changeset 0:a8dabbf47e15 draft

planemo upload for repository https://github.com/Marie59/Sentinel_2A/srs_tools commit b32737c1642aa02cc672534e42c5cb4abe0cd3e7
author ecology
date Mon, 09 Jan 2023 13:39:08 +0000
parents
children b40aba3d9e5c
files Lib_preprocess_S2.r alpha_beta.r biodiv_indices_global.r comparison_div.r functions.r indices_spectral.r indices_spectral.xml macro.xml pca_raster.r preprocess_S2.r prosail-master/R/Lib_PROSAIL.R prosail-master/R/Lib_PROSAIL_HybridInversion.R prosail-master/R/Lib_SpectralIndices.R test-data/12a0b625-9ad5-4251-a57a-305e22edef2e.xml test-data/Metadata_validation.txt test-data/Mission.csv test-data/NDVI.tabular test-data/S2A_MSIL2A_20200306T015621_N0214_R117_T51JXN_20200306T034744.zip test-data/S2A_Subset test-data/S2A_Subset.hdr test-data/S2A_T33NUD_Plots.zip val_metadata.r
diffstat 22 files changed, 15742 insertions(+), 0 deletions(-) [+]
line wrap: on
line diff
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/Lib_preprocess_S2.r	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,1335 @@
+# == == == == == == == == == == == == == == == == == == == == == == == == == == ==
+# preprocS2
+# Lib_preprocess_S2.R
+# == == == == == == == == == == == == == == == == == == == == == == == == == == ==
+# PROGRAMMERS:
+# Jean-Baptiste FERET <jb.feret@teledetection.fr>
+# Copyright 2021/08 Jean-Baptiste FERET
+# == == == == == == == == == == == == == == == == == == == == == == == == == == ==
+# This Library contains functions to preprocess Sentinel-2 images downloaded from
+# different data hubs, such as THEIA, PEPS or SCIHUB
+# == == == == == == == == == == == == == == == == == == == == == == == == == == ==
+
+#" This function adjusts information from ENVI header
+#"
+#" @param dsn character. path where to store the stack
+#" @param bands list. should include "bandname", and if possible "wavelength"
+#" @param sensor character. Name of the sensor used to acquire the image
+#" @param stretch boolean. Set TRUE to get 10% stretching at display for reflectance, mentioned in hdr only
+#"
+#" @return None
+#" @importFrom utils read.table
+#" @importFrom raster hdr raster
+#" @export
+adjust_envi_hdr <- function(dsn, bands, sensor = "Unknown", stretch = FALSE) {
+
+  # Edit hdr file to add metadata
+  hdr <- read_envi_header(get_hdr_name(dsn))
+  hdr$`band names` <- bands$bandname
+  if (length(bands$wavelength) == length(bands$bandname)) {
+    hdr$wavelength <- bands$wavelength
+  }else {
+    hdr$wavelength <- NULL
+  }
+  if (stretch == TRUE) {
+    hdr$`default stretch` <- "0.000000 1000.000000 linear"
+  }
+  hdr$`z plot range` <- NULL
+  hdr$`data ignore value` <- "-Inf"
+  hdr$`sensor type` <- sensor
+  write_envi_header(hdr = hdr, hdrpath = get_hdr_name(dsn))
+
+  # remove unnecessary files
+  file2remove <- paste(dsn, ".aux.xml", sep = "")
+  if (file.exists(file2remove)) file.remove(file2remove)
+  file2remove <- paste(dsn, ".prj", sep = "")
+  if (file.exists(file2remove)) file.remove(file2remove)
+  file2remove <- paste(dsn, ".stx", sep = "")
+  if (file.exists(file2remove)) file.remove(file2remove)
+  return(invisible())
+}
+
+#" This function saves reflectance files
+#"
+#" @param s2sat character. Sentinel-2 mission ("2A" or "2B")
+#" @param tile_s2 character. S2 tile name (2 numbers + 3 letters)
+#" @param dateacq_s2 double. date of acquisition
+#"
+#" @return s2mission character. name of the S2 mission (2A or 2B)
+#" @importFrom sen2r safe_getMetadata check_scihub_connection s2_list
+#" @export
+check_s2mission <- function(s2sat, tile_s2, dateacq_s2) {
+
+  # is mission already defined by user?
+  if (!is.null(s2sat)) {
+    if (s2sat == "2A") {
+      s2mission <- "2A"
+    }else if (s2sat == "2B") {
+      s2mission <- "2B"
+    }else {
+      message("Could not identify if image from Sentinel-2A or -2B")
+      message("Defining central wavelength of spectral bands based on S2A")
+      s2mission <- "2A"
+    }
+  }else {
+    message("Could not identify if image from Sentinel-2A or -2B")
+    message("Defining central wavelength of spectral bands based on S2A")
+    s2mission <- "2A"
+  }
+  return(s2mission)
+}
+
+#" this function aims at computing directory size
+#" @param path character. path for directory
+#" @param recursive boolean . set T if recursive
+#"
+#" @return size_files numeric. size in bytes
+#" - image stack
+#" - path for individual band files corresponding to the stack
+#" - path for vector (reprojected if needed)
+#"
+#" @importFrom raster raster
+#" @importFrom tools file_path_sans_ext file_ext
+#" @export
+dir_size <- function(path, recursive = TRUE) {
+  stopifnot(is.character(path))
+  files <- list.files(path, full.names = TRUE, recursive = recursive)
+  vect_size <- sapply(files, function(x) file.size(x))
+  size_files <- sum(vect_size)
+  return(size_files)
+}
+
+#" This function reads S2 data from L2A directories downloaded from
+#" various data hubs including THEIA, PEPS & SCIHUB (SAFE format & LaSRC)
+#" @param path_dir_s2 character. path for S2 directory
+#" @param path_vector character. path for vector file
+#" @param s2source character. type of directory format (depends on atmospheric correction: SAFE produced from Sen2Cor)
+#" @param resolution numeric. buffer applied to vector file (in meters)
+#" @param interpolation character. method for resampling. default = "bilinear"
+#" @param fre_sre character. SRE or FRE products from THEIA
+#"
+#" @return listout list.
+#" - image stack
+#" - path for individual band files corresponding to the stack
+#" - path for vector (reprojected if needed)
+#"
+#" @importFrom raster raster
+#" @importFrom tools file_path_sans_ext file_ext
+#" @export
+extract_from_s2_l2a <- function(path_dir_s2, path_vector = NULL, s2source = "SAFE",
+                                resolution = 10, interpolation = "bilinear", fre_sre = "FRE") {
+  # Get list of paths corresponding to S2 bands and depending on S2 directory
+  s2_bands <- get_s2_bands(path_dir_s2 = path_dir_s2,
+                           s2source = s2source,
+                           resolution = resolution,
+                           fre_sre = fre_sre)
+
+  if (length(s2_bands$s2bands_10m) > 0) {
+    rastmp <- raster::raster(s2_bands$s2bands_10m[[1]])
+  } else if (length(s2_bands$s2bands_20m) > 0) {
+    rastmp <- raster::raster(s2_bands$s2bands_20m[[1]])
+  }
+  # check if vector and raster share the same projection. if not, re-project vector
+  if (!is.null(path_vector)) {
+    raster_proj <- raster::projection(rastmp)
+    path_vector_reproj <- paste(tools::file_path_sans_ext(path_vector), "_reprojected.shp", sep = "")
+    path_vector <- reproject_shp(path_vector_init = path_vector,
+                                 newprojection = raster_proj,
+                                 path_vector_reproj = path_vector_reproj)
+  }
+  # Extract data corresponding to the vector footprint (if provided) & resample data if needed
+  if (length(s2_bands$s2bands_10m) > 0) {
+    stack_10m <- read_s2bands(s2_bands = s2_bands$s2bands_10m, path_vector = path_vector,
+                              resampling = 1, interpolation = interpolation)
+  }
+  if (length(s2_bands$s2bands_20m) > 0) {
+    if (resolution == 10 && s2source != "LaSRC") {
+      resampling <- 2
+    }else {
+      resampling <- 1
+    }
+    stack_20m <- read_s2bands(s2_bands = s2_bands$s2bands_20m, path_vector = path_vector,
+                              resampling = resampling, interpolation = interpolation)
+  }
+  # get full stack including 10m and 20m spatial resolution
+  if (length(s2_bands$s2bands_10m) > 0 && length(s2_bands$s2bands_20m) > 0) {
+    diffxstart <- attributes(stack_10m)$dimensions[[1]]$from - attributes(stack_20m)$dimensions[[1]]$from
+    diffxstop <- attributes(stack_10m)$dimensions[[1]]$to - attributes(stack_20m)$dimensions[[1]]$to
+    diffystart <- attributes(stack_10m)$dimensions[[2]]$from - attributes(stack_20m)$dimensions[[2]]$from
+    diffystop <- attributes(stack_10m)$dimensions[[2]]$to - attributes(stack_20m)$dimensions[[2]]$to
+    if (!diffxstop == 0) {
+      # size of 20m > size of 10m --> reduce 20m
+      # size of 10m > size of 20m --> reduce 10m
+      if (diffxstop > 0) {
+        stack_10m <- stack_10m[, 1:(dim(stack_10m)[1] - diffxstop), , ]
+      }else if (diffxstop < 0) {
+        stack_20m <- stack_20m[, 1:(dim(stack_20m)[1] + diffxstop), , ]
+      }
+    }
+    if (!diffystop == 0) {
+      if (diffystop > 0) {
+        stack_10m <- stack_10m[, , 1:(dim(stack_10m)[2] - diffystop), ]
+      }else if (diffystop < 0) {
+        stack_20m <- stack_20m[, , 1:(dim(stack_20m)[2] + diffystop), ]
+      }
+    }
+    if (!diffxstart == 0) {
+      if (diffxstart > 0) {
+        stack_20m <- stack_20m[, (1 + diffxstart):dim(stack_20m)[1], , ]
+      }else if (diffxstart < 0) {
+        stack_10m <- stack_10m[, (1 - diffxstart):dim(stack_10m)[1], , ]
+      }
+    }
+    if (!diffystart == 0) {
+      if (diffystart > 0) {
+        stack_20m <- stack_20m[, , (1 + diffystart):dim(stack_20m)[2], ]
+      }else if (diffystart < 0) {
+        stack_10m <- stack_10m[, , (1 - diffystart):dim(stack_10m)[2], ]
+      }
+    }
+    # reorder bands with increasing wavelength
+    s2bands <- c("B02", "B03", "B04", "B05", "B06", "B07", "B08", "B8A", "B11", "B12", "Cloud")
+    namebands <- c(names(s2_bands$s2bands_10m), names(s2_bands$s2bands_20m))
+    reorder_bands <- match(s2bands, namebands)
+    namebands <- namebands[reorder_bands]
+    listfiles <- c(stack_10m$attr, stack_20m$attr)[reorder_bands]
+
+    # adjust size to initial vector footprint without buffer
+    # --> buffer is needed in order to ensure that extraction following
+    # footprint of vector matches for images of different spatial resolution
+    # get bounding box corresponding to footprint of image or image subset
+    bb_xycoords <- get_bb(path_raster = listfiles[1],
+                          path_vector = path_vector, buffer = 0)
+
+    # prepare reading data for extent defined by bounding box
+    nxoff <- bb_xycoords$UL$col
+    nyoff <- bb_xycoords$UL$row
+    nxsize <- bb_xycoords$UR$col - bb_xycoords$UL$col + 1
+    nysize <- bb_xycoords$LR$row - bb_xycoords$UR$row + 1
+    nbufxsize <- nxsize
+    nbufysize <- nysize
+    s2_stack <- stars::read_stars(listfiles, along = "band",
+                                  RasterIO = list(nXOff = nxoff, nYOff = nyoff,
+                                                  nXSize = nxsize, nYSize = nysize,
+                                                  nBufXSize = nbufxsize, nBufYSize = nbufysize,
+                                                  resample = "nearest_neighbour"), proxy = TRUE)
+
+
+    names(s2_stack$attr) <- namebands
+  }else if (length(s2_bands$s2bands_10m) > 0) {
+    s2_stack <- stack_10m
+    namebands <- names(s2_bands$s2bands_10m)
+    names(s2_stack$attr) <- namebands
+  }else if (length(s2_bands$s2bands_20m) > 0) {
+    s2_stack <- stack_20m
+    namebands <- names(s2_bands$s2bands_20m)
+    names(s2_stack$attr) <- namebands
+  }
+
+  listout <- list("s2_stack" = s2_stack, "s2_bands" = s2_bands, "path_vector" = path_vector,
+                  "namebands" = namebands)
+  return(listout)
+}
+
+#" This function gets coordinates of a bounding box defined by a vector (optional) and a raster
+#"
+#" @param path_raster character. path for raster file
+#" @param path_vector character. path for vector file
+#" @param buffer numeric. buffer applied to vector file (in meters)
+#"
+#" @return bb_xycoords list. Coordinates (in pixels) of the upper/lower right/left corners of bounding box
+#" @export
+get_bb <- function(path_raster, path_vector = NULL, buffer = 0) {
+
+  if (!is.null(path_vector)) {
+    # get bounding box with a 50m buffer in order to allow for interpolation
+    bb_xycoords <- get_bb_from_vector(path_raster = path_raster,
+                                      path_vector = path_vector,
+                                      buffer = buffer)
+  }else if (is.null(path_vector)) {
+    bb_xycoords <- get_bb_from_fullimage(path_raster)
+  }
+  return(bb_xycoords)
+}
+
+#" This function gets extreme coordinates of a bounding box corresponding to a full image
+#"
+#" @param path_raster character. path for raster file
+#"
+#" @return bb_xycoords list. Coordinates (in pixels) of the upper/lower right/left corners of bounding box
+#" @importFrom raster raster
+#" @export
+get_bb_from_fullimage <- function(path_raster) {
+  # get raster coordinates corresponding to Full image
+  rasterobj <- raster::raster(path_raster)
+  bb_xycoords <- list()
+  bb_xycoords[["UL"]] <- data.frame("row" = 1, "col" = 1)
+  bb_xycoords[["UR"]] <- data.frame("row" = 1, "col" = dim(rasterobj)[2])
+  bb_xycoords[["LL"]] <- data.frame("row" = dim(rasterobj)[1], "col" = 1)
+  bb_xycoords[["LR"]] <- data.frame("row" = dim(rasterobj)[1], "col" = dim(rasterobj)[2])
+  return(bb_xycoords)
+}
+
+#" This gets bounding box corresponding to a vector from a raster (UL, UR, LL, LR corners)
+#"
+#" @param path_raster character. path for raster file
+#" @param path_vector character. path for vector file
+#" @param buffer numeric. buffer applied to vector file (in meters)
+#"
+#" @return bb_xycoords list. Coordinates (in pixels) of the upper/lower right/left corners of bounding box
+#" @importFrom sf st_read st_bbox st_crop
+#" @importFrom rgeos gbuffer bbox2SP
+#" @importFrom sp SpatialPoints bbox
+#" @importFrom raster projection extract extent raster
+#" @importFrom methods as
+#" @export
+get_bb_from_vector <- function(path_raster, path_vector, buffer = 0) {
+
+  data_raster <- raster::raster(path_raster)
+  # extract BB coordinates from vector
+  bb_vector <- rgeos::gbuffer(spgeom = as(sf::st_read(dsn = path_vector, quiet = TRUE), "Spatial"),
+                              width = buffer, byid = TRUE)
+  # extract BB coordinates from raster
+  bb_raster <- rgeos::bbox2SP(bbox = bbox(data_raster))
+  # compute intersection
+  intersect <- rgeos::gIntersection(bb_vector, bb_raster)
+  bbext <- raster::extent(intersect)
+  xmin <- bbext[1]
+  xmax <- bbext[2]
+  ymin <- bbext[3]
+  ymax <- bbext[4]
+  # get coordinates of bounding box corresponding to vector
+  corners <- list()
+  corners[["UR"]] <- sp::SpatialPoints(coords = cbind(xmax, ymax))
+  corners[["LR"]] <- sp::SpatialPoints(coords = cbind(xmax, ymin))
+  corners[["UL"]] <- sp::SpatialPoints(coords = cbind(xmin, ymax))
+  corners[["LL"]] <- sp::SpatialPoints(coords = cbind(xmin, ymin))
+  raster::projection(corners[["UL"]]) <- raster::projection(corners[["UR"]]) <-
+    raster::projection(corners[["LL"]]) <- raster::projection(corners[["LR"]]) <-
+    raster::projection(sf::st_read(dsn = path_vector, quiet = TRUE))
+  # get coordinates for corners of bounding box
+  bb_xycoords <- list()
+  for (corner in names(corners)) {
+    ex_df <- as.data.frame(raster::extract(data_raster, corners[[corner]], cellnumbers = TRUE))
+    colrow <- ind2sub(data_raster, ex_df$cell)
+    bb_xycoords[[corner]] <- data.frame("row" = colrow$row, "col" = colrow$col)
+  }
+  return(bb_xycoords)
+}
+
+#" get hdr name from image file name, assuming it is BIL format
+#"
+#" @param impath path of the image
+#"
+#" @return corresponding hdr
+#" @import tools
+#" @export
+get_hdr_name <- function(impath) {
+  if (tools::file_ext(impath) == "") {
+    impathhdr <- paste(impath, ".hdr", sep = "")
+  }else if (tools::file_ext(impath) == "bil") {
+    impathhdr <- gsub(".bil", ".hdr", impath)
+  }else if (tools::file_ext(impath) == "zip") {
+    impathhdr <- gsub(".zip", ".hdr", impath)
+  }else {
+    impathhdr <- paste(tools::file_path_sans_ext(impath), ".hdr", sep = "")
+  }
+
+  if (!file.exists(impathhdr)) {
+    message("WARNING : COULD NOT FIND hdr FILE")
+    print(impathhdr)
+    message("Process may stop")
+  }
+  return(impathhdr)
+}
+
+#" This function returns path for the spectral bands to be used
+#"
+#" @param path_dir_s2 character. Path for the directory containing S2 data. either L2A .SAFE S2 file or THEIA directory
+#" @param s2source character. defines if data comes from SciHub as SAFE directory, from THEIA or from LaSRC
+#" @param resolution numeric. spatial resolution of the final image: 10m or 20m
+#" @param fre_sre character. SRE or FRE products from THEIA
+#"
+#" @return listbands list. contains path for spectral bands corresponding to 10m and 20m resolution
+#" @export
+get_s2_bands <- function(path_dir_s2, s2source = "SAFE", resolution = 10, fre_sre = "FRE") {
+
+  if (s2source == "SAFE" || s2source == "Sen2Cor") {
+    listbands <- get_s2_bands_from_sen2cor(path_dir_s2 = path_dir_s2, resolution = resolution)
+  }else if (s2source == "THEIA") {
+    listbands <- get_s2_bands_from_theia(path_dir_s2 = path_dir_s2, resolution = resolution,
+                                         fre_sre = fre_sre)
+  }else if (s2source == "LaSRC") {
+    listbands <- get_s2_bands_from_lasrc(path_dir_s2 = path_dir_s2, resolution = resolution)
+  }else {
+    message("The data source (Atmospheric correction) for Sentinel-2 image is unknown")
+    message("Please provide S2 images from one of the following data sources:")
+    message("- LaSRC (atmospheric correction: LaSRC)")
+    message("- THEIA (atmospheric correction: MAJA)")
+    message("- SAFE (atmospheric correction: Sen2Cor)")
+    s2bands_10m <- s2bands_20m <- granule <- mtdfile <- metadata_msi <- metadata_lasrc <- NULL
+    listbands <- list("s2bands_10m" = s2bands_10m, "s2bands_20m" = s2bands_20m, "GRANULE" = granule,
+                      "metadata" = mtdfile, "metadata_MSI" = metadata_msi,
+                      "metadata_lasrc" = metadata_lasrc)
+  }
+  return(listbands)
+}
+
+#" This function returns path for the spectral bands in SAFE / sen2Cor directory
+#"
+#" @param path_dir_s2 character. Path for the SAFE directory containing S2 data
+#" @param resolution numeric. spatial resolution of the final image: 10m or 20m
+#"
+#" @return listbands list. contains path for spectral bands corresponding to 10m and 20m resolution, as well name of as granule
+#" @export
+get_s2_bands_from_sen2cor <- function(path_dir_s2, resolution = 10) {
+  # build path for all bands
+  if (resolution == 10) {
+    b10m <- c("B02", "B03", "B04", "B08")
+    b20m <- c("B05", "B06", "B07", "B8A", "B11", "B12")
+  }else {
+    b10m <- c()
+    b20m <- c("B02", "B03", "B04", "B05", "B06", "B07", "B08", "B8A", "B11", "B12")
+  }
+  # get granule directory & path for corresponding metadata XML file
+  granule <- list.dirs(list.dirs(path_dir_s2, recursive = FALSE)[grep(pattern = "GRANULE",
+                                                                     x = list.dirs(path_dir_s2, recursive = FALSE))], recursive = FALSE)
+  mtdfile <- file.path(granule, "MTD_TL.xml")
+  if (file.exists(file.path(path_dir_s2, "MTD_MSIL2A.xml"))) {
+    mtd_msi_file <- file.path(path_dir_s2, "MTD_MSIL2A.xml")
+  } else {
+    mtd_msi_file <- NULL
+  }
+
+  # Define path for bands
+  s2bands_20m_dir <- file.path(granule, "IMG_DATA", "R20m")
+  s2bands_10m_dir <- file.path(granule, "IMG_DATA", "R10m")
+  s2bands_10m <- s2bands_20m <- list()
+  for (band in b20m) {
+    s2bands_20m[[band]] <- file.path(s2bands_20m_dir, list.files(s2bands_20m_dir, pattern = band))
+  }
+  for (band in b10m) {
+    s2bands_10m[[band]] <- file.path(s2bands_10m_dir, list.files(s2bands_10m_dir, pattern = band))
+  }
+  # get cloud mask
+  cloud <- "MSK_CLDPRB_20m"
+  cloud_20m_dir <- file.path(granule, "QI_DATA")
+  s2bands_20m[["Cloud"]] <- file.path(cloud_20m_dir, list.files(cloud_20m_dir, pattern = cloud))
+  listbands <- list("s2bands_10m" = s2bands_10m,
+                    "s2bands_20m" = s2bands_20m,
+                    "GRANULE" = granule,
+                    "metadata" = mtdfile,
+                    "metadata_MSI" = mtd_msi_file,
+                    "metadata_lasrc" = NULL)
+  return(listbands)
+}
+
+#" This function returns path for the spectral bands in LaSRC directory
+#"
+#" @param path_dir_s2 character. Path for the SAFE directory containing S2 data
+#" @param resolution numeric. spatial resolution of the final image: 10m or 20m
+#"
+#" @return listbands list. contains path for spectral bands corresponding to 10m and 20m resolution, as well name of as granule
+#" @importFrom stringr str_subset
+#" @export
+get_s2_bands_from_lasrc <- function(path_dir_s2, resolution = 10) {
+
+  # get granule directory & path for corresponding metadata XML file
+  granule <- path_dir_s2
+  mtdfile <- file.path(granule, "MTD_TL.xml")
+  if (file.exists(file.path(path_dir_s2, "MTD_MSIL1C.xml"))) {
+    mtd_msi_file <- file.path(path_dir_s2, "MTD_MSIL1C.xml")
+  } else {
+    mtd_msi_file <- NULL
+  }
+
+  # build path for all bands
+  b10m <- c("band2", "band3", "band4", "band5", "band6", "band7", "band8", "band8a", "band11", "band12")
+  b10m_standard <- c("B02", "B03", "B04", "B05", "B06", "B07", "B08", "B8A", "B11", "B12")
+  # Define path for bands
+  s2bands_10m <- s2bands_20m <- list()
+  for (i in 1:seq_along(b10m)) {
+    s2bands_10m[[b10m_standard[i]]] <- file.path(path_dir_s2,
+                                                 list.files(path_dir_s2,
+                                                            pattern = paste(b10m[i], ".tif", sep = "")))
+  }
+
+  # get metadata file containing offset
+  mtd_lasrc <- str_subset(list.files(path_dir_s2, pattern = "S2"), ".xml$")
+  if (file.exists(file.path(path_dir_s2, mtd_lasrc))) {
+    metadata_lasrc <- file.path(path_dir_s2, mtd_lasrc)
+  } else {
+    metadata_lasrc <- NULL
+  }
+  # get cloud mask
+  cloud <- "CLM"
+  s2bands_10m[["Cloud"]] <- file.path(path_dir_s2, list.files(path_dir_s2, pattern = cloud))
+  listbands <- list("s2bands_10m" = s2bands_10m,
+                    "s2bands_20m" = s2bands_20m,
+                    "GRANULE" = granule,
+                    "metadata" = mtdfile,
+                    "metadata_MSI" = mtd_msi_file,
+                    "metadata_lasrc" = metadata_lasrc)
+  return(listbands)
+}
+
+#" This function returns path for the spectral bands in THEIA directory
+#"
+#" @param path_dir_s2 character. Path for the SAFE directory containing S2 data
+#" @param resolution numeric. spatial resolution of the final image: 10m or 20m
+#" @param fre_sre character. SRE or FRE products from THEIA
+#"
+#" @return listbands list. contains path for spectral bands corresponding to 10m and 20m resolution, as well name of as granule
+#" @export
+get_s2_bands_from_theia <- function(path_dir_s2, resolution = 10, fre_sre = "FRE") {
+
+  # build path for all bands
+  if (resolution == 10) {
+    b10m <- c("B02", "B03", "B04", "B08")
+    b20m <- c("B05", "B06", "B07", "B8A", "B11", "B12")
+  } else {
+    b10m <- c()
+    b20m <- c("B02", "B03", "B04", "B05", "B06", "B07", "B08", "B8A", "B11", "B12")
+  }
+
+  # get path_tile_s2 directory & path for corresponding metadata XML file
+  path_tile_s2 <- list.dirs(path_dir_s2, recursive = FALSE)
+  files_tile_s2 <- list.files(path_tile_s2, recursive = FALSE)
+  mtdfile <- file.path(path_tile_s2, files_tile_s2[grep(pattern = "MTD_ALL.xml", x = files_tile_s2)])
+
+  # Define path for bands
+  s2bands_10m_dir <- s2bands_20m_dir <- path_tile_s2
+  s2bands_10m <- s2bands_20m <- list()
+  for (band in b20m) {
+    band_20m_pattern <- paste0(gsub("0", "", band), ".tif") # for THEAI band 2 is "B2" ("B02" for SAFE)
+    list_files_20m <- list.files(s2bands_20m_dir, pattern = band_20m_pattern)
+    s2bands_20m[[band]] <- file.path(s2bands_20m_dir, list_files_20m)[grep(pattern = fre_sre,
+                                                                           x = file.path(s2bands_20m_dir, list_files_20m))]
+  }
+  for (band in b10m) {
+    band_10m_pattern <- paste0(gsub("0", "", band), ".tif") # for THEAI band 2 is "B2" ("B02" for SAFE)
+    list_files_10m <- list.files(s2bands_10m_dir, pattern = band_10m_pattern)
+    s2bands_10m[[band]] <- file.path(s2bands_10m_dir, list_files_10m)[grep(pattern = fre_sre,
+                                                                           x = file.path(s2bands_10m_dir, list_files_10m))]
+  }
+
+  # get cloud mask 10m
+  cloud_10m <- "CLM_R1"
+  cloud_10m_dir <- file.path(path_tile_s2, "MASKS")
+  s2bands_10m[["Cloud"]] <- file.path(cloud_10m_dir, list.files(cloud_10m_dir, pattern = cloud_10m))
+
+  # get cloud mask 20m
+  cloud_20m <- "CLM_R2"
+  cloud_20m_dir <- file.path(path_tile_s2, "MASKS")
+  s2bands_20m[["Cloud"]] <- file.path(cloud_20m_dir, list.files(cloud_20m_dir, pattern = cloud_20m))
+
+  # return list bands
+  listbands <- list("s2bands_10m" = s2bands_10m,
+                    "s2bands_20m" = s2bands_20m,
+                    "path_tile_s2" = path_tile_s2,
+                    "metadata" = mtdfile)
+  return(listbands)
+}
+
+#" This function check S2 data level:
+#" - L2A: already atmospherically corrected
+#" - L1C: requires atmospheric corrections with sen2cor
+#"
+#" @param prodname character. original name for the S2 image
+#"
+#" @return s2level character. S2 level: L1C or L2A
+#" @export
+get_s2_level <- function(prodname) {
+  prodname <- basename(prodname)
+  if (length(grep(pattern = "L1C_", x = prodname)) == 1) {
+    s2level <- "L1C"
+  } else if (length(grep(pattern = "L2A_", x = prodname)) == 1) {
+    s2level <- "L2A"
+  }
+  return(s2level)
+}
+
+#" This function gets tile from S2 image
+#"
+#" @param prodname character. original name for the S2 image
+#"
+#" @return tilename character
+#" @importFrom tools file_path_sans_ext
+#" @export
+get_tile <- function(prodname) {
+  prodname <- basename(prodname)
+  tilename <- tools::file_path_sans_ext(gsub("_.*", "", gsub(".*_T", "", prodname)))
+  return(tilename)
+}
+
+#" This function gets acquisition date from S2 image
+#"
+#" @param prodname character. original name for the S2 image
+#"
+#" @return dateacq character
+#" @export
+get_date <- function(prodname) {
+  prodname <- basename(prodname)
+  dateacq <- as.Date(gsub("T.*", "", gsub(".*_20", "20", prodname)), format = "%Y%m%d")
+  return(dateacq)
+}
+
+#" download S2 L1C data from Copernicus hub or Google cloud
+#"
+#" @param list_safe safe object. produced with sen2r::s2_list
+#" @param l1c_path character. path for storage of L1C image
+#" @param path_vector path for a vector file
+#" @param time_interval dates. time interval for S2 query
+#" @param googlecloud boolean. set to TRUE if google cloud SDK is installed and
+#" @param forcegoogle boolean. set to TRUE if only google requested
+#" sen2r configured as an alternative hub for S2 download
+#"
+#" @return prodname character. S2 Product name
+#" @importFrom sen2r safe_is_online s2_list s2_download s2_order check_gcloud
+#" @export
+get_s2_l1c_image <- function(list_safe, l1c_path, path_vector, time_interval,
+                             googlecloud = FALSE, forcegoogle = FALSE) {
+  # Check if available from Copernicus hub first
+  copernicus_avail <- sen2r::safe_is_online(list_safe)
+  # if available: download
+  prodname <- attr(list_safe, which = "name")
+  if (file.exists(file.path(l1c_path, prodname))) {
+    message("L1C file already downloaded")
+    message(file.path(l1c_path, prodname))
+  } else {
+    if (copernicus_avail == TRUE && forcegoogle == FALSE) {
+      sen2r::s2_download(list_safe, outdir = l1c_path)
+    } else if (copernicus_avail == FALSE || forcegoogle == TRUE) {
+      # if not available and googlecloud==TRUE
+      if (googlecloud == TRUE) {
+        # check if google cloud SDK available from this computer
+        ggc <- sen2r::check_gcloud()
+        if (ggc == TRUE) {
+          message("downloading from Google cloud")
+          list_safe_ggc <- sen2r::s2_list(spatial_extent = sf::st_read(dsn = path_vector),
+                                          time_interval = time_interval,
+                                          server = "gcloud")
+          prodname <- attr(list_safe_ggc, which = "name")
+          if (file.exists(file.path(l1c_path, prodname))) {
+            message("L1C file already downloaded")
+            message(file.path(l1c_path, prodname))
+          } else {
+            sen2r::s2_download(list_safe_ggc, outdir = l1c_path)
+            # check if QI_DATA exists in DATASTRIP, and create it if not the case
+            datastrip_path <- file.path(l1c_path, prodname, "DATASTRIP")
+            dsdir <- list.dirs(datastrip_path, recursive = FALSE)
+            if (length(match(list.dirs(dsdir, recursive = FALSE, full.names = FALSE), "QI_DATA")) == 0) {
+              dir.create(file.path(dsdir, "QI_DATA"))
+            }
+          }
+        } else if (ggc == FALSE) {
+          message("googlecloud set to TRUE but missing")
+          message("Please install Google cloud SDK")
+          message("https://cloud.google.com/sdk/docs/install")
+          message("and/or set configuration of sen2r following instructions")
+          message("https://www.r-bloggers.com/2021/06/downloading-sentinel-2-archives-from-google-cloud-with-sen2r/")
+        }
+      }
+    }
+    if (copernicus_avail == FALSE && googlecloud == FALSE) {
+      message("S2 image in Long Term Archive (LTA)")
+      message("Ordering image from  LTA")
+      message("This may take 1 day, please run your script later")
+      orders2 <- sen2r::s2_order(list_safe)
+      message("An alternative is possible with Google cloud SDK")
+      message("https://cloud.google.com/sdk/docs/install")
+      message("and/or set configuration of sen2r following instructions")
+      message("https://www.r-bloggers.com/2021/06/downloading-sentinel-2-archives-from-google-cloud-with-sen2r/")
+    }
+  }
+  return(prodname)
+}
+
+#" download S2 L2A data from Copernicus hub or convert L1C to L2A
+#"
+#" @param l2a_path character. path for storage of L2A image
+#" @param spatial_extent path for a vector file
+#" @param dateacq character. date of acquisition
+#" @param deletel1c Boolean. set TRUE to delete L1C images
+#" @param Sen2Cor Boolean. set TRUE to automatically perform atmospheric corrections using sen2Cor
+#" @param googlecloud boolean. set to TRUE if google cloud SDK is installed and
+#" sen2r configured as an alternative hub for S2 download
+#"
+#" @return pathl2a character. Path for L2A image
+#" @importFrom sen2r s2_list s2_download
+#" @importFrom R.utils getAbsolutePath
+
+#" @export
+get_s2_l2a_image <- function(l2a_path, spatial_extent, dateacq,
+                             deletel1c = FALSE, sen2cor = TRUE,
+                             googlecloud = FALSE) {
+
+  # Needs to be updated: define path for L1c data
+  l1c_path <- l2a_path
+  # define time interval
+  time_interval <- as.Date(c(dateacq, dateacq))
+  # get list S2 products corresponding to study area and date of interest using sen2r package
+  if (googlecloud == TRUE) {
+    server <- c("scihub", "gcloud")
+  } else if (googlecloud == FALSE) {
+    server <- "scihub"
+  }
+  list_safe <- sen2r::s2_list(spatial_extent = sf::st_read(dsn = spatial_extent),
+                              time_interval = time_interval,
+                              server = server, availability = "check")
+  # download products
+  sen2r::s2_download(list_safe, outdir = l2a_path)
+  # name all products
+  prodname <- attr(list_safe, which = "name")
+  prodfullpath <- file.path(l2a_path, prodname)
+  if (sen2cor == TRUE) {
+    for (imgname in prodname) {
+      s2level <- get_s2_level(imgname)
+      if (s2level == "L1C") {
+        datepattern <- gsub(pattern = "-", replacement = "", x = dateacq)
+        pathl2a <- s2_from_l1c_to_l2a(prodname = imgname, l1c_path = l2a_path, l2a_path = l2a_path,
+                                      datepattern = datepattern, tmp_path = NULL)
+        if (deletel1c == TRUE) {
+          unlink(x = R.utils::getAbsolutePath(file.path(l1c_path, prodname)),
+                 recursive = TRUE, force = TRUE)
+          # delete from full path and add atmospherically corrected
+          whichimg <- grep(x = prodfullpath, pattern = imgname)
+          dateacq <- get_date(imgname)
+          tilename <- get_tile(imgname)
+          pathl2a <- list.files(path = l2a_path, pattern = tilename, full.names = TRUE)
+          pathl2a <- pathl2a[grep(x = pathl2a, pattern = dateacq)]
+          pathl2a <- pathl2a[grep(x = basename(pathl2a), pattern = "L2A")]
+          prodfullpath[whichimg] <- pathl2a
+        }
+      }
+    }
+  }
+
+  return(prodfullpath)
+}
+
+#" convert image coordinates from index to X-Y
+#"
+#" @param Raster image raster object
+#" @param image_index coordinates corresponding to the raster
+ind2sub <- function(data_raster, image_index) {
+  c <- ((image_index - 1) %% data_raster@ncols) + 1
+  r <- floor((image_index - 1) / data_raster@ncols) + 1
+  my_list <- list("col" = c, "row" = r)
+  return(my_list)
+}
+
+#" mosaicing a set of rasters
+#"
+#" @param list_rasters character. list of paths corresponding to rasters to mosaic
+#" @param dst_mosaic character. path and name of mosaic produced
+#" @param stretch boolean. Set TRUE to get 10% stretching at display for reflectance, mentioned in hdr only
+#"
+#" @return None
+#" @importFrom gdalUtils mosaic_rasters
+#" @importFrom raster hdr raster
+#" @export
+mosaic_rasters <- function(list_rasters, dst_mosaic, stretch = FALSE) {
+
+  # produce mosaic
+  gdalUtils::mosaic_rasters(gdalfile = list_rasters, dst_dataset = dst_mosaic,
+                            separate = FALSE, of = "Ehdr", verbose = TRUE)
+
+  # convert hdr to ENVI format
+  raster::hdr(raster(dst_mosaic), format = "ENVI")
+  # add info to hdr based on initial rasters
+  hdr_init <- read_envi_header(get_hdr_name(list_rasters[1]))
+  hdr <- read_envi_header(get_hdr_name(dst_mosaic))
+  hdr$`band names` <- hdr_init$`band names`
+  hdr$wavelength <- hdr_init$wavelength
+  if (stretch == TRUE) {
+    hdr$`default stretch` <- "0.000000 1000.000000 linear"
+  }
+  hdr$`z plot range` <- NULL
+  hdr$`data ignore value` <- "-Inf"
+  hdr$`sensor type` <- hdr_init$`sensor type`
+  hdr$`coordinate system string` <- read.table(paste(file_path_sans_ext(dst_mosaic), ".prj", sep = ""))
+  write_envi_header(hdr = hdr, hdrpath = get_hdr_name(dst_mosaic))
+  return(invisible())
+}
+
+#" Reads ENVI hdr file
+#"
+#" @param hdrpath Path of the hdr file
+#"
+#" @return list of the content of the hdr file
+#" @export
+read_envi_header <- function(hdrpath) {
+  if (!grepl(".hdr$", hdrpath)) {
+    stop("File extension should be .hdr")
+  }
+  hdr <- readLines(hdrpath)
+  ## check ENVI at beginning of file
+  if (!grepl("ENVI", hdr[1])) {
+    stop("Not an ENVI header (ENVI keyword missing)")
+  } else {
+    hdr <- hdr [-1]
+  }
+  ## remove curly braces and put multi-line key-value-pairs into one line
+  hdr <- gsub("\\{([^}]*)\\}", "\\1", hdr)
+  l <- grep("\\{", hdr)
+  r <- grep("\\}", hdr)
+
+  if (length(l) != length(r)) {
+    stop("Error matching curly braces in header (differing numbers).")
+  }
+
+  if (any(r <= l)) {
+    stop("Mismatch of curly braces in header.")
+  }
+
+  hdr[l] <- sub("\\{", "", hdr[l])
+  hdr[r] <- sub("\\}", "", hdr[r])
+
+  for (i in rev(seq_along(l))) {
+    hdr <- c(
+      hdr [seq_len(l [i] - 1)],
+      paste(hdr [l [i]:r [i]], collapse = "\n"),
+      hdr [-seq_len(r [i])]
+    )
+  }
+
+  ## split key = value constructs into list with keys as names
+  hdr <- sapply(hdr, split_line, "=", USE.NAMES = FALSE)
+  names(hdr) <- tolower(names(hdr))
+
+  ## process numeric values
+  tmp <- names(hdr) %in% c(
+    "samples", "lines", "bands", "header offset", "data type",
+    "byte order", "default bands", "data ignore value",
+    "wavelength", "fwhm", "data gain values"
+  )
+  hdr [tmp] <- lapply(hdr [tmp], function(x) {
+    as.numeric(unlist(strsplit(x, ", ")))
+  })
+
+  return(hdr)
+}
+
+#" This function reads a list of files corresponding to S2 bands
+#" S2 bands are expected to have uniform spatial resolution and footprint
+#" @param s2_bands list. list of S2 bands obtained from get_s2_bands
+#" @param path_vector path for a vector file
+#" @param resampling numeric. resampling factor (default = 1, set to resampling = 2 to convert 20m into 10m resolution)
+#" @param interpolation character. method for resampling. default = "bilinear"
+#"
+#" @return stack_s2 list. contains stack of S2 bands
+#"
+#" @importFrom stars read_stars
+#" @importFrom sf st_bbox st_read st_crop
+#" @export
+
+read_s2bands <- function(s2_bands, path_vector = NULL,
+                         resampling = 1, interpolation = "bilinear") {
+  # get bounding box corresponding to footprint of image or image subset
+  bb_xycoords <- get_bb(path_raster = s2_bands[[1]],
+                        path_vector = path_vector, buffer = 50)
+
+  # prepare reading data for extent defined by bounding box
+  nxoff <- bb_xycoords$UL$col
+  nyoff <- bb_xycoords$UL$row
+  nxsize <- bb_xycoords$UR$col - bb_xycoords$UL$col + 1
+  nysize <- bb_xycoords$LR$row - bb_xycoords$UR$row + 1
+  nbufxsize <- resampling * nxsize
+  nbufysize <- resampling * nysize
+  if (resampling == 1) {
+    interpolation <- "nearest_neighbour"
+  }
+  # write interpolated individual bands in temp directory
+  tmpdir <- tempdir()
+  tmpfile <- list()
+  for (band in names(s2_bands)) {
+    stack_s2_tmp <- stars::read_stars(s2_bands[[band]], along = "band",
+                                      RasterIO = list(nXOff = nxoff, nYOff = nyoff,
+                                                      nXSize = nxsize, nYSize = nysize,
+                                                      nBufXSize = nbufxsize, nBufYSize = nbufysize,
+                                                      resample = interpolation), proxy = FALSE)
+    if (!is.null(path_vector)) {
+      stack_s2_tmp <- sf::st_crop(x = stack_s2_tmp, y = st_bbox(st_read(dsn = path_vector, quiet = TRUE)))
+    }
+    tmpfile[[band]] <- file.path(tmpdir, tools::file_path_sans_ext(basename(s2_bands[[band]])))
+    if (band == "Cloud") {
+      stars::write_stars(obj = stack_s2_tmp, dsn = tmpfile[[band]],
+                         driver =  "ENVI", type = "Byte", overwrite = TRUE)
+    } else {
+      stars::write_stars(obj = stack_s2_tmp, dsn = tmpfile[[band]],
+                         driver =  "ENVI", type = "Int16", overwrite = TRUE)
+    }
+    gc()
+  }
+
+  stack_s2 <- stars::read_stars(tmpfile, along = "band", proxy = TRUE)
+  return(stack_s2)
+}
+
+#" This function reads a raster stack, and gets footprint as pixel coordinates or vector file as input
+#" @param path_raster character. path for raster file
+#" @param path_vector character. path for vector file
+#" @param bbpix list. coordinates of pixels corresponding to a bounding box
+#"
+#" @return starsobj stars object corresponding to raster or raster subset
+#"
+#" @importFrom stars read_stars
+#" @importFrom sf st_bbox st_read st_crop
+#" @export
+read_raster <- function(path_raster, path_vector = NULL, bbpix = NULL) {
+  # get bounding box corresponding to footprint of image or image subset
+  if (is.null(bbpix)) {
+    bb_xycoords <- get_bb(path_raster = path_raster,
+                          path_vector = path_vector, buffer = 0)
+  } else {
+    bb_xycoords <- bbpix
+  }
+  # prepare reading data for extent defined by bounding box
+  nxoff <- bb_xycoords$UL$col
+  nyoff <- bb_xycoords$UL$row
+  nxsize <- bb_xycoords$UR$col - bb_xycoords$UL$col + 1
+  nysize <- bb_xycoords$LR$row - bb_xycoords$UR$row + 1
+  nbufxsize <- nxsize
+  nbufysize <- nysize
+  starsobj <- stars::read_stars(path_raster, along = "band",
+                                RasterIO = list(nXOff = nxoff, nYOff = nyoff,
+                                                  nXSize = nxsize, nYSize = nysize,
+                                                  nBufXSize = nbufxsize, nBufYSize = nbufysize),
+                                proxy = FALSE)
+  return(starsobj)
+}
+
+#" This function reprojects a shapefile and saves reprojected shapefile
+#"
+#" @param path_vector_init character. path for a shapefile to be reprojected
+#" @param newprojection character. projection to be applied to path_vector_init
+#" @param path_vector_reproj character. path for the reprojected shapefile
+#"
+#" @return path_vector character. path of the shapefile
+#" - path_vector_init if the vector did not need reprojection
+#" - path_vector_reproj if the vector needed reprojection
+#"
+#" @importFrom rgdal readOGR writeOGR
+#" @importFrom sp spTransform
+#" @importFrom raster projection
+#" @export
+reproject_shp <- function(path_vector_init, newprojection, path_vector_reproj) {
+
+  dir_vector_init <- dirname(path_vector_init)
+  # shapefile extension
+  fileext <- file_ext(basename(path_vector_init))
+  if (fileext == "shp") {
+    name_vector_init <- file_path_sans_ext(basename(path_vector_init))
+    vector_init_ogr <- rgdal::readOGR(dir_vector_init, name_vector_init, verbose = FALSE)
+  } else if (fileext == "kml") {
+    vector_init_ogr <- rgdal::readOGR(path_vector_init, verbose = FALSE)
+  }
+  vector_init_proj <- raster::projection(vector_init_ogr)
+
+  if (!vector_init_proj == newprojection) {
+    dir_vector_reproj <- dirname(path_vector_reproj)
+    name_vector_reproj <- file_path_sans_ext(basename(path_vector_reproj))
+    vector_reproj <- sp::spTransform(vector_init_ogr, newprojection)
+    rgdal::writeOGR(obj = vector_reproj, dsn = dir_vector_reproj, layer = name_vector_reproj,
+                    driver = "ESRI Shapefile", overwrite_layer = TRUE)
+    path_vector <- path_vector_reproj
+  } else {
+    path_vector <- path_vector_init
+  }
+  return(path_vector)
+}
+
+
+#" perform atmospheric corrections to convert L1C to L2A data with Sen2cor
+#"
+#" @param prodname character. produced with sen2r::s2_list
+#" @param l1c_path character. path of directory where L1C image is stored
+#" @param l2a_path character. path of directory where L2A image is stored
+#" @param datepattern character. pattern corresponding to date of acquisition to identify L2A directory
+#" @param tmp_path character. path of temporary directory where L2A image is stored
+#" sen2r configured as an alternative hub for S2 download
+#"
+#" @return pathl2a character. S2 Product name
+#" @importFrom sen2r safe_is_online s2_list s2_download s2_order
+#" @importFrom R.utils getAbsolutePath
+#"
+#" @export
+s2_from_l1c_to_l2a <- function(prodname, l1c_path, l2a_path, datepattern, tmp_path = NULL) {
+
+  # define path for tmp directory
+  if (is.null(tmp_path)) {
+    tmp_path <- tempdir(check = TRUE)
+  }
+  tmp_prodlist <- prodname
+  # perform Sen2Cor atmospheric corrections
+  binpath <- sen2r::load_binpaths()
+  # 2- open a command prompt and directly run sen2cor with following command line
+  cmd <- paste(binpath$sen2cor,
+               "--output_dir", R.utils::getAbsolutePath(l2a_path),
+               R.utils::getAbsolutePath(file.path(l1c_path, prodname)), sep = " ")
+  system(cmd)
+  pathl2a <- list.files(path = l2a_path, pattern = datepattern, full.names = TRUE)
+
+  return(pathl2a)
+}
+
+#" This function saves cloud masks.
+#" "cloudMask_Binary" is default binary mask with 0 where clouds are detected and 1 for clean pixels
+#" "cloudMask_RAW" is the original cloud layer produced by atmospheric correction algorithm
+#" --> may be useful to refine cloud mask
+#"
+#" @param s2_stars list. stars object containing raster data. Can be produced with function extract_from_s2_l2a
+#" @param cloud_path character.
+#" @param s2source character.
+#" @param footprint character. path for vector file defining footprint of interest in the image
+#" @param saveraw boolean. should the original cloud mask layer be saved?
+#" @param maxchunk numeric. Size of individual chunks to be written (in Mb)
+#"
+#" @return list of cloudmasks (binary mask, and raw mask if required)
+#" @importFrom sf st_read
+#" @importFrom stars write_stars
+#" @importFrom raster raster
+#" @export
+save_cloud_s2 <- function(s2_stars, cloud_path, s2source = "SAFE",
+                          footprint = NULL, saveraw = FALSE, maxchunk = 256) {
+
+  whichcloud <- which(names(s2_stars$attr) == "Cloud")
+  # Save cloud mask
+  if (saveraw == TRUE) {
+    cloudraw <- file.path(cloud_path, "CloudMask_RAW")
+    obj <- stars::read_stars(s2_stars$attr[whichcloud], proxy = TRUE)
+    sizeobj <- dim(obj)[1] * dim(obj)[2] / (1024**2)
+    nbchunks <- ceiling(sizeobj / maxchunk)
+    stars::write_stars(obj,
+                       dsn = cloudraw,
+                       driver =  "ENVI",
+                       type = "Byte",
+                       chunk_size = c(dim(obj)[1], dim(obj)[2] / nbchunks),
+                       progress = TRUE)
+  } else {
+    cloudraw <- NULL
+  }
+  # Save cloud mask as in biodivMapR (0 = clouds, 1 = pixel ok)
+  cloudmask <- stars::read_stars(s2_stars$attr[whichcloud], proxy = FALSE)
+  if (s2source == "SAFE" || s2source == "THEIA") {
+    cloudy <- which(cloudmask[[1]] > 0)
+    sunny <- which(cloudmask[[1]] == 0)
+  } else if (s2source == "LaSRC") {
+    cloudy <- which(is.na(cloudmask[[1]]))
+    sunny <- which(cloudmask[[1]] == 1)
+  }
+
+  cloudmask[[1]][cloudy] <- 0
+  cloudmask[[1]][sunny] <- 1
+  cloudbin <- file.path(cloud_path, "CloudMask_Binary")
+  stars::write_stars(cloudmask, dsn = cloudbin, driver =  "ENVI", type = "Byte", overwrite = TRUE)
+  cloudmasks <- list("BinaryMask" = cloudbin, "RawMask" = cloudraw)
+  # delete temporary file
+  file.remove(s2_stars$attr[whichcloud])
+  if (file.exists(paste(s2_stars$attr[whichcloud], ".hdr", sep = ""))) file.remove(paste(s2_stars$attr[whichcloud], ".hdr", sep = ""))
+  gc()
+  return(cloudmasks)
+}
+
+#" This function saves reflectance files
+#"
+#" @param s2_stars list. stars object containing raster data. Can be produced with function extract_from_s2_l2a
+#" @param refl_path character. path for reflectance file to be stored
+#" @param format character. file format for reflectance data
+#" @param datatype character. data type (integer, float, 16bits, 32bits...)
+#" @param s2sat character. Sentinel-2 mission ("2A" or "2B")
+#" @param tile_s2 character. S2 tile name (2 numbers + 3 letters)
+#" @param dateacq_s2 double. date of acquisition
+#" @param MTD character. path for metadata file
+#" @param MTD_MSI character. path for metadata MSI file
+#" @param mtd_lasrc character. path for metadata LaSRC file
+#" @param maxchunk numeric. Size of individual chunks to be written (in Mb)
+#"
+#" @return None
+#" @importFrom stars write_stars st_apply
+#" @importFrom XML xml
+#" @export
+save_reflectance_s2 <- function(s2_stars, refl_path, format = "ENVI", datatype = "Int16",
+                                s2sat = NULL, tile_s2 = NULL, dateacq_s2 = NULL,
+                                mtd = NULL, mtd_msi = NULL, mtd_lasrc = NULL,
+                                maxchunk = 256) {
+  # identify if S2A or S2B, if possible
+  s2mission <- check_s2mission(s2sat = s2sat, tile_s2 = tile_s2, dateacq_s2 = dateacq_s2)
+
+  # define central wavelength corresponding to each spectral band
+  if (s2mission == "2A") {
+    wl_s2 <- list("B02" = 496.6, "B03" = 560.0, "B04" = 664.5,
+                  "B05" = 703.9, "B06" = 740.2, "B07" = 782.5, "B08" = 835.1,
+                  "B8A" = 864.8, "B11" = 1613.7, "B12" = 2202.4)
+  } else if (s2mission == "2B") {
+    wl_s2 <- list("B02" = 492.1, "B03" = 559.0, "B04" = 665.0,
+                  "B05" = 703.8, "B06" = 739.1, "B07" = 779.7, "B08" = 833.0,
+                  "B8A" = 864.0, "B11" = 1610.4, "B12" = 2185.7)
+  }
+  if (s2mission == "2A") {
+    sensor <- "Sentinel_2A"
+  } else if (s2mission == "2B") {
+    sensor <- "Sentinel_2B"
+  }
+
+  # apply offset when necessary
+  listbands_bis <- c("B2", "B3", "B4", "B5", "B6", "B7", "B8", "B8A", "B11", "B12")
+  if (!is.null(mtd_msi) && is.null(mtd_lasrc)) {
+    # read XML file containing info about geometry of acquisition
+    s2xml <- XML::xmlToList(mtd_msi)
+    xml_offset <- s2xml$General_Info$Product_Image_Characteristics$BOA_ADD_offset_VALUES_LIST
+    bands <- lapply(s2xml$General_Info$Product_Image_Characteristics$Spectral_Information_List, "[[", 4)
+    if (!is.null(xml_offset) && !is.null(bands)) {
+      bandid  <- lapply(bands, "[[", 1)
+      bandname  <- lapply(bands, "[[", 2)
+      offset <- data.frame("bandname" = unlist(bandname),
+                           "bandid" = unlist(bandid),
+                           "offset" = unlist(lapply(xml_offset, "[[", 1)))
+      selbands <- match(listbands_bis, offset$bandname)
+      offset <- offset[selbands, ]
+      boa_quantval <- as.numeric(s2xml$General_Info$Product_Image_Characteristics$QUANTIFICATION_VALUES_LIST$BOA_QUANTIFICATION_VALUE[1])
+    } else {
+      offset <- data.frame("bandname" = listbands_bis,
+                           "bandid" = c(1, 2, 3, 4, 5, 6, 7, 8, 11, 12),
+                           "offset" = 0)
+      boa_quantval <- 10000
+    }
+  } else if (!is.null(mtd_lasrc)) {
+    # read XML file containing info about geometry of acquisition
+    s2xml <- XML::xmlToList(mtd_lasrc)
+    attributes_lasrc <- s2xml$bands[[14]]$.attrs
+    attributes_lasrc_df <- data.frame(attributes_lasrc)
+    if (match("add_offset", rownames(attributes_lasrc_df)) > 0 && match("scale_factor", rownames(attributes_lasrc_df)) > 0) {
+      xml_offset <- as.numeric(attributes_lasrc[["add_offset"]])
+      boa_quantval <- 1 / as.numeric(attributes_lasrc[["scale_factor"]])
+      offset <- data.frame("bandname" = listbands_bis,
+                           "bandid" = c(1, 2, 3, 4, 5, 6, 7, 8, 11, 12),
+                           "offset" = xml_offset)
+    } else {
+      offset <- data.frame("bandname" = listbands_bis,
+                           "bandid" = c(1, 2, 3, 4, 5, 6, 7, 8, 11, 12),
+                           "offset" = 0)
+      boa_quantval <- 10000
+    }
+  } else {
+    offset <- data.frame("bandname" = listbands_bis,
+                         "bandid" = c(1, 2, 3, 4, 5, 6, 7, 8, 11, 12),
+                         "offset" = 0)
+    boa_quantval <- 10000
+  }
+
+  # identify where spectral bands are in the stars object
+  stars_spectral <- list()
+  starsnames <- names(s2_stars$attr)
+  stars_spectral$bandname <- starsnames[which(!starsnames == "Cloud")]
+  stars_spectral$wavelength <- wl_s2[stars_spectral$bandname]
+
+  sortedwl <- names(wl_s2)
+  reorder <- match(sortedwl, stars_spectral$bandname)
+  elim <- which(is.na(reorder))
+  if (length(elim) > 0) {
+    reorder <- reorder[-elim]
+  }
+  pathr <- s2_stars$attr[reorder]
+
+  names(pathr) <- NULL
+  s2_stars2 <- stars::read_stars(pathr, along = "band", proxy = TRUE)
+  stars_spectral$bandname <- stars_spectral$bandname[reorder]
+  stars_spectral$wavelength <- stars_spectral$wavelength[reorder]
+
+  uniqueoffset <- as.numeric(unique(offset$offset))
+  if (length(uniqueoffset) > 1) {
+    message("Warning: BOA offset differs between bands.")
+    message("offset will not be applied to the final S2 reflectance raster")
+    message("check metadata file to identify the offset applied on each band")
+    print(mtd_msi)
+  } else {
+    message("applying offset to reflectance data")
+    if (is.null(mtd_lasrc) || uniqueoffset == 0) {
+      offsets2 <- function(x) (round(x + uniqueoffset) * (10000 / boa_quantval))
+      s2_stars2 <- stars::st_apply(X = s2_stars2, MARGIN = "band", FUN = offsets2)
+    } else {
+      offsets2 <- function(x) (round(10000 * ((x + uniqueoffset * boa_quantval) / boa_quantval)))
+      s2_stars2 <- stars::st_apply(X = s2_stars2, MARGIN = "band", FUN = offsets2)
+    }
+  }
+  write_stack_s2(stars_s2 = s2_stars2, stars_spectral = stars_spectral, refl_path = refl_path,
+                 format = format, datatype = datatype, sensor = sensor, maxchunk = maxchunk)
+  # save metadata file as well if available
+  if (!is.null(mtd)) {
+    if (file.exists(mtd)) {
+      file.copy(from = mtd, to = file.path(dirname(refl_path), basename(mtd)), overwrite = TRUE)
+    }
+  }
+  # save metadata file as well if available
+  if (!is.null(mtd_msi)) {
+    if (file.exists(mtd_msi)) {
+      file.copy(from = mtd_msi, to = file.path(dirname(refl_path), basename(mtd_msi)), overwrite = TRUE)
+    }
+  }
+  # save LaSRC metadata file as well if available
+  if (!is.null(mtd_lasrc)) {
+    if (file.exists(mtd_lasrc)) {
+      file.copy(from = mtd_lasrc, to = file.path(dirname(refl_path), basename(mtd_lasrc)), overwrite = TRUE)
+    }
+  }
+  # delete temporary file
+  for (pathtemp in pathr) {
+    file.remove(pathtemp)
+    if (file.exists(paste(pathtemp, ".hdr", sep = ""))) file.remove(paste(pathtemp, ".hdr", sep = ""))
+  }
+  gc()
+  return(invisible())
+}
+
+#" ENVI functions
+#"
+#" based on https://github.com/cran/hyperSpec/blob/master/R/read.ENVI.R
+#" added wavelength, fwhm, ... to header reading
+#" Title
+#"
+#" @param x character.
+#" @param separator character
+#" @param trim_blank boolean.
+#"
+#" @return list.
+#" @export
+split_line <- function(x, separator, trim_blank = TRUE) {
+  tmp <- regexpr(separator, x)
+  key <- substr(x, 1, tmp - 1)
+  value <- substr(x, tmp + 1, nchar(x))
+  if (trim_blank) {
+    blank_pattern <- "^[[:blank:]]*([^[:blank:]]+.*[^[:blank:]]+)[[:blank:]]*$"
+    key <- sub(blank_pattern, "\\1", key)
+    value <- sub(blank_pattern, "\\1", value)
+  }
+  value <- as.list(value)
+  names(value) <- key
+  return(value)
+}
+
+#" save raster footprint as vector file
+#"
+#" @param path_raster character. path for a raster file
+#" @param path_vector character. path for a vector file
+#" @param driver character. driver for vector
+#"
+#" @return None
+#" @importFrom raster raster extent projection
+#" @importFrom sf st_as_sf st_write
+#" @export
+vectorize_raster_extent <- function(path_raster, path_vector, driver = "ESRI Shapefile") {
+  rast <- raster(path_raster)
+  e <- extent(rast)
+  # coerce to a SpatialPolygons object
+  p <- as(e, "SpatialPolygons")
+  projection(p) <- projection(rast)
+  p <- sf::st_as_sf(p)
+  sf::st_write(obj = p, path_vector, driver = driver)  # create to a shapefile
+  return(invisible())
+}
+
+#" writes ENVI hdr file
+#"
+#" @param hdr content to be written
+#" @param hdrpath Path of the hdr file
+#"
+#" @return None
+#" @importFrom stringr str_count
+#" @export
+write_envi_header <- function(hdr, hdrpath) {
+  h <- lapply(hdr, function(x) {
+    if (length(x) > 1 || (is.character(x) && stringr::str_count(x, "\\w+") > 1)) {
+      x <- paste0("{", paste(x, collapse = ", "), "}")
+    }
+    # convert last numerics
+    x <- as.character(x)
+  })
+  writeLines(c("ENVI", paste(names(hdr), h, sep = " = ")), con = hdrpath)
+  return(invisible())
+}
+
+#" This function writes a raster Stack object into a ENVI raster file
+#"
+#" @param stackobj list. raster stack
+#" @param stackpath character. path where to store the stack
+#" @param bands list. should include "bandname", and if possible "wavelength"
+#" @param datatype character. should be INT2S or FLT4S for example
+#" @param sensor character. Name of the sensor used to acquire the image
+#" @param stretch boolean. Set TRUE to get 10% stretching at display for reflectance, mentioned in hdr only
+#"
+#" @return None
+#" @importFrom utils read.table
+#" @export
+write_rasterstack_envi <- function(stackobj, stackpath, bands, datatype = "INT2S",
+                                   sensor = "Unknown", stretch = FALSE) {
+
+  r <- raster::writeRaster(x = stackobj, filename = stackpath, format = "Ehdr", overwrite = TRUE, datatype = datatype)
+  raster::hdr(r, format = "ENVI")
+  # Edit hdr file to add metadata
+  hdr <- read_envi_header(get_hdr_name(stackpath))
+  hdr$`band names` <- bands$bandname
+  if (length(bands$wavelength) == length(bands$bandname)) {
+    hdr$wavelength <- bands$wavelength
+  } else {
+    hdr$wavelength <- NULL
+  }
+  if (stretch == TRUE) {
+    hdr$`default stretch` <- "0.000000 1000.000000 linear"
+  }
+  hdr$`z plot range` <- NULL
+  hdr$`data ignore value` <- "-Inf"
+  hdr$`coordinate system string` <- read.table(paste(stackpath, ".prj", sep = ""))
+  proj <- strsplit(x = strsplit(x = projection(stackobj), split = " ")[[1]][1], split = "=")[[1]][2]
+  zone <- strsplit(x = strsplit(x = projection(stackobj), split = " ")[[1]][2], split = "=")[[1]][2]
+  datum <- strsplit(x = strsplit(x = projection(stackobj), split = " ")[[1]][3], split = "=")[[1]][2]
+  oldproj <- hdr$`map info`
+  newproj <- gsub(pattern = "projection", replacement = proj, x = oldproj)
+  newproj <- paste(newproj, zone, datum, sep = ", ")
+  hdr$`map info` <- newproj
+  hdr$`sensor type` <- sensor
+  write_envi_header(hdr = hdr, hdrpath = get_hdr_name(stackpath))
+
+  # remove unnecessary files
+  file2remove <- paste(stackpath, ".aux.xml", sep = "")
+  file.remove(file2remove)
+  file2remove <- paste(stackpath, ".prj", sep = "")
+  file.remove(file2remove)
+  file2remove <- paste(stackpath, ".stx", sep = "")
+  file.remove(file2remove)
+  return(invisible())
+}
+
+
+#" This function writes a stars object into a raster file
+#"
+#" @param stars_s2 list. stars object containing raster data. Can be produced with function Crop_n_resample_S2
+#" @param stars_spectral list. band name to be saved in the stack and spectral bands corresponding to the image
+#" @param refl_path character. path where to store the image
+#" @param format character. default = ENVI BSQ. otherwise use gdal drivers
+#" @param datatype character. should be Int16 or Float64 for example
+#" @param sensor character. Name of the sensor used to acquire the image
+#" @param maxchunk numeric. Size of individual chunks to be written (in Mb)
+#"
+#" @return None
+#" @export
+write_stack_s2 <- function(stars_s2, stars_spectral, refl_path, format = "ENVI",
+                           datatype = "Int16", sensor = "Unknown", maxchunk = 256) {
+
+  # write raster file from proxy using chunks
+  sizeobj <- 2 * dim(stars_s2)[1] * dim(stars_s2)[2] * dim(stars_s2)[3] / (1024**2)
+  nbchunks <- ceiling(sizeobj / maxchunk)
+  stars::write_stars(obj = stars_s2,
+                     dsn = refl_path,
+                     driver =  format,
+                     type = datatype,
+                     chunk_size = c(dim(stars_s2)[1], ceiling(dim(stars_s2)[2] / nbchunks)),
+                     progress = TRUE)
+
+  if (format == "ENVI") {
+    adjust_envi_hdr(dsn = refl_path, bands = stars_spectral,
+                    sensor = sensor, stretch = TRUE)
+  }
+  return(invisible())
+}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/alpha_beta.r	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,142 @@
+#Rscript
+
+###########################################
+##    Mapping alpha and beta diversity   ##
+###########################################
+
+#####Packages : stars
+#               utils
+#               biodivmapr
+#               raster
+#               sf
+#               mapview
+#               leafpop
+#               RColorBrewer
+#               labdsv
+#               rgdal
+#               ggplot2
+#               gridExtra
+
+#####Load arguments
+
+args <- commandArgs(trailingOnly = TRUE)
+
+#####Import the S2 data
+
+if (length(args) < 1) {
+    stop("This tool needs at least 1 argument")
+}else {
+    data_raster <- args[1]
+    rasterheader <- args[2]
+    data <- args[3]
+    # type of PCA:
+    # PCA: no rescaling of the data
+    # SPCA: rescaling of the data
+    typepca <- as.character(args[4])
+    alpha <- as.logical(args[5])
+    beta <- as.logical(args[6])
+    funct <- as.logical(args[7])
+    all <- as.logical(args[8])
+    nbcpu <- as.integer(args[9])
+    source(args[10])
+}
+
+################################################################################
+##              DEFINE PARAMETERS FOR DATASET TO BE PROCESSED                 ##
+################################################################################
+if (data_raster == "") {
+  #Create a directory where to unzip your folder of data
+  dir.create("data_dir")
+  unzip(data, exdir = "data_dir")
+  # Path to raster
+  data_raster <- list.files("data_dir/results/Reflectance", pattern = "_Refl")
+  input_image_file <- file.path("data_dir/results/Reflectance", data_raster[1])
+  input_header_file <- file.path("data_dir/results/Reflectance", data_raster[2])
+
+} else {
+  input_image_file <- file.path(getwd(), data_raster, fsep = "/")
+  input_header_file <- file.path(getwd(), rasterheader, fsep = "/")
+}
+
+################################################################################
+##                              PROCESS IMAGE                                 ##
+################################################################################
+# 1- Filter data in order to discard non vegetated / shaded / cloudy pixels
+
+print("PERFORM PCA ON RASTER")
+pca_output <- biodivMapR::perform_PCA(Input_Image_File = input_image_file, Input_Mask_File = input_mask_file,
+                          Output_Dir = output_dir, TypePCA = typepca, FilterPCA = filterpca, nbCPU = nbcpu, MaxRAM = maxram)
+
+pca_files <- pca_output$PCA_Files
+pix_per_partition <- pca_output$Pix_Per_Partition
+nb_partitions <- pca_output$nb_partitions
+# path for the updated mask
+input_mask_file <- pca_output$MaskPath
+
+
+selected_pcs <- seq(1, dim(raster::stack(input_image_file))[3])
+
+selected_pcs <- all(selected_pcs)
+################################################################################
+##                      MAP ALPHA AND BETA DIVERSITY                          ##
+################################################################################
+print("MAP SPECTRAL SPECIES")
+
+kmeans_info <- biodivMapR::map_spectral_species(Input_Image_File = input_image_file, Output_Dir = output_dir, PCA_Files = pca_files, Input_Mask_File = input_mask_file, SelectedPCs = selected_pcs, Pix_Per_Partition = pix_per_partition, nb_partitions = nb_partitions, TypePCA = typepca, nbCPU = nbcpu, MaxRAM = maxram, nbclusters = nbclusters)
+
+image_name <- tools::file_path_sans_ext(basename(input_image_file))
+if (alpha == TRUE || beta == TRUE || all == TRUE) {
+## alpha
+  print("MAP ALPHA DIVERSITY")
+  index_alpha <- c("Shannon")
+  alpha_div <- biodivMapR::map_alpha_div(Input_Image_File = input_image_file, Output_Dir = output_dir, TypePCA = typepca, window_size = window_size, nbCPU = nbcpu, MaxRAM = maxram, Index_Alpha = index_alpha, nbclusters = nbclusters, FullRes = TRUE, LowRes = FALSE, MapSTD = FALSE)
+
+  alpha_zip <- file.path(output_dir, image_name, typepca, "ALPHA", "Shannon_10_Fullres.zip")
+  alpha_path <- file.path(output_dir, image_name, typepca, "ALPHA")
+  unzip(alpha_zip, exdir = alpha_path)
+  alpha_path <- file.path(output_dir, image_name, typepca, "ALPHA", "Shannon_10_Fullres")
+  alpha_raster <- raster::raster(alpha_path)
+  get_alpha <- convert_raster(alpha_raster)
+
+ if (alpha == TRUE || all == TRUE) {
+   colnames(get_alpha) <- c("Alpha", "longitude", "latitude")
+   plot_indices(get_alpha, titre = "Alpha")
+
+   write.table(get_alpha, file = "alpha.tabular", sep = "\t", dec = ".", na = " ", row.names = FALSE, col.names = TRUE, quote = FALSE)
+}
+  if (beta == TRUE || all == TRUE) {
+## beta
+  print("MAP BETA DIVERSITY")
+  beta_div <- biodivMapR::map_beta_div(Input_Image_File = input_image_file, Output_Dir = output_dir, TypePCA = typepca, window_size = window_size, nb_partitions = nb_partitions, nbCPU = nbcpu, MaxRAM = maxram, nbclusters = nbclusters)
+
+  beta_path <- file.path(output_dir, image_name, typepca, "BETA", "BetaDiversity_BCdiss_PCO_10")
+  beta_raster <- raster::raster(beta_path)
+  get_beta <- convert_raster(beta_raster)
+
+  colnames(get_beta) <- c("Beta", "longitude", "latitude")
+  plot_indices(get_beta, titre = "Beta")
+
+  write.table(get_beta, file = "beta.tabular", sep = "\t", dec = ".", na = " ", row.names = FALSE, col.names = TRUE, quote = FALSE)
+  }
+}
+
+
+################################################################################
+##          COMPUTE ALPHA AND BETA DIVERSITY FROM FIELD PLOTS                 ##
+################################################################################
+
+if (funct == TRUE || all == TRUE) {
+  mapper <- biodivMapR::map_functional_div(Original_Image_File = input_image_file, Functional_File = pca_files,  Selected_Features = selected_pcs, Output_Dir = output_dir, window_size = window_size, nbCPU = nbcpu, MaxRAM = maxram, TypePCA = typepca, FullRes = TRUE, LowRes = FALSE, MapSTD = FALSE)
+
+  funct_zip <- file.path(output_dir, image_name, typepca, "FUNCTIONAL", "FunctionalDiversity_Map_MeanFilter_Fullres.zip")
+  funct_path <- file.path(output_dir, image_name, typepca, "FUNCTIONAL")
+  unzip(funct_zip, exdir = funct_path)
+  funct_path <- file.path(output_dir, image_name, typepca, "FUNCTIONAL", "FunctionalDiversity_Map_MeanFilter_Fullres")
+  funct_raster <- raster::raster(funct_path)
+  get_funct <- convert_raster(funct_raster)
+
+  colnames(get_funct) <- c("Functionnal", "longitude", "latitude")
+  plot_indices(get_funct, titre = "Functionnal")
+
+  write.table(get_funct, file = "Functionnal.tabular", sep = "\t", dec = ".", na = " ", row.names = FALSE, col.names = TRUE, quote = FALSE)
+}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/biodiv_indices_global.r	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,112 @@
+#Rscript
+
+###########################################
+##    Mapping  biodiversity indicators   ##
+###########################################
+
+#####Packages :  raster,
+#                rgdal,
+#                sp,
+#                rasterdiv,
+#                ggplot2,
+
+#####Load arguments
+
+args <- commandArgs(trailingOnly = TRUE)
+
+#####Import the S2 data
+
+if (length(args) < 1) {
+    stop("This tool needs at least 1 argument")
+}else {
+    data_raster <- args[1]
+    data_header <- args[2]
+    data <- args[3]
+    alpha <- as.numeric(args[4])
+    source(args[5])
+
+}
+
+########################################################################
+##                   COMPUTE BIODIVERSITY INDICES                     ##
+########################################################################
+
+if (data_raster == "") {
+  #Create a directory where to unzip your folder of data
+  dir.create("data_dir")
+  unzip(data, exdir = "data_dir")
+  # Path to raster
+  data_raster <- list.files("data_dir/results/Reflectance", pattern = "_Refl")
+  data_raster <- file.path("data_dir/results/Reflectance", data_raster[1])
+}
+
+# Read raster
+copndvi <- raster::raster(data_raster)
+
+copndvilr <- raster::reclassify(copndvi, cbind(252, 255, NA), right = TRUE)
+
+#Resample using raster::aggregate and a linear factor of 10
+copndvilr <- raster::aggregate(copndvilr, fact = 20)
+#Set float numbers as integers to further speed up the calculation
+storage.mode(copndvilr[]) <- "integer"
+
+# Convert raster to SpatialPointsDataFrame
+r_pts <- convert_raster(copndvilr)
+
+#Shannon's Diversity
+sha <- rasterdiv::Shannon(copndvilr, window = 9, np = 1)
+sha_df <- data.frame(raster::rasterToPoints(sha, spatial = TRUE))
+sha_name <- "Shannon"
+r_pts[, sha_name] <- sha_df[, 1]
+
+#Renyi's Index
+ren <- rasterdiv::Renyi(copndvilr, window = 9, alpha = alpha, np = 1)
+ren_df <- data.frame(raster::rasterToPoints(ren[[1]]))
+ren_name <- "Renyi"
+r_pts[, ren_name] <- ren_df[, 3]
+
+#Berger-Parker's Index
+ber <- rasterdiv::BergerParker(copndvilr, window = 9, np = 1)
+ber_df <- data.frame(raster::rasterToPoints(ber, spatial = TRUE))
+ber_name <- "Berger-Parker"
+r_pts[, ber_name] <- ber_df[, 1]
+
+#Pielou's Evenness
+pie <- rasterdiv::Pielou(copndvilr, window = 9, np = 1)
+pie_df <- data.frame(raster::rasterToPoints(pie))
+if (length(pie_df[, 1]) == length(r_pts[, 1])) {
+  pie_name <- "Pielou"
+  r_pts[, pie_name] <- pie_df[, 1]
+}
+
+#Hill's numbers
+hil <- rasterdiv::Hill(copndvilr, window = 9, alpha = alpha, np = 1)
+hil_df <- data.frame(raster::rasterToPoints(hil[[1]]))
+hil_name <- "Hill"
+r_pts[, hil_name] <- hil_df[, 3]
+
+#Parametric Rao's quadratic entropy with alpha ranging from 1 to 5
+prao <- rasterdiv::paRao(copndvilr, window = 9, alpha = alpha, dist_m = "euclidean", np = 1)
+prao_df <- data.frame(raster::rasterToPoints(prao$window.9[[1]]))
+prao_name <- "Prao"
+r_pts[, prao_name] <- prao_df[, 3]
+
+#Cumulative Residual Entropy
+cre <- rasterdiv::CRE(copndvilr, window = 9, np = 1)
+cre_df <- data.frame(raster::rasterToPoints(cre))
+if (length(cre_df[, 1]) == length(r_pts[, 1])) {
+  cre_name <- "CRE"
+  r_pts[, cre_name] <- cre_df[, 1]
+}
+
+if (length(cre_df[, 1]) == length(r_pts[, 1]) || length(pie_df[, 1]) == length(r_pts[, 1])) {
+list_indice <- list("Shannon", "Renyi", "Berger-Parker", "Pielou", "Hill", "Prao", "CRE")
+} else {
+list_indice <- list("Shannon", "Renyi", "Berger-Parker", "Hill", "Prao")
+}
+## Plotting all the graph and writing a tabular
+for (indice in list_indice) {
+  plot_indices(data = r_pts, titre = indice)
+}
+
+write.table(r_pts, file = "BiodivIndex.tabular", sep = "\t", dec = ".", na = " ", row.names = FALSE, col.names = TRUE, quote = FALSE)
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/comparison_div.r	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,190 @@
+#Rscript
+
+###########################################
+##    Mapping alpha and beta diversity   ##
+###########################################
+
+#####Packages : stars
+#               utils
+#               biodivmapr
+#               raster
+#               sf
+#               mapview
+#               leafpop
+#               RColorBrewer
+#               labdsv
+#               rgdal
+#               ggplot2
+#               gridExtra
+##remotes::install_github("jbferet/biodivMapR")
+#####Load arguments
+
+args <- commandArgs(trailingOnly = TRUE)
+
+#####Import the S2 data
+
+if (length(args) < 1) {
+    stop("This tool needs at least 1 argument")
+}else {
+    data_raster <- args[1]
+    rasterheader <- args[2]
+    data <- args[3]
+    plots_zip <- args[4]
+    choice <- as.character(args[5])
+    source(args[6])
+    # type of PCA:
+    # PCA: no rescaling of the data
+    # SPCA: rescaling of the data
+    typepca <- as.character(args[7])
+}
+
+################################################################################
+##              DEFINE PARAMETERS FOR DATASET TO BE PROCESSED                 ##
+################################################################################
+if (data_raster == "") {
+  #Create a directory where to unzip your folder of data
+  dir.create("data_dir")
+  unzip(data, exdir = "data_dir")
+  # Path to raster
+  data_raster <- list.files("data_dir/results/Reflectance", pattern = "_Refl")
+  input_image_file <- file.path("data_dir/results/Reflectance", data_raster[1])
+  input_header_file <- file.path("data_dir/results/Reflectance", data_raster[2])
+
+} else {
+  input_image_file <- file.path(getwd(), data_raster, fsep = "/")
+  input_header_file <- file.path(getwd(), rasterheader, fsep = "/")
+}
+
+################################################################################
+##                              PROCESS IMAGE                                 ##
+################################################################################
+# 1- Filter data in order to discard non vegetated / shaded / cloudy pixels
+
+print("PERFORM PCA ON RASTER")
+pca_output <- biodivMapR::perform_PCA(Input_Image_File = input_image_file, Input_Mask_File = input_mask_file,
+                          Output_Dir = output_dir, TypePCA = typepca, FilterPCA = filterpca, nbCPU = nbcpu, MaxRAM = maxram)
+
+pca_files <- pca_output$PCA_Files
+pix_per_partition <- pca_output$Pix_Per_Partition
+nb_partitions <- pca_output$nb_partitions
+# path for the updated mask
+input_mask_file <- pca_output$MaskPath
+
+# 3- Select principal components from the PCA raster
+# Select components from the PCA/SPCA/MNF raster
+sel_compo <- c("1\n", "2\n", "3\n", "4\n", "5\n", "6\n", "7\n", "8")
+image_name <- tools::file_path_sans_ext(basename(input_image_file))
+output_dir_full <- file.path(output_dir, image_name, typepca, "PCA")
+
+write.table(sel_compo, paste0(output_dir_full, "/Selected_Components.txt"))
+sel_pc <-  file.path(output_dir_full, "Selected_Components.txt")
+
+
+################################################################################
+##                      MAP ALPHA AND BETA DIVERSITY                          ##
+################################################################################
+print("MAP SPECTRAL SPECIES")
+
+kmeans_info <- biodivMapR::map_spectral_species(Input_Image_File = input_image_file, Output_Dir = output_dir, PCA_Files = pca_files, Input_Mask_File = input_mask_file, Pix_Per_Partition = pix_per_partition, nb_partitions = nb_partitions, nbCPU = nbcpu, MaxRAM = maxram, nbclusters = nbclusters, TypePCA = typepca)
+
+################################################################################
+##          COMPUTE ALPHA AND BETA DIVERSITY FROM FIELD PLOTS                 ##
+################################################################################
+## read selected features from dimensionality reduction
+
+## path for selected components
+
+# location of the directory where shapefiles used for validation are saved
+dir.create("VectorDir")
+unzip(plots_zip, exdir = "VectorDir")
+
+# list vector data
+path_vector <- biodivMapR::list_shp("VectorDir")
+name_vector <- tools::file_path_sans_ext(basename(path_vector))
+
+# location of the spectral species raster needed for validation
+path_spectralspecies <- kmeans_info$SpectralSpecies
+# get diversity indicators corresponding to shapefiles (no partitioning of spectral dibversity based on field plots so far...)
+biodiv_indicators <- biodivMapR::diversity_from_plots(Raster_SpectralSpecies = path_spectralspecies, Plots = path_vector, nbclusters = nbclusters, Raster_Functional = pca_files, Selected_Features = FALSE)
+
+shannon_rs <- c(biodiv_indicators$Shannon)[[1]]
+fric <- c(biodiv_indicators$FunctionalDiversity$FRic)
+feve <- c(biodiv_indicators$FunctionalDiversity$FEve)
+fdiv <- c(biodiv_indicators$FunctionalDiversity$FDiv)
+# if no name for plots
+biodiv_indicators$Name_Plot <- seq(1, length(biodiv_indicators$Shannon[[1]]), by = 1)
+
+
+####################################################
+# write RS indicators                              #
+####################################################
+# write a table for Shannon index
+
+# write a table for all spectral diversity indices corresponding to alpha diversity
+results <- data.frame(name_vector, biodiv_indicators$Richness, biodiv_indicators$Fisher,
+                      biodiv_indicators$Shannon, biodiv_indicators$Simpson,
+                      biodiv_indicators$FunctionalDiversity$FRic,
+                      biodiv_indicators$FunctionalDiversity$FEve,
+                      biodiv_indicators$FunctionalDiversity$FDiv)
+
+names(results) <- c("ID_Plot", "Species_Richness", "Fisher", "Shannon", "Simpson", "fric", "feve", "fdiv")
+write.table(results, file = "Diversity.tabular", sep = "\t", dec = ".", na = " ", row.names = FALSE, col.names = TRUE, quote = FALSE)
+
+if (choice == "Y") {
+# write a table for Bray Curtis dissimilarity
+bc_mean <- biodiv_indicators$BCdiss
+bray_curtis <- data.frame(name_vector, bc_mean)
+colnames(bray_curtis) <- c("ID_Plot", bray_curtis[, 1])
+write.table(bray_curtis, file = "BrayCurtis.tabular", sep = "\t", dec = ".", na = " ", row.names = FALSE, col.names = TRUE, quote = FALSE)
+
+####################################################
+# illustrate results
+####################################################
+# apply ordination using PCoA (same as done for map_beta_div)
+
+mat_bc_dist <- as.dist(bc_mean, diag = FALSE, upper = FALSE)
+betapco <- labdsv::pco(mat_bc_dist, k = 3)
+
+# assign a type of vegetation to each plot, assuming that the type of vegetation
+# is defined by the name of the shapefile
+
+nbsamples <- shpname <- c()
+for (i in 1:length(path_vector)) {
+  shp <- path_vector[i]
+  nbsamples[i] <- length(rgdal::readOGR(shp, verbose = FALSE))
+  shpname[i] <- tools::file_path_sans_ext(basename(shp))
+}
+
+type_vegetation <- c()
+for (i in 1: length(nbsamples)) {
+  for (j in 1:nbsamples[i]) {
+    type_vegetation <- c(type_vegetation, shpname[i])
+  }
+}
+
+#data frame including a selection of alpha diversity metrics and beta diversity expressed as coordinates in the PCoA space
+results <- data.frame("vgtype" = type_vegetation, "pco1" = betapco$points[, 1], "pco2" = betapco$points[, 2], "pco3" = betapco$points[, 3], "shannon" = shannon_rs, "fric" = fric, "feve" = feve, "fdiv" = fdiv)
+
+#plot field data in the PCoA space, with size corresponding to shannon index
+g1 <- ggplot2::ggplot(results, ggplot2::aes(x = pco1, y = pco2, color = vgtype, size = shannon)) + ggplot2::geom_point(alpha = 0.6) + ggplot2::scale_color_manual(values = c("#e6140a", "#e6d214", "#e68214", "#145ae6"))
+
+g2 <- ggplot2::ggplot(results, ggplot2::aes(x = pco1, y = pco3, color = vgtype, size = shannon)) + ggplot2::geom_point(alpha = 0.6) + ggplot2::scale_color_manual(values = c("#e6140a", "#e6d214", "#e68214", "#145ae6"))
+
+g3 <- ggplot2::ggplot(results, ggplot2::aes(x = pco2, y = pco3, color = vgtype, size = shannon)) + ggplot2::geom_point(alpha = 0.6) + ggplot2::scale_color_manual(values = c("#e6140a", "#e6d214", "#e68214", "#145ae6"))
+
+#extract legend
+get_legend <- function(a_gplot) {
+    tmp <- ggplot2::ggplot_gtable(ggplot2::ggplot_build(a_gplot))
+    leg <- which(sapply(tmp$grobs, function(x) x$name) == "guide-box")
+    legend <- tmp$grobs[[leg]]
+    return(legend)
+}
+
+legend <- get_legend(g3)
+gall <- gridExtra::grid.arrange(gridExtra::arrangeGrob(g1 + ggplot2::theme(legend.position = "none"), g2 + ggplot2::theme(legend.position = "none"), g3 + ggplot2::theme(legend.position = "none"), nrow = 1), legend, nrow = 2, heights = c(3, 2))
+
+
+filename <- ggplot2::ggsave("BetaDiversity_PcoA1_vs_PcoA2_vs_PcoA3.png", gall, scale = 0.65, width = 12, height = 9, units = "in", dpi = 200, limitsize = TRUE)
+
+filename
+}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/functions.r	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,79 @@
+#Rscript
+
+#########################
+##      Functions      ##
+#########################
+
+#####Packages : raster
+#               sp
+#               ggplot2
+
+####Set paramaters for all tools using BiodivMapR
+
+# path for the Mask raster corresponding to image to process
+# expected to be in ENVI HDR format, 1 band, integer 8bits
+# expected values in the raster: 0 = masked, 1 = selected
+# set to FALSE if no mask available
+input_mask_file <- FALSE
+
+# relative or absolute path for the Directory where results will be stored
+# For each image processed, a subdirectory will be created after its name
+output_dir <- "RESULTS"
+
+# SPATIAL RESOLUTION
+# resolution of spatial units for alpha and beta diversity maps (in pixels), relative to original image
+# if Res.Map = 10 for images with 10 m spatial resolution, then spatial units will be 10 pixels x 10m = 100m x 100m surfaces
+# rule of thumb: spatial units between 0.25 and 4 ha usually match with ground data
+# too small window_size results in low number of pixels per spatial unit, hence limited range of variation of diversity in the image
+window_size <- 10
+
+# PCA FILTERING: Set to TRUE if you want second filtering based on PCA outliers to be processed. Slower
+filterpca <- TRUE
+
+################################################################################
+##                    DEFINE PARAMETERS FOR METHOD                            ##
+################################################################################
+nbcpu <- 4
+maxram <- 0.5
+nbclusters <- 50
+
+################################################################################
+##                              PROCESS IMAGE                                 ##
+################################################################################
+# 1- Filter data in order to discard non vegetated / shaded / cloudy pixels
+ndvi_thresh <- 0.5
+blue_thresh <- 500
+nir_thresh  <- 1500
+continuum_removal <- TRUE
+
+
+
+#### Convert raster to dataframe
+
+# Convert raster to SpatialPointsDataFrame
+convert_raster <- function(data_raster) {
+r_pts <- raster::rasterToPoints(data_raster, spatial = TRUE)
+
+# reproject sp object
+geo_prj <- "+proj=longlat +datum=WGS84 +ellps=WGS84 +towgs84=0,0,0"
+r_pts <- sp::spTransform(r_pts, sp::CRS(geo_prj))
+
+
+# Assign coordinates to @data slot, display first 6 rows of data.frame
+r_pts@data <- data.frame(r_pts@data, longitude = sp::coordinates(r_pts)[, 1],
+                         latitude = sp::coordinates(r_pts)[, 2])
+
+return(r_pts@data)
+}
+
+
+#### Potting indices
+
+plot_indices <- function(data, titre) {
+  graph_indices <- ggplot2::ggplot(data) +
+  ggplot2::geom_point(ggplot2::aes_string(x = data[, 2], y = data[, 3], color = data[, titre]), shape = "square", size = 2) + ggplot2::scale_colour_gradient(low = "blue", high = "orange", na.value = "grey50") +
+  ggplot2::xlab("Longitude") + ggplot2::ylab("Latitude") +
+  ggplot2::theme(axis.text.x = ggplot2::element_text(angle = 90, vjust = 0.5, hjust = 1), plot.title = ggplot2::element_text(color = "black", size = 12, face = "bold")) + ggplot2::ggtitle(titre)
+
+ggplot2::ggsave(paste0(titre, ".png"), graph_indices, width = 12, height = 10, units = "cm")
+}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/indices_spectral.r	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,105 @@
+#Rscript
+
+###########################################
+##    Mapping alpha and beta diversity   ##
+###########################################
+
+#####Packages :  expint,
+#                pracma,
+#                R.utils,
+#                raster,
+#                sp,
+#                matrixStats,
+#                ggplot2,
+#                expandFunctions,
+#                stringr,
+#                XML,
+#                rgdal,
+#                stars,
+#####Load arguments
+
+args <- commandArgs(trailingOnly = TRUE)
+
+#####Import the S2 data
+
+if (length(args) < 1) {
+    stop("This tool needs at least 1 argument")
+}else {
+    data_raster <- args[1]
+    data_header <- args[2]
+    data <- args[3]
+    source(args[4])
+    source(args[5])
+    source(args[6])
+    indice_choice <- strsplit(args[7], ",")[[1]]
+    source(args[8])
+    output_raster <- as.character(args[9])
+
+}
+
+########################################################################
+##                  COMPUTE SPECTRAL INDEX : NDVI                     ##
+########################################################################
+
+if (data != "") {
+  #Create a directory where to unzip your folder of data
+  dir.create("data_dir")
+  unzip(data, exdir = "data_dir")
+
+  # Read raster
+  data_raster <- list.files("data_dir/results/Reflectance", pattern = "_Refl")
+  data_raster <- file.path("data_dir/results/Reflectance", data_raster[1])
+  refl <- raster::brick(data_raster)
+  refl2 <- raster::raster(data_raster)
+} else {
+  # Read raster
+  refl <- raster::brick(data_raster)
+  refl2 <- raster::raster(data_raster)
+}
+# get raster band name and clean format. Expecting band name and wav
+# reflFactor = 10000 when reflectance is coded as INT16
+refl <- raster::aggregate(refl, fact = 10)
+
+# Convert raster to SpatialPointsDataFrame
+refl2 <- raster::aggregate(refl2, fact = 10)
+r_pts <- convert_raster(refl2)
+table_ind <- r_pts
+# create directory for Spectralelength to be documented in image
+hdr_refl <- read_envi_header(get_hdr_name(data_raster))
+sensorbands <- hdr_refl$wavelength
+# compute a set of spectral indices defined by indexlist from S2 data indices
+si_path <- file.path("SpectralIndices")
+dir.create(path = si_path, showWarnings = FALSE, recursive = TRUE)
+# Save spectral indices
+
+indices <- lapply(indice_choice, function(x) {
+  indices_list <- computespectralindices_raster(refl = refl, sensorbands = sensorbands,
+                                                  sel_indices = x,
+                                                  reflfactor = 10000, stackout = FALSE)
+
+  index_path <- file.path(si_path, paste(basename(data_raster), "_", x, sep = ""))
+  spec_indices <- stars::write_stars(stars::st_as_stars(indices_list$spectralindices[[1]]), dsn = index_path, driver = "ENVI", type = "Float32")
+
+  # write band name in HDR
+  hdr <- read_envi_header(get_hdr_name(index_path))
+  hdr$`band names` <- x
+  write_envi_header(hdr = hdr, hdrpath = get_hdr_name(index_path))
+  # Writting the tabular and the plot
+  r_pts[, x] <- as.data.frame(sapply(spec_indices, c))
+  plot_indices(data = r_pts, titre = x)
+  return(r_pts)
+})
+
+new_table <- as.data.frame(indices)
+new_table <- new_table[, !grepl("longitude", names(new_table))]
+new_table <- new_table[, !grepl("latitude", names(new_table))]
+new_table <- new_table[, !grepl(basename(data_raster), names(new_table))]
+
+table_ind <- cbind(table_ind, new_table)
+if (length(indice_choice) == 1) {
+  colnames(table_ind) <- c(basename(data_raster), "longitude", "latitude", indice_choice)
+}
+
+write.table(table_ind, file = "Spec_Index.tabular", sep = "\t", dec = ".", na = " ", row.names = FALSE, col.names = TRUE, quote = FALSE)
+
+# Get the raster layer of the indice as an output
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/indices_spectral.xml	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,270 @@
+<tool id="srs_spectral_indices" name="Compute spectral indices" version="@VERSION@" profile = "20.01">
+    <description>as NDVI from remote sensing data</description>
+    <macros>
+        <import>macro.xml</import>
+    </macros>
+    <requirements>
+        <requirement type="package" version="4.2.2">r-base</requirement>
+        <requirement type="package" version="2.12.2">r-r.utils</requirement>
+        <requirement type="package" version="3.5_21">r-raster</requirement>
+        <requirement type="package" version="1.5_1">r-sp</requirement>
+        <requirement type="package" version="1.5_32">r-rgdal</requirement>
+        <requirement type="package" version="0.3.1">r-rasterdiv</requirement>
+        <requirement type="package" version="0.5_5">r-stars</requirement>
+        <requirement type="package" version="1.5.0">r-stringr</requirement>
+        <requirement type="package" version="2.4.2">r-pracma</requirement>
+        <requirement type="package" version="0.1_8">r-expint</requirement>
+        <requirement type="package" version="0.63.0">r-matrixstats</requirement>
+        <requirement type="package" version="3.4.0">r-ggplot2</requirement>
+        <requirement type="package" version="3.99_0.13">r-xml</requirement>
+        <requirement type="package" version="2.2.2">r-zip</requirement>
+        <requirement type="package" version="1.0.10">r-dplyr</requirement>
+    </requirements>
+    <command detect_errors="exit_code"><![CDATA[ 
+         #import re 
+        #if $method.type == 'envi_bil': 
+          #set input_raster = $method.input_raster
+          #set input_raster_identifier = re.sub('[^\s\w\-]', '_', str($input_raster.element_identifier)) 
+          #set input_header = $method.input_header
+          #set input_header_identifier = re.sub('[^\s\w\-]+[^.hdr]', '_', str($input_header.element_identifier)) 
+          cp '${input_raster}' '${input_raster_identifier}' &&
+          cp '${input_header}' '${input_header_identifier}' &&
+        #end if 
+        Rscript
+            '$__tool_directory__/indices_spectral.r'
+             #if $method.type == 'envi_bil':
+              '$input_raster_identifier' 
+              '$input_header_identifier'
+              ''
+            #else:
+              ''
+              ''
+              '$method.input'
+            #end if
+            '$__tool_directory__/prosail-master/R/Lib_PROSAIL.R'
+            '$__tool_directory__/prosail-master/R/Lib_SpectralIndices.R'
+            '$__tool_directory__/prosail-master/R/Lib_PROSAIL_HybridInversion.R'
+            '$input_indice'
+            '$__tool_directory__/functions.r'
+            '$choice'
+            '$output_indices'
+            '$plots'
+            '$output_raster'
+        ]]>
+    </command>
+    <inputs>
+        <conditional name="method">
+            <param name="type" type="select" label="In which format are your data ?" help="You can directly take the Reflectance output from the tool 'Preprocessing sentinel 2 data'">
+                <option value="zipper">The data you are using are in a zip folder Reflectance</option>
+                <option value="envi_bil">You already have the files ENVI BIL</option>
+            </param>
+            <when value="zipper">
+                <param name="input" type="data" format="zip" multiple="true" label="Input data"/>
+            </when>
+            <when value="envi_bil">
+                <param name="input_raster" type="data" format="bil" label="Input raster"/>
+                <param name="input_header" type="data" format="hdr" label="Input raster header"/>
+            </when>
+        </conditional>
+        <param name="input_indice" type="select" label="Input the type of indice you want" multiple="true">
+            <option value="ARI1">ARI1</option>
+            <option value="ARI2">ARI2</option>
+            <option value="ARVI">ARVI</option>
+            <option value="BAI">BAI</option>
+            <option value="BAIS2">BAIS2</option>
+            <option value="CCCI">CCCI</option>
+            <option value="CHL_RE">CHL RE</option>
+            <option value="CRI1">CRI1</option>
+            <option value="CRI2">CRI2</option>
+            <option value="EVI">EVI</option>
+            <option value="EVI2">EVI2</option>
+            <option value="GRVI1">GRVI1</option>
+            <option value="GNDVI">GNDVI</option>
+            <option value="IRECI">IRECI</option>
+            <option value="LAI_SAVI">LAI SAVI</option>
+            <option value="MCARI">MCARI</option>
+            <option value="mNDVI705">mNDVI705</option>
+            <option value="MSAVI2">MSAVI2</option>
+            <option value="MSI">MSI</option>
+            <option value="mSR705">mSR705</option>
+            <option value="MTCI">MTCI</option>
+            <option value="nBR_RAW">nBR_RAW</option>
+            <option value="NDI_45">NDI_45</option>
+            <option value="NDII">NDII</option>
+            <option value="NDSI">NDSI</option>
+            <option value="NDVI">NDVI</option>
+            <option value="NDVI_G">NDVI_G</option>
+            <option value="NDVI705">NDVI705</option>
+            <option value="NDWI">NDWI</option>
+            <option value="NDWI1">NDWI1</option>
+            <option value="NDWI2">NDWI2</option>
+            <option value="PSRI">PSRI</option>
+            <option value="PSRI_NIR">PSRI_NIR</option>
+            <option value="RE_NDVI">RE_NDVI</option>
+            <option value="RE_NDWI">RE_NDWI</option>
+            <option value="S2REP">S2REP</option>
+            <option value="SAVI">SAVI</option>
+            <option value="SIPI">SIPI</option>
+            <option value="SR">SR</option>
+            <option value="CR_SWIR">CR_SWIR</option>
+        </param>
+        <param name="choice" type="select" label="Do you want the raster layer of the indice as an output ?" display="radio">
+            <option value="N">No</option>
+            <option value="Y">Yes</option>
+        </param>
+    </inputs>
+    <outputs>
+        <data name="output_indices" from_work_dir="Spec_Index.tabular" format="tabular" label="${input_indice} tabular"/>
+        <collection type="list" name="plots" label="${input_indice} plot">
+            <discover_datasets pattern="(?P&lt;designation&gt;.+)\.png" visible="false" format="png"/>
+        </collection>
+        <collection type="list" name="output_raster" label="${input_indice} raster">
+            <discover_datasets pattern="(?P&lt;designation&gt;.+)" directory="SpectralIndices/" visible="false" recurse="true" format="bil,hdr"/>
+                <filter> choice == 'Y'</filter>
+        </collection>
+    </outputs>
+    <tests>
+        <test>
+            <param name="type" value="envi_bil"/>
+            <param name="input_raster" value="S2A_Subset"/>
+            <param name="input_header" value="S2A_Subset.hdr"/>
+            <param name="input_indice" value="NDVI"/>
+            <param name="choice" value="N"/>
+            <output name="output_indices">
+                <assert_contents>
+                    <has_n_columns n="4"/>
+                    <has_n_lines n="10001"/>
+                    <has_text_matching expression="237\.25\t13.72\d*\t3.17\d*\t0.80\d*" />
+                </assert_contents>
+            </output>
+            <output_collection name="plots" type="list" count="1"/>
+        </test>
+    </tests>
+    <help><![CDATA[
+=========================================================================
+Computes biodiversity spectral indices from satellite remote sensing data 
+=========================================================================
+
+
+**What it does**
+
+This tool estimates vegetation properties (leaf and canopy) from sensor measurements. You can choose which vegetation property you want to compute.
+
+**Input description**
+
+It expects an image file as input, with a specific data format. ENVI HDR image with BIL interleave required.
+The image is an ENVI raster including :
+
+- A binary file (which has no extension here).
+
+- A header file (with .hdr extension).
+
+The header file is a text file including all necessary metadata which can be read with a text editor. It includes image dimensions, projection, and the name and central wavelength for each spectral band.
+
+In order to get such input we advise to use the tool preprocessing sentinel 2 data. If you did so you can directly enter the "Reflectance" output from this tool and thus select the otpion "The data you are using are in a zip folder Reflectance". 
+
+⚠️ If you do not use this Reflectance folder make sure that your data are respectively in bil and hdr format in the datatypes.
+
+Finally, you can choose whether or not you want to have the raster layer of your indice.
+
++--------------+----------+---------------+
+|      BIL     |    HDR   |Spectral indice|
++==============+==========+===============+
+| raster stack | Metadata |     NDVI      |
++--------------+----------+---------------+
+|      ...     |    ...   |      ...      |
++--------------+----------+---------------+
+
+**Output**
+
+- One tabular with 3 columns : longitude, latitude and the chosen indice. 
+
+- One png plot for the vizualisation of the chosen indice.
+
+- Opionnnal, the raster layer in a zip file.
+
+**Additionnal informations**
+
+This tools allows you to compute one of GEO BON EBV 'Canopy Chlorophyll Content' (https://portal.geobon.org/ebv-detail?id=13). This EBV is computed by GEO BON on the Netherlands, here you can compute it on which ever Sentinel 2 data you want by chosing to calculate the indice CCI. When you chose your data you have to select a cloud cover smaller than 10% (you can selct this character directly on the different platforms wher you can download Sentinel 2 data).
+
+**Indices description**
+
++-------------------+---------------------------------------------------------+
+|    Abbreviation   |                    Name                                 |
++===================+=========================================================+ 
+|  ARI              |Anthocyanin reflectance index                            |
++-------------------+---------------------------------------------------------+
+|  ARVI             |Atmospherically Resistant Vegetation Index               |
++-------------------+---------------------------------------------------------+
+|  BAI              |Burn Area Index                                          |
++-------------------+---------------------------------------------------------+
+|  BAIS2            |Burned Area Index for Sentinel 2                         |
++-------------------+---------------------------------------------------------+
+|  CCCI             |Canopy Chlorophyll Content Index                         |
++-------------------+---------------------------------------------------------+
+|  CHL_RE           |Chlorophyll Red-Edge ?                                   |
++-------------------+---------------------------------------------------------+
+|  EVI              |Enhanced Vegetation Index                                |
++-------------------+---------------------------------------------------------+
+|  GRVI1            |Green Ratio Vegetation Index                             |
++-------------------+---------------------------------------------------------+
+|  GNDVI            |Green Normalized Difference Vegetation Index             |
++-------------------+---------------------------------------------------------+
+|  IRECI            |Inverted Red-Edge Chlorophyll Index                      |
++-------------------+---------------------------------------------------------+
+|  LAI SAVI         |Leaf Area Index Soil Adjusted Vegetation Index ?         |
++-------------------+---------------------------------------------------------+
+|  MCARI            |Modified Chlorophyll Absorption in Reflectance Index     |
++-------------------+---------------------------------------------------------+
+|  mNDVI705         |Modified NDVI 705                                        |
++-------------------+---------------------------------------------------------+
+|  MSAVI2           |Modified Soil Adjusted Vegetation Index 2                |
++-------------------+---------------------------------------------------------+
+|  MSI              |Moisture Stress Index                                    |
++-------------------+---------------------------------------------------------+
+|  mSR705           |Modified Simple Ratio 705                                |
++-------------------+---------------------------------------------------------+
+|  MTCI             |MERIS Terrestrial Chlorophyll Index                      |
++-------------------+---------------------------------------------------------+
+|  NBR_RAW          |Normalized Burn Ratio RAW                                |
++-------------------+---------------------------------------------------------+
+|  NDI_45           |                                                         |
++-------------------+---------------------------------------------------------+
+|  NDII             |Normalized Difference 819/1600 NDII                      |
++-------------------+---------------------------------------------------------+
+|  NDSI             |Normalized Difference Snow Index                         |
++-------------------+---------------------------------------------------------+
+|  NDVI             |Normalized Difference Vegetation Index                   |
++-------------------+---------------------------------------------------------+
+|  NDVI_G           |                                                         |
++-------------------+---------------------------------------------------------+
+|  NDVI705          |NDVI 705                                                 |
++-------------------+---------------------------------------------------------+
+|  NDWI             |Normalized Difference Water Index                        |
++-------------------+---------------------------------------------------------+
+|  NDWI1            |NDMI ? Normalized Difference Moisture Index ?            |
++-------------------+---------------------------------------------------------+
+|  NDWI2            |                                                         |
++-------------------+---------------------------------------------------------+
+|  PSRI             |Plant Senescing Reflectance Index                        |
++-------------------+---------------------------------------------------------+
+|  PSRI_NIR         |                                                         |
++-------------------+---------------------------------------------------------+
+|  RE_NDVI          |Red Edge NDVI ?                                          |
++-------------------+---------------------------------------------------------+
+|  RE_NDWI          |Red Edge NDWI                                            |
++-------------------+---------------------------------------------------------+
+|  S2REP            |Sentinel 2 Red-Edge Position                             |
++-------------------+---------------------------------------------------------+
+|  SAVI             |Soil Adjusted Vegetation Index                           |
++-------------------+---------------------------------------------------------+
+|  SIPI             |Structure Intensive Pigment Index 1                      |
++-------------------+---------------------------------------------------------+
+|  SR               |Simple Ratio ?                                           |
++-------------------+---------------------------------------------------------+
+|  CR_SWIR          |CR short wave infrared                                   |
++-------------------+---------------------------------------------------------+
+
+    ]]>    </help>
+        <expand macro="SRS_prosailref"/>
+</tool>
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/macro.xml	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,102 @@
+<macros>
+    <token name="@VERSION@">0.0.1</token>
+    <xml name="SRS_requirements">
+        <requirements>
+            <requirement type="package" version="4.2.2">r-base</requirement>
+            <requirement type="package" version="2.12.2">r-r.utils</requirement>
+            <requirement type="package" version="1.0_7">r-sf</requirement>
+            <requirement type="package" version="1.5_32">r-rgdal</requirement>
+            <requirement type="package" version="0.6_1">r-rgeos</requirement>
+            <requirement type="package" version="0.5_5">r-stars</requirement>
+            <requirement type="package" version="1.5.0">r-stringr</requirement>
+            <requirement type="package" version="1.9.8">r-biodivmapr</requirement>
+            <requirement type="package" version="0.36">r-xfun</requirement>
+            <requirement type="package" version="0.51.4">r-rastervis</requirement>
+            <requirement type="package" version="3.4.0">r-ggplot2</requirement>
+            <requirement type="package" version="2.11.0">r-mapview</requirement>
+            <requirement type="package" version="2.3">r-gridextra</requirement>
+            <requirement type="package" version="3.0.0">r-emstreer</requirement>
+            <requirement type="package" version="3.2.3">r-filesstrings</requirement>
+            <!--requirement type="package" version="9.0.1">proj</requirement-->
+            <yield/>
+        </requirements>
+    </xml>
+    <xml name="SRS_input">
+       <param name="input" type="data" format="tabular,csv,txt" label="Input table"/>
+       <param name="colnames" type="boolean" label="First line is a header line" checked="true"/>
+    </xml>
+    <xml name="SRS_bibref">
+       <citations>
+            <citation type="bibtex">
+            @Manual{,
+            title = {obisindicators: Develop marine biodiversity indicators from OBIS data},
+            author = {Ben Ben and Pieter Provoost and Tylar Murray},
+            year = {2022},
+            note = {https://marinebon.org/obisindicators,
+            https://github.com/marinebon/obisindicators},
+            }
+            </citation>
+        </citations>
+    </xml>
+    <xml name="SRS_S2ref">
+        <citations>
+            <citation type="bibtex">
+            @Manual{,
+            title = {preprocS2: preprocessing of Sentinel-2 data downloaded from various data hubs / produced from various atmospheric correction methods},
+            author = {Jean-Baptiste Feret},
+            year = {2022},
+            note = {R package version 1.1.3},
+            url = {https://gitlab.com/jbferet/preprocS2},
+            }
+            </citation>   
+        </citations>
+    </xml>
+    <xml name="SRS_BDMRref">
+        <citations>
+            <citation type="bibtex">
+            @Manual{,
+            title = {biodivMapR: biodivMapR: an R package for a- and ß-diversity mapping using remotely-sensed images},
+            author = {Jean-Baptiste Feret and Florian {de Boissieu}},
+            year = {2022},
+            note = {R package version 1.9.4},
+            url = {https://github.com/jbferet/biodivMapR},
+            }
+            </citation>   
+        </citations>
+    </xml>
+    <xml name="SRS_rasterdivref">
+        <citations>
+            <citation type="doi">doi:10.1016/j.ecolind.2016.07.039</citation> 
+            <citation type="doi">doi:10.1101/2021.01.23.427872</citation>     
+        </citations>
+    </xml>
+    <xml name="SRS_prosailref">
+        <citations>
+            <citation type="bibtex">
+            @Manual{,
+            title = {prosail: PROSAIL leaf and canopy radiative transfer model and inversion routines},
+            author = {Jean-Baptiste Feret and Florian {de Boissieu}},
+            year = {2022},
+            note = {R package version 1.1.1},
+            url = {https://gitlab.com/jbferet/prosail},
+            }
+            </citation>   
+        </citations>
+    </xml>
+    <xml name="SRS_metaref">
+        <citations>
+            <citation type="doi">doi.org/10.5281/zenodo.5907920</citation>
+        </citations>
+    </xml>
+    <xml name="SRS_vegetpheno">
+        <citations>
+            <citation type="doi">doi.org/10.1016/j.rse.2013.09.022</citation>
+        </citations>
+    </xml>
+    <xml name="topic">
+        <edam_topics>
+           <edam_topic>topic_0610</edam_topic>
+           <edam_topic>topic_3050</edam_topic>
+        </edam_topics>
+    </xml>
+</macros>
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/pca_raster.r	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,75 @@
+#Rscript
+
+###########################################
+##    Getting PCA raster   ##
+###########################################
+
+#####Packages : stars
+#               utils
+#               biodivmapr
+#               raster
+#               sf
+#               mapview
+#               leafpop
+#               RColorBrewer
+#               labdsv
+#               rgdal
+#               ggplot2
+#               gridExtra
+## remotes::install_github("jbferet/biodivMapR")
+#####Load arguments
+
+args <- commandArgs(trailingOnly = TRUE)
+
+#####Import the S2 data
+
+if (length(args) < 1) {
+    stop("This tool needs at least 1 argument")
+}else {
+    data_raster <- args[1]
+    rasterheader <- args[2]
+    data <- args[3]
+    typepca <- as.character(args[4])
+    source(args[5])
+}
+
+################################################################################
+##              DEFINE PARAMETERS FOR DATASET TO BE PROCESSED                 ##
+################################################################################
+# expected to be in ENVI HDR
+
+if (data_raster == "") {
+  #Create a directory where to unzip your folder of data
+  dir.create("data_dir")
+  unzip(data, exdir = "data_dir")
+  # Path to raster
+  data_raster <- list.files("data_dir/results/Reflectance", pattern = "_Refl")
+  input_image_file <- file.path("data_dir/results/Reflectance", data_raster[1])
+  input_header_file <- file.path("data_dir/results/Reflectance", data_raster[2])
+
+} else {
+  input_image_file <- file.path(getwd(), data_raster, fsep = "/")
+  input_header_file <- file.path(getwd(), rasterheader, fsep = "/")
+}
+
+################################################################################
+##                              PROCESS IMAGE                                 ##
+################################################################################
+# 1- Filter data in order to discard non vegetated / shaded / cloudy pixels
+print("PERFORM PCA ON RASTER")
+pca_output <- biodivMapR::perform_PCA(Input_Image_File = input_image_file, Input_Mask_File = input_mask_file,
+                          Output_Dir = output_dir, TypePCA = typepca, FilterPCA = filterpca, nbCPU = nbcpu, MaxRAM = maxram)
+
+
+pca_path <- file.path(output_dir, basename(data_raster), typepca, "PCA", "OutputPCA_8_PCs")
+pca_raster <- raster::raster(pca_path)
+get_pca <- convert_raster(pca_raster)
+
+colnames(get_pca) <- c("PCA", "longitude", "latitude")
+plot_indices(get_pca, titre = "PCA")
+
+write.table(get_pca, file = "PCA.tabular", sep = "\t", dec = ".", na = " ", row.names = FALSE, col.names = TRUE, quote = FALSE)
+#### Get the raster layer files
+pca_files <- file.path("RESULTS", basename(data_raster), typepca, "PCA")
+to_dir_short <- output_dir
+file.copy(pca_files, to_dir_short) #copy files from long to short paths
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/preprocess_S2.r	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,121 @@
+#Rscript
+
+###########################################
+##     Preprocessing Sentinel 2 data     ##
+###########################################
+
+#####Packages : sen2r,
+#    jqr,
+#    protolite,
+#    raster,
+#    sf,
+#    rgeos,
+#    sp,
+#    raster,
+#    stars,
+#    stringr,
+#    progress,
+#    rgdal,
+#    R.utils,
+#    gdalUtils,
+#    fasterize,
+#    XML,
+#    XML2
+
+#####Load arguments
+
+args <- commandArgs(trailingOnly = TRUE)
+
+if (length(args) < 1) {
+    stop("This tool needs at least 1 argument")
+}else {
+    data <- args[1]
+    source(args[2])
+    data_source <- as.character(args[3])
+    sat_type <- as.character(args[4])
+}
+
+##____________________________________________________________________##
+##        Define where data is stored and where to write results      ##
+##--------------------------------------------------------------------##
+
+#Create a directory where to unzip your folder of data
+dir.create("data_dir")
+unzip(data, exdir = "data_dir")
+
+# Result directory
+result_path <- "results"
+dir.create(path = result_path, showWarnings = FALSE, recursive = TRUE)
+
+#Csv file for output useless but needed for linter
+write.csv(data_source, "Mission.csv")
+
+# define raster path
+if (data_source == "SAFE") {
+    path_s2 <- file.path("data_dir", list.files("data_dir", pattern = ".SAFE"))
+    #To define the level and know if a correction is needed (convert not ready yet)
+    level_info <- get_s2_level(path_s2)
+    if (level_info == "L1C") {
+        stop("! This tool works for data of L2A level and NOT for the L1C level which is currently a work in progress !")
+    }
+}else {
+    path_s2 <- file.path("data_dir")
+}
+
+##____________________________________________________________________##
+##                  Extract, resample & stack data                    ##
+##--------------------------------------------------------------------##
+# define resolution
+resolution <- 10
+# define source of data
+s2source <- data_source
+
+s2obj <- extract_from_s2_l2a(path_dir_s2 = path_s2,
+                                        path_vector = NULL,
+                                        s2source = s2source,
+                                        resolution = resolution)
+
+##____________________________________________________________________##
+##                        Write CLOUD MASK                            ##
+##--------------------------------------------------------------------##
+
+# directory for cloud mask
+cloud_path <- file.path(result_path, "CloudMask")
+dir.create(path = cloud_path, showWarnings = FALSE, recursive = TRUE)
+# Filename for cloud mask
+cloudmasks <- save_cloud_s2(s2_stars = s2obj$s2_stack,
+                                       cloud_path = cloud_path,
+                                       s2source = s2source, saveraw = TRUE)
+
+zip_cloud <- file.path("Cloud.zip")
+zip::zip(zip_cloud, cloud_path)
+##____________________________________________________________________##
+##                        Write REFLECTANCE                           ##
+##--------------------------------------------------------------------##
+
+# directory for Reflectance
+refl_dir <- file.path(result_path, "Reflectance")
+dir.create(path = refl_dir, showWarnings = FALSE, recursive = TRUE)
+
+if (data_source == "SAFE") {
+    # filename for Reflectance
+    refl_path <- file.path(refl_dir, paste(basename(s2obj$s2_bands$GRANULE), "_Refl", sep = ""))
+
+    # Save Reflectance file as ENVI image with BIL interleaves
+    tile_s2 <- substring(strsplit(basename(s2obj$s2_bands$GRANULE), "_")[[1]][2], 2)
+    dateacq_s2 <- as.Date(substring(strsplit(basename(s2obj$s2_bands$GRANULE), "_")[[1]][4], 1, 8), format = "%Y%m%d")
+}else {
+    # filename for Reflectance
+    refl_path <- file.path(refl_dir, paste(basename(s2obj$s2_bands$path_tile_s2), "_Refl", sep = ""))
+
+    # Save Reflectance file as ENVI image with BIL interleaves
+    tile_s2 <- substring(strsplit(basename(s2obj$s2_bands$path_tile_s2), "_")[[1]][2], 2)
+    dateacq_s2 <- as.Date(substring(strsplit(basename(s2obj$s2_bands$path_tile_s2), "_")[[1]][4], 1, 8), format = "%Y%m%d")
+}
+
+save_data <- save_reflectance_s2(s2_stars = s2obj$s2_stack, refl_path = refl_path,
+                               s2sat = sat_type, tile_s2 = tile_s2, dateacq_s2 = dateacq_s2,
+                               format = "ENVI", datatype = "Int16", mtd = s2obj$s2_bands$metadata, mtd_msi = s2obj$s2_bands$metadata_MSI)
+
+zip_files <- file.path("Refl.zip")
+zip::zip(zip_files, refl_dir)
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/prosail-master/R/Lib_PROSAIL.R	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,1233 @@
+# ============================================================================= =
+# prosail
+# Lib_PROSAIL.R
+# ============================================================================= =
+# PROGRAMMERS:
+# Jean-Baptiste FERET <jb.feret@teledetection.fr >
+# Florian de BOISSIEU <fdeboiss@gmail.com >
+# copyright 2019 / 11 Jean-Baptiste FERET
+# ============================================================================= =
+# This Library includes functions dedicated to PROSAIL simulation
+# SAIL versions available are 4SAIL and 4SAIL2
+# ============================================================================= =
+
+#" computes bidirectional reflectance factor based on outputs from PROSAIL and sun position
+#"
+#" The direct and diffuse light are taken into account as proposed by:
+#" Francois et al. (2002) conversion of 400-1100 nm vegetation albedo
+#" measurements into total shortwave broadband albedo using a canopy
+#" radiative transfer model,  Agronomie
+#" Es = direct
+#" Ed = diffuse
+#"
+#" @param rdot numeric. Hemispherical-directional reflectance factor in viewing direction
+#" @param rsot numeric. Bi-directional reflectance factor
+#" @param tts numeric. Solar zenith angle
+#" @param specatm_sensor list. direct and diffuse radiation for clear conditions
+#" @return brf numeric. Bidirectional reflectance factor
+#" @export
+compute_brf  <- function(rdot, rsot, tts, specatm_sensor) {
+
+  ############################## #
+  ##	direct  /  diffuse light	##
+  ############################## #
+  es <- specatm_sensor$Direct_Light
+  ed <- specatm_sensor$Diffuse_Light
+  rd <- pi / 180
+  skyl <- 0.847 - 1.61 * sin((90 - tts) * rd) +  1.04 * sin((90 - tts) * rd) * sin((90 - tts) * rd) # diffuse radiation (Francois et al.,  2002)
+  pardiro <- (1 - skyl) * es
+  pardifo <- skyl * ed
+  brf <- (rdot * pardifo + rsot * pardiro) / (pardiro + pardifo)
+  return(brf)
+}
+
+#" Performs PROSAIL simulation based on a set of combinations of input parameters
+#" @param spec_sensor list. Includes optical constants required for PROSPECT
+#" refractive index,  specific absorption coefficients and corresponding spectral bands
+#" @param input_prospect  list. PROSPECT input variables
+#" @param n numeric. Leaf structure parameter
+#" @param chl numeric. chlorophyll content (microg.cm-2)
+#" @param car numeric. carotenoid content (microg.cm-2)
+#" @param ant numeric. anthocyain content (microg.cm-2)
+#" @param brown numeric. brown pigment content (Arbitrary units)
+#" @param ewt numeric. Equivalent Water Thickness (g.cm-2)
+#" @param lma numeric. Leaf Mass per Area (g.cm-2)
+#" @param prot numeric. protein content  (g.cm-2)
+#" @param cbc numeric. nonprotcarbon-based constituent content (g.cm-2)
+#" @param alpha numeric. Solid angle for incident light at surface of leaf (simulation of roughness)
+#" @param typelidf numeric. Type of leaf inclination distribution function
+#" @param lidfa numeric.
+#" if typelidf  == 1,  controls the average leaf slope
+#" if typelidf  == 2,  corresponds to average leaf angle
+#" @param lidfb numeric.
+#" if typelidf  == 1,  unused
+#" if typelidf  == 2,  controls the distribution"s bimodality
+#" @param lai numeric. Leaf Area Index
+#" @param q numeric. Hot Spot parameter
+#" @param tts numeric. Sun zeith angle
+#" @param tto numeric. Observer zeith angle
+#" @param psi numeric. Azimuth Sun  /  Observer
+#" @param rsoil numeric. Soil reflectance
+#" @param fraction_brown numeric. Fraction of brown leaf area
+#" @param diss numeric. Layer dissociation factor
+#" @param cv numeric. vertical crown cover percentage
+#" = % ground area covered with crowns as seen from nadir direction
+#" @param zeta numeric. Tree shape factor
+#" = ratio of crown diameter to crown height
+#" @param sailversion character. choose between 4SAIL and 4SAIL2
+#" @param brownvegetation list. Defines optical properties for brown vegetation,  if not nULL
+#" - WVL,  reflectance,  Transmittance
+#" - Set to nULL if use PROSPECT to generate it
+#"
+#" @return list. rdot, rsot, rddt, rsdt
+#" rdot: hemispherical-directional reflectance factor in viewing direction
+#" rsot: bi-directional reflectance factor
+#" rsdt: directional-hemispherical reflectance factor for solar incident flux
+#" rddt: bi-hemispherical reflectance factor
+#" @import prospect
+#" @export
+pro4sail  <- function(spec_sensor, input_prospect = nULL, n = 1.5, chl = 40.0,
+                     car = 8.0, ant = 0.0, brown = 0.0, ewt = 0.01,
+                     lma = 0.008, prot = 0.0, cbc = 0.0, alpha = 40.0,
+                     typelidf = 2, lidfa = nULL, lidfb = nULL, lai = nULL,
+                     q = nULL, tts = nULL, tto = nULL, psi = nULL, rsoil = nULL,
+                     fraction_brown = 0.0,  diss = 0.0,  cv = 1, zeta = 1,
+                     sailversion = "4SAIL", brownvegetation = nULL) {
+
+  ############################ #
+  #	LEAF OPTICAL PROPERTIES	##
+  ############################ #
+  if (is.null(input_prospect)) {
+    input_prospect <- data.frame("chl" = chl, "car" = car, "ant" = ant, "brown" = brown, "ewt" = ewt,
+                                "lma" = lma, "prot" = prot, "cbc" = cbc, "n" = n, "alpha" = alpha)
+  }
+  greenvegetation <- prospect::PROSPECT(SpecPROSPECT = spec_sensor,
+                                        n = input_prospect$n[1],
+                                        chl = input_prospect$chl[1],
+                                        car = input_prospect$car[1],
+                                        ant = input_prospect$ant[1],
+                                        brown = input_prospect$brown[1],
+                                        ewt = input_prospect$ewt[1],
+                                        lma = input_prospect$lma[1],
+                                        prot = input_prospect$prot[1],
+                                        cbc = input_prospect$cbc[1],
+                                        alpha = input_prospect$alpha[1])
+
+  if (sailversion  ==  "4SAIL2") {
+    # 4SAIL2 requires one of the following combination of input parameters
+    # Case #1: valid optical properties for brown vegetation
+    if (!is.null(brownvegetation)) {
+      # need to define reflectance and Transmittance for brownvegetation
+      if (length(grep("reflectance", names(brownvegetation))) == 0 || length(grep("Transmittance", names(brownvegetation))) == 0) {
+        message("Please define brownvegetation as a list including reflectance and Transmittance")
+        stop()
+      }
+      # check if spectral domain for optical properties of brown vegetation match
+      # with spectral domain for optical properties of green vegetation
+      if (length(setdiff(spec_sensor$lambda, brownvegetation$wvl)) > 0) {
+        message("Please define same spectral domain for brownvegetation and SpecPROSPECT")
+        stop()
+      }
+      if (length(unique(lengths(input_prospect))) == 1) {
+        if (!unique(lengths(input_prospect)) == 1) {
+          message("brownvegetation defined along with multiple leaf chemical properties")
+          message("Only first set of leaf chemical properties will be used to simulate green vegetation")
+        }
+      }
+    # if no leaf optical properties brown vegetation defined
+    } else if (is.null(brownvegetation)) {
+      # if all PROSPECT input parameters have the same length
+      if (length(unique(lengths(input_prospect))) == 1) {
+        # if all PROSPECT input parameters are unique (no possibility to simulate 2 types of leaf optics)
+        if (unique(lengths(input_prospect)) == 1) {
+          # if fraction_brown set to 0,  then assign green vegetation optics to brown vegetation optics
+          if (fraction_brown == 0) {
+            brownvegetation <- greenvegetation
+          # else run 4SAIL
+          } else {
+            message("4SAIL2 needs two sets of optical properties for green and brown vegetation")
+            message("Currently one set is defined. will run 4SAIL instead of 4SAIL2")
+            sailversion <- "4SAIL"
+          }
+        # if all PROSPECT parameters have at least 2 elements
+        } else if (unique(lengths(input_prospect)) >= 2) {
+          # compute leaf optical properties
+          brownvegetation <- prospect::PROSPECT(SpecPROSPECT = spec_sensor,
+                                                n = input_prospect$n[2],
+                                                chl = input_prospect$chl[2],
+                                                car = input_prospect$car[2],
+                                                ant = input_prospect$ant[2],
+                                                brown = input_prospect$brown[2],
+                                                ewt = input_prospect$ewt[2],
+                                                lma = input_prospect$lma[2],
+                                                prot = input_prospect$prot[2],
+                                                cbc = input_prospect$cbc[2],
+                                                alpha = input_prospect$alpha[2])
+          if (unique(lengths(input_prospect)) > 2) {
+            message("4SAIL2 needs two sets of optical properties for green and brown vegetation")
+            message("Currently more than 2 sets are defined. will only use the first 2")
+          }
+        }
+      }
+    }
+  }
+  if (sailversion  ==  "4SAIL") {
+    if (length(unique(lengths(input_prospect))) == 1) {
+      if (unique(lengths(input_prospect)) > 1) {
+        message("4SAIL needs only one set of optical properties")
+        message("Currently more than one set of leaf chemical constituents is defined.")
+        message("Will run 4SAIL with the first set of leaf chemical constituents")
+      }
+    }
+  }
+
+  if (sailversion  ==  "4SAIL") {
+    # run 4SAIL
+    ref <- foursail(leafoptics = greenvegetation,
+                    typelidf,  lidfa,  lidfb,  lai,  q,  tts,  tto,  psi,  rsoil)
+  } else if (sailversion  ==  "4SAIL2") {
+    # run 4SAIL2
+    ref <- foursail2(leafgreen = greenvegetation,  leafbrown = brownvegetation,
+                     typelidf,  lidfa,  lidfb,  lai,  q,  tts,  tto,  psi,  rsoil,
+                     fraction_brown,  diss,  cv,  zeta)
+  }
+  return(ref)
+}
+
+#" Performs PROSAIL simulation based on a set of combinations of input parameters
+#" @param leafoptics list. Includes leaf optical properties (reflectance and transmittance)
+#" and corresponding spectral bands
+#" @param typelidf numeric. Type of leaf inclination distribution function
+#" @param lidfa numeric.
+#" if typelidf  == 1,  controls the average leaf slope
+#" if typelidf  == 2,  corresponds to average leaf angle
+#" @param lidfb numeric.
+#" if typelidf  == 1,  unused
+#" if typelidf  == 2,  controls the distribution"s bimodality
+#" @param lai numeric. Leaf Area Index
+#" @param q numeric. Hot Spot parameter
+#" @param tts numeric. Sun zeith angle
+#" @param tto numeric. Observer zeith angle
+#" @param psi numeric. Azimuth Sun  /  Observer
+#" @param rsoil numeric. Soil reflectance
+#"
+#" @return list. rdot, rsot, rddt, rsdt
+#" rdot: hemispherical-directional reflectance factor in viewing direction
+#" rsot: bi-directional reflectance factor
+#" rsdt: directional-hemispherical reflectance factor for solar incident flux
+#" rddt: bi-hemispherical reflectance factor
+#" @export
+
+foursail  <- function(leafoptics,  typelidf = 2,  lidfa = nULL,  lidfb = nULL,  lai = nULL,
+                      q = nULL,  tts = nULL,  tto = nULL,  psi = nULL,  rsoil = nULL) {
+
+  ############################## #
+  #	LEAF OPTICAL PROPERTIES	##
+  ############################## #
+  rho <- leafoptics$Reflectance
+  tau <- leafoptics$Transmittance
+
+  #	Geometric quantities
+  rd <- pi / 180
+  cts <- cos(rd * tts)
+  cto <- cos(rd * tto)
+  ctscto <- cts * cto
+  tants <- tan(rd * tts)
+  tanto <- tan(rd * tto)
+  cospsi <- cos(rd * psi)
+  dso <- sqrt(tants * tants + tanto * tanto - 2. * tants * tanto * cospsi)
+
+  #	Generate leaf angle distribution from average leaf angle (ellipsoidal) or (a, b) parameters
+  if (typelidf == 1) {
+    foliar_distrib <- dladgen(lidfa, lidfb)
+    lidf <- foliar_distrib$lidf
+    litab <- foliar_distrib$litab
+
+  } else if (typelidf == 2) {
+    foliar_distrib <- campbell(lidfa)
+    lidf <- foliar_distrib$lidf
+    litab <- foliar_distrib$litab
+  }
+
+  # angular distance,  compensation of shadow length
+  #	Calculate geometric factors associated with extinction and scattering
+  #	Initialise sums
+  ks <- 0
+  ko <- 0
+  bf <- 0
+  sob <- 0
+  sof <- 0
+
+  #	Weighted sums over LIDF
+  na <- length(litab)
+  for (i in 1:na) {
+    ttl <- litab[i]	    # leaf inclination discrete values
+    ctl <- cos(rd * ttl)
+    #	SAIL volume scattering phase function gives interception and portions to be
+    #	multiplied by rho and tau
+    resvolscatt <- volscatt(tts, tto, psi, ttl)
+    chi_s <- resvolscatt$chi_s
+    chi_o <- resvolscatt$chi_o
+    frho <- resvolscatt$frho
+    ftau <- resvolscatt$ftau
+
+    #********************************************************************************
+    #*                   SUITS SYSTEM coEFFICIEnTS
+    #*
+    #*	ks  : Extinction coefficient for direct solar flux
+    #*	ko  : Extinction coefficient for direct observed flux
+    #*	att : Attenuation coefficient for diffuse flux
+    #*	sigb : Backscattering coefficient of the diffuse downward flux
+    #*	sigf : Forwardscattering coefficient of the diffuse upward flux
+    #*	sf  : Scattering coefficient of the direct solar flux for downward diffuse flux
+    #*	sb  : Scattering coefficient of the direct solar flux for upward diffuse flux
+    #*	vf   : Scattering coefficient of upward diffuse flux in the observed direction
+    #*	vb   : Scattering coefficient of downward diffuse flux in the observed direction
+    #*	w   : Bidirectional scattering coefficient
+    #********************************************************************************
+
+    #	Extinction coefficients
+    ksli <- chi_s / cts
+    koli <- chi_o / cto
+
+    #	Area scattering coefficient fractions
+    sobli <- frho * pi / ctscto
+    sofli <- ftau * pi / ctscto
+    bfli <- ctl * ctl
+    ks <- ks + ksli * lidf[i]
+    ko <- ko + koli * lidf[i]
+    bf <- bf + bfli * lidf[i]
+    sob <- sob + sobli * lidf[i]
+    sof <- sof + sofli * lidf[i]
+  }
+
+  #	Geometric factors to be used later with rho and tau
+  sdb <- 0.5 * (ks + bf)
+  sdf <- 0.5 * (ks - bf)
+  dob <- 0.5 * (ko + bf)
+  dof <- 0.5 * (ko - bf)
+  ddb <- 0.5 * (1. + bf)
+  ddf <- 0.5 * (1. - bf)
+
+  #	Here rho and tau come in
+  sigb <- ddb * rho + ddf * tau
+  sigf <- ddf * rho + ddb * tau
+  att <- 1 - sigf
+  m2 <- (att + sigb) * (att - sigb)
+  m2[which(m2 <= 0)] <- 0
+  m <- sqrt(m2)
+
+  sb <- sdb * rho + sdf * tau
+  sf <- sdf * rho + sdb * tau
+  vb <- dob * rho + dof * tau
+  vf <- dof * rho + dob * tau
+  w <- sob * rho + sof * tau
+
+  #	Here the LAI comes in
+  #   Outputs for the case LAI = 0
+  if (lai < 0) {
+    tss <- 1
+    too <- 1
+    tsstoo <- 1
+    rdd <- 0
+    tdd <- 1
+    rsd <- 0
+    tsd <- 0
+    rdo <- 0
+    tdo <- 0
+    rso <- 0
+    rsos <- 0
+    rsod <- 0
+
+    rddt <- rsoil
+    rsdt <- rsoil
+    rdot <- rsoil
+    rsodt <- 0 * rsoil
+    rsost <- rsoil
+    rsot <- rsoil
+  } else {
+    #	Other cases (LAI  >  0)
+    e1 <- exp(-m * lai)
+    e2 <- e1 * e1
+    rinf <- (att - m) / sigb
+    rinf2 <- rinf * rinf
+    re <- rinf * e1
+    denom <- 1. - rinf2 * e2
+
+    j1ks <- jfunc1(ks, m, lai)
+    j2ks <- jfunc2(ks, m, lai)
+    j1ko <- jfunc1(ko, m, lai)
+    j2ko <- jfunc2(ko, m, lai)
+
+    ps <- (sf + sb * rinf) * j1ks
+    qs <- (sf * rinf + sb) * j2ks
+    pv <- (vf + vb * rinf) * j1ko
+    qv <- (vf * rinf + vb) * j2ko
+
+    rdd <- rinf * (1. - e2) / denom
+    tdd <- (1. - rinf2) * e1 / denom
+    tsd <- (ps - re * qs) / denom
+    rsd <- (qs - re * ps) / denom
+    tdo <- (pv - re * qv) / denom
+    rdo <- (qv - re * pv) / denom
+
+    tss <- exp(-ks * lai)
+    too <- exp(-ko * lai)
+    z <- jfunc3(ks, ko, lai)
+    g1 <- (z - j1ks * too) / (ko + m)
+    g2 <- (z - j1ko * tss) / (ks + m)
+
+    tv1 <- (vf * rinf + vb) * g1
+    tv2 <- (vf + vb * rinf) * g2
+    t1 <- tv1 * (sf + sb * rinf)
+    t2 <- tv2 * (sf * rinf + sb)
+    t3 <- (rdo * qs + tdo * ps) * rinf
+
+    #	Multiple scattering contribution to bidirectional canopy reflectance
+    rsod <- (t1 + t2 - t3) / (1. - rinf2)
+
+    #	Treatment of the hotspot-effect
+    alf <- 1e6
+    #	Apply correction 2 / (K + k) suggested by F.-M. Breon
+    if (q > 0) {
+      alf <- (dso / q) * 2. / (ks + ko)
+    }
+    if (alf > 200) {
+      # inserted H. Bach 1 / 3 / 04
+      alf <- 200
+    }
+    if (alf == 0) {
+      #	The pure hotspot - no shadow
+      tsstoo <- tss
+      sumint <- (1 - tss) / (ks * lai)
+    } else {
+      #	Outside the hotspot
+      fhot <- lai * sqrt(ko * ks)
+      #	Integrate by exponential Simpson method in 20 steps
+      #	the steps are arranged according to equal partitioning
+      #	of the slope of the joint probability function
+      x1 <- 0
+      y1 <- 0
+      f1 <- 1
+      fint <- (1. - exp(-alf)) * 0.05
+      sumint <- 0
+      for (i in 1:20) {
+        if (i < 20) {
+          x2 <- -log(1. - i * fint) / alf
+        } else {
+          x2 <- 1
+        }
+        y2 <- -(ko + ks) * lai * x2 + fhot * (1. - exp(-alf * x2)) / alf
+        f2 <- exp(y2)
+        sumint <- sumint + (f2 - f1) * (x2 - x1) / (y2 - y1)
+        x1 <- x2
+        y1 <- y2
+        f1 <- f2
+      }
+      tsstoo <- f1
+    }
+    #	Bidirectional reflectance
+    #	Single scattering contribution
+    rsos <- w * lai * sumint
+    #	Total canopy contribution
+    rso <- rsos + rsod
+    #	Interaction with the soil
+    dn <- 1. - rsoil * rdd
+    # rddt: bi-hemispherical reflectance factor
+    rddt <- rdd + tdd * rsoil * tdd / dn
+    # rsdt: directional-hemispherical reflectance factor for solar incident flux
+    rsdt <- rsd + (tsd + tss) * rsoil * tdd / dn
+    # rdot: hemispherical-directional reflectance factor in viewing direction
+    rdot <- rdo + tdd * rsoil * (tdo + too) / dn
+    # rsot: bi-directional reflectance factor
+    rsodt <- rsod + ((tss + tsd) * tdo + (tsd + tss * rsoil * rdd) * too) * rsoil / dn
+    rsost <- rsos + tsstoo * rsoil
+    rsot <- rsost + rsodt
+  }
+  my_list <- list("rdot" = rdot, "rsot" = rsot, "rddt" = rddt, "rsdt" = rsdt)
+  return(my_list)
+}
+
+#" Performs pro4sail2 simulation based on a set of combinations of input parameters
+#" @param leafgreen list. includes relfectance and transmittance for vegetation #1 (e.g. green vegetation)
+#" @param leafbrown list. includes relfectance and transmittance for vegetation #2 (e.g. brown vegetation)
+#" @param typelidf numeric. Type of leaf inclination distribution function
+#" @param lidfa numeric.
+#" if typelidf  == 1,  controls the average leaf slope
+#" if typelidf  == 2,  corresponds to average leaf angle
+#" @param lidfb numeric.
+#" if typelidf  == 1,  unused
+#" if typelidf  == 2,  controls the distribution"s bimodality
+#" @param lai numeric. Leaf Area Index
+#" @param hot numeric. Hot Spot parameter = ratio of the correlation length of leaf projections in the horizontal plane and the canopy height (doi:10.1016 / j.rse.2006.12.013)
+#" @param tts numeric. Sun zeith angle
+#" @param tto numeric. Observer zeith angle
+#" @param psi numeric. Azimuth Sun  /  Observer
+#" @param rsoil numeric. Soil reflectance
+#" @param fraction_brown numeric. Fraction of brown leaf area
+#" @param diss numeric. Layer dissociation factor
+#" @param cv numeric. vertical crown cover percentage
+#" = % ground area covered with crowns as seen from nadir direction
+#" @param zeta numeric. Tree shape factor
+#" = ratio of crown diameter to crown height
+#"
+#" @return list. rdot, rsot, rddt, rsdt
+#" rdot: hemispherical-directional reflectance factor in viewing direction
+#" rsot: bi-directional reflectance factor
+#" rsdt: directional-hemispherical reflectance factor for solar incident flux
+#" rddt: bi-hemispherical reflectance factor
+#" alfast: canopy absorptance for direct solar incident flux
+#" alfadt: canopy absorptance for hemispherical diffuse incident flux
+#" @export
+
+foursail2  <- function(leafgreen,  leafbrown,
+                       typelidf = 2, lidfa = nULL, lidfb = nULL,
+                       lai = nULL,  hot = nULL, tts = nULL, tto = nULL, psi = nULL, rsoil = nULL,
+                       fraction_brown = 0.5,  diss = 0.5,  cv = 1, zeta = 1) {
+
+  #	This version does not include non-Lambertian soil properties.
+  #	original codes do,  and only need to add the following variables as input
+  rddsoil <- rdosoil <- rsdsoil <- rsosoil <- rsoil
+
+  #	Geometric quantities
+  rd <- pi / 180
+
+  #	Generate leaf angle distribution from average leaf angle (ellipsoidal) or (a, b) parameters
+  if (typelidf == 1) {
+    foliar_distrib <- dladgen(lidfa, lidfb)
+    lidf <- foliar_distrib$lidf
+    litab <- foliar_distrib$litab
+
+  } else if (typelidf == 2) {
+    foliar_distrib <- campbell(lidfa)
+    lidf <- foliar_distrib$lidf
+    litab <- foliar_distrib$litab
+  }
+
+  if (lai < 0) {
+    message("Please define positive LAI value")
+    rddt <- rsdt <- rdot <- rsost <- rsot <- rsoil
+    alfast <- alfadt <- 0 * rsoil
+  } else if (lai == 0) {
+    tss <- too <- tsstoo <- tdd <- 1.0
+    rdd <- rsd <- tsd <- rdo <- tdo <- 0.0
+    rso <- rsos <- rsod <- rsodt <- 0.0
+    rddt <- rsdt <- rdot <- rsost <- rsot <- rsoil
+    alfast <- alfadt <- 0 * rsoil
+  } else if (lai > 0) {
+    cts <- cos(rd * tts)
+    cto <- cos(rd * tto)
+    ctscto <- cts * cto
+    tants <- tan(rd * tts)
+    tanto <- tan(rd * tto)
+    cospsi <- cos(rd * psi)
+    dso <- sqrt(tants * tants + tanto * tanto - 2.0 * tants * tanto * cospsi)
+
+    # Clumping effects
+    cs <- co <- 1.0
+    if (cv <= 1.0) {
+      cs <- 1.0 - (1.0 - cv)^(1.0 / cts)
+      co <- 1.0 - (1.0 - cv)^(1.0 / cto)
+    }
+    overlap <- 0.0
+    if (zeta > 0.0) {
+      overlap <- min(cs * (1.0 - co), co * (1.0 - cs)) * exp(-dso / zeta)
+    }
+    fcd <- cs * co + overlap
+    fcs <- (1.0 - cs) * co - overlap
+    fod <- cs * (1.0 - co) - overlap
+    fos <- (1.0 - cs) * (1.0 - co) + overlap
+    fcdc <- 1.0 - (1.0 - fcd)^(0.5 / cts + 0.5 / cto)
+
+    #	Part depending on diss,  fraction_brown,  and leaf optical properties
+    #	First save the input fraction_brown as the old fraction_brown,  as the following change is only artificial
+    # Better define an fraction_brown that is actually used: fb,  so that the input is not modified!
+
+    fb <- fraction_brown
+    # if only green leaves
+    if (fraction_brown == 0.0) {
+      fb <- 0.5
+      leafbrown$Reflectance <- leafgreen$Reflectance
+      leafbrown$Transmittance <- leafgreen$Transmittance
+    }
+    if (fraction_brown == 1.0) {
+      fb <- 0.5
+      leafgreen$Reflectance <- leafbrown$Reflectance
+      leafgreen$Transmittance <- leafbrown$Transmittance
+    }
+    s <- (1.0 - diss) * fb * (1.0 - fb)
+    # rho1 && tau1 : green foliage
+    # rho2 && tau2 : brown foliage (bottom layer)
+    rho1 <- ((1 - fb - s) * leafgreen$Reflectance + s * leafbrown$Reflectance) / (1 - fb)
+    tau1 <- ((1 - fb - s) * leafgreen$Transmittance + s * leafbrown$Transmittance) / (1 - fb)
+    rho2 <- (s * leafgreen$Reflectance + (fb - s) * leafbrown$Reflectance) / fb
+    tau2 <- (s * leafgreen$Transmittance + (fb - s) * leafbrown$Transmittance) / fb
+
+    # angular distance,  compensation of shadow length
+    #	Calculate geometric factors associated with extinction and scattering
+    #	Initialise sums
+    ks <- ko <- bf <- sob <- sof <- 0
+
+    # Weighted sums over LIDF
+
+    for (i in 1:seq_along(litab)) {
+      ttl <- litab[i]
+      ctl <- cos(rd * ttl)
+      # SAIL volscatt function gives interception coefficients
+      # and two portions of the volume scattering phase function to be
+      # multiplied by rho and tau,  respectively
+      resvolscatt <- volscatt(tts, tto, psi, ttl)
+      chi_s <- resvolscatt$chi_s
+      chi_o <- resvolscatt$chi_o
+      frho <- resvolscatt$frho
+      ftau <- resvolscatt$ftau
+      # Extinction coefficients
+      ksli <- chi_s / cts
+      koli <- chi_o / cto
+      # Area scattering coefficient fractions
+      sobli <- frho * pi / ctscto
+      sofli <- ftau * pi / ctscto
+      bfli <- ctl * ctl
+      ks <- ks + ksli * lidf[i]
+      ko <- ko + koli * lidf[i]
+      bf <- bf + bfli * lidf[i]
+      sob <- sob + sobli * lidf[i]
+      sof <- sof + sofli * lidf[i]
+    }
+    # Geometric factors to be used later in combination with rho and tau
+    sdb <- 0.5 * (ks + bf)
+    sdf <- 0.5 * (ks - bf)
+    dob <- 0.5 * (ko + bf)
+    dof <- 0.5 * (ko - bf)
+    ddb <- 0.5 * (1. + bf)
+    ddf <- 0.5 * (1. - bf)
+
+    # LAIs in two layers
+    lai1 <- (1 - fb) * lai
+    lai2 <- fb * lai
+
+    tss <- exp(-ks * lai)
+    ck <- exp(-ks * lai1)
+    alf <- 1e6
+    if (hot > 0.0) {
+      alf <- (dso / hot) * 2.0 / (ks + ko)
+    }
+    if (alf > 200.0) {
+      alf <- 200.0     # inserted H. Bach 1 / 3 / 04
+    }
+    if (alf == 0.0) {
+      # The pure hotspot
+      tsstoo <- tss
+      s1 <- (1 - ck) / (ks * lai)
+      s2 <- (ck - tss) / (ks * lai)
+    } else {
+      # Outside the hotspot
+      fhot <- lai * sqrt(ko * ks)
+      # Integrate 2 layers by exponential simpson method in 20 steps
+      # the steps are arranged according to equal partitioning
+      # of the derivative of the joint probability function
+      x1 <- y1 <- 0.0
+      f1 <- 1.0
+      ca <- exp(alf * (fb - 1.0))
+      fint <- (1.0 - ca) * .05
+      s1 <- 0.0
+      for (istep in 1:20) {
+        if (istep < 20) {
+          x2 <- -log(1. - istep * fint) / alf
+        } else {
+          x2 <- 1. - fb
+        }
+        y2 <- -(ko + ks) * lai * x2 + fhot * (1.0 - exp(-alf * x2)) / alf
+        f2 <- exp(y2)
+        s1 <- s1 + (f2 - f1) * (x2 - x1) / (y2 - y1)
+        x1 <- x2
+        y1 <- y2
+        f1 <- f2
+      }
+      fint <- (ca - exp(-alf)) * .05
+      s2 <- 0.0
+      for (istep in 1:20) {
+        if (istep < 20) {
+          x2 <- -log(ca - istep * fint) / alf
+        } else {
+          x2 <- 1.0
+        }
+        y2 <- -(ko + ks) * lai * x2 + fhot * (1.0 - exp(-alf * x2)) / alf
+        f2 <- exp(y2)
+        s2 <- s2 + (f2 - f1) * (x2 - x1) / (y2 - y1)
+        x1 <- x2
+        y1 <- y2
+        f1 <- f2
+      }
+      tsstoo <- f1
+    }
+
+    # Calculate reflectances and transmittances
+    # Bottom layer
+    tss <- exp(-ks * lai2)
+    too <- exp(-ko * lai2)
+    sb <- sdb * rho2 + sdf * tau2
+    sf <- sdf * rho2 + sdb * tau2
+
+    vb <- dob * rho2 + dof * tau2
+    vf <- dof * rho2 + dob * tau2
+
+    w2 <- sob * rho2 + sof * tau2
+
+    sigb <- ddb * rho2 + ddf * tau2
+    sigf <- ddf * rho2 + ddb * tau2
+    att <- 1.0 - sigf
+    m2 <- (att + sigb) * (att - sigb)
+    m2[m2 < 0] <- 0
+    m <- sqrt(m2)
+    which_ncs <- which(m > 0.01)
+    which_cs <- which(m <= 0.01)
+
+    tdd <- rdd <- tsd <- rsd <- tdo <- rdo <- 0 * m
+    rsod <- 0 * m
+    if (length(which_ncs) > 0) {
+      resncs <- nonconservativescattering(m[which_ncs], lai2, att[which_ncs], sigb[which_ncs],
+                                          ks, ko, sf[which_ncs], sb[which_ncs], vf[which_ncs], vb[which_ncs], tss, too)
+      tdd[which_ncs] <- resncs$tdd
+      rdd[which_ncs] <- resncs$rdd
+      tsd[which_ncs] <- resncs$tsd
+      rsd[which_ncs] <- resncs$rsd
+      tdo[which_ncs] <- resncs$tdo
+      rdo[which_ncs] <- resncs$rdo
+      rsod[which_ncs] <- resncs$rsod
+    }
+    if (length(which_cs) > 0) {
+      rescs <- conservativescattering(m[which_cs], lai2, att[which_cs], sigb[which_cs],
+                                      ks, ko, sf[which_cs], sb[which_cs], vf[which_cs], vb[which_cs], tss, too)
+      tdd[which_cs] <- rescs$tdd
+      rdd[which_cs] <- rescs$rdd
+      tsd[which_cs] <- rescs$tsd
+      rsd[which_cs] <- rescs$rsd
+      tdo[which_cs] <- rescs$tdo
+      rdo[which_cs] <- rescs$rdo
+      rsod[which_cs] <- rescs$rsod
+    }
+
+    # Set background properties equal to those of the bottom layer on a black soil
+    rddb <- rdd
+    rsdb <- rsd
+    rdob <- rdo
+    rsodb <- rsod
+    tddb <- tdd
+    tsdb <- tsd
+    tdob <- tdo
+    toob <- too
+    tssb <- tss
+    # Top layer
+    tss <- exp(-ks * lai1)
+    too <- exp(-ko * lai1)
+
+    sb <- sdb * rho1 + sdf * tau1
+    sf <- sdf * rho1 + sdb * tau1
+
+    vb <- dob * rho1 + dof * tau1
+    vf <- dof * rho1 + dob * tau1
+
+    w1 <- sob * rho1 + sof * tau1
+
+    sigb <- ddb * rho1 + ddf * tau1
+    sigf <- ddf * rho1 + ddb * tau1
+    att <- 1.0 - sigf
+
+    m2 <- (att + sigb) * (att - sigb)
+    m2[m2 < 0] <- 0
+    m <- sqrt(m2)
+    which_ncs <- which(m > 0.01)
+    which_cs <- which(m <= 0.01)
+
+    tdd <- rdd <- tsd <- rsd <- tdo <- rdo <- 0 * m
+    rsod <- 0 * m
+    if (length(which_ncs) > 0) {
+      resncs <- nonconservativescattering(m[which_ncs], lai1, att[which_ncs], sigb[which_ncs],
+                                          ks, ko, sf[which_ncs], sb[which_ncs], vf[which_ncs], vb[which_ncs], tss, too)
+      tdd[which_ncs] <- resncs$tdd
+      rdd[which_ncs] <- resncs$rdd
+      tsd[which_ncs] <- resncs$tsd
+      rsd[which_ncs] <- resncs$rsd
+      tdo[which_ncs] <- resncs$tdo
+      rdo[which_ncs] <- resncs$rdo
+      rsod[which_ncs] <- resncs$rsod
+    }
+    if (length(which_cs) > 0) {
+      rescs <- conservativescattering(m[which_cs], lai1, att[which_cs], sigb[which_cs],
+                                      ks, ko, sf[which_cs], sb[which_cs], vf[which_cs], vb[which_cs], tss, too)
+      tdd[which_cs] <- rescs$tdd
+      rdd[which_cs] <- rescs$rdd
+      tsd[which_cs] <- rescs$tsd
+      rsd[which_cs] <- rescs$rsd
+      tdo[which_cs] <- rescs$tdo
+      rdo[which_cs] <- rescs$rdo
+      rsod[which_cs] <- rescs$rsod
+    }
+
+    # combine with bottom layer reflectances and transmittances (adding method)
+    rn <- 1.0 - rdd * rddb
+    tup <- (tss * rsdb + tsd * rddb) / rn
+    tdn <- (tsd + tss * rsdb * rdd) / rn
+    rsdt <- rsd + tup * tdd
+    rdot <- rdo + tdd * (rddb * tdo + rdob * too) / rn
+    rsodt <- rsod + (tss * rsodb + tdn * rdob) * too + tup * tdo
+
+    rsost <- (w1 * s1 + w2 * s2) * lai
+
+    rsot <- rsost + rsodt
+
+    # Diffuse reflectances at the top and the bottom are now different
+    rddt_t <- rdd + tdd * rddb * tdd / rn
+    rddt_b <- rddb + tddb * rdd * tddb / rn
+
+    # Transmittances of the combined canopy layers
+    tsst <- tss * tssb
+    toot <- too * toob
+    tsdt <- tss * tsdb + tdn * tddb
+    tdot <- tdob * too + tddb * (tdo + rdd * rdob * too) / rn
+    tddt <- tdd * tddb / rn
+
+    # Apply clumping effects to vegetation layer
+    rddcb <- cv * rddt_b
+    rddct <- cv * rddt_t
+    tddc <- 1 - cv + cv * tddt
+    rsdc <- cs * rsdt
+    tsdc <- cs * tsdt
+    rdoc <- co * rdot
+    tdoc <- co * tdot
+    tssc <- 1 - cs + cs * tsst
+    tooc <- 1 - co + co * toot
+
+    # new weight function fcdc for crown contribution (W. Verhoef,  22-05-08)
+    rsoc <- fcdc * rsot
+    tssooc <- fcd * tsstoo + fcs * toot + fod * tsst + fos
+    # Canopy absorptance for black background (W. Verhoef,  02-03-04)
+    alfas <- 1. - tssc - tsdc - rsdc
+    alfad <- 1. - tddc - rddct
+    # Add the soil background
+    rn <- 1 - rddcb * rddsoil
+    tup <- (tssc * rsdsoil + tsdc * rddsoil) / rn
+    tdn <- (tsdc + tssc * rsdsoil * rddcb) / rn
+
+    rddt <- rddct + tddc * rddsoil * tddc / rn
+    rsdt <- rsdc + tup * tddc
+    rdot <- rdoc + tddc * (rddsoil * tdoc + rdosoil * tooc) / rn
+    rsot <- rsoc + tssooc * rsosoil + tdn * rdosoil * tooc + tup * tdoc
+
+    # Effect of soil background on canopy absorptances (W. Verhoef,  02-03-04)
+    alfast <- alfas + tup * alfad
+    alfadt <- alfad * (1. + tddc * rddsoil / rn)
+  }
+  my_list <- list("rdot" = rdot, "rsot" = rsot, "rddt" = rddt, "rsdt" = rsdt,
+                  "alfast" = alfast,  "alfadt" = alfadt)
+  return(my_list)
+}
+
+
+
+#" computes non conservative scattering conditions
+#" @param m numeric.
+#" @param lai numeric. Leaf Area Index
+#" @param att numeric.
+#" @param sigb numeric.
+#" @param ks numeric.
+#" @param ko numeric.
+#" @param sf numeric.
+#" @param sb numeric.
+#" @param vf numeric.
+#" @param vb numeric.
+#" @param tss numeric.
+#" @param too numeric.
+#"
+#" @return list. tdd,  rdd,  tsd,  rsd,  tdo,  rdo,  rsod
+#"
+#" @export
+nonconservativescattering <- function(m, lai, att, sigb, ks, ko, sf, sb, vf, vb, tss, too) {
+
+  e1 <- exp(-m * lai)
+  e2 <- e1 * e1
+  rinf <- (att - m) / sigb
+  rinf2 <- rinf * rinf
+  re <- rinf * e1
+  denom <- 1. - rinf2 * e2
+
+  j1ks <- jfunc1(ks, m, lai)
+  j2ks <- jfunc2(ks, m, lai)
+  j1ko <- jfunc1(ko, m, lai)
+  j2ko <- jfunc2(ko, m, lai)
+
+  ps <- (sf + sb * rinf) * j1ks
+  qs <- (sf * rinf + sb) * j2ks
+  pv <- (vf + vb * rinf) * j1ko
+  qv <- (vf * rinf + vb) * j2ko
+
+  tdd <- (1. - rinf2) * e1 / denom
+  rdd <- rinf * (1. - e2) / denom
+  tsd <- (ps - re * qs) / denom
+  rsd <- (qs - re * ps) / denom
+  tdo <- (pv - re * qv) / denom
+  rdo <- (qv - re * pv) / denom
+
+  z <- jfunc2(ks, ko, lai)
+  g1 <- (z - j1ks * too) / (ko + m)
+  g2 <- (z - j1ko * tss) / (ks + m)
+
+  tv1 <- (vf * rinf + vb) * g1
+  tv2 <- (vf + vb * rinf) * g2
+
+  t1 <- tv1 * (sf + sb * rinf)
+  t2 <- tv2 * (sf * rinf + sb)
+  t3 <- (rdo * qs + tdo * ps) * rinf
+
+  # Multiple scattering contribution to bidirectional canopy reflectance
+  rsod <- (t1 + t2 - t3) / (1. - rinf2)
+  my_list <- list("tdd" = tdd,  "rdd" = rdd,  "tsd" = tsd,
+                  "rsd" = rsd,  "tdo" = tdo,  "rdo" = rdo,
+                  "rsod" = rsod)
+  return(my_list)
+}
+
+#" computes conservative scattering conditions
+#" @param m numeric.
+#" @param lai numeric. Leaf Area Index
+#" @param att numeric.
+#" @param sigb numeric.
+#" @param ks numeric.
+#" @param ko numeric.
+#" @param sf numeric.
+#" @param sb numeric.
+#" @param vf numeric.
+#" @param vb numeric.
+#" @param tss numeric.
+#" @param too numeric.
+#"
+#" @return list. tdd,  rdd,  tsd,  rsd,  tdo,  rdo,  rsod
+#"
+#" @export
+conservativescattering <- function(m, lai, att, sigb, ks, ko, sf, sb, vf, vb, tss, too) {
+
+  # near or complete conservative scattering
+  j4 <- jfunc4(m, lai)
+  amsig <- att - sigb
+  apsig <- att + sigb
+  rtp <- (1 - amsig * j4) / (1 + amsig * j4)
+  rtm <- (-1 + apsig * j4) / (1 + apsig * j4)
+  rdd <- 0.5 * (rtp + rtm)
+  tdd <- 0.5 * (rtp - rtm)
+
+  dns <- ks * ks - m * m
+  dno <- ko * ko - m * m
+  cks <- (sb * (ks - att) - sf * sigb) / dns
+  cko <- (vb * (ko - att) - vf * sigb) / dno
+  dks <- (-sf * (ks + att) - sb * sigb) / dns
+  dko <- (-vf * (ko + att) - vb * sigb) / dno
+  ho <- (sf * cko + sb * dko) / (ko + ks)
+
+  rsd <- cks * (1 - tss * tdd) - dks * rdd
+  rdo <- cko * (1 - too * tdd) - dko * rdd
+  tsd <- dks * (tss - tdd) - cks * tss * rdd
+  tdo <- dko * (too - tdd) - cko * too * rdd
+  # Multiple scattering contribution to bidirectional canopy reflectance
+  rsod <- ho * (1 - tss * too) - cko * tsd * too - dko * rsd
+
+  my_list <- list("tdd" = tdd,  "rdd" = rdd,  "tsd" = tsd,
+                  "rsd" = rsd,  "tdo" = tdo,  "rdo" = rdo,
+                  "rsod" = rsod)
+  return(my_list)
+}
+
+
+
+
+
+
+#" computes the leaf angle distribution function value (freq)
+#"
+#" Ellipsoidal distribution function characterised by the average leaf
+#" inclination angle in degree (ala)
+#" Campbell 1986
+#" @param ala average leaf angle
+#" @return foliar_distrib list. lidf and litab
+#" @export
+campbell  <- function(ala) {
+
+  tx1 <- c(10., 20., 30., 40., 50., 60., 70., 80., 82., 84., 86., 88., 90.)
+  tx2 <- c(0., 10., 20., 30., 40., 50., 60., 70., 80., 82., 84., 86., 88.)
+  litab <- (tx2 + tx1) / 2
+  n <- length(litab)
+  tl1 <- tx1 * (pi / 180)
+  tl2 <- tx2 * (pi / 180)
+  excent <- exp(-1.6184e-5 * ala**3 + 2.1145e-3 * ala**2 - 1.2390e-1 * ala + 3.2491)
+  sum0 <- 0
+
+  freq <- c()
+  for (i in 1:n) {
+    x1 <- excent / (sqrt(1. + excent**2. * tan(tl1[i])**2))
+    x2 <- excent / (sqrt(1. + excent**2. * tan(tl2[i])**2))
+    if (excent == 1) {
+      freq[i] <- abs(cos(tl1[i]) - cos(tl2[i]))
+    } else {
+      alpha <- excent / sqrt(abs(1 - excent**2))
+      alpha2 <- alpha**2
+      x12 <- x1**2
+      x22 <- x2**2
+      alpx1 <- 0 * alpha2
+      alpx2 <- 0 * alpha2
+      almx1 <- 0 * alpha2
+      almx2 <- 0 * alpha2
+      if (excent > 1) {
+        alpx1 <- sqrt(alpha2[excent > 1] + x12[excent > 1])
+        alpx2[excent > 1] <- sqrt(alpha2[excent > 1] + x22[excent > 1])
+        dum <- x1 * alpx1 + alpha2 * log(x1 + alpx1)
+        freq[i] <- abs(dum - (x2 * alpx2 + alpha2 * log(x2 + alpx2)))
+      } else {
+        almx1 <- sqrt(alpha2 - x12)
+        almx2 <- sqrt(alpha2 - x22)
+        dum <- x1 * almx1 + alpha2 * asin(x1 / alpha)
+        freq[i] <- abs(dum - (x2 * almx2 + alpha2 * asin(x2 / alpha)))
+      }
+    }
+  }
+  sum0 <- sum(freq)
+  freq0 <- freq / sum0
+  foliar_distrib <- list("lidf" = freq0, "litab" = litab)
+  return(foliar_distrib)
+}
+
+#" computes the leaf angle distribution function value (freq)
+#"
+#" Using the original bimodal distribution function initially proposed in SAIL
+#"  references
+#"  ----------
+#"  (Verhoef1998) Verhoef,  Wout. Theory of radiative transfer models applied
+#"  in optical remote sensing of vegetation canopies.
+#"  nationaal Lucht en Ruimtevaartlaboratorium,  1998.
+#"  http: /  / library.wur.nl / WebQuery / clc / 945481.
+#" @param a controls the average leaf slope
+#" @param b controls the distribution"s bimodality
+#" LIDF type 		  a 		b
+#" Planophile 	  1		  0
+#" Erectophile    -1	 	0
+#" Plagiophile 	  0		  -1
+#" Extremophile 	0		  1
+#" Spherical 	    -0.35 -0.15
+#" Uniform        0     0
+#" requirement: ||lidfa||  +  ||lidfb|| < 1
+#"
+#" @return foliar_distrib list. lidf and litab
+#" @export
+dladgen  <- function(a, b) {
+  litab <- c(5., 15., 25., 35., 45., 55., 65., 75., 81., 83., 85., 87., 89.)
+  freq <- c()
+  for (i1 in 1:8) {
+    t <- i1 * 10
+    freq[i1] <- dcum(a, b, t)
+  }
+  for (i2 in 9:12) {
+    t <- 80. + (i2 - 8) * 2.
+    freq[i2] <- dcum(a, b, t)
+  }
+  freq[13] <- 1
+  for (i in 13:2) {
+    freq[i] <- freq[i] - freq[i - 1]
+  }
+  foliar_distrib <- list("lidf" = freq, "litab" = litab)
+  return(foliar_distrib)
+}
+
+#" dcum function
+#" @param a numeric. controls the average leaf slope
+#" @param b numeric. controls the distribution"s bimodality
+#" @param t numeric. angle
+#" @return f
+#" @export
+dcum <- function(a, b, t) {
+  rd <- pi / 180
+  if (a >= 1) {
+    f <- 1 - cos(rd * t)
+  } else {
+    eps <- 1e-8
+    delx <- 1
+    x <- 2 * rd * t
+    p <- x
+    while (delx  >= eps) {
+      y <- a * sin(x) + .5 * b * sin(2. * x)
+      dx <- .5 * (y - x + p)
+      x <- x + dx
+      delx <- abs(dx)
+    }
+    f <- (2. * y + p) / pi
+  }
+  return(f)
+}
+
+#" J1 function with avoidance of singularity problem
+#"
+#" @param k numeric. Extinction coefficient for direct (solar or observer) flux
+#" @param l numeric.
+#" @param t numeric. Leaf Area Index
+#" @return jout numeric.
+#" @export
+jfunc1 <- function(k, l, t) {
+  # J1 function with avoidance of singularity problem
+  del <- (k - l) * t
+  jout <- 0 * l
+  jout[which(abs(del) > 1e-3)] <- (exp(-l[which(abs(del) > 1e-3)] * t) - exp(-k * t)) / (k - l[which(abs(del) > 1e-3)])
+  jout[which(abs(del) <= 1e-3)] <- 0.5 * t * (exp(-k * t) + exp(-l[which(abs(del) <= 1e-3)] * t)) * (1 - del[which(abs(del) <= 1e-3)] * del[which(abs(del) <= 1e-3)] / 12)
+  return(jout)
+}
+
+#" J2 function with avoidance of singularity problem
+#"
+#" @param k numeric. Extinction coefficient for direct (solar or observer) flux
+#" @param l numeric.
+#" @param t numeric. Leaf Area Index
+#" @return jout numeric.
+#" @export
+jfunc2 <- function(k, l, t) {
+  #	J2 function
+  jout <- (1. - exp(-(k + l) * t)) / (k + l)
+  return(jout)
+}
+
+#" J3 function with avoidance of singularity problem
+#"
+#" @param k numeric. Extinction coefficient for direct (solar or observer) flux
+#" @param l numeric.
+#" @param t numeric. Leaf Area Index
+#" @return jout numeric.
+#" @export
+jfunc3 <- function(k, l, t) {
+  out <- (1. - exp(-(k + l) * t)) / (k + l)
+  return(out)
+}
+
+
+#" j4 function for treating (near) conservative scattering
+#"
+#" @param m numeric. Extinction coefficient for direct (solar or observer) flux
+#" @param t numeric. Leaf Area Index
+#" @return jout numeric.
+#" @export
+jfunc4 <- function(m, t) {
+
+  del <- m * t
+  out <- 0 * del
+  out[del > 1e-3] <- (1 - exp(-del)) / (m * (1 + exp(-del)))
+  out[del <= 1e-3] <- 0.5 * t * (1. - del * del / 12.)
+  return(out)
+}
+
+
+#" compute volume scattering functions and interception coefficients
+#" for given solar zenith,  viewing zenith,  azimuth and leaf inclination angle.
+#"
+#" @param tts numeric. solar zenith
+#" @param tto numeric. viewing zenith
+#" @param psi numeric. azimuth
+#" @param ttl numeric. leaf inclination angle
+#" @return res list. includes chi_s,  chi_o,  frho,  ftau
+#" @export
+volscatt  <- function(tts, tto, psi, ttl) {
+  #********************************************************************************
+  #*	chi_s	= interception functions
+  #*	chi_o	= interception functions
+  #*	frho	= function to be multiplied by leaf reflectance rho
+  #*	ftau	= functions to be multiplied by leaf transmittance tau
+  #********************************************************************************
+  #	Wout Verhoef,  april 2001,  for CROMA
+
+  rd <- pi / 180
+  costs <- cos(rd * tts)
+  costo <- cos(rd * tto)
+  sints <- sin(rd * tts)
+  sinto <- sin(rd * tto)
+  cospsi <- cos(rd * psi)
+  psir <- rd * psi
+  costl <- cos(rd * ttl)
+  sintl <- sin(rd * ttl)
+  cs <- costl * costs
+  co <- costl * costo
+  ss <- sintl * sints
+  so <- sintl * sinto
+
+  #c ..............................................................................
+  #c     betas -bts- and betao -bto- computation
+  #c     Transition angles (beta) for solar (betas) and view (betao) directions
+  #c     if thetav + thetal > pi / 2,  bottom side of the leaves is observed for leaf azimut
+  #c     interval betao + phi<leaf azimut<2pi-betao + phi.
+  #c     if thetav + thetal<pi / 2,  top side of the leaves is always observed,  betao=pi
+  #c     same consideration for solar direction to compute betas
+  #c ..............................................................................
+
+  cosbts <- 5
+  if (abs(ss) > 1e-6) {
+    cosbts <- -cs / ss
+  }
+  cosbto <- 5
+  if (abs(so) > 1e-6) {
+    cosbto <- -co / so
+  }
+
+  if (abs(cosbts) < 1) {
+    bts <- acos(cosbts)
+    ds <- ss
+  } else {
+    bts <- pi
+    ds <- cs
+  }
+  chi_s <- 2. / pi * ((bts - pi * .5) * cs + sin(bts) * ss)
+  if (abs(cosbto) < 1) {
+    bto <- acos(cosbto)
+    doo <- so
+  } else if (tto < 90) {
+    bto <- pi
+    doo <- co
+  } else {
+    bto <- 0
+    doo <- -co
+  }
+  chi_o <- 2. / pi * ((bto - pi * .5) * co + sin(bto) * so)
+
+  #c ..............................................................................
+  #c   computation of auxiliary azimut angles bt1,  bt2,  bt3 used
+  #c   for the computation of the bidirectional scattering coefficient w
+  #c .............................................................................
+
+  btran1 <- abs(bts - bto)
+  btran2 <- pi - abs(bts + bto - pi)
+
+  if (psir <= btran1) {
+    bt1 <- psir
+    bt2 <- btran1
+    bt3 <- btran2
+  } else {
+    bt1 <- btran1
+    if (psir <= btran2) {
+      bt2 <- psir
+      bt3 <- btran2
+    } else {
+      bt2 <- btran2
+      bt3 <- psir
+    }
+  }
+  t1 <- 2. * cs * co + ss * so * cospsi
+  t2 <- 0
+  if (bt2 > 0) {
+    t2 <- sin(bt2) * (2. * ds * doo + ss * so * cos(bt1) * cos(bt3))
+  }
+
+  denom <- 2. * pi * pi
+  frho <- ((pi - bt2) * t1 + t2) / denom
+  ftau <- (-bt2 * t1 + t2) / denom
+
+  if (frho < 0) {
+    frho <- 0
+  }
+  if (ftau < 0) {
+    ftau <- 0
+  }
+  res <- list("chi_s" = chi_s, "chi_o" = chi_o, "frho" = frho, "ftau" = ftau)
+  return(res)
+}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/prosail-master/R/Lib_PROSAIL_HybridInversion.R	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,554 @@
+# ============================================================================= =
+# prosail
+# Lib_PROSAIL_HybridInversion.R
+# ============================================================================= =
+# PROGRAMMERS:
+# Jean-Baptiste FERET <jb.feret@teledetection.fr>
+# Florian de BOISSIEU <fdeboiss@gmail.com>
+# Copyright 2019 / 11 Jean-Baptiste FERET
+# ============================================================================= =
+# This Library includes functions dedicated to PROSAIL inversion using hybrid
+# approach based on SVM regression
+# ============================================================================= =
+
+
+#" This function applies SVR model on raster data in order to estimate
+#" vegetation biophysical properties
+#"
+#" @param raster_path character. path for a raster file
+#" @param hybridmodel list. hybrid models produced from train_prosail_inversion
+#" each element of the list corresponds to a set of hybrid models for a vegetation parameter
+#" @param pathout character. path for directory where results are written
+#" @param selectedbands list. list of spectral bands to be selected from raster (identified by name of vegetation parameter)
+#" @param bandname character. spectral bands corresponding to the raster
+#" @param maskraster character. path for binary mask defining ON (1) and OFF (0) pixels in the raster
+#" @param multiplyingfactor numeric. multiplying factor used to write reflectance in the raster
+#" --> PROSAIL simulates reflectance between 0 and 1,  and raster data expected in the same range
+#"
+#" @return None
+#" @importFrom progress progress_bar
+#" @importFrom stars read_stars
+#" @importFrom raster raster brick blockSize readStart readStop getValues writeStart writeStop writeValues
+#" @import rgdal
+#" @export
+apply_prosail_inversion <- function(raster_path,  hybridmodel,  pathout,
+                                    selectedbands,  bandname,
+                                    maskraster = FALSE, multiplyingfactor = 10000) {
+
+  # explain which biophysical variables will be computed
+  bpvar <- names(hybridmodel)
+  print("The following biophysical variables will be computed")
+  print(bpvar)
+
+  # get image dimensions
+  if (attr(rgdal::GDALinfo(raster_path, returnStats = FALSE),  "driver") == "ENVI") {
+    hdr <- read_envi_header(get_hdr_name(raster_path))
+    dimsraster <- list("rows" = hdr$lines, "cols" = hdr$samples, "bands" = hdr$bands)
+  } else {
+    dimsraster <- dim(read_stars(raster_path))
+    dimsraster <- list("rows" = as.numeric(dimsraster[2]), "cols" = as.numeric(dimsraster[1]), "bands" = as.numeric(dimsraster[3]))
+  }
+
+  # Produce a map for each biophysical property
+  for (parm in bpvar) {
+    print(paste("Computing", parm, sep = " "))
+    # read by chunk to avoid memory problem
+    blk <- blockSize(brick(raster_path))
+    # reflectance file
+    r_in <- readStart(brick(raster_path))
+    # mask file
+    r_inmask <- FALSE
+    if (maskraster == FALSE) {
+      selectpixels <- "ALL"
+    } else if (!maskraster == FALSE) {
+      if (file.exists(maskraster)) {
+        r_inmask <- readStart(raster(maskraster))
+      } else if (!file.exists(maskraster)) {
+        message("WARNING: Mask file does not exist:")
+        print(maskraster)
+        message("Processing all image")
+        selectpixels <- "ALL"
+      }
+    }
+    # initiate progress bar
+    pgbarlength <- length(hybridmodel[[parm]]) * blk$n
+    pb <- progress_bar$new(
+      format = "Hybrid inversion on raster [:bar] :percent in :elapsedfull, estimated time remaining :eta",
+      total = pgbarlength,  clear = FALSE,  width = 100)
+
+    # output files
+    bpvarpath <- file.path(pathout, paste(basename(raster_path), parm, sep = "_"))
+    bpvarsdpath <- file.path(pathout, paste(basename(raster_path), parm, "STD", sep = "_"))
+    r_outmean <- writeStart(raster(raster_path),  filename = bpvarpath, format = "ENVI",  overwrite = TRUE)
+    r_outsd <- writeStart(raster(raster_path),  filename = bpvarsdpath, format = "ENVI",  overwrite = TRUE)
+    selbands <- match(selectedbands[[parm]], bandname)
+
+    # loop over blocks
+    for (i in seq_along(blk$row)) {
+      # read values for block
+      # format is a matrix with rows the cells values and columns the layers
+      blockval <- getValues(r_in,  row = blk$row[i],  nrows = blk$nrows[i])
+      fulllength <- dim(blockval)[1]
+
+      if (typeof(r_inmask) == "logical") {
+        blockval <- blockval[, selbands]
+        # automatically filter pixels corresponding to negative values
+        selectpixels <- which(blockval[, 1] > 0)
+        blockval <- blockval[selectpixels, ]
+      } else if (typeof(r_inmask) == "S4") {
+        maskval <- getValues(r_inmask,  row = blk$row[i],  nrows = blk$nrows[i])
+        selectpixels <- which(maskval  == 1)
+        blockval <- blockval[selectpixels, selbands]
+      }
+      mean_estimatefull <- NA * vector(length = fulllength)
+      std_estimatefull <- NA * vector(length = fulllength)
+      if (length(selectpixels) > 0) {
+        blockval <- blockval / multiplyingfactor
+        modelsvr_estimate <- list()
+        for (modind in 1:seq_along(hybridmodel[[parm]])) {
+          pb$tick()
+          modelsvr_estimate[[modind]] <- predict(hybridmodel[[parm]][[modind]],  blockval)
+        }
+        modelsvr_estimate <- do.call(cbind, modelsvr_estimate)
+        # final estimated value = mean parm value for all models
+        mean_estimate <- rowMeans(modelsvr_estimate)
+        # "uncertainty" = STD value for all models
+        std_estimate <- rowSds(modelsvr_estimate)
+        mean_estimatefull[selectpixels] <- mean_estimate
+        std_estimatefull[selectpixels] <- std_estimate
+      } else {
+        for (modind in 1:seq_along(hybridmodel[[parm]])) {
+          pb$tick()
+        }
+      }
+      r_outmean <- writeValues(r_outmean,  mean_estimatefull,  blk$row[i], format = "ENVI",  overwrite = TRUE)
+      r_outsd <- writeValues(r_outsd,  std_estimatefull,  blk$row[i], format = "ENVI",  overwrite = TRUE)
+    }
+    # close files
+    r_in <- readStop(r_in)
+    if (typeof(r_inmask) == "S4") {
+      r_inmask <- readStop(r_inmask)
+    }
+    r_outmean <- writeStop(r_outmean)
+    r_outsd <- writeStop(r_outsd)
+    # write biophysical variable name in headers
+    hdr <- read_envi_header(get_hdr_name(bpvarpath))
+    hdr$`band names` <- paste("{", parm, "}", sep = "")
+    write_envi_header(hdr,  get_hdr_name(bpvarpath))
+  }
+  print("processing completed")
+  return(invisible())
+}
+
+#" get hdr name from image file name,  assuming it is BIL format
+#"
+#" @param impath path of the image
+#"
+#" @return corresponding hdr
+#" @importFrom tools file_ext file_path_sans_ext
+#" @export
+get_hdr_name <- function(impath) {
+  if (tools::file_ext(impath)  ==  "") {
+    impathhdr <- paste(impath,  ".hdr",  sep = "")
+  } else if (tools::file_ext(impath)  ==  "bil") {
+    impathhdr <- gsub(".bil",  ".hdr",  impath)
+  } else if (tools::file_ext(impath)  ==  "zip") {
+    impathhdr <- gsub(".zip",  ".hdr",  impath)
+  } else {
+    impathhdr <- paste(tools::file_path_sans_ext(impath),  ".hdr",  sep = "")
+  }
+
+  if (!file.exists(impathhdr)) {
+    message("WARNING : COULD NOT FIND hdr FILE")
+    print(impathhdr)
+    message("Process may stop")
+  }
+  return(impathhdr)
+}
+
+#" This function applies the regression models trained with prosail_hybrid_train
+#"
+#" @param regressionmodels list. List of regression models produced by prosail_hybrid_train
+#" @param refl numeric. LUT of bidirectional reflectances factors used for training
+#"
+#" @return hybridres list. Estimated values corresponding to refl. Includes
+#" - meanestimate = mean value for the ensemble regression model
+#" - stdestimate = std value for the ensemble regression model
+#" @importFrom stats predict
+#" @importFrom matrixStats rowSds
+#" @importFrom progress progress_bar
+#" @export
+
+prosail_hybrid_apply <- function(regressionmodels, refl) {
+
+  # make sure refl is right dimensions
+  refl <- t(refl)
+  nbfeatures <- regressionmodels[[1]]$dim
+  if (!ncol(refl) == nbfeatures && nrow(refl) == nbfeatures) {
+    refl <- t(refl)
+  }
+  nbensemble <- length(regressionmodels)
+  estimatedval <- list()
+  pb <- progress_bar$new(
+    format = "Applying SVR models [:bar] :percent in :elapsed",
+    total = nbensemble,  clear = FALSE,  width = 100)
+  for (i in 1:nbensemble) {
+    pb$tick()
+    estimatedval[[i]] <- predict(regressionmodels[[i]],  refl)
+  }
+  estimatedval <- do.call(cbind, estimatedval)
+  meanestimate <- rowMeans(estimatedval)
+  stdestimate <- rowSds(estimatedval)
+  hybridres <- list("meanestimate" = meanestimate, "stdestimate" = stdestimate)
+  return(hybridres)
+}
+
+#" This function trains a suppot vector regression for a set of variables based on spectral data
+#"
+#" @param brf_lut numeric. LUT of bidirectional reflectances factors used for training
+#" @param inputvar numeric. biophysical parameter corresponding to the reflectance
+#" @param figplot Boolean. Set to TRUE if you want a scatterplot
+#" @param nbensemble numeric. Number of individual subsets should be generated from brf_lut
+#" @param withreplacement Boolean. should subsets be generated with or without replacement?
+#"
+#" @return modelssvr list. regression models trained for the retrieval of inputvar based on brf_lut
+#" @importFrom liquidSVM svmRegression
+#" @importFrom stats predict
+#" @importFrom progress progress_bar
+#" @importFrom graphics par
+#" @importFrom expandFunctions reset.warnings
+#" @importFrom stringr str_split
+#" @importFrom simsalapar tryCatch.W.E
+#" @import dplyr
+#" @import ggplot2
+# @" @import caret
+#" @export
+
+prosail_hybrid_train <- function(brf_lut, inputvar, figplot = FALSE, nbensemble = 20, withreplacement = FALSE) {
+
+  x <- y <- ymean <- ystdmin <- ystdmax <- NULL
+  # split the LUT into nbensemble subsets
+  nbsamples <- length(inputvar)
+  if (dim(brf_lut)[2] == nbsamples) {
+    brf_lut <- t(brf_lut)
+  }
+
+  # if subsets are generated from brf_lut with replacement
+  if (withreplacement == TRUE) {
+    subsets <- list()
+    samples_per_run <- round(nbsamples / nbensemble)
+    for (run in (1:nbensemble)) {
+      subsets[[run]] <- sample(seq(1, nbsamples),  samples_per_run,  replace = TRUE)
+    }
+  # if subsets are generated from brf_lut without replacement
+  } else if (withreplacement == FALSE) {
+    subsets <- split(sample(seq(1, nbsamples, by = 1)), seq(1, nbensemble, by = 1))
+  }
+
+  # run training for each subset
+  modelssvr <- list()
+  predictedyall <- list()
+  tunedmodelyall <- list()
+  pb <- progress_bar$new(
+    format = "Training SVR on subsets [:bar] :percent in :elapsed",
+    total = nbensemble,  clear = FALSE,  width = 100)
+  for (i in 1:nbensemble) {
+    pb$tick()
+    Sys.sleep(1  /  100)
+    trainingset <- list()
+    trainingset$X <- brf_lut[subsets[i][[1]], ]
+    trainingset$Y <- inputvar[subsets[i][[1]]]
+    # liquidSVM
+    r1 <- tryCatch.W.E(tunedmodel <- liquidSVM::svmRegression(trainingset$X,  trainingset$Y))
+    if (!is.null(r1$warning)) {
+      msg <- r1$warning$message
+      valgamma <- str_split(string = msg, pattern = "gamma=")[[1]][2]
+      vallambda <- str_split(string = msg, pattern = "lambda=")[[1]][2]
+      if (!is.na(as.numeric(valgamma))) {
+        message("Adjusting Gamma accordingly")
+        valgamma <- as.numeric(valgamma)
+        tunedmodel <- liquidSVM::svmRegression(trainingset$X,  trainingset$Y, min_gamma = valgamma)
+      }
+      if (!is.na(as.numeric(vallambda))) {
+        message("Adjusting Lambda accordingly")
+        vallambda <- as.numeric(vallambda)
+        tunedmodel <- liquidSVM::svmRegression(trainingset$X,  trainingset$Y, min_lambda = vallambda)
+      }
+    }
+    modelssvr[[i]] <- tunedmodel
+  }
+
+  # if scatterplots needed
+  if (figplot == TRUE) {
+    # predict for full brf_lut
+    for (i in 1:nbensemble) {
+      tunedmodely <- stats::predict(modelssvr[[i]],  brf_lut)
+      tunedmodelyall <- cbind(tunedmodelyall, matrix(tunedmodely, ncol = 1))
+    }
+    # plot prediction
+    df <- data.frame(x = rep(1:nbsamples, nbensemble),  y = as.numeric(matrix(tunedmodelyall, ncol = 1)))
+    df_summary <- df %>%
+     dplyr::group_by(x) %>%
+      summarize(ymin = min(y), ystdmin = mean(y) - sd(y),
+                 ymax = max(y), ystdmax = mean(y) + sd(y),
+                 ymean = mean(y))
+    par(mar = rep(.1,  4))
+    p <- ggplot(df_summary,  aes(x = inputvar,  y = ymean))  +
+      geom_point(size = 2)  +
+      geom_errorbar(aes(ymin = ystdmin,  ymax = ystdmax))
+    meanpredict <- rowMeans(matrix(as.numeric(tunedmodelyall), ncol = nbensemble))
+    print(p)
+  }
+  return(modelssvr)
+}
+
+#" Reads ENVI hdr file
+#"
+#" @param hdrpath Path of the hdr file
+#"
+#" @return list of the content of the hdr file
+#" @export
+read_envi_header <- function(hdrpath) {
+  if (!grepl(".hdr$",  hdrpath)) {
+    stop("File extension should be .hdr")
+  }
+  hdr <- readLines(hdrpath)
+  ## check ENVI at beginning of file
+  if (!grepl("ENVI",  hdr[1])) {
+    stop("Not an ENVI header (ENVI keyword missing)")
+  } else {
+    hdr <- hdr [-1]
+  }
+  ## remove curly braces and put multi-line key-value-pairs into one line
+  hdr <- gsub("\\{([^}]*)\\}",  "\\1",  hdr)
+  l <- grep("\\{",  hdr)
+  r <- grep("\\}",  hdr)
+
+  if (length(l) != length(r)) {
+    stop("Error matching curly braces in header (differing numbers).")
+  }
+
+  if (any(r <= l)) {
+    stop("Mismatch of curly braces in header.")
+  }
+
+  hdr[l] <- sub("\\{",  "",  hdr[l])
+  hdr[r] <- sub("\\}",  "",  hdr[r])
+
+  for (i in rev(seq_along(l))) {
+    hdr <- c(
+      hdr [seq_len(l [i] - 1)],
+      paste(hdr [l [i]:r [i]],  collapse = "\n"),
+      hdr [-seq_len(r [i])]
+    )
+  }
+
+  ## split key = value constructs into list with keys as names
+  hdr <- sapply(hdr,  split_line,  " = ",  USE.NAMES = FALSE)
+  names(hdr) <- tolower(names(hdr))
+
+  ## process numeric values
+  tmp <- names(hdr) %in% c(
+    "samples",  "lines",  "bands",  "header offset",  "data type",
+    "byte order",  "default bands",  "data ignore value",
+    "wavelength",  "fwhm",  "data gain values"
+  )
+  hdr [tmp] <- lapply(hdr [tmp],  function(x) {
+    as.numeric(unlist(strsplit(x,  ",")))
+  })
+
+  return(hdr)
+}
+
+#" ENVI functions
+#"
+#" based on https: /  / github.com / cran / hyperSpec / blob / master / R / read.ENVI.R
+#" added wavelength,  fwhm,  ... to header reading
+#" Title
+#"
+#" @param x character.
+#" @param separator character
+#" @param trim_blank  boolean.
+#"
+#" @return list.
+#" @export
+split_line <- function(x,  separator,  trim_blank  = TRUE) {
+  tmp <- regexpr(separator,  x)
+  key <- substr(x,  1,  tmp - 1)
+  value <- substr(x,  tmp  +  1,  nchar(x))
+  if (trim_blank) {
+    blank_pattern <- "^[[:blank:]]*([^[:blank:]] + .*[^[:blank:]] + )[[:blank:]]*$"
+    key <- sub(blank_pattern,  "\\1",  key)
+    value <- sub(blank_pattern,  "\\1",  value)
+  }
+  value <- as.list(value)
+  names(value) <- key
+  return(value)
+}
+
+#" This function performs full training for hybrid invrsion using SVR with
+#" values for default parameters
+#"
+#" @param minval list. minimum value for input parameters sampled to produce a training LUT
+#" @param maxval list. maximum value for input parameters sampled to produce a training LUT
+#" @param typedistrib  list. Type of distribution. Either "Uniform" or "Gaussian"
+#" @param gaussiandistrib  list. Mean value and STD corresponding to the parameters sampled with gaussian distribution
+#" @param parmset list. list of input parameters set to a specific value
+#" @param nbsamples numeric. number of samples in training LUT
+#" @param nbsamplesperrun numeric. number of training sample per individual regression model
+#" @param nbmodels numeric. number of individual models to be run for ensemble
+#" @param replacement bolean. is there replacement in subsampling?
+#" @param sailversion character. Either 4SAIL or 4SAIL2
+#" @param parms2estimate list. list of input parameters to be estimated
+#" @param bands2select list. list of bands used for regression for each input parameter
+#" @param noiselevel list. list of noise value added to reflectance (defined per input parm)
+#" @param specprospect list. Includes optical constants required for PROSPECT
+#" @param specsoil list. Includes either dry soil and wet soil,  or a unique soil sample if the psoil parameter is not inverted
+#" @param specatm list. Includes direct and diffuse radiation for clear conditions
+#" @param path_results character. path for results
+#" @param figplot boolean. Set TRUE to get scatterplot of estimated biophysical variable during training step
+#" @param force4lowlai boolean. Set TRUE to artificially reduce leaf chemical constituent content for low LAI
+#"
+#"
+#" @return modelssvr list. regression models trained for the retrieval of inputvar based on brf_lut
+#" @export
+
+train_prosail_inversion <- function(minval = NULL, maxval = NULL,
+                                    typedistrib = NULL, gaussiandistrib = NULL, parmset = NULL,
+                                    nbsamples = 2000, nbsamplesperrun = 100, nbmodels = 20, replacement = TRUE,
+                                    sailversion = "4SAIL",
+                                    parms2estimate = "lai", bands2select = NULL, noiselevel = NULL,
+                                    specprospect = NULL,  specsoil = NULL,  specatm = NULL,
+                                    path_results = "./", figplot = FALSE, force4lowlai = TRUE) {
+
+  ###===================================================================###
+  ###           1- PRODUCE A LUT TO TRAIN THE HYBRID INVERSION          ###
+  ###===================================================================###
+  # Define sensor characteristics
+  if (is.null(specprospect)) {
+    specprospect <- prosail::specprospect
+  }
+  if (is.null(specsoil)) {
+    specsoil <- prosail::specsoil
+  }
+  if (is.null(specprospect)) {
+    specatm <- prosail::specatm
+  }
+  # define distribution for parameters to be sampled
+  if (is.null(typedistrib)) {
+    typedistrib <- data.frame("CHL" = "Uniform",  "CAR" = "Uniform", "EWT" = "Uniform", "ANT" = "Uniform", "LMA" = "Uniform", "N" = "Uniform",  "BROWN" = "Uniform",
+                              "psoil" = "Uniform", "LIDFa" = "Uniform",  "lai" = "Uniform", "q" = "Uniform", "tto" = "Uniform", "tts" = "Uniform",  "psi" = "Uniform")
+  }
+  if (is.null(gaussiandistrib)) {
+    gaussiandistrib <- list("Mean" = NULL, "Std" = NULL)
+  }
+  if (is.null(minval)) {
+    minval <- data.frame("CHL" = 10, "CAR" = 0, "EWT" = 0.01, "ANT" = 0, "LMA" = 0.005, "N" = 1.0, "psoil" = 0.0,  "BROWN" = 0.0,
+                         "LIDFa" = 20,  "lai" = 0.5, "q" = 0.1, "tto" = 0, "tts" = 20,  "psi" = 80)
+  }
+  if (is.null(maxval)) {
+    maxval <- data.frame("CHL" = 75, "CAR" = 15, "EWT" = 0.03, "ANT" = 2, "LMA" = 0.03, "N" = 2.0,  "psoil" = 1.0,  "BROWN" = 0.5,
+                         "LIDFa" = 70,  "lai" = 7, "q" = 0.2, "tto" = 5, "tts" = 30,  "psi" = 110)
+  }
+  # define min and max values
+  # fixed parameters
+  if (is.null(parmset)) {
+    parmset <- data.frame("TypeLidf" = 2,  "alpha" = 40)
+  }
+  # produce input parameters distribution
+  if (sailversion == "4SAIL") {
+    inputprosail <- get_distribution_input_prosail(minval, maxval, parmset, nbsamples,
+                                                   typedistrib = typedistrib,
+                                                   Mean = gaussiandistrib$Mean, Std = gaussiandistrib$Std,
+                                                   force4lowlai = force4lowlai)
+  } else if (sailversion == "4SAIL2") {
+    inputprosail <- get_distribution_input_prosail2(minval, maxval, parmset, nbsamples,
+                                                    typedistrib = typedistrib,
+                                                    Mean = gaussiandistrib$Mean, Std = gaussiandistrib$Std,
+                                                    force4lowlai = force4lowlai)
+  }
+  if (sailversion == "4SAIL2") {
+    # Definition of Cv && update LAI
+    maxlai <- min(c(maxval$lai), 4)
+    inputprosail$Cv <- NA * inputprosail$lai
+    inputprosail$Cv[which(inputprosail$lai > maxlai)] <- 1
+    inputprosail$Cv[which(inputprosail$lai <= maxlai)] <- (1 / maxlai) + inputprosail$lai[which(inputprosail$lai <= maxlai)] / (maxlai + 1)
+    inputprosail$Cv <- inputprosail$Cv * matrix(rnorm(length(inputprosail$Cv), mean = 1, sd = 0.1))
+    inputprosail$Cv[which(inputprosail$Cv < 0)] <- 0
+    inputprosail$Cv[which(inputprosail$Cv > 1)] <- 1
+    inputprosail$Cv[which(inputprosail$lai > maxlai)] <- 1
+    inputprosail$fraction_brown <- 0 + 0 * inputprosail$lai
+    inputprosail$diss <- 0 + 0 * inputprosail$lai
+    inputprosail$Zeta <- 0.2 + 0 * inputprosail$lai
+    inputprosail$lai <- inputprosail$lai * inputprosail$Cv
+  }
+
+  # generate LUT of BRF corresponding to inputprosail,  for a sensor
+  brf_lut <- Generate_LUT_BRF(sailversion = sailversion, inputprosail = inputprosail,
+                              specprospect = specprospect, specsoil = specsoil, specatm = specatm)
+
+  # write parameters LUT
+  output <- matrix(unlist(inputprosail),  ncol = length(inputprosail),  byrow = FALSE)
+  filename <- file.path(path_results, "PROSAIL_LUT_InputParms.txt")
+  write.table(x = format(output,  digits = 3), file = filename, append = FALSE,  quote = FALSE,
+              col.names = names(inputprosail),  row.names = FALSE, sep = "\t")
+  # Write BRF LUT corresponding to parameters LUT
+  filename <- file.path(path_results, "PROSAIL_LUT_reflectance.txt")
+  write.table(x = format(t(brf_lut),  digits = 5), file = filename, append = FALSE,  quote = FALSE,
+              col.names = specprospect$lambda,  row.names = FALSE, sep = "\t")
+
+  # Which bands will be used for inversion?
+  if (is.null(bands2select)) {
+    bands2select <- list()
+    for (parm in parms2estimate) {
+      bands2select[[parm]] <- seq(1, length(specprospect$lambda))
+    }
+  }
+  # Add gaussian noise to reflectance LUT: one specific LUT per parameter
+  if (is.null(noiselevel)) {
+    noiselevel <- list()
+    for (parm in parms2estimate) {
+      noiselevel[[parm]] <- 0.01
+    }
+  }
+
+  # produce LIT with noise
+  brf_lut_noise <- list()
+  for (parm in parms2estimate) {
+    brf_lut_noise[[parm]] <- brf_lut[bands2select[[parm]], ] + brf_lut[bands2select[[parm]], ] * matrix(rnorm(nrow(brf_lut[bands2select[[parm]], ]) * ncol(brf_lut[bands2select[[parm]], ]),
+                                                                                                        0, noiselevel[[parm]]), nrow = nrow(brf_lut[bands2select[[parm]], ]))
+  }
+
+  ###===================================================================###
+  ###                     PERFORM HYBRID INVERSION                      ###
+  ###===================================================================###
+  # train SVR for each variable and each run
+  modelsvr <- list()
+  for (parm in parms2estimate) {
+    colparm <- which(parm == names(inputprosail))
+    inputvar <- inputprosail[[colparm]]
+    modelsvr[[parm]] <- prosail_hybrid_train(brf_lut = brf_lut_noise[[parm]], inputvar = inputvar,
+                                             figplot = figplot, nbensemble = nbmodels, withreplacement = replacement)
+  }
+  return(modelsvr)
+}
+
+#" writes ENVI hdr file
+#"
+#" @param hdr content to be written
+#" @param hdrpath Path of the hdr file
+#"
+#" @return None
+#" @importFrom stringr str_count
+#" @export
+write_envi_header <- function(hdr, hdrpath) {
+  h <- lapply(hdr, function(x) {
+    if (length(x) > 1 || (is.character(x) && stringr::str_count(x,  "\\w + ") > 1)) {
+      x <- paste0("{",  paste(x,  collapse = ","),  "}")
+    }
+    # convert last numerics
+    x <- as.character(x)
+  })
+  writeLines(c("ENVI",  paste(names(hdr),  h,  sep = "=")),  con = hdrpath)
+  return(invisible())
+}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/prosail-master/R/Lib_SpectralIndices.R	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,679 @@
+# ============================================================================== =
+# prosail
+# Lib_spectralindices.R
+# ============================================================================== =
+# PROGRAMMERS:
+# Jean-Baptiste FERET <jb.feret@teledetection.fr>
+# Florian de BOISSIEU <fdeboiss@gmail.com>
+# Copyright 2019/11 Jean-Baptiste FERET
+# ============================================================================== =
+# This Library includes aims at computing spectral indices from reflectance data
+# ============================================================================== =
+
+#" This function computes Area under curve for continuum removed reflectances
+#" See Malenovský et al. (2013) for details
+#" http://dx.doi.org/10.1016/j.rse.2012.12.015
+#"
+#" @param refl RasterBrick, RasterStack or list. Raster bands in the order of sensorbands.
+#" @param sensorbands numeric. vector containing central wavelength for each spectral band in the image
+#" @param aucminmax list. wavelengths of lower and upper boundaries ("CRmin" and "CRmax")
+#" @param reflfactor numeric. multiplying factor used to write reflectance in image (==10000 for S2)
+#"
+#" @return aucval raster
+#" @export
+auc <- function(refl, sensorbands, aucminmax, reflfactor = 1) {
+
+  aucbands <- list()
+  aucbands[["CRmin"]] <- sensorbands[get_closest_bands(sensorbands, aucminmax[["CRmin"]])]
+  aucbands[["CRmax"]] <- sensorbands[get_closest_bands(sensorbands, aucminmax[["CRmax"]])]
+  bands <- get_closest_bands(sensorbands, aucbands)
+  for (i in bands[["CRmin"]]:bands[["CRmax"]]) {
+    if (is.na(match(i, bands))) {
+      aucbands[[paste("B", i, sep = "")]] <- sensorbands[i]
+    }
+  }
+  # compute continuum removal for all spectral bands
+  cr <- cr_wl(refl = refl, sensorbands = sensorbands,
+              crbands = aucbands, reflfactor = reflfactor)
+
+  wl <- sort(unlist(aucbands), decreasing = FALSE)
+  aucval <- 0.5 * (1 - cr[[1]]) * (wl[2] - wl[1])
+  for (i in 2:length(cr)) {
+    aucval <- aucval + 0.5 * (2 - cr[[i - 1]] - cr[[i]]) * (wl[i + 1] - wl[i])
+  }
+  aucval <- aucval + 0.5 * (1 - cr[[length(cr)]]) * (wl[i + 2] - wl[i + 1])
+  return(aucval)
+}
+
+#" This function extracts boundaries to be used to compute continuum from reflectance data
+#"
+#" @param refl RasterBrick, RasterStack or list. Raster bands in the order of sensorbands.
+#" @param sensorbands numeric. vector containing central wavelength for each spectral band in the image
+#" @param crbands list. list of spectral bands (central wavelength) including CRmin and CRmax
+#" @param reflfactor numeric. multiplying factor used to write reflectance in image ( == 10000 for S2)
+#"
+#" @return crminmax list. list of rasters corresponding to minimum and maximum wavelengths
+#" @export
+crbound <- function(refl,  sensorbands,  crbands,  reflfactor = 1) {
+
+  # get closest spectral bands from CR1 and CR2
+  bands <- get_closest_bands(sensorbands, list(crbands[["CRmin"]], crbands[["CRmax"]]))
+  wl <- sensorbands[bands]
+  # get equation for line going from CR1 to CR2
+  crminmax <- readrasterbands(refl = refl,  bands = bands,  reflfactor = reflfactor)
+  names(crminmax) <- paste("wl_", as.character(wl), sep = "")
+  return(crminmax)
+}
+
+#" This function extracts boundaries to be used to compute continuum from reflectance data
+#"
+#" @param refl RasterBrick,  RasterStack or list. Raster bands in the order of sensorbands.
+#" @param sensorbands numeric. vector containing central wavelength for each spectral band in the image
+#" @param crbands list. list of spectral bands (central wavelength) including CRmin and CRmax
+#" @param reflfactor numeric. multiplying factor used to write reflectance in image ( == 10000 for S2)
+#"
+#" @return outlier_iqr numeric. band numbers of original sensor corresponding to S2
+#" @importFrom progress progress_bar
+#" @export
+cr_wl <- function(refl,  sensorbands,  crbands,  reflfactor = 1) {
+
+  # Make sure CRmin and CRmax are correctly defined
+  if (is.na(match("CRmin", names(crbands))) || is.na(match("CRmax", names(crbands)))) {
+    stop("Please define CRmin and CRmax (CRmin<CRmax) as spectral bands in crbands")
+  }
+  if (crbands[["CRmax"]] < crbands[["CRmin"]]) {
+    stop("Please define CRmin < CRmax in crbands")
+  }
+  # extract CRmin and CRmax
+  crminmax <- crbound(refl,  sensorbands,  crbands,  reflfactor = reflfactor)
+  # extract other bands and compute CR
+  crmin <- sensorbands[get_closest_bands(sensorbands, crbands[["CRmin"]])]
+  crmax <- sensorbands[get_closest_bands(sensorbands, crbands[["CRmax"]])]
+  crbands[["CRmin"]] <- NULL
+  crbands[["CRmax"]] <- NULL
+  cr <- list()
+  # initiate progress bar
+  pgbarlength <- length(crbands)
+  pb <- progress_bar$new(
+    format = "Computing continuum removal [:bar] :percent in :elapsedfull, estimated time remaining :eta",
+    total = pgbarlength,  clear = FALSE,  width = 100)
+  # computation for each band
+  for (band in crbands) {
+    pb$tick()
+    bandrank <- get_closest_bands(sensorbands, band)
+    raster2cr <- readrasterbands(refl = refl,  bands = bandrank,  reflfactor = reflfactor)
+    cr[[as.character(band)]] <- computecr(wlmin = crmin,  wlmax = crmax,
+                                          wltarget = band,  boundaries = crminmax,
+                                          target = raster2cr)
+  }
+  return(cr)
+}
+
+#" This function computes continuum removal value for a spectral band of interest,
+#" based on lower and upper wavelengths corresponding to boundaries of the continuum
+#"
+#" @param wlmin numeric. wavelength of the spectral band corresponding to minimum boundary
+#" @param wlmax numeric. wavelength of the spectral band corresponding to maximum boundary
+#" @param wltarget numeric. wavelength of the spectral band for which cr is computed
+#" @param boundaries list. raster objects corresponding to minimum and maximum wavelengths
+#" @param target list. raster object corresponding target wavelength
+#"
+#" @return cr list. raster object corresponding to continuum removed value
+#" @export
+computecr <- function(wlmin,  wlmax,  wltarget,  boundaries,  target) {
+
+  cr <- target / (boundaries[[1]] + (wltarget - wlmin) * (boundaries[[2]] - boundaries[[1]]) / (wlmax - wlmin))
+  return(cr)
+}
+
+#" this function produces a spectral index from an expression defining a spectral index
+#"
+#" @param refl RasterBrick,  RasterStack or list. Raster bands in the order of sensorbands.
+#" @param sensorbands numeric. wavelength in nanometers of the spectral bands of refl.
+#" @param expressindex  character. expression corresponding to the spectral index to compute
+#" @param listbands list. list of spectral bands defined in the "expressindex" variable
+#" @param reflfactor numeric. multiplying factor used to write reflectance in image ( == 10000 for S2)
+#" @param nameindex character. name for the index to be computed,  provided in the raster layer
+#"
+#" @return numeric. band numbers of original sensor corresponding to S2
+#" @export
+spectralindices_fromexpression <- function(refl,  sensorbands,  expressindex,  listbands,  reflfactor = 1, nameindex = NULL) {
+
+  # define which bands to be used in the spectral index
+  bands <- get_closest_bands(sensorbands, listbands)
+
+  classraster <- class(refl)
+  if (classraster == "RasterBrick" || classraster == "RasterStack" || classraster == "stars") {
+    # if !reflfactor  ==  1 then apply a reflectance factor
+    if (classraster == "stars") {
+      refl <- refl[bands]
+    } else {
+      refl <- raster::subset(refl, bands)
+    }
+    if (!reflfactor == 1) {
+      refl <- refl / reflfactor
+    }
+  } else if (is.list(refl)) {
+    refl <- raster::stack(refl[bands]) # checks that all rasters have same crs/extent
+    if (!reflfactor == 1) {
+      refl <- refl / reflfactor
+    }
+  } else {
+    stop("refl is expected to be a RasterStack,  RasterBrick,  Stars object or a list of rasters")
+  }
+  names(refl) <- gsub(pattern = "B", replacement = "Band", x = names(bands))
+
+  nbbands <- unique(as.numeric(gsub(pattern = "B",
+                                    replacement = "",
+                                    x =  unlist(regmatches(expressindex,
+                                                           gregexpr("B[[:digit:]] + ",
+                                                                    expressindex))))))
+  sortband <- sort(nbbands, index.return = TRUE, decreasing = TRUE)
+  matches <- unique(unlist(regmatches(expressindex,  gregexpr("B[[:digit:]] + ",  expressindex))))[sortband$ix]
+  replaces <- paste("refl[['Band", gsub(pattern = "B", replacement = "", x = matches), "']]", sep = "")
+  expressindex_final <- expressindex
+  for (bb in 1:seq_along(matches)) {
+    expressindex_final <- gsub(pattern = matches[bb],  replacement = replaces[bb],  x = expressindex_final)
+  }
+  si <- eval(parse(text = expressindex_final))
+  if (!is.null(nameindex)) {
+    names(si) <- nameindex
+  }
+  return(si)
+}
+
+#" this function aims at computing spectral indices from Sensor reflectance data in raster object
+#" it computes the spectral indices based on their computation with Sentinel-2
+#" and assumes that the bands of the S2 data follow this order
+#" wavelength	= {496.6,  560.0,  664.5,  703.9,  740.2,  782.5,  835.1,  864.8,  1613.7,  2202.4}
+#" Full description of the indices can be found here:
+#" https://www.sentinel-hub.com/eotaxonomy/indices
+#"
+#" @param refl RasterBrick,  RasterStack or list. Raster bands in the order of sensorbands.
+#" @param sensorbands numeric. wavelength in nanometers of the spectral bands of refl.
+#" @param sel_indices  list. list of spectral indices to be computed
+#" @param stackout logical. If TRUE returns a stack,  otherwise a list of rasters.
+#" @param reflfactor numeric. multiplying factor used to write reflectance in image ( == 10000 for S2)
+#"
+#" @return list. includes
+#" - spectralindices: List of spectral indices computed from the reflectance initially provided
+#" - listindices: list of spectral indices computable with the function
+#" @importFrom methods is
+#" @importFrom raster stack brick
+#" @export
+
+computespectralindices_raster <- function(refl,  sensorbands,  sel_indices = "ALL",  stackout = TRUE, reflfactor = 1) {
+
+  s2bands <- c("B2" = 496.6, "B3" = 560.0, "B4" = 664.5, "B5" = 703.9, "B6" = 740.2,
+               "B7" = 782.5, "B8" = 835.1, "B8A" = 864.8, "B11" = 1613.7, "B12" = 2202.4)
+
+  spectralindices <- list()
+  sen2s2 <- get_closest_bands(sensorbands, s2bands)
+  classraster <- class(refl)
+  if (classraster == "RasterBrick" || classraster == "RasterStack" || classraster == "stars") {
+    # if !reflfactor  ==  1 then apply a reflectance factor
+    if (classraster == "stars") {
+      refl <- refl[sen2s2]
+    } else {
+      refl <- raster::subset(refl, sen2s2)
+    }
+    if (!reflfactor == 1) {
+      refl <- refl / reflfactor
+    }
+  } else if (is.list(refl)) {
+    refl <- raster::stack(refl[sen2s2]) # checks that all rasters have same crs/extent
+    if (!reflfactor == 1) {
+      refl <- refl / reflfactor
+    }
+  } else {
+    stop("refl is expected to be a RasterStack, RasterBrick, Stars object or a list of rasters")
+  }
+  names(refl) <- names(sen2s2)
+
+  indexall <- list()
+
+  # inelegant but meeeeh
+  listindices <- list("ARI1", "ARI2", "ARVI", "BAI", "BAIS2", "CCCI", "CHL_RE", "CRI1", "CRI2", "EVI", "EVI2",
+                      "GRVI1", "GNDVI", "IRECI", "LAI_SAVI", "MCARI", "mNDVI705", "MSAVI2",
+                      "MSI", "mSR705", "MTCI", "nBR_RAW", "NDI_45", "NDII", "NDSI", "NDVI", "NDVI_G",
+                      "NDVI705", "NDWI1", "NDWI2", "PSRI", "PSRI_NIR", "RE_NDVI", "RE_NDWI", "S2REP",
+                      "SAVI", "SIPI", "SR", "CR_SWIR")
+  if (sel_indices[1] == "ALL") {
+    sel_indices <- listindices
+  }
+  if ("ARI1" %in% sel_indices) {
+    ari1 <- (1 / refl[["B3"]]) - (1 / refl[["B5"]])
+    spectralindices$ARI1 <- ari1
+  }
+  if ("ARI2" %in% sel_indices) {
+    ari2 <- (refl[["B8"]] / refl[["B2"]]) - (refl[["B8"]] / refl[["B3"]])
+    spectralindices$ARI2 <- ari2
+  }
+  if ("ARVI" %in% sel_indices) {
+    arvi <- (refl[["B8"]] - (2 * refl[["B4"]] - refl[["B2"]])) / (refl[["B8"]] + (2 * refl[["B4"]] - refl[["B2"]]))
+    spectralindices$ARVI <- arvi
+  }
+  if ("BAI" %in% sel_indices) {
+    bai <- (1 / ((0.1 - refl[["B4"]])**2 + (0.06 - refl[["B8"]])**2))
+    spectralindices$BAI <- bai
+  }
+  if ("BAIS2" %in% sel_indices) {
+    bais2 <-  (1 - ((refl[["B6"]] * refl[["B7"]] * refl[["B8A"]]) / refl[["B4"]])**0.5) * ((refl[["B12"]] - refl[["B8A"]]) / ((refl[["B12"]] + refl[["B8A"]])**0.5) + 1)
+    spectralindices$BAIS2 <- bais2
+  }
+  if ("CCCI" %in% sel_indices) {
+    ccci <- ((refl[["B8"]] - refl[["B5"]]) / (refl[["B8"]] + refl[["B5"]])) / ((refl[["B8"]] - refl[["B4"]]) / (refl[["B8"]] + refl[["B4"]]))
+    spectralindices$CCCI <- ccci
+  }
+  if ("CHL_RE" %in% sel_indices) {
+    chl_re <- refl[["B5"]] / refl[["B8"]]
+    spectralindices$CHL_RE <- chl_re
+  }
+  if ("CRI1" %in% sel_indices) {
+    cri1 <- (1 / refl[["B2"]]) - (1 / refl[["B3"]])
+    spectralindices$CRI1 <- cri1
+  }
+  if ("CRI2" %in% sel_indices) {
+    cri2 <- (1 / refl[["B2"]]) - (1 / refl[["B5"]])
+    spectralindices$CRI2 <- cri2
+  }
+  if ("EVI" %in% sel_indices) {
+    evi <- 2.5 * (refl[["B8"]] - refl[["B4"]]) / ((refl[["B8"]] + 6 * refl[["B4"]] - 7.5 * refl[["B2"]] + 1))
+    spectralindices$EVI <- evi
+  }
+  if ("EVI2" %in% sel_indices) {
+    evi2 <- 2.5 * (refl[["B8"]] - refl[["B4"]]) / (refl[["B8"]] + 2.4 * refl[["B4"]] + 1)
+    spectralindices$EVI2 <- evi2
+  }
+  if ("GRVI1" %in% sel_indices) {
+    grvi1 <- (refl[["B4"]] - refl[["B3"]]) / (refl[["B4"]] + refl[["B3"]])
+    spectralindices$GRVI1 <- grvi1
+  }
+  if ("GNDVI" %in% sel_indices) {
+    gndvi <- (refl[["B8"]] - refl[["B3"]]) / (refl[["B8"]] + refl[["B3"]])
+    spectralindices$GNDVI <- gndvi
+  }
+  if ("IRECI" %in% sel_indices) {
+    ireci <- (refl[["B7"]] - refl[["B4"]]) * (refl[["B6"]] / (refl[["B5"]]))
+    spectralindices$IRECI <- ireci
+  }
+  if ("LAI_SAVI" %in% sel_indices) {
+    lai_savi <- - log(0.371  +  1.5 * (refl[["B8"]] - refl[["B4"]]) / (refl[["B8"]] +  refl[["B4"]] +  0.5)) / 2.4
+    spectralindices$LAI_SAVI <- lai_savi
+  }
+  if  ("MCARI" %in% sel_indices) {
+    mcari <- (1 - 0.2 * (refl[["B5"]] - refl[["B3"]]) / (refl[["B5"]] - refl[["B4"]]))
+    spectralindices$MCARI <- mcari
+  }
+  if ("mNDVI705" %in% sel_indices) {
+    mndvi705 <- (refl[["B6"]] - refl[["B5"]]) / (refl[["B6"]] + refl[["B5"]] - 2 * refl[["B2"]])
+    spectralindices$mNDVI705 <- mndvi705
+  }
+  if ("MSAVI2" %in% sel_indices) {
+    msavi2 <- ((refl[["B8"]] + 1) - 0.5 * sqrt(((2 * refl[["B8"]]) - 1)**2 + 8 * refl[["B4"]]))
+    spectralindices$MSAVI2 <- msavi2
+  }
+  if ("MSI" %in% sel_indices) {
+    msi <- refl[["B11"]] / refl[["B8A"]]
+    spectralindices$MSI <- msi
+  }
+  if ("mSR705" %in% sel_indices) {
+    msr705 <- (refl[["B6"]] - refl[["B2"]]) / (refl[["B5"]] - refl[["B2"]])
+    spectralindices$mSR705 <- msr705
+  }
+  if ("MTCI" %in% sel_indices) {
+    mtci <- (refl[["B6"]] - refl[["B5"]]) / (refl[["B5"]] + refl[["B4"]])
+    spectralindices$MTCI <- mtci
+  }
+  if ("nBR_RAW" %in% sel_indices) {
+    nbr_raw <- (refl[["B8"]] - refl[["B12"]]) / (refl[["B8"]] + refl[["B12"]])
+    spectralindices$nBR_RAW <- nbr_raw
+  }
+  if ("NDI_45" %in% sel_indices) {
+    ndi_45 <- (refl[["B5"]] - refl[["B4"]]) / (refl[["B5"]] + refl[["B4"]])
+    spectralindices$NDI_45 <- ndi_45
+  }
+  if ("NDII" %in% sel_indices) {
+    ndii <- (refl[["B8A"]] - refl[["B11"]]) / (refl[["B8A"]] + refl[["B11"]])
+    spectralindices$NDII <- ndii
+  }
+  if ("NDSI" %in% sel_indices) {
+    ndsi <- (refl[["B3"]] - refl[["B11"]]) / (refl[["B3"]] + refl[["B11"]])
+    spectralindices$NDSI <- ndsi
+  }
+  if ("NDVI" %in% sel_indices) {
+    ndvi <- (refl[["B8"]] - refl[["B4"]]) / (refl[["B8"]] + refl[["B4"]])
+    spectralindices$NDVI <- ndvi
+  }
+  if ("NDVI_G" %in% sel_indices) {
+    ndvi_g <- refl[["B3"]] * (refl[["B8"]] - refl[["B4"]]) / (refl[["B8"]] + refl[["B4"]])
+    spectralindices$NDVI_G <- ndvi_g
+  }
+  if ("NDVI705" %in% sel_indices) {
+    ndvi705 <- (refl[["B6"]] - refl[["B5"]]) / (refl[["B6"]] + refl[["B5"]])
+    spectralindices$NDVI705 <- ndvi705
+  }
+  if ("NDWI" %in% sel_indices) {
+    ndwi <- (refl[["B3"]] - refl[["B8"]]) / (refl[["B3"]] + refl[["B8"]])
+    spectralindices$NDWI <- ndwi
+  }
+  if ("NDWI1" %in% sel_indices) {
+    ndwi1 <- (refl[["B8A"]] - refl[["B11"]]) / (refl[["B8A"]] + refl[["B11"]])
+    spectralindices$NDWI1 <- ndwi1
+  }
+  if ("NDWI2" %in% sel_indices) {
+    ndwi2 <- (refl[["B8A"]] - refl[["B12"]]) / (refl[["B8A"]] + refl[["B12"]])
+    spectralindices$NDWI2 <- ndwi2
+  }
+  if ("PSRI" %in% sel_indices) {
+    psri <- (refl[["B4"]] - refl[["B2"]]) / (refl[["B5"]])
+    spectralindices$PSRI <- psri
+  }
+  if ("PSRI_NIR" %in% sel_indices) {
+    psri_nir <- (refl[["B4"]] - refl[["B2"]]) / (refl[["B8"]])
+    spectralindices$PSRI_NIR <- psri_nir
+  }
+  if ("RE_NDVI" %in% sel_indices) {
+    re_ndvi <- (refl[["B8"]] - refl[["B6"]]) / (refl[["B8"]] + refl[["B6"]])
+    spectralindices$RE_NDVI <- re_ndvi
+  }
+  if ("RE_NDWI" %in% sel_indices) {
+    re_ndwi <- (refl[["B4"]] - refl[["B6"]]) / (refl[["B4"]] + refl[["B6"]])
+    spectralindices$RE_NDWI <- re_ndwi
+  }
+  if ("S2REP" %in% sel_indices) {
+    s2rep <- 705 + 35 * (0.5 * (refl[["B8"]] + refl[["B5"]]) - refl[["B6"]]) / (refl[["B7"]] - refl[["B6"]])
+    spectralindices$S2REP <- s2rep
+  }
+  if ("SAVI" %in% sel_indices) {
+    savi <- 1.5 * (refl[["B8"]] - refl[["B5"]]) / (refl[["B8"]] + refl[["B5"]] + 0.5)
+    spectralindices$SAVI <- savi
+  }
+  if ("SIPI" %in% sel_indices) {
+    sipi <- (refl[["B8"]] - refl[["B2"]]) / (refl[["B8"]] - refl[["B4"]])
+    spectralindices$SIPI <- sipi
+  }
+  if ("SR" %in% sel_indices) {
+    sr <- refl[["B8"]] / refl[["B4"]]
+    spectralindices$SR <- sr
+  }
+  if ("TCARI" %in% sel_indices) {
+    sr <- refl[["B8"]] / refl[["B4"]]
+    spectralindices$SR <- sr
+  }
+  if ("CR_SWIR" %in% sel_indices) {
+    cr_swir <- refl[["B11"]] / (refl[["B8A"]] + (s2bands["B11"] - s2bands["B8A"]) * (refl[["B12"]] - refl[["B8A"]]) / (s2bands["B12"] - s2bands["B8A"]))
+    spectralindices$CR_SWIR <- cr_swir
+  }
+
+  if (stackout)
+    spectralindices <- raster::stack(spectralindices)
+
+  res <- list("spectralindices" = spectralindices, "listindices" = listindices)
+  return(res)
+}
+
+#" this function aims at computing spectral indices from Sensor reflectance data.
+#" it computes the spectral indices based on their computation with Sentinel-2
+#" and assumes that the bands of the S2 data follow this order
+#" wavelength	= {496.6,  560.0,  664.5,  703.9,  740.2,  782.5,  835.1,  864.8,  1613.7,  2202.4}
+#" Full description of the indices can be found here:
+#" https://www.sentinel-hub.com/eotaxonomy/indices
+#"
+#" @param refl numeric. reflectance dataset defined in matrix
+#" @param sel_indices list. list of spectral indices to be computed
+#" @param sensorbands numeric. wavelength of the spectral bands corresponding to the spectral index
+#"
+#" @return list. includes
+#" - spectralindices: List of spectral indices computed from the reflectance initially provided
+#" - listindices: list of spectral indices computable with the function
+#" @export
+
+computespectralindices_hs <- function(refl, sensorbands, sel_indices = "ALL") {
+
+  spectralindices <- list()
+  s2bands <- data.frame("B2" = 496.6, "B3" = 560.0, "B4" = 664.5, "B5" = 703.9, "B6" = 740.2,
+               "B7" = 782.5, "B8" = 835.1, "B8A" = 864.8, "B11" = 1613.7, "B12" = 2202.4)
+
+  sen2s2 <- get_closest_bands(sensorbands, s2bands)
+  indexall <- list()
+  # set zero vaues to >0 in order to avoid problems
+  selzero <- which(refl == 0)
+  refl[selzero] <- 0.005
+  if (dim(refl)[1] == length(sensorbands)) {
+    refl <- t(refl)
+  }
+
+  # inelegant but meeeeh
+  listindices <- list("ARI1", "ARI2", "ARVI", "BAI", "BAIS2", "CHL_RE", "CRI1", "CRI2", "EVI", "EVI2",
+                      "GRVI1", "GNDVI", "IRECI", "LAI_SAVI", "MCARI", "mNDVI705", "MSAVI2",
+                      "MSI", "mSR705", "MTCI", "nBR_RAW", "NDI_45", "NDII", "NDVI", "NDVI_G",
+                      "NDVI705", "NDWI1", "NDWI2", "PSRI", "PSRI_NIR", "RE_NDVI", "RE_NDWI", "S2REP",
+                      "SAVI", "SIPI", "SR", "CR_SWIR")
+  if (sel_indices == "ALL") {
+    sel_indices <- listindices
+  }
+  if ("ARI1" %in% sel_indices) {
+    ari1 <- (1 / refl[, sen2s2[["B3"]]]) - (1 / refl[, sen2s2[["B5"]]])
+    spectralindices$ARI1 <- ari1
+  }
+  if ("ARI2" %in% sel_indices) {
+    ari2 <- (refl[, sen2s2[["B8"]]] / refl[, sen2s2[["B2"]]]) - (refl[, sen2s2[["B8"]]] / refl[, sen2s2[["B3"]]])
+    spectralindices$ARI2 <- ari2
+  }
+  if ("ARVI" %in% sel_indices) {
+    arvi <- (refl[, sen2s2[["B8"]]] - (2 * refl[, sen2s2[["B4"]]] - refl[, sen2s2[["B2"]]])) / (refl[, sen2s2[["B8"]]] + (2 * refl[, sen2s2[["B4"]]] - refl[, sen2s2[["B2"]]]))
+    spectralindices$ARVI <- arvi
+  }
+  if ("BAI" %in% sel_indices) {
+    bai <- (1 / ((0.1 - refl[, sen2s2[["B4"]]])**2 + (0.06 - refl[, sen2s2[["B8"]]])**2))
+    spectralindices$BAI <- bai
+  }
+  if ("BAIS2" %in% sel_indices) {
+    bais2 <-  (1 - ((refl[, sen2s2[["B6"]]] * refl[, sen2s2[["B7"]]] * refl[, sen2s2[["B8A"]]]) / refl[, sen2s2[["B4"]]])**0.5) * ((refl[, sen2s2[["B12"]]] - refl[, sen2s2[["B8A"]]]) / ((refl[, sen2s2[["B12"]]] + refl[, sen2s2[["B8A"]]])**0.5) + 1)
+    spectralindices$BAIS2 <- bais2
+  }
+  if ("CCCI" %in% sel_indices) {
+    ccci <- ((refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B5"]]]) / (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B5"]]])) / ((refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B4"]]]) / (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B4"]]]))
+    spectralindices$CCCI <- ccci
+  }
+  if ("CHL_RE" %in% sel_indices) {
+    chl_re <- refl[, sen2s2[["B5"]]] / refl[, sen2s2[["B8"]]]
+    spectralindices$CHL_RE <- chl_re
+  }
+  if ("CRI1" %in% sel_indices) {
+    cri1 <- (1 / refl[, sen2s2[["B2"]]]) - (1 / refl[, sen2s2[["B3"]]])
+    spectralindices$CRI1 <- cri1
+  }
+  if ("CRI2" %in% sel_indices) {
+    cri2 <- (1 / refl[, sen2s2[["B2"]]]) - (1 / refl[, sen2s2[["B5"]]])
+    spectralindices$CRI2 <- cri2
+  }
+  if ("EVI" %in% sel_indices) {
+    evi <- 2.5 * (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B4"]]]) / ((refl[, sen2s2[["B8"]]] + 6 * refl[, sen2s2[["B4"]]] - 7.5 * refl[, sen2s2[["B2"]]] + 1))
+    spectralindices$EVI <- evi
+  }
+  if ("EVI2" %in% sel_indices) {
+    evi2 <- 2.5 * (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B4"]]]) / (refl[, sen2s2[["B8"]]] + 2.4 * refl[, sen2s2[["B4"]]] + 1)
+    spectralindices$EVI2 <- evi2
+  }
+  if ("GRVI1" %in% sel_indices) {
+    grvi1 <- (refl[, sen2s2[["B4"]]] - refl[, sen2s2[["B3"]]]) / (refl[, sen2s2[["B4"]]] + refl[, sen2s2[["B3"]]])
+    spectralindices$GRVI1 <- grvi1
+  }
+  if ("GNDVI" %in% sel_indices) {
+    gndvi <- (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B3"]]]) / (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B3"]]])
+    spectralindices$GNDVI <- gndvi
+  }
+  if ("IRECI" %in% sel_indices) {
+    ireci <- (refl[, sen2s2[["B7"]]] - refl[, sen2s2[["B4"]]]) * (refl[, sen2s2[["B6"]]] / (refl[, sen2s2[["B5"]]]))
+    spectralindices$IRECI <- ireci
+  }
+  if ("LAI_SAVI" %in% sel_indices) {
+    lai_savi <- - log(0.371  +  1.5 * (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B4"]]]) / (refl[, sen2s2[["B8"]]] +  refl[, sen2s2[["B4"]]] +  0.5)) / 2.4
+    spectralindices$LAI_SAVI <- lai_savi
+  }
+  if  ("MCARI" %in% sel_indices) {
+    mcari <- (1 - 0.2 * (refl[, sen2s2[["B5"]]] - refl[, sen2s2[["B3"]]]) / (refl[, sen2s2[["B5"]]] - refl[, sen2s2[["B4"]]]))
+    spectralindices$MCARI <- mcari
+  }
+  if ("mNDVI705" %in% sel_indices) {
+    mndvi705 <- (refl[, sen2s2[["B6"]]] - refl[, sen2s2[["B5"]]]) / (refl[, sen2s2[["B6"]]] + refl[, sen2s2[["B5"]]] - 2 * refl[, sen2s2[["B2"]]])
+    spectralindices$mNDVI705 <- mndvi705
+  }
+  if ("MSAVI2" %in% sel_indices) {
+    msavi2 <- ((refl[, sen2s2[["B8"]]] + 1) - 0.5 * sqrt(((2 * refl[, sen2s2[["B8"]]]) - 1)**2 + 8 * refl[, sen2s2[["B4"]]]))
+    spectralindices$MSAVI2 <- msavi2
+  }
+  if ("MSI" %in% sel_indices) {
+    msi <- refl[, sen2s2[["B11"]]] / refl[, sen2s2[["B8"]]]
+    spectralindices$MSI <- msi
+  }
+  if ("mSR705" %in% sel_indices) {
+    msr705 <- (refl[, sen2s2[["B6"]]] - refl[, sen2s2[["B2"]]]) / (refl[, sen2s2[["B5"]]] - refl[, sen2s2[["B2"]]])
+    spectralindices$mSR705 <- msr705
+  }
+  if ("MTCI" %in% sel_indices) {
+    mtci <- (refl[, sen2s2[["B6"]]] - refl[, sen2s2[["B5"]]]) / (refl[, sen2s2[["B5"]]] + refl[, sen2s2[["B4"]]])
+    spectralindices$MTCI <- mtci
+  }
+  if ("nBR_RAW" %in% sel_indices) {
+    nbr_raw <- (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B12"]]]) / (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B12"]]])
+    spectralindices$nBR_RAW <- nbr_raw
+  }
+  if ("NDI_45" %in% sel_indices) {
+    ndi_45 <- (refl[, sen2s2[["B5"]]] - refl[, sen2s2[["B4"]]]) / (refl[, sen2s2[["B5"]]] + refl[, sen2s2[["B4"]]])
+    spectralindices$NDI_45 <- ndi_45
+  }
+  if ("NDII" %in% sel_indices) {
+    ndii <- (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B11"]]]) / (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B11"]]])
+    spectralindices$NDII <- ndii
+  }
+  if ("NDSI" %in% sel_indices) {
+    ndisi <- (refl[, sen2s2[["B3"]]] - refl[, sen2s2[["B11"]]]) / (refl[, sen2s2[["B3"]]] + refl[, sen2s2[["B11"]]])
+    spectralindices$NDSI <- ndsi
+  }
+  if ("NDVI" %in% sel_indices) {
+    ndvi <- (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B4"]]]) / (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B4"]]])
+    spectralindices$NDVI <- ndvi
+  }
+  if ("NDVI_G" %in% sel_indices) {
+    ndvi_g <- refl[, sen2s2[["B3"]]] * (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B4"]]]) / (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B4"]]])
+    spectralindices$NDVI_G <- ndvi_g
+  }
+  if ("NDVI705" %in% sel_indices) {
+    ndvi705 <- (refl[, sen2s2[["B6"]]] - refl[, sen2s2[["B5"]]]) / (refl[, sen2s2[["B6"]]] + refl[, sen2s2[["B5"]]])
+    spectralindices$NDVI705 <- ndvi705
+  }
+  if ("NDWI1" %in% sel_indices) {
+    ndwi1 <- (refl[, sen2s2[["B8A"]]] - refl[, sen2s2[["B11"]]]) / (refl[, sen2s2[["B8A"]]] + refl[, sen2s2[["B11"]]])
+    spectralindices$NDWI1 <- ndwi1
+  }
+  if ("NDWI2" %in% sel_indices) {
+    ndwi2 <- (refl[, sen2s2[["B8A"]]] - refl[, sen2s2[["B12"]]]) / (refl[, sen2s2[["B8A"]]] + refl[, sen2s2[["B12"]]])
+    spectralindices$NDWI2 <- ndwi2
+  }
+  if ("PSRI" %in% sel_indices) {
+    psri <- (refl[, sen2s2[["B4"]]] - refl[, sen2s2[["B2"]]]) / (refl[, sen2s2[["B5"]]])
+    spectralindices$PSRI <- psri
+  }
+  if ("PSRI_NIR" %in% sel_indices) {
+    psri_nir <- (refl[, sen2s2[["B4"]]] - refl[, sen2s2[["B2"]]]) / (refl[, sen2s2[["B8"]]])
+    spectralindices$PSRI_NIR <- psri_nir
+  }
+  if ("RE_NDVI" %in% sel_indices) {
+    re_ndvi <- (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B6"]]]) / (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B6"]]])
+    spectralindices$RE_NDVI <- re_ndvi
+  }
+  if ("RE_NDWI" %in% sel_indices) {
+    re_ndwi <- (refl[, sen2s2[["B4"]]] - refl[, sen2s2[["B6"]]]) / (refl[, sen2s2[["B4"]]] + refl[, sen2s2[["B6"]]])
+    spectralindices$RE_NDWI <- re_ndwi
+  }
+  if ("S2REP" %in% sel_indices) {
+    s2rep <- 705 + 35 * (0.5 * (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B5"]]]) - refl[, sen2s2[["B6"]]]) / (refl[, sen2s2[["B7"]]] - refl[, sen2s2[["B6"]]])
+    spectralindices$S2REP <- s2rep
+  }
+  if ("SAVI" %in% sel_indices) {
+    savi <- 1.5 * (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B5"]]]) / (refl[, sen2s2[["B8"]]] + refl[, sen2s2[["B5"]]] + 0.5)
+    spectralindices$SAVI <- savi
+  }
+  if ("SIPI" %in% sel_indices) {
+    sipi <- (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B2"]]]) / (refl[, sen2s2[["B8"]]] - refl[, sen2s2[["B4"]]])
+    spectralindices$SIPI <- sipi
+  }
+  if ("SR" %in% sel_indices) {
+    sr <- refl[, sen2s2[["B8"]]] / refl[, sen2s2[["B4"]]]
+    spectralindices$SR <- sr
+  }
+  if ("CR_SWIR" %in% sel_indices) {
+    cr_swir <- refl[, sen2s2[["B11"]]] / (refl[, sen2s2[["B8A"]]] + (s2bands$B11 - s2bands$B8A) * (refl[, sen2s2[["B12"]]] - refl[, sen2s2[["B8A"]]]) / (s2bands$B12 - s2bands$B8A))
+    spectralindices$CR_SWIR <- cr_swir
+  }
+  res <- list("spectralindices" = spectralindices, "listindices" = listindices)
+  return(res)
+}
+
+#" this function identifies the bands of a given sensor with closest match to its spectral characteristics
+#"
+#" @param sensorbands numeric. wavelength in nanometer of the sensor of interest
+#" @param listbands numeric or list. Named vector or list of spectral bands corresponding to sensor
+#"
+#" @return numeric. band numbers of original sensor
+#" @export
+get_closest_bands <- function(sensorbands, listbands) {
+  sapply(listbands,  function(x) {
+    b <- which.min(abs(sensorbands - x))
+    names(b) <- ""
+    b
+  })
+}
+
+#" This function computes interquartile range (IQR) criterion,  which can be used
+#" as a criterion for outlier detection
+#"
+#" @param distval numeric. vector of distribution of values
+#" @param weightirq numeric. weighting factor appplied to IRQ to define lower and upper boudaries for outliers
+#"
+#" @return outlier_iqr numeric. band numbers of original sensor corresponding to S2
+#" @importFrom stats IQR quantile
+#" @export
+iqr_outliers <- function(distval, weightirq = 1.5) {
+  iqr <- IQR(distval,  na.rm = TRUE)
+  range_iqr <- c(quantile(distval,  0.25, na.rm = TRUE), quantile(distval,  0.75, na.rm = TRUE))
+  outlier_iqr <- c(range_iqr[1] - weightirq * iqr, range_iqr[2] + weightirq * iqr)
+  return(outlier_iqr)
+}
+
+#" This function selects bands from a raster or stars object
+#"
+#" @param refl RasterBrick,  RasterStack or list. Raster bands in the order of sensorbands.
+#" @param bands numeric. rank of bands to be read in refl
+#" @param reflfactor numeric. multiplying factor used to write reflectance in image ( == 10000 for S2)
+#"
+#" @return robj list. R object (default is raster,  stars if refl is stars object)
+#" @importFrom raster subset stack
+#" @export
+readrasterbands <- function(refl,  bands,  reflfactor = 1) {
+
+  # get equation for line going from CR1 to CR2
+  classraster <- class(refl)
+  if (classraster == "RasterBrick" || classraster == "RasterStack" || classraster == "stars") {
+    # if !reflfactor  ==  1 then apply a reflectance factor
+    if (classraster == "stars") {
+      robj <- refl[bands]
+    } else {
+      robj <- raster::subset(refl, bands)
+    }
+    if (!reflfactor == 1) {
+      robj <- robj / reflfactor
+    }
+  } else if (is.list(refl)) {
+    robj <- raster::stack(refl[bands]) # checks that all rasters have same crs/extent
+    if (!reflfactor == 1) {
+      robj <- robj / reflfactor
+    }
+  } else {
+    stop("refl is expected to be a RasterStack, RasterBrick, Stars object or a list of rasters")
+  }
+  return(robj)
+}
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test-data/12a0b625-9ad5-4251-a57a-305e22edef2e.xml	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,661 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<gmd:MD_Metadata xmlns:gmd="http://www.isotc211.org/2005/gmd"
+                 xmlns:gml="http://www.opengis.net/gml/3.2"
+                 xmlns:gts="http://www.isotc211.org/2005/gts"
+                 xmlns:gco="http://www.isotc211.org/2005/gco"
+                 xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
+                 xsi:schemaLocation="http://www.isotc211.org/2005/gmd http://www.isotc211.org/2005/gmd/gmd.xsd http://www.isotc211.org/2005/gmx http://www.isotc211.org/2005/gmx/gmx.xsd http://www.isotc211.org/2005/srv http://schemas.opengis.net/iso/19139/20060504/srv/srv.xsd">
+  <gmd:fileIdentifier>
+      <gco:CharacterString>12a0b625-9ad5-4251-a57a-305e22edef2e</gco:CharacterString>
+  </gmd:fileIdentifier>
+  <gmd:language>
+      <gmd:LanguageCode codeList="http://www.loc.gov/standards/iso639-2/" codeListValue="fre"/>
+  </gmd:language>
+  <gmd:characterSet>
+      <gmd:MD_CharacterSetCode codeListValue="utf8"
+                               codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_CharacterSetCode"/>
+  </gmd:characterSet>
+  <gmd:hierarchyLevel xmlns:gn="http://www.fao.org/geonetwork"
+                       xmlns:gmx="http://www.isotc211.org/2005/gmx"
+                       xmlns:srv="http://www.isotc211.org/2005/srv"
+                       xmlns:xlink="http://www.w3.org/1999/xlink">
+      <gmd:MD_ScopeCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_ScopeCode"
+                        codeListValue="dataset"/>
+  </gmd:hierarchyLevel>
+  <gmd:contact>
+      <gmd:CI_ResponsibleParty>
+         <gmd:individualName>
+            <gco:CharacterString>Santiago Poggio</gco:CharacterString>
+         </gmd:individualName>
+         <gmd:organisationName>
+            <gco:CharacterString>IFEVA/ Catédra de producción vegetal, facultad de agronomia, Universidad de Buenos Aires/ CONICET</gco:CharacterString>
+         </gmd:organisationName>
+         <gmd:positionName gco:nilReason="missing">
+            <gco:CharacterString/>
+         </gmd:positionName>
+         <gmd:contactInfo>
+            <gmd:CI_Contact>
+               <gmd:phone>
+                  <gmd:CI_Telephone>
+                     <gmd:voice gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:voice>
+                     <gmd:facsimile gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:facsimile>
+                  </gmd:CI_Telephone>
+               </gmd:phone>
+               <gmd:address>
+                  <gmd:CI_Address>
+                     <gmd:deliveryPoint gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:deliveryPoint>
+                     <gmd:city gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:city>
+                     <gmd:administrativeArea gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:administrativeArea>
+                     <gmd:postalCode gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:postalCode>
+                     <gmd:country gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:country>
+                     <gmd:electronicMailAddress>
+                        <gco:CharacterString>spoggio@agro.uba.ar</gco:CharacterString>
+                     </gmd:electronicMailAddress>
+                  </gmd:CI_Address>
+               </gmd:address>
+            </gmd:CI_Contact>
+         </gmd:contactInfo>
+         <gmd:role>
+            <gmd:CI_RoleCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_RoleCode"
+                             codeListValue="originator"/>
+         </gmd:role>
+      </gmd:CI_ResponsibleParty>
+  </gmd:contact>
+  <gmd:contact>
+      <gmd:CI_ResponsibleParty>
+         <gmd:individualName>
+            <gco:CharacterString>Jacques Baudry</gco:CharacterString>
+         </gmd:individualName>
+         <gmd:organisationName>
+            <gco:CharacterString>BAGAP UMR 0980 INRAE Agrocampus Ouest ESA</gco:CharacterString>
+         </gmd:organisationName>
+         <gmd:positionName gco:nilReason="missing">
+            <gco:CharacterString/>
+         </gmd:positionName>
+         <gmd:contactInfo>
+            <gmd:CI_Contact>
+               <gmd:phone>
+                  <gmd:CI_Telephone>
+                     <gmd:voice gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:voice>
+                     <gmd:facsimile gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:facsimile>
+                  </gmd:CI_Telephone>
+               </gmd:phone>
+               <gmd:address>
+                  <gmd:CI_Address>
+                     <gmd:deliveryPoint gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:deliveryPoint>
+                     <gmd:city gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:city>
+                     <gmd:administrativeArea gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:administrativeArea>
+                     <gmd:postalCode gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:postalCode>
+                     <gmd:country gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:country>
+                     <gmd:electronicMailAddress>
+                        <gco:CharacterString>jacques.baudry@inrae.fr</gco:CharacterString>
+                     </gmd:electronicMailAddress>
+                  </gmd:CI_Address>
+               </gmd:address>
+            </gmd:CI_Contact>
+         </gmd:contactInfo>
+         <gmd:role>
+            <gmd:CI_RoleCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_RoleCode"
+                             codeListValue="author"/>
+         </gmd:role>
+      </gmd:CI_ResponsibleParty>
+  </gmd:contact>
+  <gmd:contact>
+      <gmd:CI_ResponsibleParty>
+         <gmd:individualName>
+            <gco:CharacterString>Audrey Alignier</gco:CharacterString>
+         </gmd:individualName>
+         <gmd:organisationName>
+            <gco:CharacterString>BAGAP UMR 0980 INRAE Agrocampus Ouest ESA</gco:CharacterString>
+         </gmd:organisationName>
+         <gmd:contactInfo>
+            <gmd:CI_Contact>
+               <gmd:address>
+                  <gmd:CI_Address>
+                     <gmd:electronicMailAddress>
+                        <gco:CharacterString>audrey.alignier@inrae.fr</gco:CharacterString>
+                     </gmd:electronicMailAddress>
+                  </gmd:CI_Address>
+               </gmd:address>
+            </gmd:CI_Contact>
+         </gmd:contactInfo>
+         <gmd:role>
+            <gmd:CI_RoleCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_RoleCode"
+                             codeListValue="pointOfContact"/>
+         </gmd:role>
+      </gmd:CI_ResponsibleParty>
+  </gmd:contact>
+  <gmd:contact>
+      <gmd:CI_ResponsibleParty>
+         <gmd:individualName gco:nilReason="missing">
+            <gco:CharacterString/>
+         </gmd:individualName>
+         <gmd:organisationName>
+            <gco:CharacterString>Zone Atelier Armorique (ZAAr)</gco:CharacterString>
+         </gmd:organisationName>
+         <gmd:contactInfo>
+            <gmd:CI_Contact>
+               <gmd:address>
+                  <gmd:CI_Address>
+                     <gmd:electronicMailAddress gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:electronicMailAddress>
+                  </gmd:CI_Address>
+               </gmd:address>
+            </gmd:CI_Contact>
+         </gmd:contactInfo>
+         <gmd:role>
+            <gmd:CI_RoleCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_RoleCode"
+                             codeListValue="distributor"/>
+         </gmd:role>
+      </gmd:CI_ResponsibleParty>
+  </gmd:contact>
+  <gmd:dateStamp>
+      <gco:DateTime>2021-03-27T00:00:09</gco:DateTime>
+  </gmd:dateStamp>
+  <gmd:metadataStandardName>
+      <gco:CharacterString>ISO 19115:2003/19139</gco:CharacterString>
+  </gmd:metadataStandardName>
+  <gmd:metadataStandardVersion>
+      <gco:CharacterString>1.0</gco:CharacterString>
+  </gmd:metadataStandardVersion>
+  <gmd:referenceSystemInfo>
+      <gmd:MD_ReferenceSystem>
+         <gmd:referenceSystemIdentifier>
+            <gmd:RS_Identifier>
+               <gmd:code>
+                  <gco:CharacterString>RGF Lambert-93</gco:CharacterString>
+               </gmd:code>
+            </gmd:RS_Identifier>
+         </gmd:referenceSystemIdentifier>
+      </gmd:MD_ReferenceSystem>
+  </gmd:referenceSystemInfo>
+  <gmd:identificationInfo>
+      <gmd:MD_DataIdentification>
+         <gmd:citation>
+            <gmd:CI_Citation>
+               <gmd:title>
+                  <gco:CharacterString>Relevés floristiques en maïs (Pleine-Fougères, 2010) - Zone Atelier Armorique ZAAr</gco:CharacterString>
+               </gmd:title>
+               <gmd:date>
+                  <gmd:CI_Date>
+                     <gmd:date>
+                        <gco:Date>2010-09-14</gco:Date>
+                     </gmd:date>
+                     <gmd:dateType>
+                        <gmd:CI_DateTypeCode codeListValue="creation"
+                                             codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_DateTypeCode"/>
+                     </gmd:dateType>
+                  </gmd:CI_Date>
+               </gmd:date>
+               <gmd:edition gco:nilReason="missing">
+                  <gco:CharacterString/>
+               </gmd:edition>
+               <gmd:identifier>
+                  <gmd:MD_Identifier>
+                     <gmd:code>
+                        <gco:CharacterString>https://www.osuris.fr/geonetwork/srv/metadata/12a0b625-9ad5-4251-a57a-305e22edef2e</gco:CharacterString>
+                     </gmd:code>
+                  </gmd:MD_Identifier>
+               </gmd:identifier>
+               <gmd:presentationForm>
+                  <gmd:CI_PresentationFormCode codeListValue="tableDigital"
+                                               codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_PresentationFormCode"/>
+               </gmd:presentationForm>
+            </gmd:CI_Citation>
+         </gmd:citation>
+         <gmd:abstract>
+            <gco:CharacterString>"Relevés des adventices en cultures de maïs (2010) ZAAr" 
+
+Relevés des adventices dans 28 parcelles de maïs pour séparer les effets de la séquence des cultures de l'hétérogénéité spatio-temporelle du paysage des 10 dernières années. 
+
+Ce projet a été financé en partenariat par : 
+MINCyT: Ministerio de ciencia, tecnologia e innovation productiva (Argentine)
+ECOS-SUD (France)</gco:CharacterString>
+         </gmd:abstract>
+         <gmd:purpose gco:nilReason="missing">
+            <gco:CharacterString/>
+         </gmd:purpose>
+         <gmd:status>
+            <gmd:MD_ProgressCode codeListValue="completed"
+                                 codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_ProgressCode"/>
+         </gmd:status>
+         <gmd:pointOfContact>
+            <gmd:CI_ResponsibleParty>
+               <gmd:individualName>
+                  <gco:CharacterString>Santiago Poggio</gco:CharacterString>
+               </gmd:individualName>
+               <gmd:organisationName>
+                  <gco:CharacterString>IFEVA/ Catédra de producción vegetal, facultad de agronomia, Universidad de Buenos Aires/ CONICET</gco:CharacterString>
+               </gmd:organisationName>
+               <gmd:positionName gco:nilReason="missing">
+                  <gco:CharacterString/>
+               </gmd:positionName>
+               <gmd:contactInfo>
+                  <gmd:CI_Contact>
+                     <gmd:phone>
+                        <gmd:CI_Telephone>
+                           <gmd:voice gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:voice>
+                           <gmd:facsimile gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:facsimile>
+                        </gmd:CI_Telephone>
+                     </gmd:phone>
+                     <gmd:address>
+                        <gmd:CI_Address>
+                           <gmd:deliveryPoint gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:deliveryPoint>
+                           <gmd:city gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:city>
+                           <gmd:administrativeArea gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:administrativeArea>
+                           <gmd:postalCode gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:postalCode>
+                           <gmd:country gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:country>
+                           <gmd:electronicMailAddress>
+                              <gco:CharacterString>spoggio@agro.uba.ar</gco:CharacterString>
+                           </gmd:electronicMailAddress>
+                        </gmd:CI_Address>
+                     </gmd:address>
+                  </gmd:CI_Contact>
+               </gmd:contactInfo>
+               <gmd:role>
+                  <gmd:CI_RoleCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_RoleCode"
+                                   codeListValue="author"/>
+               </gmd:role>
+            </gmd:CI_ResponsibleParty>
+         </gmd:pointOfContact>
+         <gmd:pointOfContact>
+            <gmd:CI_ResponsibleParty>
+               <gmd:individualName>
+                  <gco:CharacterString>Jacques Baudry</gco:CharacterString>
+               </gmd:individualName>
+               <gmd:organisationName>
+                  <gco:CharacterString>BAGAP UMR 0980 INRAE Agrocampus Ouest ESA</gco:CharacterString>
+               </gmd:organisationName>
+               <gmd:positionName gco:nilReason="missing">
+                  <gco:CharacterString/>
+               </gmd:positionName>
+               <gmd:contactInfo>
+                  <gmd:CI_Contact>
+                     <gmd:phone>
+                        <gmd:CI_Telephone>
+                           <gmd:voice gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:voice>
+                           <gmd:facsimile gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:facsimile>
+                        </gmd:CI_Telephone>
+                     </gmd:phone>
+                     <gmd:address>
+                        <gmd:CI_Address>
+                           <gmd:deliveryPoint gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:deliveryPoint>
+                           <gmd:city gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:city>
+                           <gmd:administrativeArea gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:administrativeArea>
+                           <gmd:postalCode gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:postalCode>
+                           <gmd:country gco:nilReason="missing">
+                              <gco:CharacterString/>
+                           </gmd:country>
+                           <gmd:electronicMailAddress>
+                              <gco:CharacterString>jacques.baudry@inrae.fr</gco:CharacterString>
+                           </gmd:electronicMailAddress>
+                        </gmd:CI_Address>
+                     </gmd:address>
+                  </gmd:CI_Contact>
+               </gmd:contactInfo>
+               <gmd:role>
+                  <gmd:CI_RoleCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_RoleCode"
+                                   codeListValue="author"/>
+               </gmd:role>
+            </gmd:CI_ResponsibleParty>
+         </gmd:pointOfContact>
+         <gmd:resourceMaintenance>
+            <gmd:MD_MaintenanceInformation>
+               <gmd:maintenanceAndUpdateFrequency>
+                  <gmd:MD_MaintenanceFrequencyCode codeListValue="notPlanned"
+                                                   codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_MaintenanceFrequencyCode"/>
+               </gmd:maintenanceAndUpdateFrequency>
+            </gmd:MD_MaintenanceInformation>
+         </gmd:resourceMaintenance>
+         <gmd:graphicOverview xmlns:srv="http://www.isotc211.org/2005/srv">
+            <gmd:MD_BrowseGraphic>
+               <gmd:fileName>
+                  <gco:CharacterString>https://www.osuris.fr/geonetwork/srv/api/records/12a0b625-9ad5-4251-a57a-305e22edef2e/attachments/sad_21_s.png</gco:CharacterString>
+               </gmd:fileName>
+               <gmd:fileDescription>
+                  <gco:CharacterString>thumbnail</gco:CharacterString>
+               </gmd:fileDescription>
+               <gmd:fileType>
+                  <gco:CharacterString>png</gco:CharacterString>
+               </gmd:fileType>
+            </gmd:MD_BrowseGraphic>
+         </gmd:graphicOverview>
+         <gmd:graphicOverview xmlns:srv="http://www.isotc211.org/2005/srv">
+            <gmd:MD_BrowseGraphic>
+               <gmd:fileName>
+                  <gco:CharacterString>https://www.osuris.fr/geonetwork/srv/api/records/12a0b625-9ad5-4251-a57a-305e22edef2e/attachments/sad_21.png</gco:CharacterString>
+               </gmd:fileName>
+               <gmd:fileDescription>
+                  <gco:CharacterString>large_thumbnail</gco:CharacterString>
+               </gmd:fileDescription>
+               <gmd:fileType>
+                  <gco:CharacterString>png</gco:CharacterString>
+               </gmd:fileType>
+            </gmd:MD_BrowseGraphic>
+         </gmd:graphicOverview>
+         <gmd:descriptiveKeywords>
+            <gmd:MD_Keywords>
+               <gmd:keyword>
+                  <gco:CharacterString>Biodiversité</gco:CharacterString>
+               </gmd:keyword>
+               <gmd:type>
+                  <gmd:MD_KeywordTypeCode codeListValue="theme"
+                                          codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_KeywordTypeCode"/>
+               </gmd:type>
+            </gmd:MD_Keywords>
+         </gmd:descriptiveKeywords>
+         <gmd:descriptiveKeywords>
+            <gmd:MD_Keywords>
+               <gmd:keyword>
+                  <gco:CharacterString>Maïs</gco:CharacterString>
+               </gmd:keyword>
+               <gmd:type>
+                  <gmd:MD_KeywordTypeCode codeListValue="theme"
+                                          codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_KeywordTypeCode"/>
+               </gmd:type>
+            </gmd:MD_Keywords>
+         </gmd:descriptiveKeywords>
+         <gmd:descriptiveKeywords>
+            <gmd:MD_Keywords>
+               <gmd:keyword>
+                  <gco:CharacterString>Forêt / milieu végétal</gco:CharacterString>
+               </gmd:keyword>
+               <gmd:keyword>
+                  <gco:CharacterString>Agriculture</gco:CharacterString>
+               </gmd:keyword>
+               <gmd:keyword>
+                  <gco:CharacterString>Ecologie et environnement</gco:CharacterString>
+               </gmd:keyword>
+               <gmd:keyword>
+                  <gco:CharacterString>Paysages et sites</gco:CharacterString>
+               </gmd:keyword>
+               <gmd:type>
+                  <gmd:MD_KeywordTypeCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_KeywordTypeCode"
+                                          codeListValue="theme"/>
+               </gmd:type>
+               <gmd:thesaurusName>
+                  <gmd:CI_Citation>
+                     <gmd:title>
+                        <gco:CharacterString>theme.EnvironnementFR.rdf</gco:CharacterString>
+                     </gmd:title>
+                     <gmd:date>
+                        <gmd:CI_Date>
+                           <gmd:date>
+                              <gco:Date>2017-03-20</gco:Date>
+                           </gmd:date>
+                           <gmd:dateType>
+                              <gmd:CI_DateTypeCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_DateTypeCode"
+                                                   codeListValue="publication"/>
+                           </gmd:dateType>
+                        </gmd:CI_Date>
+                     </gmd:date>
+                     <gmd:identifier>
+                        <gmd:MD_Identifier>
+                           <gmd:code>
+                              <gmx:Anchor xmlns:gmx="http://www.isotc211.org/2005/gmx"
+                                          xmlns:xlink="http://www.w3.org/1999/xlink"
+                                          xlink:href="https://www.osuris.fr/geonetwork/srv/api/registries/vocabularies/external.theme.EnvironnementFR">geonetwork.thesaurus.external.theme.EnvironnementFR</gmx:Anchor>
+                           </gmd:code>
+                        </gmd:MD_Identifier>
+                     </gmd:identifier>
+                  </gmd:CI_Citation>
+               </gmd:thesaurusName>
+            </gmd:MD_Keywords>
+         </gmd:descriptiveKeywords>
+         <gmd:descriptiveKeywords xmlns:gn="http://www.fao.org/geonetwork"
+                                  xmlns:gmx="http://www.isotc211.org/2005/gmx"
+                                  xmlns:srv="http://www.isotc211.org/2005/srv"
+                                  xmlns:xlink="http://www.w3.org/1999/xlink">
+            <gmd:MD_Keywords>
+               <gmd:keyword>
+                  <gco:CharacterString>Installations de suivi environnemental</gco:CharacterString>
+               </gmd:keyword>
+               <gmd:keyword>
+                  <gco:CharacterString>Habitats et biotopes</gco:CharacterString>
+               </gmd:keyword>
+               <gmd:type>
+                  <gmd:MD_KeywordTypeCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_KeywordTypeCode"
+                                          codeListValue="theme"/>
+               </gmd:type>
+               <gmd:thesaurusName>
+                  <gmd:CI_Citation>
+                     <gmd:title>
+                        <gco:CharacterString>Registre de thème INSPIRE</gco:CharacterString>
+                     </gmd:title>
+                     <gmd:date>
+                        <gmd:CI_Date>
+                           <gmd:date>
+                              <gco:Date>2019-06-25</gco:Date>
+                           </gmd:date>
+                           <gmd:dateType>
+                              <gmd:CI_DateTypeCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_DateTypeCode"
+                                                   codeListValue="publication"/>
+                           </gmd:dateType>
+                        </gmd:CI_Date>
+                     </gmd:date>
+                     <gmd:identifier>
+                        <gmd:MD_Identifier>
+                           <gmd:code>
+                              <gmx:Anchor xlink:href="https://www.osuris.fr/geonetwork/srv/api/registries/vocabularies/external.theme.httpinspireeceuropaeutheme-theme">geonetwork.thesaurus.external.theme.httpinspireeceuropaeutheme-theme</gmx:Anchor>
+                           </gmd:code>
+                        </gmd:MD_Identifier>
+                     </gmd:identifier>
+                  </gmd:CI_Citation>
+               </gmd:thesaurusName>
+            </gmd:MD_Keywords>
+         </gmd:descriptiveKeywords>
+         <gmd:resourceConstraints>
+            <gmd:MD_LegalConstraints>
+               <gmd:accessConstraints>
+                  <gmd:MD_RestrictionCode codeListValue="license"
+                                          codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_RestrictionCode"/>
+               </gmd:accessConstraints>
+               <gmd:useConstraints>
+                  <gmd:MD_RestrictionCode codeListValue="restricted"
+                                          codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_RestrictionCode"/>
+               </gmd:useConstraints>
+               <gmd:otherConstraints>
+                  <gco:CharacterString>licence CC-BY-NC 4.0</gco:CharacterString>
+               </gmd:otherConstraints>
+            </gmd:MD_LegalConstraints>
+         </gmd:resourceConstraints>
+         <gmd:resourceConstraints xmlns:gn="http://www.fao.org/geonetwork"
+                                  xmlns:gmx="http://www.isotc211.org/2005/gmx"
+                                  xmlns:srv="http://www.isotc211.org/2005/srv"
+                                  xmlns:xlink="http://www.w3.org/1999/xlink">
+            <gmd:MD_Constraints>
+               <gmd:useLimitation>
+                  <gco:CharacterString>Utilisation libre sous réserve de mentionner la source (a minima le nom du producteur) et la date de sa dernière mise à jour</gco:CharacterString>
+               </gmd:useLimitation>
+            </gmd:MD_Constraints>
+         </gmd:resourceConstraints>
+         <gmd:spatialRepresentationType>
+            <gmd:MD_SpatialRepresentationTypeCode codeListValue="textTable"
+                                                  codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_SpatialRepresentationTypeCode"/>
+         </gmd:spatialRepresentationType>
+         <gmd:spatialResolution xmlns:gn="http://www.fao.org/geonetwork"
+                                xmlns:gmx="http://www.isotc211.org/2005/gmx"
+                                xmlns:srv="http://www.isotc211.org/2005/srv"
+                                xmlns:xlink="http://www.w3.org/1999/xlink">
+            <gmd:MD_Resolution>
+               <gmd:distance>
+                  <gco:Distance uom="m">20</gco:Distance>
+               </gmd:distance>
+            </gmd:MD_Resolution>
+         </gmd:spatialResolution>
+         <gmd:language>
+            <gmd:LanguageCode codeList="http://www.loc.gov/standards/iso639-2/" codeListValue="fre"/>
+         </gmd:language>
+         <gmd:characterSet>
+            <gmd:MD_CharacterSetCode codeListValue="utf8"
+                                     codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_CharacterSetCode"/>
+         </gmd:characterSet>
+         <gmd:topicCategory>
+            <gmd:MD_TopicCategoryCode>farming</gmd:MD_TopicCategoryCode>
+         </gmd:topicCategory>
+         <gmd:extent>
+            <gmd:EX_Extent>
+               <gmd:temporalElement>
+                  <gmd:EX_TemporalExtent>
+                     <gmd:extent>
+                        <gml:TimePeriod gml:id="d2536736e509a1052958">
+                           <gml:beginPosition>2010-09-08</gml:beginPosition>
+                           <gml:endPosition>2008-09-14</gml:endPosition>
+                        </gml:TimePeriod>
+                     </gmd:extent>
+                  </gmd:EX_TemporalExtent>
+               </gmd:temporalElement>
+            </gmd:EX_Extent>
+         </gmd:extent>
+         <gmd:extent>
+            <gmd:EX_Extent>
+               <gmd:geographicElement>
+                  <gmd:EX_GeographicBoundingBox>
+                     <gmd:westBoundLongitude>
+                        <gco:Decimal>-1.6259765625</gco:Decimal>
+                     </gmd:westBoundLongitude>
+                     <gmd:eastBoundLongitude>
+                        <gco:Decimal>-0.9777832031250001</gco:Decimal>
+                     </gmd:eastBoundLongitude>
+                     <gmd:southBoundLatitude>
+                        <gco:Decimal>48.092651367188</gco:Decimal>
+                     </gmd:southBoundLatitude>
+                     <gmd:northBoundLatitude>
+                        <gco:Decimal>48.696899414063</gco:Decimal>
+                     </gmd:northBoundLatitude>
+                  </gmd:EX_GeographicBoundingBox>
+               </gmd:geographicElement>
+            </gmd:EX_Extent>
+         </gmd:extent>
+         <gmd:supplementalInformation>
+            <gco:CharacterString>France, Pleine-Fougères</gco:CharacterString>
+         </gmd:supplementalInformation>
+      </gmd:MD_DataIdentification>
+  </gmd:identificationInfo>
+  <gmd:distributionInfo>
+      <gmd:MD_Distribution>
+         <gmd:distributionFormat>
+            <gmd:MD_Format>
+               <gmd:name>
+                  <gco:CharacterString>ESRI Shapefile</gco:CharacterString>
+               </gmd:name>
+               <gmd:version>
+                  <gco:CharacterString>1.0</gco:CharacterString>
+               </gmd:version>
+            </gmd:MD_Format>
+         </gmd:distributionFormat>
+         <gmd:transferOptions>
+            <gmd:MD_DigitalTransferOptions/>
+         </gmd:transferOptions>
+      </gmd:MD_Distribution>
+  </gmd:distributionInfo>
+  <gmd:dataQualityInfo>
+      <gmd:DQ_DataQuality>
+         <gmd:scope>
+            <gmd:DQ_Scope>
+               <gmd:level>
+                  <gmd:MD_ScopeCode codeListValue="series"
+                                    codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#MD_ScopeCode"/>
+               </gmd:level>
+            </gmd:DQ_Scope>
+         </gmd:scope>
+         <gmd:report xmlns:gn="http://www.fao.org/geonetwork"
+                     xmlns:gmx="http://www.isotc211.org/2005/gmx"
+                     xmlns:srv="http://www.isotc211.org/2005/srv"
+                     xmlns:xlink="http://www.w3.org/1999/xlink">
+            <gmd:DQ_DomainConsistency>
+               <gmd:result>
+                  <gmd:DQ_ConformanceResult>
+                     <gmd:specification>
+                        <gmd:CI_Citation>
+                           <gmd:title>
+                              <gco:CharacterString>L’article 7, paragraphe 1, de la directive 2007/2/CE correspond aux modalités techniques de l’interopérabilité : il s’agit du règlement relatif à l’interopérabilité : règlement n°1253/2013 du 21 octobre 2013 modifiant et complétant le règlement n°1089/2010 du 23 novembre 2010.</gco:CharacterString>
+                           </gmd:title>
+                           <gmd:date>
+                              <gmd:CI_Date>
+                                 <gmd:date>
+                                    <gco:Date>2013-10-21</gco:Date>
+                                 </gmd:date>
+                                 <gmd:dateType>
+                                    <gmd:CI_DateTypeCode codeList="http://standards.iso.org/iso/19139/resources/gmxCodelists.xml#CI_DateTypeCode"
+                                                         codeListValue="publication"/>
+                                 </gmd:dateType>
+                              </gmd:CI_Date>
+                           </gmd:date>
+                        </gmd:CI_Citation>
+                     </gmd:specification>
+                     <gmd:explanation gco:nilReason="missing">
+                        <gco:CharacterString/>
+                     </gmd:explanation>
+                     <gmd:pass>
+                        <gco:Boolean>true</gco:Boolean>
+                     </gmd:pass>
+                  </gmd:DQ_ConformanceResult>
+               </gmd:result>
+            </gmd:DQ_DomainConsistency>
+         </gmd:report>
+         <gmd:lineage>
+            <gmd:LI_Lineage>
+               <gmd:statement>
+                  <gco:CharacterString>Relevé sur le terrain des adventices du maïs</gco:CharacterString>
+               </gmd:statement>
+            </gmd:LI_Lineage>
+         </gmd:lineage>
+      </gmd:DQ_DataQuality>
+  </gmd:dataQualityInfo>
+</gmd:MD_Metadata>
\ No newline at end of file
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test-data/Metadata_validation.txt	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,5 @@
+
+Validation of metadata according to ISO 19139
+ 
+TRUE
+ according to ISO 19139 XML schemas! 
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test-data/Mission.csv	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,2 @@
+"","x"
+"1","SAFE"
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test-data/NDVI.tabular	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,10001 @@
+S2A_Subset	longitude	latitude	NDVI
+234.29	13.7115065213769	3.17883791054367	0.809475381273922
+233.06	13.7124063428304	3.17883903826377	0.814533326859802
+231.57	13.7133061646046	3.17884016519658	0.808063813546791
+228.73	13.7142059866993	3.17884129134209	0.814678963045019
+230.6	13.7151058091144	3.17884241670032	0.812649359747791
+228.85	13.7160056318495	3.17884354127124	0.806605795437084
+229.59	13.7169054549044	3.17884466505487	0.810899033966968
+239.74	13.7178052782789	3.1788457880512	0.808152735556578
+228.84	13.7187051019728	3.17884691026023	0.81364672485546
+217.93	13.7196049259859	3.17884803168196	0.821532180501305
+221.14	13.720504750318	3.17884915231639	0.813394469354217
+226.34	13.7214045749687	3.17885027216352	0.804053528518387
+233.05	13.722304399938	3.17885139122333	0.802659325445255
+237.25	13.7232042252255	3.17885250949585	0.809442899205139
+234.61	13.7241040508311	3.17885362698105	0.811580900151433
+225.7	13.7250038767545	3.17885474367895	0.820858536885687
+243.54	13.7259037029954	3.17885585958953	0.805156185849842
+238.98	13.7268035295538	3.17885697471281	0.814407496583588
+224.3	13.7277033564293	3.17885808904877	0.806504430597208
+229.94	13.7286031836218	3.17885920259741	0.814004957858205
+230.32	13.7295030111309	3.17886031535874	0.834195663335835
+221.94	13.7304028389565	3.17886142733275	0.830148226182174
+221.75	13.7313026670984	3.17886253851944	0.817970615615008
+231.52	13.7322024955563	3.17886364891882	0.826119282944004
+230.78	13.73310232433	3.17886475853087	0.837485155719081
+237.15	13.7340021534193	3.1788658673556	0.807358464103723
+240.64	13.7349019828239	3.178866975393	0.834367581945824
+240.36	13.7358018125437	3.17886808264308	0.814613959603203
+234.42	13.7367016425784	3.17886918910583	0.823334743713733
+232.98	13.7376014729278	3.17887029478125	0.812603727061501
+223.55	13.7385013035916	3.17887139966934	0.817053245524247
+228.45	13.7394011345697	3.1788725037701	0.820890651769377
+234.76	13.7403009658618	3.17887360708353	0.81472573939151
+241.63	13.7412007974676	3.17887470960963	0.800657983613983
+242.54	13.7421006293871	3.17887581134839	0.804551773444016
+233.03	13.7430004616199	3.17887691229981	0.818208709568542
+234.33	13.7439002941658	3.1788780124639	0.828198556142271
+224.33	13.7448001270246	3.17887911184064	0.815919459122387
+219.08	13.7456999601961	3.17888021043005	0.813250047953031
+223.36	13.74659979368	3.17888130823211	0.809531707397978
+231.08	13.7474996274761	3.17888240524683	0.806462838677604
+228.14	13.7483994615842	3.17888350147421	0.822623856627664
+223.55	13.7492992960042	3.17888459691424	0.824117178204669
+235.86	13.7501991307356	3.17888569156692	0.800303742692492
+241.66	13.7510989657784	3.17888678543225	0.803205534643691
+242.49	13.7519988011323	3.17888787851024	0.824298525547548
+241.99	13.752898636797	3.17888897080087	0.83021872061821
+239.49	13.7537984727725	3.17889006230415	0.824182760846283
+231.58	13.7546983090583	3.17889115302007	0.812953085714065
+239.36	13.7555981456544	3.17889224294864	0.7917462194466
+247.4	13.7564979825604	3.17889333208985	0.802430972507897
+242.26	13.7573978197762	3.17889442044371	0.814116487206741
+247.77	13.7582976573015	3.1788955080102	0.816578431872301
+247.25	13.7591974951362	3.17889659478933	0.819701083956995
+244.15	13.7600973332799	3.17889768078111	0.808361251426994
+235.55	13.7609971717325	3.17889876598551	0.814163958835801
+236.54	13.7618970104937	3.17889985040256	0.817860100896017
+259.75	13.7627968495633	3.17890093403223	0.795576202131322
+244.36	13.7636966889412	3.17890201687454	0.81506586995564
+235.82	13.764596528627	3.17890309892948	0.815240243897869
+233.5	13.7654963686205	3.17890418019705	0.828422528097906
+236.56	13.7663962089216	3.17890526067725	0.81758530183727
+235.9	13.7672960495299	3.17890634037008	0.821981600526329
+228.58	13.7681958904453	3.17890741927553	0.812693877551021
+230.77	13.7690957316676	3.17890849739361	0.814535088866951
+238.03	13.7699955731965	3.1789095747243	0.815205860065673
+249.26	13.7708954150318	3.17891065126763	0.797837005182844
+242.17	13.7717952571732	3.17891172702357	0.805513717788723
+239.97	13.7726950996206	3.17891280199213	0.819577189812926
+235.53	13.7735949423737	3.1789138761733	0.813865839229606
+236.81	13.7744947854324	3.1789149495671	0.810959376076675
+233.99	13.7753946287963	3.17891602217351	0.81434132996633
+226.56	13.7762944724653	3.17891709399253	0.82696447102568
+234.9	13.7771943164391	3.17891816502417	0.815875148162782
+243.18	13.7780941607174	3.17891923526842	0.810625802481329
+247.2	13.7789940053002	3.17892030472527	0.818079912683078
+244.53	13.7798938501872	3.17892137339474	0.800925637349623
+236.99	13.780793695378	3.17892244127681	0.813774947309153
+236.15	13.7816935408726	3.17892350837149	0.818908275384339
+244.48	13.7825933866707	3.17892457467878	0.81285030758715
+246.96	13.783493232772	3.17892564019866	0.822940109917245
+249.11	13.7843930791764	3.17892670493115	0.813028720820552
+243.31	13.7852929258836	3.17892776887624	0.826637668551544
+245.91	13.7861927728933	3.17892883203393	0.827443052849893
+244.28	13.7870926202055	3.17892989440422	0.820279603713555
+243.57	13.7879924678198	3.1789309559871	0.808850251453302
+237.38	13.7888923157359	3.17893201678258	0.820047373595924
+236.74	13.7897921639538	3.17893307679065	0.824470693434868
+237.08	13.7906920124732	3.17893413601132	0.814539306201743
+231.93	13.7915918612938	3.17893519444458	0.815760155511675
+233.3	13.7924917104154	3.17893625209042	0.815428377607499
+226.63	13.7933915598378	3.17893730894886	0.818582767494497
+225.4	13.7942914095608	3.17893836501988	0.804200341678165
+220.92	13.7951912595842	3.17893942030349	0.817102388424875
+226.88	13.7960911099076	3.17894047479969	0.799571082443848
+237.82	13.796990960531	3.17894152850847	0.788362376439417
+229.27	13.797890811454	3.17894258142983	0.80738022394191
+226.03	13.7987906626765	3.17894363356377	0.824131714120488
+226.14	13.7996905141983	3.17894468491029	0.815330900855561
+230.98	13.800590366019	3.1789457354694	0.808311508701371
+227.43	13.7115076435281	3.17793343739286	0.818219406213511
+237.82	13.7124074641984	3.17793456479146	0.80178405128955
+231.83	13.7133072851895	3.17793569140299	0.805308964660943
+236.23	13.7142071065011	3.17793681722745	0.807357072355933
+226.69	13.715106928133	3.17793794226484	0.809980033492206
+232.29	13.716006750085	3.17793906651517	0.816304281993822
+222.88	13.7169065723568	3.17794018997841	0.821086482404934
+236.22	13.7178063949482	3.17794131265459	0.806651307850236
+215.04	13.718706217859	3.17794243454369	0.821871568919564
+217.27	13.7196060410889	3.17794355564571	0.830374526226052
+223.88	13.7205058646378	3.17794467596066	0.827732730093467
+223.99	13.7214056885055	3.17794579548853	0.82023039219494
+228.84	13.7223055126916	3.17794691422931	0.810346347052084
+227.93	13.7232053371959	3.17794803218301	0.814443071049708
+236.67	13.7241051620184	3.17794914934964	0.782393959365668
+239.38	13.7250049871586	3.17795026572917	0.78587273299088
+249.23	13.7259048126164	3.17795138132162	0.795058850073328
+233.81	13.7268046383916	3.17795249612698	0.798622089830424
+244.63	13.727704464484	3.17795361014526	0.786546641843109
+225.24	13.7286042908933	3.17795472337644	0.805288324467868
+232.05	13.7295041176193	3.17795583582053	0.828534552981709
+226.54	13.7304039446617	3.17795694747753	0.826437978741478
+223.2	13.7313037720204	3.17795805834743	0.823886758147647
+225.87	13.7322035996952	3.17795916843024	0.819546299392629
+226.72	13.7331034276857	3.17796027772595	0.828981403227636
+228.92	13.7340032559919	3.17796138623456	0.828881231741952
+227.97	13.7349030846133	3.17796249395608	0.829264830593296
+235.8	13.7358029135499	3.17796360089049	0.825696232824114
+242.53	13.7367027428015	3.1779647070378	0.808492859600501
+241.93	13.7376025723677	3.177965812398	0.806587874378085
+234.57	13.7385024022484	3.1779669169711	0.820984978132725
+235.06	13.7394022324433	3.17796802075709	0.817574966623164
+239.26	13.7403020629522	3.17796912375598	0.814914406908044
+239.2	13.7412018937749	3.17797022596775	0.808311714499548
+238.82	13.7421017249112	3.17797132739242	0.793998820107004
+230.6	13.7430015563608	3.17797242802997	0.800489554758388
+224.86	13.7439013881235	3.17797352788041	0.811388579204165
+216.66	13.7448012201991	3.17797462694373	0.812031412814192
+213.08	13.7457010525874	3.17797572521994	0.82094831654322
+229.43	13.7466008852882	3.17797682270903	0.81117385691317
+234.38	13.7475007183011	3.177977919411	0.813709443380347
+237.28	13.7484005516261	3.17797901532585	0.818913599540023
+231.98	13.7493003852628	3.17798011045358	0.824918353064676
+237.51	13.7502002192111	3.17798120479419	0.823851716207545
+242.96	13.7511000534707	3.17798229834767	0.815022500156892
+236.79	13.7519998880414	3.17798339111403	0.826878850029681
+234.49	13.7528997229229	3.17798448309326	0.831109279200371
+240.7	13.7537995581152	3.17798557428536	0.822957103868777
+236.52	13.7546993936178	3.17798666469033	0.820434068940361
+237.43	13.7555992294307	3.17798775430817	0.814698852492894
+251.9	13.7564990655535	3.17798884313888	0.799049975336645
+250.57	13.7573989019861	3.17798993118246	0.809343392380383
+251.6	13.7582987387283	3.1779910184389	0.816970367847412
+249.23	13.7591985757797	3.1779921049082	0.810066307022736
+248.9	13.7600984131402	3.17799319059037	0.814272700103342
+240.64	13.7609982508096	3.17799427548539	0.834111832609323
+244.67	13.7618980887876	3.17799535959328	0.820927299703264
+249.13	13.7627979270741	3.17799644291402	0.81941723975237
+244.38	13.7636977656687	3.17799752544762	0.813053003663678
+235.83	13.7645976045713	3.17799860719408	0.820840302624146
+236.98	13.7654974437816	3.17799968815339	0.827024039789997
+239.22	13.7663972832994	3.17800076832555	0.827223774008696
+228.89	13.7672971231246	3.17800184771057	0.820663379298991
+235.27	13.7681969632568	3.17800292630844	0.809345999240672
+238.06	13.7690968036958	3.17800400411915	0.806985361112799
+247.47	13.7699966444415	3.17800508114271	0.815227219882709
+249.61	13.7708964854936	3.17800615737912	0.796140461879152
+247.74	13.7717963268518	3.17800723282837	0.816694575900983
+242.69	13.772696168516	3.17800830749047	0.800380692861007
+231.6	13.7735960104859	3.17800938136541	0.812093450809009
+232.59	13.7744958527613	3.17801045445319	0.811093135198834
+230.25	13.775395695342	3.17801152675381	0.804519665965449
+231.16	13.7762955382277	3.17801259826727	0.815290383050285
+229.96	13.7771953814183	3.17801366899356	0.821960638664762
+244.86	13.7780952249135	3.17801473893269	0.821713925374952
+246.48	13.778995068713	3.17801580808466	0.801501720556287
+255.46	13.7798949128167	3.17801687644946	0.791764890774792
+250.28	13.7807947572244	3.17801794402709	0.804506189885381
+237.5	13.7816946019357	3.17801901081755	0.812207040225483
+240.15	13.7825944469506	3.17802007682084	0.81877897418428
+235.21	13.7834942922687	3.17802114203695	0.817288568176679
+243.16	13.7843941378898	3.1780222064659	0.81435868650014
+232.31	13.7852939838137	3.17802327010767	0.818506946039915
+238.61	13.7861938300403	3.17802433296226	0.831224161771002
+231.75	13.7870936765692	3.17802539502967	0.810286485082697
+230.93	13.7879935234002	3.17802645630991	0.815151583353965
+224.61	13.7888933705332	3.17802751680297	0.823969516709067
+231.16	13.7897932179678	3.17802857650884	0.815176164322186
+236.69	13.7906930657039	3.17802963542753	0.817237260249273
+230.63	13.7915929137413	3.17803069355904	0.817315280938479
+233.51	13.7924927620796	3.17803175090336	0.80520877498783
+229.52	13.7933926107188	3.1780328074605	0.80791000761035
+219.51	13.7942924596586	3.17803386323045	0.808085499948618
+222.8	13.7951923088986	3.17803491821321	0.814799127553706
+223.53	13.7960921584389	3.17803597240878	0.822096184812408
+231.84	13.796992008279	3.17803702581715	0.809249126638418
+234.92	13.7978918584188	3.17803807843834	0.812938431460045
+233.03	13.798791708858	3.17803913027232	0.814938277833185
+229.8	13.7996915595965	3.17804018131912	0.80503481949892
+233.62	13.800591410634	3.17804123157871	0.816237503786731
+228.63	13.7115087653583	3.17702896422579	0.810060157153215
+235.22	13.7124085852458	3.17703009130288	0.813624508867744
+239.86	13.713308405454	3.17703121759314	0.812611476777603
+235.06	13.7142082259827	3.17703234309654	0.812735252434434
+233.04	13.7151080468317	3.17703346781311	0.816553043531073
+226.77	13.7160078680007	3.17703459174282	0.82484197643266
+232.17	13.7169076894896	3.17703571488569	0.825005097433806
+228.89	13.7178075112981	3.17703683724171	0.811535948359503
+217.79	13.718707333426	3.17703795881088	0.817739975698663
+220.07	13.719607155873	3.1770390795932	0.823981669465866
+218.34	13.720506978639	3.17704019958867	0.83089376464502
+231.65	13.7214068017237	3.17704131879727	0.839171953075545
+231.96	13.7223066251269	3.17704243721903	0.802148210492565
+231.12	13.7232064488483	3.17704355485392	0.814775492995535
+234.62	13.7241062728878	3.17704467170196	0.801040882616938
+231.13	13.7250060972451	3.17704578776313	0.796369315191413
+236.37	13.72590592192	3.17704690303745	0.801386537877263
+238.95	13.7268057469123	3.1770480175249	0.813725188016274
+239.33	13.7277055722218	3.17704913122549	0.80502748203098
+233.07	13.7286053978481	3.17705024413921	0.810051447626968
+229.14	13.7295052237912	3.17705135626606	0.839406046668737
+229.65	13.7304050500507	3.17705246760605	0.830971861182315
+231.02	13.7313048766265	3.17705357815916	0.810226803468759
+238.42	13.7322047035183	3.17705468792541	0.816492156997302
+228.21	13.7331045307259	3.17705579690478	0.835021294095506
+236.42	13.7340043582491	3.17705690509728	0.837584462932252
+233.39	13.7349041860876	3.1770580125029	0.83642671113719
+230.34	13.7358040142413	3.17705911912164	0.824285735756046
+229.42	13.7367038427099	3.17706022495351	0.82197673318831
+239.82	13.7376036714931	3.1770613299985	0.816958078163368
+236.91	13.7385035005909	3.17706243425661	0.818264734357303
+240.63	13.7394033300028	3.17706353772783	0.822457684640721
+240.99	13.7403031597288	3.17706464041217	0.82876856613013
+246.41	13.7412029897686	3.17706574230963	0.819629599061259
+232.62	13.7421028201219	3.1770668434202	0.807263161323951
+231.82	13.7430026507885	3.17706794374388	0.815980417520747
+225.78	13.7439024817683	3.17706904328067	0.82003771805752
+227.72	13.744802313061	3.17707014203058	0.800942394254598
+219.26	13.7457021446663	3.17707123999359	0.811316137242426
+238.05	13.7466019765841	3.1770723371697	0.815301868829203
+239.11	13.7475018088141	3.17707343355893	0.819827174112888
+241.53	13.7484016413561	3.17707452916125	0.834864630669603
+227.82	13.7493014742099	3.17707562397669	0.829111801332808
+230.14	13.7502013073752	3.17707671800522	0.82191362792117
+237.64	13.7511011408518	3.17707781124685	0.814143615286549
+228.79	13.7520009746396	3.17707890370158	0.814626963984734
+222.53	13.7529008087382	3.17707999536941	0.841945226235735
+238.29	13.7538006431474	3.17708108625033	0.832752444573531
+242.15	13.7547004778671	3.17708217634435	0.832020889587034
+247.92	13.755600312897	3.17708326565147	0.814058464647977
+250.21	13.7565001482369	3.17708435417167	0.813232159415418
+250.52	13.7573999838865	3.17708544190497	0.810792457539707
+240.85	13.7582998198457	3.17708652885135	0.809798771846953
+247.3	13.7591996561141	3.17708761501083	0.810485688633239
+251.18	13.7600994926917	3.17708870038338	0.81270958905105
+250.85	13.7609993295781	3.17708978496903	0.816891834480415
+246.76	13.7618991667731	3.17709086876776	0.820170343868729
+242.93	13.7627990042766	3.17709195177957	0.821913330819101
+234.1	13.7636988420882	3.17709303400447	0.830321455522298
+242.49	13.7645986802078	3.17709411544244	0.813361580123442
+243.33	13.7654985186352	3.17709519609349	0.811578260752097
+244	13.76639835737	3.17709627595762	0.809032135084905
+233.99	13.7672981964122	3.17709735503483	0.824912004359657
+238.62	13.7681980357614	3.17709843332511	0.813780163652473
+242.15	13.7690978754175	3.17709951082846	0.802976720314993
+244.4	13.7699977153801	3.17710058754489	0.80652395830111
+263.59	13.7708975556492	3.17710166347438	0.797664966734836
+253.41	13.7717973962244	3.17710273861695	0.829984981820098
+243.72	13.7726972371056	3.17710381297258	0.813198609724422
+237.16	13.7735970782926	3.17710488654128	0.822623877667599
+231.8	13.774496919785	3.17710595932305	0.816425772263561
+238.1	13.7753967615827	3.17710703131788	0.82407116729747
+238.42	13.7762966036854	3.17710810252577	0.825440097755832
+239.36	13.777196446093	3.17710917294673	0.81273829142924
+243.38	13.7780962888051	3.17711024258074	0.804854513646455
+244.29	13.7789961318217	3.17711131142782	0.803472478758774
+248.29	13.7798959751424	3.17711237948795	0.809320659536066
+242.35	13.780795818767	3.17711344676114	0.804760365502724
+233	13.7816956626954	3.17711451324738	0.816706342264779
+244.05	13.7825955069272	3.17711557894667	0.81660985889683
+243.98	13.7834953514623	3.17711664385902	0.816817645176595
+240.41	13.7843951963004	3.17711770798442	0.821396763332247
+229.6	13.7852950414413	3.17711877132287	0.827030851028552
+224.67	13.7861948868848	3.17711983387436	0.828523870888562
+220.74	13.7870947326307	3.17712089563891	0.828263383697071
+215.44	13.7879945786787	3.1771219566165	0.827884812659923
+221.15	13.7888944250287	3.17712301680713	0.833484439686718
+233.38	13.7897942716803	3.17712407621081	0.815708664635072
+225.19	13.7906941186334	3.17712513482753	0.815461207804963
+233.58	13.7915939658877	3.17712619265729	0.801259276644303
+230.21	13.7924938134431	3.17712724970008	0.815368939728634
+226.15	13.7933936612992	3.17712830595592	0.809120716801662
+225.43	13.7942935094559	3.17712936142479	0.80662422216179
+226.16	13.795193357913	3.1771304161067	0.813608157749629
+221	13.7960932066702	3.17713147000164	0.826933096325355
+225.47	13.7969930557273	3.17713252310962	0.816432473568342
+234.03	13.797892905084	3.17713357543062	0.810715850817643
+224.87	13.7987927547402	3.17713462696466	0.822268687924726
+224.28	13.7996926046957	3.17713567771172	0.821892221841387
+238.42	13.8005924549501	3.17713672767182	0.810641513765856
+233.08	13.7115098868676	3.17612449104245	0.810450481256824
+237.76	13.7124097059724	3.17612561779804	0.802458932521035
+234.05	13.7133095253979	3.17612674376702	0.806086014524777
+235.66	13.7142093451439	3.17612786894937	0.811558727129403
+235.06	13.7151091652102	3.17612899334511	0.821455875519045
+241.7	13.7160089855966	3.17613011695422	0.775861931967168
+229.58	13.7169088063028	3.17613123977671	0.810184409868946
+224.68	13.7178086273286	3.17613236181258	0.804764531905274
+219.67	13.7187084486738	3.17613348306182	0.810698105220806
+223.67	13.7196082703381	3.17613460352443	0.822160660649358
+221.66	13.7205080923214	3.17613572320041	0.818026906186671
+231.38	13.7214079146234	3.17613684208977	0.814737589966948
+225.16	13.7223077372439	3.17613796019249	0.812066845404882
+219.81	13.7232075601826	3.17613907750857	0.826359536322636
+227.59	13.7241073834394	3.17614019403803	0.817998899033807
+232.68	13.7250072070141	3.17614130978084	0.829035868348709
+234.79	13.7259070309063	3.17614242473702	0.834494882466978
+234.84	13.7268068551159	3.17614353890656	0.828806004820117
+237.73	13.7277066796426	3.17614465228947	0.830658735220014
+244.13	13.7286065044862	3.17614576488573	0.833598153007168
+238.08	13.7295063296466	3.17614687669534	0.846346308589821
+231.1	13.7304061551234	3.17614798771832	0.826427763383571
+235.35	13.7313059809165	3.17614909795464	0.827633456230312
+234.98	13.7322058070256	3.17615020740432	0.828438766260986
+228.19	13.7331056334505	3.17615131606736	0.838719949052699
+224.97	13.7340054601909	3.17615242394374	0.824904843563183
+226.3	13.7349052872468	3.17615353103347	0.829752274089809
+226.68	13.7358051146177	3.17615463733655	0.825657201361077
+238.19	13.7367049423036	3.17615574285298	0.80927129527519
+237.87	13.7376047703041	3.17615684758275	0.819251623666806
+240.6	13.7385045986192	3.17615795152586	0.8106897967251
+249.59	13.7394044272484	3.17615905468232	0.793375019941867
+250.34	13.7403042561916	3.17616015705212	0.808262373162906
+248.25	13.7412040854487	3.17616125863526	0.811599902060441
+244.79	13.7421039150193	3.17616235943173	0.793375348452683
+234.86	13.7430037449032	3.17616345944154	0.815904365106768
+220.54	13.7439035751003	3.17616455866469	0.814853581947859
+216.43	13.7448034056102	3.17616565710117	0.821333206933055
+214.36	13.7457032364328	3.17616675475099	0.817505928072718
+239.23	13.7466030675679	3.17616785161413	0.821962771547443
+233.06	13.7475028990151	3.17616894769061	0.812710612341447
+230.9	13.7484027307744	3.17617004298041	0.836681441484069
+231.54	13.7493025628454	3.17617113748355	0.83117433138609
+228.39	13.750202395228	3.1761722312	0.826028385855184
+226.66	13.7511022279219	3.17617332412979	0.812795274790896
+236.51	13.7520020609269	3.17617441627289	0.805193618247204
+238.09	13.7529018942427	3.17617550762932	0.821565503982422
+232.2	13.7538017278693	3.17617659819907	0.829394988796089
+239.54	13.7547015618062	3.17617768798214	0.815173078348529
+248.22	13.7556013960534	3.17617877697852	0.801338005240391
+244.91	13.7565012306105	3.17617986518822	0.806583824884975
+253.63	13.7574010654774	3.17618095261124	0.816772890583268
+250.65	13.7583009006538	3.17618203924757	0.809952774409303
+255.4	13.7592007361395	3.17618312509722	0.808932058718119
+259.36	13.7601005719343	3.17618421016017	0.800843706056976
+259.79	13.7610004080379	3.17618529443644	0.812104850648785
+248.81	13.7619002444502	3.17618637792601	0.820147248284304
+235.65	13.7628000811709	3.17618746062889	0.815979170368768
+236.52	13.7636999181998	3.17618854254507	0.810963490314917
+241.01	13.7645997555366	3.17618962367457	0.820556514636818
+240.9	13.7654995931812	3.17619070401736	0.82049627456424
+242.19	13.7663994311333	3.17619178357346	0.823687363755793
+241.41	13.7672992693927	3.17619286234285	0.818762390472011
+237.34	13.7681991079592	3.17619394032555	0.812507028272073
+241.68	13.7690989468325	3.17619501752154	0.819430565705678
+249.77	13.7699987860124	3.17619609393083	0.820910704389368
+249.65	13.7708986254987	3.17619716955342	0.809473514683686
+251.97	13.7717984652912	3.1761982443893	0.809380538882021
+240.15	13.7726983053896	3.17619931843847	0.824953997534762
+240.05	13.7735981457937	3.17620039170093	0.82309892959316
+232.55	13.7744979865034	3.17620146417668	0.820790265407644
+235.88	13.7753978275183	3.17620253586572	0.818719155693868
+234.7	13.7762976688382	3.17620360676805	0.815778870787499
+234.41	13.777197510463	3.17620467688367	0.817602579654987
+242.69	13.7780973523924	3.17620574621257	0.822734664156439
+244.81	13.7789971946262	3.17620681475475	0.815094641246303
+248.23	13.7798970371641	3.17620788251021	0.816116456872674
+236.2	13.780796880006	3.17620894947896	0.811035624748522
+239.26	13.7816967231515	3.17621001566098	0.806334675797013
+242.93	13.7825965666006	3.17621108105629	0.801755817888639
+239	13.7834964103529	3.17621214566486	0.79598071584154
+238.21	13.7843962544082	3.17621320948672	0.811531671384653
+232.43	13.7852960987663	3.17621427252185	0.822479190852322
+242.22	13.7861959434271	3.17621533477025	0.826473396655826
+243.98	13.7870957883901	3.17621639623192	0.822747942083438
+230.95	13.7879956336554	3.17621745690687	0.832482362661808
+218	13.7888954792225	3.17621851679508	0.839216642116084
+219.41	13.7897953250913	3.17621957589656	0.836723147449661
+225.48	13.7906951712616	3.1762206342113	0.823945021135528
+222.58	13.7915950177332	3.17622169173931	0.817902955939766
+228.86	13.7924948645057	3.17622274848059	0.822831765935214
+225.2	13.7933947115791	3.17622380443512	0.822031386556218
+218.97	13.794294558953	3.17622485960292	0.816828592922195
+228.43	13.7951944066272	3.17622591398398	0.823928639238739
+231.17	13.7960942546016	3.17622696757829	0.82224181425518
+228.27	13.7969941028759	3.17622802038587	0.830192253054266
+235.29	13.7978939514498	3.1762290724067	0.816413023978951
+233.98	13.7987938003232	3.17623012364078	0.817277445291118
+229.1	13.7996936494959	3.17623117408812	0.81885941254352
+239.93	13.8005934989675	3.17623222374871	0.808267564856174
+235.79	13.7115110080559	3.17522001784285	0.808386273092246
+239.35	13.7124108263782	3.17522114427694	0.819454766751758
+230.56	13.7133106450213	3.17522226992464	0.812862286158022
+234.19	13.7142104639849	3.17522339478595	0.810137493905412
+231.03	13.7151102832687	3.17522451886085	0.807143191864915
+241.42	13.7160101028726	3.17522564214937	0.812029752538979
+231.22	13.7169099227963	3.17522676465148	0.811265981193289
+230.05	13.7178097430397	3.17522788636719	0.81195799219587
+215.65	13.7187095636024	3.1752290072965	0.819771521827825
+227.16	13.7196093844843	3.1752301274394	0.828857267738332
+230.09	13.7205092056851	3.17523124679591	0.807192030386797
+222.71	13.7214090272046	3.175232365366	0.819805541636076
+224.42	13.7223088490427	3.17523348314969	0.816037624741879
+226.19	13.7232086711989	3.17523460014697	0.821574245372192
+226.8	13.7241084936733	3.17523571635784	0.806181558482781
+229.78	13.7250083164654	3.1752368317823	0.816397327658115
+227.6	13.7259081395751	3.17523794642035	0.816913334656819
+228.76	13.7268079630022	3.17523906027198	0.810598368977827
+228.01	13.7277077867465	3.17524017333719	0.820597980803634
+229.85	13.7286076108077	3.17524128561599	0.81880121678669
+238.49	13.7295074351855	3.17524239710837	0.81440640511942
+231.03	13.7304072598799	3.17524350781434	0.809532853011114
+225.01	13.7313070848904	3.17524461773388	0.831901898861561
+225.93	13.7322069102171	3.17524572686699	0.819294997805218
+220.07	13.7331067358595	3.17524683521369	0.827350433876331
+223.55	13.7340065618175	3.17524794277396	0.82599028994056
+231.54	13.7349063880908	3.1752490495478	0.813163431852595
+229.04	13.7358062146793	3.17525015553522	0.825343291695537
+238.87	13.7367060415826	3.1752512607362	0.802020899620979
+230.15	13.7376058688007	3.17525236515075	0.803099475915896
+238.34	13.7385056963332	3.17525346877888	0.790189465372484
+236.59	13.7394055241799	3.17525457162057	0.80064635873724
+236.9	13.7403053523407	3.17525567367582	0.801387411294532
+246.35	13.7412051808152	3.17525677494464	0.795365985494502
+247.31	13.7421050096033	3.17525787542702	0.791543368185704
+243.87	13.7430048387048	3.17525897512297	0.804991975378207
+233.56	13.7439046681193	3.17526007403247	0.821642750053545
+223.4	13.7448044978467	3.17526117215553	0.82636139937948
+228.64	13.7457043278868	3.17526226949215	0.835926176442168
+236.85	13.7466041582394	3.17526336604232	0.830706681197083
+243.06	13.7475039889041	3.17526446180605	0.815928768714219
+236.09	13.7484038198809	3.17526555678333	0.832805633324849
+236.32	13.7493036511694	3.17526665097417	0.832585949177877
+231.53	13.7502034827695	3.17526774437855	0.817156761154735
+232.76	13.7511033146808	3.17526883699649	0.803778179120844
+234.42	13.7520031469033	3.17526992882797	0.816405984743883
+228.53	13.7529029794367	3.17527101987299	0.827112337300146
+234.48	13.7538028122807	3.17527211013157	0.81540436162776
+248.39	13.7547026454351	3.17527319960368	0.812168326277503
+247.65	13.7556024788997	3.17527428828934	0.822435014693565
+245.79	13.7565023126743	3.17527537618854	0.813826264936941
+252.71	13.7574021467587	3.17527646330128	0.802866538629487
+257.21	13.7583019811526	3.17527754962756	0.809087266725724
+263.45	13.7592018158557	3.17527863516737	0.796897027616603
+259.81	13.760101650868	3.17527971992072	0.796762227480016
+260.1	13.7610014861891	3.17528080388761	0.803462670729416
+252.14	13.7619013218189	3.17528188706803	0.81297987553544
+230.41	13.7628011577571	3.17528296946198	0.821550250561671
+231.97	13.7637009940034	3.17528405106946	0.820413707455272
+237.54	13.7646008305577	3.17528513189046	0.814560888018283
+243.88	13.7655006674198	3.175286211925	0.804436654007206
+251.31	13.7664005045893	3.17528729117306	0.809321456165068
+253.42	13.7673003420662	3.17528836963465	0.803494892080805
+243.07	13.7682001798501	3.17528944730976	0.813431899334908
+244.21	13.7691000179408	3.1752905241984	0.808317148406261
+241.96	13.7699998563382	3.17529160030055	0.823204898306736
+240.12	13.770899695042	3.17529267561622	0.817612291361971
+233.27	13.7717995340519	3.17529375014542	0.808043586560283
+231.56	13.7726993733678	3.17529482388813	0.827301647525793
+235.64	13.7735992129894	3.17529589684435	0.811381889098755
+230.96	13.7744990529165	3.17529696901409	0.821470369188212
+228.62	13.7753988931488	3.17529804039734	0.810497997997998
+231.78	13.7762987336862	3.17529911099411	0.812022893292516
+233.42	13.7771985745285	3.17530018080438	0.815865848434992
+242.61	13.7780984156753	3.17530124982817	0.816280427833784
+244.81	13.7789982571265	3.17530231806546	0.805091311135248
+240.39	13.7798980988819	3.17530338551626	0.797953258423473
+240.13	13.7807979409412	3.17530445218056	0.804406195406207
+248.41	13.7816977833042	3.17530551805837	0.806385866982018
+233	13.7825976259707	3.17530658314968	0.810276402479435
+232.72	13.7834974689404	3.17530764745449	0.814196698043314
+239.26	13.7843973122132	3.1753087109728	0.813580900661356
+240.72	13.7852971557887	3.17530977370461	0.805999730608632
+241.31	13.7861969996669	3.17531083564992	0.820435948081264
+233.65	13.7870968438474	3.17531189680872	0.820652868036512
+236.47	13.7879966883301	3.17531295718102	0.82004888539824
+230.02	13.7888965331146	3.17531401676681	0.834154903410961
+227.79	13.7897963782009	3.17531507556609	0.825227060199821
+228.63	13.7906962235886	3.17531613357886	0.806733741313142
+234.94	13.7915960692776	3.17531719080513	0.815448124820281
+229.46	13.7924959152676	3.17531824724488	0.8193633393886
+227.28	13.7933957615583	3.17531930289812	0.818759985970929
+218.18	13.7942956081497	3.17532035776484	0.815290320695083
+232.37	13.7951954550413	3.17532141184505	0.813577177205091
+229.84	13.7960953022331	3.17532246513874	0.814639655002539
+230.37	13.7969951497248	3.17532351764591	0.814713557364362
+236.65	13.7978949975162	3.17532456936656	0.807598556227441
+239.92	13.798794845607	3.17532562030069	0.817256348629665
+235.48	13.7996946939971	3.1753266704483	0.816357583668677
+245.08	13.8005945426861	3.17532771980939	0.827093710024223
+229.55	13.7115121289233	3.174315544627	0.807554914924952
+232.92	13.7124119464634	3.17431667073959	0.810792365618917
+232.42	13.7133117643242	3.17431779606601	0.808190942884755
+232.14	13.7142115825055	3.17431892060627	0.820397890256315
+232.62	13.7151114010072	3.17432004436035	0.821618327871533
+229.52	13.7160112198288	3.17432116732826	0.822470141130475
+226.17	13.7169110389703	3.17432228950999	0.820311846676651
+221.66	13.7178108584314	3.17432341090555	0.827923120441583
+221.12	13.7187106782119	3.17432453151493	0.823405645730949
+230.05	13.7196104983115	3.17432565133813	0.808320202206029
+234.43	13.7205103187301	3.17432677037515	0.807655345381244
+219.68	13.7214101394674	3.17432788862599	0.820224289049642
+221.86	13.7223099605232	3.17432900609065	0.823026694452714
+230.08	13.7232097818972	3.17433012276912	0.812149492700886
+232.65	13.7241096035893	3.17433123866141	0.816748753610946
+221.59	13.7250094255992	3.17433235376751	0.817876534418721
+230.9	13.7259092479266	3.17433346808742	0.818496785067732
+226.25	13.7268090705715	3.17433458162115	0.824540109994311
+220.36	13.7277088935335	3.17433569436868	0.816880752702123
+221.71	13.7286087168124	3.17433680633002	0.833754258936088
+240.73	13.729508540408	3.17433791750516	0.813469587432734
+236.93	13.7304083643201	3.17433902789411	0.80325854231945
+226.02	13.7313081885484	3.17434013749687	0.822123482938696
+223.37	13.7322080130927	3.17434124631342	0.829702120540991
+219.44	13.7331078379529	3.17434235434378	0.831026091559392
+218.92	13.7340076631286	3.17434346158793	0.827946757029627
+229.49	13.7349074886197	3.17434456804589	0.813876761163786
+226.94	13.7358073144259	3.17434567371764	0.819740886277866
+230.44	13.736707140547	3.17434677860318	0.815221796190654
+234.29	13.7376069669828	3.17434788270252	0.823327476486483
+228.09	13.738506793733	3.17434898601565	0.817311577799312
+229.15	13.7394066207975	3.17435008854258	0.810801497237241
+238.64	13.740306448176	3.17435119028329	0.794642441544739
+261.02	13.7412062758682	3.17435229123779	0.784551455897658
+248.27	13.742106103874	3.17435339140608	0.812754389558158
+251.49	13.7430059321932	3.17435449078815	0.821889664098221
+252.39	13.7439057608255	3.17435558938401	0.808046218889293
+243.65	13.7448055897706	3.17435668719365	0.810824819711538
+242.23	13.7457054190284	3.17435778421708	0.804557196160347
+245.92	13.7466052485987	3.17435888045428	0.814105835034218
+235.44	13.7475050784812	3.17435997590526	0.816273626264706
+238.93	13.7484049086756	3.17436107057002	0.828869622273331
+232.56	13.7493047391818	3.17436216444856	0.823776070653066
+234.16	13.7502045699996	3.17436325754087	0.811859272604882
+232.33	13.7511044011287	3.17436434984696	0.801120601470842
+234.62	13.7520042325689	3.17436544136681	0.811787808494076
+237.07	13.75290406432	3.17436653210044	0.808369560099813
+241.98	13.7538038963817	3.17436762204784	0.807169200603788
+239.72	13.7547037287538	3.174368711209	0.814004250233455
+246.95	13.7556035614361	3.17436979958394	0.818133754363602
+254.4	13.7565033944284	3.17437088717263	0.807888139647696
+254.17	13.7574032277305	3.1743719739751	0.795011123580021
+266.64	13.7583030613421	3.17437305999132	0.804753837972241
+266.61	13.7592028952629	3.17437414522131	0.788134389184258
+263.72	13.7601027294929	3.17437522966505	0.785769507611101
+245.03	13.7610025640317	3.17437631332256	0.808877658162853
+254.38	13.7619023988792	3.17437739619382	0.81062407465566
+245.56	13.762802234035	3.17437847827884	0.80504236478308
+230.46	13.7637020694991	3.17437955957761	0.812175027312081
+228.59	13.7646019052711	3.17438064009014	0.815808562737704
+236.69	13.7655017413508	3.17438171981642	0.816361512090885
+257.06	13.766401577738	3.17438279875645	0.803738523363938
+252.4	13.7673014144326	3.17438387691023	0.799209231903727
+247.88	13.7682012514342	3.17438495427776	0.814648412509825
+248.19	13.7691010887426	3.17438603085903	0.805179930540161
+243	13.7700009263577	3.17438710665405	0.811003989361702
+250.26	13.7709007642791	3.17438818166281	0.79706618855297
+242.45	13.7718006025067	3.17438925588532	0.816221559188007
+235.67	13.7727004410403	3.17439032932157	0.813994146934742
+234.66	13.7736002798795	3.17439140197156	0.823843600147547
+232.95	13.7745001190243	3.17439247383529	0.828971932244518
+232.79	13.7753999584743	3.17439354491275	0.81914662360449
+237.21	13.7762997982294	3.17439461520395	0.821155233847178
+240.49	13.7771996382893	3.17439568470889	0.818245326743011
+240.7	13.7780994786538	3.17439675342756	0.807471116714954
+235.04	13.7789993193227	3.17439782135996	0.818517490074823
+235.84	13.7798991602957	3.17439888850609	0.803061995466656
+238.31	13.7807990015727	3.17439995486595	0.81072246575758
+234.95	13.7816988431534	3.17440102043954	0.809711767229611
+244.33	13.7825986850375	3.17440208522686	0.813129629143985
+259.01	13.7834985272249	3.1744031492279	0.805165606290868
+251.28	13.7843983697153	3.17440421244267	0.806444983978872
+244.92	13.7852982125086	3.17440527487116	0.815992801528931
+239.59	13.7861980556044	3.17440633651338	0.824577659260124
+235.13	13.7870978990026	3.17440739736931	0.815149345099217
+231.7	13.7879977427029	3.17440845743896	0.824727018649699
+231.6	13.7888975867051	3.17440951672233	0.817503748705344
+233.68	13.789797431009	3.17441057521942	0.815169185608315
+231.85	13.7906972756144	3.17441163293022	0.812176967940649
+236.62	13.791597120521	3.17441268985473	0.806062804853469
+237.94	13.7924969657286	3.17441374599296	0.814257020385861
+232.99	13.793396811237	3.1744148013449	0.810118611512643
+225.92	13.794296657046	3.17441585591055	0.821345950407459
+232.77	13.7951965031553	3.17441690968991	0.830891148325359
+228.78	13.7960963495648	3.17441796268297	0.828188939989117
+230.7	13.7969961962741	3.17441901488974	0.815786774064857
+231.28	13.7978960432831	3.17442006631022	0.813673199213339
+243.75	13.7987958905916	3.1744211169444	0.807641935570091
+253.04	13.7996957381993	3.17442216679228	0.796001393981636
+247.39	13.8005955861059	3.17442321585387	0.810090711228619
+233.24	13.7115132494697	3.1734110713949	0.80518250122776
+241.03	13.7124130662278	3.17341219718599	0.79472794704474
+228.45	13.7133128833066	3.17341332219114	0.808828376363494
+235.45	13.7142127007059	3.17341444641034	0.799023045293724
+235.7	13.7151125184255	3.17341556984359	0.810440290742274
+226	13.7160123364652	3.1734166924909	0.819772581776057
+227.34	13.7169121548247	3.17341781435226	0.828940785509522
+218.9	13.7178119735037	3.17341893542766	0.830190496654639
+222.98	13.7187117925022	3.17342005571711	0.811973566937796
+236.58	13.7196116118198	3.17342117522061	0.80350885444839
+222.98	13.7205114314564	3.17342229393815	0.819550088387875
+226.73	13.7214112514116	3.17342341186974	0.820017535731925
+218.8	13.7223110716854	3.17342452901537	0.821762339349729
+232.99	13.7232108922774	3.17342564537503	0.810220755754576
+241.15	13.7241107131875	3.17342676094874	0.823313500979634
+229.13	13.7250105344153	3.17342787573648	0.82009739225413
+228.16	13.7259103559608	3.17342898973826	0.823442350458813
+233.98	13.7268101778236	3.17343010295407	0.820436316607485
+222.27	13.7277100000036	3.17343121538392	0.830103173029066
+216.95	13.7286098225004	3.1734323270278	0.842996089724587
+223.66	13.729509645314	3.17343343788571	0.839028377740351
+229.38	13.730409468444	3.17343454795765	0.828681990003404
+223.74	13.7313092918903	3.17343565724362	0.826278837985046
+221.33	13.7322091156526	3.17343676574361	0.830078691050498
+224.29	13.7331089397307	3.17343787345763	0.817474711152108
+222.82	13.7340087641244	3.17343898038567	0.822264900206206
+227.58	13.7349085888335	3.17344008652774	0.820211296808482
+232.64	13.7358084138576	3.17344119188383	0.820446174691323
+229.59	13.7367082391967	3.17344229645393	0.829443067502551
+230.64	13.7376080648504	3.17344340023806	0.82134328301901
+235.82	13.7385078908186	3.1734445032362	0.823295966725391
+228.94	13.739407717101	3.17344560544835	0.825764674195494
+231.41	13.7403075436974	3.17344670687453	0.821120140065085
+249.41	13.7412073706077	3.17344780751471	0.799476116285505
+242.2	13.7421071978314	3.17344890736891	0.810403598611608
+243.26	13.7430070253685	3.17345000643711	0.816114371929566
+246.4	13.7439068532187	3.17345110471933	0.807248563546858
+251.29	13.7448066813818	3.17345220221555	0.817142328573157
+244.63	13.7457065098576	3.17345329892578	0.822975614024853
+243.9	13.7466063386458	3.17345439485001	0.814516188252227
+236.59	13.7475061677462	3.17345548998825	0.819257837492003
+245.38	13.7484059971586	3.17345658434048	0.829166218151334
+232.55	13.7493058268827	3.17345767790672	0.821256703870126
+231.92	13.7502056569185	3.17345877068696	0.808564373105848
+232.34	13.7511054872655	3.1734598626812	0.834470762346307
+227.54	13.7520053179236	3.17346095388943	0.825743411933117
+235.51	13.7529051488926	3.17346204431166	0.825793456366705
+246.69	13.7538049801722	3.17346313394788	0.793786515666762
+248.26	13.7547048117623	3.1734642227981	0.806998501447849
+252.13	13.7556046436625	3.17346531086231	0.798106490356402
+249.26	13.7565044758728	3.1734663981405	0.817064944384643
+256.92	13.7574043083927	3.17346748463269	0.789219909795118
+258.76	13.7583041412222	3.17346857033886	0.800103611064494
+262.52	13.759203974361	3.17346965525902	0.805290337096593
+258.17	13.7601038078089	3.17347073939316	0.795718530524041
+254.77	13.7610036415657	3.17347182274129	0.818077819263917
+251.63	13.761903475631	3.17347290530339	0.805394491418878
+240.39	13.7628033100048	3.17347398707948	0.810607538590784
+241.32	13.7637031446868	3.17347506806955	0.801826694908506
+229.48	13.7646029796767	3.1734761482736	0.818173302838944
+231.06	13.7655028149743	3.17347722769162	0.81721586525855
+248.24	13.7664026505795	3.17347830632362	0.799623434558082
+253.37	13.7673024864919	3.17347938416959	0.808164452046777
+251.79	13.7682023227114	3.17348046122953	0.812731907448188
+245.37	13.7691021592378	3.17348153750345	0.8155476616857
+249.28	13.7700019960707	3.17348261299133	0.814163806867189
+242.43	13.7709018332101	3.17348368769319	0.815546289083383
+246.76	13.7718016706556	3.17348476160901	0.812754798309006
+248.47	13.772701508407	3.1734858347388	0.804155476601669
+237.67	13.7736013464642	3.17348690708255	0.824525836009311
+231.17	13.7745011848269	3.17348797864026	0.81773215798898
+245.55	13.7754010234948	3.17348904941194	0.824505895799069
+250.39	13.7763008624678	3.17349011939758	0.807175962323203
+245.9	13.7772007017456	3.17349118859718	0.814791565293941
+240.06	13.778100541328	3.17349225701073	0.817964204987587
+229.6	13.7790003812148	3.17349332463825	0.813720644235218
+241.02	13.7799002214057	3.17349439147971	0.805590856212638
+235.37	13.7808000619005	3.17349545753513	0.807173967573484
+236.86	13.7816999026991	3.17349652280451	0.807650315687227
+247.31	13.7825997438011	3.17349758728784	0.816815791271088
+252.41	13.7834995852064	3.17349865098511	0.801177012744676
+254.35	13.7843994269147	3.17349971389634	0.806869705615642
+239.78	13.7852992689258	3.17350077602151	0.816840707523094
+237.69	13.7861991112395	3.17350183736063	0.821787040499855
+242.15	13.7870989538556	3.17350289791369	0.814188833058083
+248.52	13.7879987967738	3.1735039576807	0.8228974466876
+244.89	13.7888986399939	3.17350501666165	0.817608792582402
+236.59	13.7897984835156	3.17350607485654	0.812309426090293
+236.69	13.7906983273389	3.17350713226537	0.809288143544037
+237.74	13.7915981714634	3.17350818888814	0.810644307007929
+240.23	13.7924980158889	3.17350924472484	0.811502410800386
+231.24	13.7933978606152	3.17351029977548	0.81347682891631
+222.61	13.794297705642	3.17351135404006	0.82456018785849
+229.7	13.7951975509692	3.17351240751857	0.831693903036852
+229.14	13.7960973965965	3.17351346021101	0.822945012356986
+235.42	13.7969972425237	3.17351451211738	0.820598507879273
+244.17	13.7978970887506	3.17351556323768	0.821761748697627
+245.29	13.7987969352769	3.17351661357191	0.817546878558595
+239.5	13.7996967821025	3.17351766312007	0.815226657211615
+238.75	13.800596629227	3.17351871188215	0.812744889590864
+232.65	13.7115143696952	3.17250659814655	0.819949341934415
+231.07	13.7124141856715	3.17250772361614	0.818176295486301
+226.14	13.7133140019685	3.17250884830002	0.817960131604413
+232.45	13.7142138185861	3.17250997219817	0.807209875758887
+230.61	13.7151136355239	3.1725110953106	0.808896893080238
+228.74	13.7160134527817	3.1725122176373	0.810727499295919
+231.08	13.7169132703594	3.17251333917828	0.817686963385484
+226.15	13.7178130882567	3.17251445993353	0.824912339914871
+220.49	13.7187129064734	3.17251557990306	0.815738490120181
+221.55	13.7196127250092	3.17251669908685	0.815572331460674
+224.23	13.720512543864	3.17251781748491	0.811737195134459
+223.13	13.7214123630374	3.17251893509725	0.827635062503086
+217.56	13.7223121825294	3.17252005192384	0.824920704688818
+236.25	13.7232120023396	3.1725211679647	0.819377116179169
+227.16	13.7241118224678	3.17252228321983	0.822476403031571
+238.75	13.7250116429139	3.17252339768921	0.82193695891189
+238.16	13.7259114636775	3.17252451137286	0.825518785165467
+230.65	13.7268112847585	3.17252562427077	0.826421675581404
+227.23	13.7277111061567	3.17252673638293	0.836115823095652
+221.21	13.7286109278718	3.17252784770935	0.83658050829112
+229.67	13.7295107499035	3.17252895825003	0.819448001566808
+239.18	13.7304105722518	3.17253006800496	0.822551977281859
+221.4	13.7313103949162	3.17253117697414	0.821492452707335
+213.59	13.7322102178967	3.17253228515757	0.832051257820031
+222.14	13.733110041193	3.17253339255525	0.815495948784247
+234.85	13.7340098648049	3.17253449916718	0.817961284649178
+243.39	13.7349096887321	3.17253560499336	0.822544396472168
+241.94	13.7358095129744	3.17253671003378	0.823541145710887
+226.19	13.7367093375317	3.17253781428845	0.82418975813279
+231.77	13.7376091624036	3.17253891775736	0.822973461512922
+236.53	13.73850898759	3.17254002044051	0.826101751388598
+236.84	13.7394088130905	3.1725411223379	0.810153092606499
+241.37	13.7403086389051	3.17254222344953	0.807845844463787
+253.77	13.7412084650335	3.1725433237754	0.810246719233722
+251.39	13.7421082914755	3.1725444233155	0.814586676329003
+248.06	13.7430081182307	3.17254552206984	0.812054479186649
+239.53	13.7439079452991	3.17254662003841	0.808915403422983
+245.42	13.7448077726804	3.17254771722122	0.815631113734487
+248.55	13.7457076003743	3.17254881361825	0.805724615372471
+248.09	13.7466074283807	3.17254990922951	0.803499408909314
+245.58	13.7475072566992	3.172551004055	0.81349232444123
+238.83	13.7484070853298	3.17255209809472	0.830080715194518
+236.06	13.7493069142721	3.17255319134867	0.826784466228204
+233.15	13.750206743526	3.17255428381683	0.822518046171381
+236.36	13.7511065730912	3.17255537549922	0.818120860372073
+242.68	13.7520064029674	3.17255646639583	0.822492244773046
+232.26	13.7529062331546	3.17255755650666	0.818418756181279
+245.1	13.7538060636524	3.17255864583171	0.800184859748575
+245.23	13.7547058944606	3.17255973437097	0.808910503747229
+240.22	13.755605725579	3.17256082212446	0.816294573289853
+250.08	13.7565055570073	3.17256190909215	0.820243059905855
+252.94	13.7574053887455	3.17256299527406	0.797599740512488
+265.34	13.7583052207931	3.17256408067018	0.798329206556799
+261.91	13.7592050531501	3.17256516528051	0.808729285688939
+256.46	13.7601048858161	3.17256624910505	0.806019340118069
+253.07	13.761004718791	3.1725673321438	0.806313309249255
+251.63	13.7619045520745	3.17256841439675	0.817808045037683
+240.67	13.7628043856664	3.17256949586391	0.81484379795004
+232.56	13.7637042195665	3.17257057654527	0.807886655328937
+235.07	13.7646040537745	3.17257165644084	0.815751057676126
+238.32	13.7655038882903	3.17257273555061	0.811853535450816
+237.78	13.7664037231136	3.17257381387457	0.815234797992893
+256.5	13.7673035582442	3.17257489141274	0.809601017904208
+264.06	13.7682033936818	3.1725759681651	0.792376804115888
+246.73	13.7691032294263	3.17257704413166	0.803967167741124
+244.03	13.7700030654774	3.17257811931241	0.800481383917881
+245.44	13.7709029018349	3.17257919370735	0.799216845806529
+236.63	13.7718027384985	3.17258026731649	0.817962099581044
+237.16	13.7727025754681	3.17258134013982	0.813731157972336
+242.57	13.7736024127434	3.17258241217733	0.818704394890036
+247.08	13.7745022503242	3.17258348342904	0.814709188025583
+246.7	13.7754020882102	3.17258455389493	0.829111533763622
+250.76	13.7763019264013	3.172585623575	0.816140789942744
+247.01	13.7772017648972	3.17258669246926	0.815128760998882
+230.35	13.7781016036978	3.1725877605777	0.817954249509261
+234.08	13.7790014428026	3.17258882790033	0.817690057924944
+235.62	13.7799012822117	3.17258989443713	0.805737990958175
+240.16	13.7808011219246	3.17259096018811	0.822550380838598
+247.31	13.7817009619413	3.17259202515327	0.820634757637028
+256.36	13.7826008022614	3.1725930893326	0.814210694117173
+257.17	13.7835006428848	3.17259415272611	0.805482871665313
+263.98	13.7844004838113	3.1725952153338	0.80256934349658
+259.94	13.7853003250405	3.17259627715565	0.793412026064034
+257.13	13.7862001665723	3.17259733819168	0.811909200085466
+251.7	13.7871000084064	3.17259839844187	0.80915508995673
+244.34	13.7879998505427	3.17259945790623	0.814540037019759
+234.1	13.7888996929809	3.17260051658476	0.806213480474957
+236.57	13.7897995357208	3.17260157447746	0.820531292550363
+229.38	13.7906993787622	3.17260263158432	0.817755823261808
+236.98	13.7915992221048	3.17260368790534	0.806558150507195
+235.04	13.7924990657483	3.17260474344052	0.803466502765827
+230.09	13.7933989096927	3.17260579818987	0.825829691611053
+224.49	13.7942987539377	3.17260685215337	0.82362869528781
+231	13.795198598483	3.17260790533103	0.826317878191077
+229.73	13.7960984433284	3.17260895772285	0.822147014522937
+239.05	13.7969982884737	3.17261000932882	0.81891300049616
+249.77	13.7978981339186	3.17261106014895	0.82339162477188
+248.9	13.798797979663	3.17261211018322	0.80650444372657
+230.14	13.7996978257067	3.17261315943165	0.816119482160758
+228.74	13.8005976720493	3.17261420789423	0.816261938327741
+233.87	13.7115154895997	3.17160212488196	0.820106891701828
+235.46	13.7124153047945	3.17160325003006	0.817288165299458
+231.88	13.7133151203099	3.17160437439266	0.803903204472542
+227.84	13.7142149361459	3.17160549796976	0.815340384668256
+226.44	13.7151147523022	3.17160662076136	0.811361484419749
+220.11	13.7160145687784	3.17160774276747	0.822618116531113
+225.9	13.7169143855746	3.17160886398807	0.817961912464708
+228.59	13.7178142026903	3.17160998442317	0.811680868507661
+235.19	13.7187140201254	3.17161110407277	0.807405830218738
+226.87	13.7196138378796	3.17161222293686	0.820477153444225
+224.04	13.7205136559528	3.17161334101544	0.829401778053634
+226.39	13.7214134743447	3.17161445830852	0.827521039309843
+229.01	13.7223132930551	3.17161557481608	0.82288983507884
+231.26	13.7232131120837	3.17161669053814	0.828436425801671
+231.96	13.7241129314304	3.17161780547468	0.832493996044862
+235.69	13.7250127510949	3.17161891962571	0.827398822238901
+232.53	13.7259125710769	3.17162003299123	0.81460663582048
+218.82	13.7268123913764	3.17162114557123	0.819474431309866
+229.29	13.7277122119929	3.17162225736571	0.817589403571591
+233.67	13.7286120329264	3.17162336837467	0.831890634668867
+230.67	13.7295118541766	3.17162447859811	0.825662289122325
+229.93	13.7304116757432	3.17162558803603	0.823190131610189
+222.39	13.7313114976261	3.17162669668843	0.832675120986259
+220.38	13.732211319825	3.1716278045553	0.829541503972364
+221.65	13.7331111423397	3.17162891163665	0.823186526097349
+234.31	13.73401096517	3.17163001793247	0.829686639438655
+243.99	13.7349107883156	3.17163112344276	0.821369335307021
+235.73	13.7358106117764	3.17163222816751	0.809521586568012
+237.04	13.736710435552	3.17163333210674	0.800657050921446
+233.26	13.7376102596423	3.17163443526044	0.822597818899138
+236.1	13.7385100840471	3.1716355376286	0.827634248806836
+228.4	13.7394099087661	3.17163663921123	0.837635978756365
+237.37	13.7403097337991	3.17163774000832	0.813186897057028
+244.19	13.7412095591458	3.17163884001987	0.806479737080517
+243.07	13.7421093848062	3.17163993924588	0.809372315964212
+251.86	13.7430092107798	3.17164103768635	0.805621463770761
+247.58	13.7439090370666	3.17164213534128	0.814799326543006
+239.81	13.7448088636663	3.17164323221066	0.822485643849368
+249.03	13.7457086905786	3.1716443282945	0.803761819692091
+244.68	13.7466085178033	3.1716454235928	0.823095630344395
+236.94	13.7475083453403	3.17164651810554	0.824723260366613
+230.38	13.7484081731892	3.17164761183274	0.831322814583912
+237.76	13.7493080013499	3.17164870477439	0.839462768851802
+235.58	13.7502078298222	3.17164979693048	0.827698603582583
+236.06	13.7511076586057	3.17165088830102	0.808068191862632
+239.58	13.7520074877004	3.17165197888601	0.811038186157518
+242.1	13.7529073171059	3.17165306868544	0.808835070767087
+244.14	13.7538071468221	3.17165415769932	0.814889109267941
+237.37	13.7547069768487	3.17165524592763	0.817205895210616
+243.17	13.7556068071854	3.17165633337039	0.816231758299537
+247.96	13.7565066378322	3.17165742002759	0.815932964919828
+248.78	13.7574064687887	3.17165850589922	0.814335354132781
+268.69	13.7583063000547	3.17165959098529	0.796377200002937
+267.69	13.75920613163	3.17166067528579	0.809194117141137
+252.76	13.7601059635144	3.17166175880073	0.827743707032067
+245.29	13.7610057957077	3.1716628415301	0.828872870831894
+242.08	13.7619056282095	3.1716639234739	0.834309974101273
+239.26	13.7628054610198	3.17166500463213	0.810881886549542
+234.75	13.7637052941383	3.17166608500479	0.81540904378524
+238.22	13.7646051275647	3.17166716459187	0.817763630289789
+234	13.7655049612988	3.17166824339338	0.80852214628908
+242.05	13.7664047953405	3.17166932140932	0.80966066185347
+254.85	13.7673046296894	3.17167039863968	0.817488719998627
+243.92	13.7682044643454	3.17167147508446	0.797986701293689
+249.56	13.7691042993082	3.17167255074366	0.805476198355008
+239.8	13.7700041345777	3.17167362561727	0.813690964349462
+248.34	13.7709039701535	3.17167469970531	0.800189167321915
+250.13	13.7718038060355	3.17167577300776	0.805388489917097
+247.74	13.7727036422234	3.17167684552463	0.819688768606225
+246.67	13.7736034787171	3.17167791725591	0.825705668978361
+246.34	13.7745033155162	3.1716789882016	0.804201362322931
+243.82	13.7754031526206	3.17168005836171	0.812080435268237
+246.91	13.77630299003	3.17168112773622	0.824499558460224
+246.51	13.7772028277443	3.17168219632514	0.818075464992299
+254.67	13.7781026657632	3.17168326412847	0.800319798806188
+240.52	13.7790025040864	3.17168433114621	0.814338972028342
+252.51	13.7799023427138	3.17168539737834	0.803304376930216
+248.82	13.7808021816451	3.17168646282489	0.814545698944806
+253.74	13.7817020208801	3.17168752748583	0.804662421722886
+264.84	13.7826018604185	3.17168859136117	0.798116678505728
+264.73	13.7835017002603	3.17168965445092	0.798042049983379
+253.8	13.784401540405	3.17169071675506	0.801313811085137
+261.1	13.7853013808526	3.1716917782736	0.785895580060648
+252.37	13.7862012216027	3.17169283900653	0.802947305862159
+253.37	13.7871010626552	3.17169389895385	0.807673102842404
+248.9	13.7880009040098	3.17169495811557	0.802228047701954
+238.01	13.7889007456663	3.17169601649168	0.817158561910864
+236.55	13.7898005876245	3.17169707408218	0.807982697132225
+231.6	13.7907004298842	3.17169813088707	0.805029946031328
+231.64	13.7916002724451	3.17169918690635	0.817588598998873
+232.19	13.792500115307	3.17170024214001	0.814981469696403
+231.31	13.7933999584697	3.17170129658806	0.819570880996586
+235.42	13.794299801933	3.17170235025049	0.819932449080936
+235.14	13.7951996456966	3.1717034031273	0.815192161849534
+232.02	13.7960994897603	3.1717044552185	0.830027981307333
+236.56	13.7969993341239	3.17170550652407	0.814894430844553
+236.95	13.7978991787872	3.17170655704402	0.804073400300562
+246.25	13.7987990237499	3.17170760677835	0.80054212261856
+241.17	13.7996988690119	3.17170865572705	0.805347763807098
+239.15	13.8005987145728	3.17170970389013	0.806447057162024
+239.42	13.7115166091833	3.17069765160114	0.816571667098483
+230.95	13.7124164235967	3.17069877642774	0.820628677063374
+239.01	13.7133162383309	3.17069990046906	0.788439821465611
+235.05	13.7142160533855	3.17070102372511	0.818515898944312
+228.55	13.7151158687604	3.17070214619589	0.816105494437362
+220.12	13.7160156844553	3.1707032678814	0.818130784223031
+215.71	13.7169155004701	3.17070438878162	0.817978106380031
+220.15	13.7178153168045	3.17070550889657	0.827530163525365
+224.16	13.7187151334582	3.17070662822624	0.813147899257874
+233.02	13.7196149504311	3.17070774677063	0.805859854566059
+224.05	13.720514767723	3.17070886452974	0.82177070220148
+235.97	13.7214145853335	3.17070998150356	0.824931650703409
+232.78	13.7223144032625	3.1707110976921	0.82124058597827
+225.89	13.7232142215098	3.17071221309535	0.832959402102352
+229.29	13.7241140400751	3.17071332771331	0.826921678423387
+236.64	13.7250138589583	3.17071444154599	0.829752643625707
+236.86	13.725913678159	3.17071555459337	0.82493271742753
+227.95	13.726813497677	3.17071666685546	0.832557032849768
+234.94	13.7277133175123	3.17071777833226	0.827016677090576
+240.8	13.7286131376644	3.17071888902377	0.818081113144491
+239.03	13.7295129581332	3.17071999892997	0.824721888445289
+240.16	13.7304127789185	3.17072110805088	0.835085162274384
+216.45	13.73131260002	3.17072221638649	0.824274442855165
+224.38	13.7322124214375	3.17072332393681	0.822397262581754
+225.53	13.7331122431709	3.17072443070182	0.823399015724587
+242.28	13.7340120652198	3.17072553668153	0.813570713898372
+247.08	13.734911887584	3.17072664187593	0.813150268771614
+245.31	13.7358117102634	3.17072774628503	0.805012308936641
+238.06	13.7367115332576	3.17072884990882	0.809920565409777
+235.63	13.7376113565666	3.1707299527473	0.815004638571624
+242.61	13.73851118019	3.17073105480047	0.821116931663601
+236.11	13.7394110041276	3.17073215606833	0.823383952880832
+236.84	13.7403108283792	3.17073325655088	0.826163950021038
+242.16	13.7412106529446	3.17073435624812	0.822111914320155
+239.82	13.7421104778236	3.17073545516004	0.814983807015951
+246.51	13.7430103030158	3.17073655328664	0.82605419565646
+249.86	13.7439101285212	3.17073765062793	0.804066628727871
+242.22	13.7448099543395	3.1707387471839	0.816676558536558
+244.95	13.7457097804704	3.17073984295454	0.819511716422618
+239.53	13.7466096069138	3.17074093793987	0.815655064167667
+239.65	13.7475094336693	3.17074203213987	0.816902974289039
+234.69	13.7484092607369	3.17074312555455	0.815697151424288
+226.67	13.7493090881162	3.1707442181839	0.82980206840454
+228.31	13.7502089158071	3.17074531002792	0.822240794982288
+225.75	13.7511087438092	3.17074640108662	0.819213987580972
+241.61	13.7520085721225	3.17074749135998	0.798248027336196
+248.12	13.7529084007466	3.17074858084802	0.807793371155569
+244.25	13.7538082296814	3.17074966955072	0.803350263566885
+241.68	13.7547080589266	3.17075075746808	0.8048225478063
+249.91	13.7556078884819	3.17075184460012	0.802819926663496
+247.16	13.7565077183473	3.17075293094681	0.811661862506829
+250.22	13.7574075485224	3.17075401650817	0.808771989519888
+256.82	13.758307379007	3.17075510128419	0.804520860433988
+268.92	13.7592072098009	3.17075618527487	0.805407070895255
+261.77	13.7601070409039	3.1707572684802	0.81727216587643
+249.27	13.7610068723157	3.17075835090019	0.820162892765902
+245.44	13.7619067040362	3.17075943253484	0.81836821370513
+232.43	13.7628065360651	3.17076051338414	0.824111717321323
+227.53	13.7637063684021	3.1707615934481	0.822419750770049
+240.21	13.7646062010471	3.1707626727267	0.80724044904708
+243.9	13.7655060339998	3.17076375121996	0.814688172526789
+254.41	13.7664058672601	3.17076482892786	0.82054936825067
+248.23	13.7673057008276	3.17076590585041	0.803521928049423
+242.81	13.7682055347021	3.17076698198761	0.817335261637448
+241.99	13.7691053688835	3.17076805733945	0.819182463558794
+233.56	13.7700052033716	3.17076913190594	0.815435444353701
+241.25	13.770905038166	3.17077020568707	0.809222406452066
+245.99	13.7718048732665	3.17077127868284	0.808814766368723
+240.59	13.772704708673	3.17077235089324	0.819114492620772
+243.96	13.7736045443852	3.17077342231829	0.814306571495989
+244.18	13.774504380403	3.17077449295797	0.807761257385853
+243.69	13.7754042167259	3.17077556281229	0.813595037937736
+244.71	13.7763040533539	3.17077663188124	0.815216619517245
+250.31	13.7772038902868	3.17077770016483	0.809275826768149
+248.82	13.7781037275242	3.17077876766304	0.804879165664961
+250.59	13.779003565066	3.17077983437589	0.803693043770792
+249.58	13.7799034029119	3.17078090030336	0.80452452636498
+259.07	13.7808032410618	3.17078196544547	0.800118317495264
+248.29	13.7817030795153	3.1707830298022	0.805250581870428
+258.83	13.7826029182724	3.17078409337355	0.805254919996736
+253.97	13.7835027573327	3.17078515615953	0.793942316814775
+250.8	13.784402596696	3.17078621816013	0.812291389142507
+249.66	13.7853024363621	3.17078727937535	0.815424196833541
+249.7	13.7862022763308	3.17078833980519	0.811534716500637
+254.1	13.7871021166018	3.17078939944965	0.80722579307485
+255.07	13.788001957175	3.17079045830872	0.812690563569235
+245.77	13.78890179805	3.17079151638241	0.821968942682631
+237.76	13.7898016392268	3.17079257367072	0.805210162035636
+229.74	13.790701480705	3.17079363017364	0.818977640952928
+235.77	13.7916013224845	3.17079468589117	0.815512137359384
+221.08	13.7925011645649	3.17079574082331	0.818857044736663
+240.19	13.7934010069462	3.17079679497006	0.805511946370251
+238.79	13.794300849628	3.17079784833142	0.821892090441597
+236.66	13.7952006926101	3.17079890090739	0.823851845908658
+231.47	13.7961005358924	3.17079995269796	0.830788822275322
+231.35	13.7970003794745	3.17080100370313	0.816459558523436
+233.83	13.7979002233563	3.17080205392291	0.817071691705956
+237.46	13.7988000675376	3.17080310335729	0.81083488228005
+242.19	13.7996999120181	3.17080415200627	0.810746782964518
+244.73	13.8005997567975	3.17080519986984	0.816190415147551
+233.16	13.711517728446	3.16979317830408	0.815781167806418
+225.46	13.7124175420783	3.16979430280918	0.80898006422482
+231.19	13.7133173560313	3.16979542652924	0.815759964924397
+228.79	13.7142171703048	3.16979654946424	0.811458547623946
+225.07	13.7151169848986	3.1697976716142	0.817985592099938
+221.48	13.7160167998124	3.1697987929791	0.816578178505231
+227.01	13.7169166150461	3.16979991355895	0.809053313423036
+217.25	13.7178164305993	3.16980103335375	0.824006100146668
+229.42	13.7187162464719	3.16980215236349	0.81989366160092
+233.77	13.7196160626637	3.16980327058818	0.810518485908812
+228.29	13.7205158791744	3.16980438802781	0.812260307523208
+230.69	13.7214156960038	3.16980550468238	0.82875117267259
+228.36	13.7223155131517	3.16980662055189	0.821791953693794
+225.72	13.7232153306179	3.16980773563633	0.805401444998474
+228.35	13.7241151484021	3.16980884993572	0.823568342259007
+239.93	13.7250149665041	3.16980996345004	0.830796194999223
+231.98	13.7259147849237	3.16981107617929	0.820134748101497
+229.24	13.7268146036606	3.16981218812347	0.83375546379641
+232.49	13.7277144227147	3.16981329928259	0.817340086808366
+240.48	13.7286142420856	3.16981440965664	0.81832497738584
+237.69	13.7295140617733	3.16981551924561	0.826015235282465
+231.31	13.7304138817775	3.16981662804952	0.831836249797108
+219.86	13.7313137020978	3.16981773606834	0.826849603127591
+227.05	13.7322135227342	3.16981884330209	0.825388626432253
+239.27	13.7331133436864	3.16981994975077	0.806977113194859
+234.18	13.7340131649542	3.16982105541437	0.821189643522747
+246.57	13.7349129865373	3.16982216029288	0.806651299117638
+246.8	13.7358128084355	3.16982326438632	0.815786312122062
+239.98	13.7367126306486	3.16982436769467	0.811033145158019
+228.71	13.7376124531764	3.16982547021794	0.821568075045876
+248.14	13.7385122760187	3.16982657195613	0.803142336072767
+232.14	13.7394120991751	3.16982767290922	0.818129960411778
+231.76	13.7403119226456	3.16982877307723	0.823933221485327
+238.33	13.7412117464298	3.16982987246015	0.824930283422947
+236.64	13.7421115705276	3.16983097105798	0.812166718477247
+246.32	13.7430113949387	3.16983206887072	0.819449617062387
+249.57	13.743911219663	3.16983316589837	0.816275741032446
+245.04	13.7448110447001	3.16983426214092	0.812218478116017
+238.5	13.7457108700498	3.16983535759837	0.821389244037809
+236.52	13.746610695712	3.16983645227073	0.81630440551011
+243.09	13.7475105216864	3.16983754615798	0.795833756256002
+228.92	13.7484103479728	3.16983863926014	0.804127688301668
+217.26	13.749310174571	3.1698397315772	0.831979938360229
+222.69	13.7502100014806	3.16984082310915	0.808987867512735
+224.65	13.7511098287016	3.169841913856	0.81587567244471
+237.98	13.7520096562337	3.16984300381774	0.804805845116997
+240.8	13.7529094840767	3.16984409299438	0.816018640646797
+243.57	13.7538093122303	3.16984518138591	0.812316490727751
+246.87	13.7547091406943	3.16984626899233	0.800417956656347
+238.18	13.7556089694685	3.16984735581364	0.805529696883997
+248.95	13.7565087985526	3.16984844184983	0.804183605127486
+249.22	13.7574086279466	3.16984952710092	0.811380483223385
+255.32	13.75830845765	3.16985061156688	0.815069505796657
+263.77	13.7592082876627	3.16985169524774	0.804502968064939
+245.02	13.7601081179845	3.16985277814347	0.822260774419257
+249.46	13.7610079486152	3.16985386025409	0.814989590045178
+243.38	13.7619077795544	3.16985494157958	0.803776828772984
+233.45	13.7628076108021	3.16985602211995	0.822944465263819
+236.95	13.763707442358	3.16985710187521	0.808885089793571
+239.3	13.7646072742218	3.16985818084533	0.823185233822135
+244.37	13.7655071063933	3.16985925903033	0.810155434094877
+259.85	13.7664069388724	3.16986033643021	0.809449946307123
+254.38	13.7673067716587	3.16986141304495	0.792498696359007
+235.03	13.768206604752	3.16986248887457	0.810664287160414
+246.08	13.7691064381523	3.16986356391905	0.81208994622066
+254.92	13.7700062718591	3.16986463817841	0.80225505759759
+244.62	13.7709061058723	3.16986571165263	0.809921176626007
+244.64	13.7718059401916	3.16986678434171	0.80839151429981
+242.98	13.7727057748169	3.16986785624566	0.81356383269596
+248.89	13.7736056097479	3.16986892736447	0.814056700394419
+247.19	13.7745054449844	3.16986999769814	0.817158931082982
+243.94	13.7754052805262	3.16987106724668	0.836967350677659
+239.83	13.776305116373	3.16987213601007	0.825060249829829
+239.76	13.7772049525246	3.16987320398832	0.818557015039025
+245.65	13.7781047889808	3.16987427118142	0.823412094048707
+242.35	13.7790046257414	3.16987533758938	0.814646966789213
+248.36	13.7799044628062	3.16987640321219	0.806171626961467
+247.14	13.7808043001748	3.16987746804986	0.808897603319944
+252.28	13.7817041378471	3.16987853210237	0.795602457029791
+246.8	13.782603975823	3.16987959536974	0.81071149540012
+252.13	13.783503814102	3.16988065785195	0.810186212302732
+252.15	13.7844036526841	3.16988171954901	0.805310956340319
+242.58	13.785303491569	3.16988278046091	0.820763796691153
+247.45	13.7862033307565	3.16988384058766	0.809843314280432
+247.62	13.7871031702463	3.16988489992925	0.816752413005768
+241.41	13.7880030100382	3.16988595848568	0.807551451600282
+239.11	13.7889028501321	3.16988701625696	0.814146042071438
+248.36	13.7898026905276	3.16988807324307	0.811544818913291
+238.7	13.7907025312246	3.16988912944402	0.815234021118475
+224.21	13.7916023722228	3.16989018485981	0.824605859128299
+233.27	13.792502213522	3.16989123949043	0.8283275020502
+243.55	13.793402055122	3.16989229333588	0.816320405509054
+247.7	13.7943018970226	3.16989334639617	0.813787366931041
+245.51	13.7952017392235	3.16989439867129	0.819385531896978
+241.01	13.7961015817245	3.16989545016123	0.819706545359292
+235.27	13.7970014245255	3.16989650086601	0.822646475505551
+233.88	13.797901267626	3.16989755078561	0.815973362097266
+237.82	13.798801111026	3.16989859992004	0.808482718126756
+248.65	13.7997009547253	3.1698996482693	0.815567488890604
+244.82	13.8006007987235	3.16990069583338	0.817587367350174
+234.43	13.7115188473877	3.1688887049908	0.811641119748068
+227.95	13.7124186602391	3.16888982917441	0.811616817346214
+225.57	13.7133184734112	3.16889095257319	0.816982010350209
+229.71	13.7142182869038	3.16889207518714	0.812136991788504
+223.36	13.7151181007167	3.16889319701627	0.814998865263768
+215.98	13.7160179148496	3.16889431806058	0.819584883477794
+229.29	13.7169177293024	3.16889543832006	0.81284484998548
+226.42	13.7178175440748	3.1688965577947	0.833319047414963
+232.22	13.7187173591665	3.16889767648452	0.827661215225236
+231.77	13.7196171745774	3.16889879438951	0.813024404787257
+232.89	13.7205169903072	3.16889991150966	0.811590109834841
+230.35	13.7214168063557	3.16890102784497	0.804377848914718
+224.5	13.7223166227227	3.16890214339546	0.821296083906128
+232.5	13.7232164394079	3.1689032581611	0.829316847896083
+234.98	13.7241162564112	3.1689043721419	0.823255257679557
+242.25	13.7250160737323	3.16890548533787	0.830656761021659
+235.11	13.725915891371	3.16890659774899	0.828873508493505
+226.56	13.726815709327	3.16890770937527	0.827406535711053
+227.77	13.7277155276002	3.1689088202167	0.82839582052858
+234.11	13.7286153461902	3.16890993027329	0.822616641243171
+239.58	13.729515165097	3.16891103954504	0.817352668695997
+245.37	13.7304149843202	3.16891214803193	0.841267031264818
+224.57	13.7313148038597	3.16891325573397	0.834041374214998
+231.29	13.7322146237152	3.16891436265117	0.841629171667862
+232.99	13.7331144438864	3.16891546878351	0.832706300644948
+241.86	13.7340142643733	3.16891657413099	0.819902343543725
+246.35	13.7349140851754	3.16891767869363	0.811269757330043
+253.03	13.7358139062927	3.1689187824714	0.804276121169093
+244.58	13.7367137277249	3.16891988546432	0.824123378615962
+241.63	13.7376135494718	3.16892098767237	0.82637620936431
+247.47	13.7385133715331	3.16892208909557	0.824678216099631
+244.71	13.7394131939086	3.1689231897339	0.816481331467708
+242.65	13.7403130165982	3.16892428958737	0.802689107235203
+247.56	13.7412128396015	3.16892538865598	0.805480477041245
+243.52	13.7421126629183	3.16892648693972	0.810341376283818
+249.96	13.7430124865485	3.16892758443859	0.809601258175262
+250.91	13.7439123104918	3.1689286811526	0.820996077093638
+250.46	13.744812134748	3.16892977708173	0.823489082483515
+242.94	13.7457119593168	3.16893087222599	0.812826762282459
+241.17	13.7466117841981	3.16893196658538	0.812671908634298
+225.85	13.7475116093915	3.16893306015989	0.812163299829649
+222.66	13.748411434897	3.16893415294953	0.828868449643554
+229.29	13.7493112607142	3.16893524495429	0.840327680861364
+229.63	13.7502110868429	3.16893633617418	0.819134153655874
+233.6	13.751110913283	3.16893742660918	0.814747926852428
+239.69	13.7520107400341	3.1689385162593	0.808861535182373
+245.52	13.7529105670961	3.16893960512454	0.822128548909867
+245.64	13.7538103944687	3.1689406932049	0.81066586596022
+244.89	13.7547102221518	3.16894178050037	0.807532673114419
+237.57	13.755610050145	3.16894286701096	0.815798953072189
+242.2	13.7565098784482	3.16894395273665	0.804379424405038
+248.58	13.7574097070612	3.16894503767746	0.815099912144606
+244.9	13.7583095359837	3.16894612183338	0.816850178824585
+247.98	13.7592093652154	3.16894720520441	0.806912456905373
+239.01	13.7601091947563	3.16894828779054	0.814264089059888
+240.3	13.761009024606	3.16894936959178	0.810127731105701
+243.23	13.7619088547643	3.16895045060812	0.809712180092585
+236.86	13.762808685231	3.16895153083957	0.810654834065024
+236.34	13.7637085160059	3.16895261028612	0.813367082504671
+236.53	13.7646083470887	3.16895368894776	0.819860440150295
+244.45	13.7655081784793	3.16895476682451	0.802371731075912
+257.8	13.7664080101774	3.16895584391636	0.791549251979369
+249.49	13.7673078421827	3.1689569202233	0.800608062631998
+240.03	13.7682076744951	3.16895799574533	0.806390629340412
+242.97	13.7691075071144	3.16895907048246	0.813202537247382
+252.91	13.7700073400402	3.16896014443468	0.796633274038011
+251.41	13.7709071732724	3.168961217602	0.802658625825075
+253.64	13.7718070068108	3.1689622899844	0.815530516887246
+249.94	13.7727068406551	3.16896336158189	0.832980717510717
+241.94	13.7736066748052	3.16896443239447	0.831215873569541
+247.36	13.7745065092607	3.16896550242213	0.848226850763628
+241.12	13.7754063440215	3.16896657166488	0.864863802964734
+243.65	13.7763061790873	3.16896764012271	0.865010301377775
+236.55	13.7772060144579	3.16896870779562	0.831721193390517
+241.95	13.7781058501331	3.16896977468361	0.830006298091404
+252	13.7790056861127	3.16897084078668	0.807653654035111
+246.21	13.7799055223965	3.16897190610483	0.81764681534774
+237.71	13.7808053589841	3.16897297063806	0.817889076710086
+246.02	13.7817051958755	3.16897403438636	0.812217822001841
+253.85	13.7826050330703	3.16897509734974	0.819614337600307
+260.41	13.7835048705684	3.16897615952818	0.818713430363916
+259.38	13.7844047083695	3.1689772209217	0.814638956473274
+249.69	13.7853045464733	3.16897828153029	0.813938206089226
+243.07	13.7862043848798	3.16897934135395	0.815319460968073
+248.63	13.7871042235886	3.16898040039267	0.823219025639743
+249.51	13.7880040625996	3.16898145864646	0.820729685515717
+237.88	13.7889039019124	3.16898251611532	0.815477239128936
+242.86	13.789803741527	3.16898357279924	0.808248274690178
+239.62	13.7907035814429	3.16898462869822	0.799463968535905
+230.74	13.7916034216601	3.16898568381226	0.81475534845936
+229.29	13.7925032621784	3.16898673814136	0.825464971516958
+237.67	13.7934031029974	3.16898779168552	0.819858691153363
+242.02	13.7943029441169	3.16898884444474	0.8060978336334
+237.71	13.7952027855368	3.16898989641901	0.817717567040196
+246.97	13.7961026272568	3.16899094760833	0.811012260793068
+245.22	13.7970024692767	3.16899199801271	0.808980512696274
+242.34	13.7979023115963	3.16899304763214	0.820993792833577
+247.81	13.7988021542153	3.16899409646662	0.814953531326043
+253.52	13.7997019971335	3.16899514451616	0.819485245913258
+249.68	13.8006018403507	3.16899619178073	0.814536740634936
+241.22	13.7115199660084	3.1679842316613	0.808924423315866
+232.78	13.7124197780791	3.16798535552341	0.805463549794579
+229.33	13.7133195904706	3.16798647860092	0.811443314855131
+230.92	13.7142194031826	3.16798760089382	0.811328170153739
+227.86	13.7151192162148	3.16798872240213	0.814094668644491
+218.98	13.7160190295671	3.16798984312584	0.817873227261783
+231.79	13.7169188432391	3.16799096306494	0.821922924733092
+225.43	13.7178186572308	3.16799208221944	0.815984126922495
+235.68	13.7187184715419	3.16799320058933	0.816777185926006
+228.84	13.7196182861721	3.16799431817461	0.821940747263333
+237.04	13.7205181011212	3.16799543497529	0.83346963356339
+228.51	13.7214179163891	3.16799655099136	0.818540149858442
+234.07	13.7223177319754	3.16799766622281	0.817325060865468
+243.46	13.7232175478799	3.16799878066965	0.829593869307807
+235.28	13.7241173641025	3.16799989433187	0.82668531552218
+234.57	13.7250171806429	3.16800100720948	0.827426478509103
+227.39	13.7259169975009	3.16800211930248	0.814734134480126
+220.16	13.7268168146763	3.16800323061085	0.828582491883359
+232.71	13.7277166321687	3.16800434113461	0.818152067612665
+236.18	13.7286164499781	3.16800545087374	0.815813603908305
+236.98	13.7295162681042	3.16800655982825	0.817026316988352
+238.7	13.7304160865467	3.16800766799814	0.841919214807813
+228.75	13.7313159053055	3.1680087753834	0.829632210853106
+224.21	13.7322157243803	3.16800988198403	0.828472067220114
+237.75	13.7331155437709	3.16801098780004	0.809866344904399
+250.87	13.734015363477	3.16801209283141	0.806126997814918
+251.1	13.7349151834985	3.16801319707816	0.802876631079478
+249.45	13.7358150038351	3.16801430054027	0.813809210218542
+246.95	13.7367148244866	3.16801540321775	0.811887015232546
+236.71	13.7376146454527	3.1680165051106	0.825194626605254
+244.22	13.7385144667333	3.16801760621881	0.812411586964476
+233.52	13.7394142883282	3.16801870654238	0.809449927794818
+233.94	13.740314110237	3.16801980608131	0.814283518017006
+243.71	13.7412139324596	3.1680209048356	0.805247987964246
+238.08	13.7421137549957	3.16802200280525	0.804663339605661
+245.24	13.7430135778452	3.16802309999026	0.806488314521223
+242.8	13.7439134010078	3.16802419639062	0.806144257519134
+243.17	13.7448132244832	3.16802529200634	0.814756754127678
+243.87	13.7457130482713	3.16802638683741	0.819512499495322
+230.97	13.7466128723719	3.16802748088383	0.814084897915133
+221.14	13.7475126967846	3.1680285741456	0.814091183033896
+222.71	13.7484125215094	3.16802966662272	0.82372821740161
+232.86	13.7493123465458	3.16803075831519	0.845405544147844
+222.3	13.7502121718939	3.168031849223	0.826842222580918
+230.82	13.7511119975532	3.16803293934616	0.822844601726901
+244	13.7520118235236	3.16803402868466	0.828471009038744
+251.24	13.7529116498049	3.16803511723851	0.827223442217952
+242.6	13.7538114763968	3.16803620500769	0.812265170328525
+245.74	13.7547113032991	3.16803729199222	0.818657501039167
+240.79	13.7556111305116	3.16803837819208	0.809040328460151
+248.11	13.7565109580341	3.16803946360728	0.808215152291532
+243.24	13.7574107858663	3.16804054823781	0.81094720343243
+244.42	13.7583106140081	3.16804163208368	0.810425803845093
+238.19	13.7592104424591	3.16804271514489	0.817832268201665
+237.63	13.7601102712192	3.16804379742142	0.816379615520771
+238.94	13.7610101002882	3.16804487891328	0.810984751092739
+241.16	13.7619099296657	3.16804595962047	0.821647742432777
+238.61	13.7628097593517	3.16804703954299	0.814160377937297
+235.2	13.7637095893459	3.16804811868084	0.809909252957381
+231.75	13.764609419648	3.16804919703401	0.812634729825759
+241.9	13.7655092502578	3.1680502746025	0.814344525437172
+247.94	13.7664090811751	3.16805135138631	0.797090262671625
+246.84	13.7673089123997	3.16805242738545	0.812912320270651
+242.87	13.7682087439314	3.16805350259991	0.821791162076233
+245.15	13.7691085757698	3.16805457702968	0.81857699929681
+252.74	13.7700084079149	3.16805565067477	0.807091376262355
+248.45	13.7709082403664	3.16805672353518	0.811128071333976
+252.78	13.771808073124	3.1680577956109	0.821130351605184
+246.51	13.7727079061876	3.16805886690193	0.852338771794692
+238.06	13.7736077395569	3.16805993740827	0.862144266583584
+245.34	13.7745075732316	3.16806100712993	0.869574130336512
+234.94	13.7754074072117	3.16806207606689	0.864343220766783
+244.04	13.7763072414967	3.16806314421916	0.866857981847304
+244.45	13.7772070760866	3.16806421158674	0.864478883501948
+245.31	13.7781069109811	3.16806527816962	0.83834430487267
+243.5	13.7790067461799	3.1680663439678	0.822177290241805
+240.68	13.7799065816829	3.16806740898129	0.833315155894262
+244.78	13.7808064174897	3.16806847321008	0.817877131446936
+237.85	13.7817062536003	3.16806953665417	0.807784531528405
+254.57	13.7826060900144	3.16807059931355	0.831034836370613
+266.7	13.7835059267317	3.16807166118824	0.829943134566542
+252.62	13.784405763752	3.16807272227822	0.838377288260889
+245.32	13.7853056010751	3.16807378258349	0.814723446501903
+252.93	13.7862054387008	3.16807484210406	0.814088941943448
+245.68	13.7871052766289	3.16807590083992	0.80894735062388
+239.77	13.788005114859	3.16807695879107	0.817367547904966
+225.22	13.7889049533911	3.1680780159575	0.816263066027326
+229.94	13.7898047922248	3.16807907233923	0.812398340117271
+233.53	13.79070463136	3.16808012793624	0.807485306280641
+235.27	13.7916044707965	3.16808118274854	0.817426980927392
+233.12	13.7925043105339	3.16808223677612	0.820955655828128
+236.43	13.7934041505721	3.16808329001899	0.811136936268287
+232.43	13.7943039909109	3.16808434247713	0.807283793860975
+233.13	13.79520383155	3.16808539415056	0.805863890985658
+234.25	13.7961036724892	3.16808644503926	0.810140768943398
+237.36	13.7970035137283	3.16808749514324	0.809709547734812
+236.32	13.7979033552671	3.1680885444625	0.812680148994676
+240.48	13.7988031971053	3.16808959299703	0.815514925373134
+247.69	13.7997030392427	3.16809064074684	0.799731480846843
+241.56	13.8006028816791	3.16809168771192	0.808873693856022
+240.97	13.7115210843082	3.16707975831558	0.812790544977019
+233.04	13.7124208955985	3.16708088185619	0.81692789968652
+227.3	13.7133207072095	3.16708200461243	0.81337377112789
+224.51	13.714220519141	3.16708312658429	0.805389258821333
+226.65	13.7151203313928	3.16708424777178	0.813526459403642
+230.55	13.7160201439646	3.16708536817488	0.819047475326714
+229.89	13.7169199568563	3.16708648779361	0.824204591220298
+231.75	13.7178197700675	3.16708760662796	0.814476188987089
+230.32	13.7187195835981	3.16708872467793	0.806725015106918
+228.79	13.7196193974479	3.16708984194351	0.8248301130377
+230.94	13.7205192116166	3.16709095842471	0.825000274053693
+232.55	13.721419026104	3.16709207412153	0.821511308051303
+232.71	13.7223188409098	3.16709318903395	0.827765837572406
+240.57	13.7232186560339	3.16709430316199	0.827896313356039
+231.54	13.7241184714761	3.16709541650564	0.826350520962853
+235.3	13.725018287236	3.16709652906489	0.822720540010759
+231.26	13.7259181033135	3.16709764083976	0.829906608938348
+222.31	13.7268179197084	3.16709875183022	0.823114483115854
+238.18	13.7277177364204	3.1670998620363	0.818970189701897
+239.13	13.7286175534493	3.16710097145798	0.822895003757945
+236.85	13.7295173707949	3.16710208009526	0.836485121806134
+242.76	13.730417188457	3.16710318794813	0.824521101189373
+234.88	13.7313170064353	3.16710429501661	0.827806131528184
+226.75	13.7322168247296	3.16710540130069	0.828138559444605
+238.27	13.7331166433397	3.16710650680036	0.832428037523657
+248.84	13.7340164622654	3.16710761151563	0.829648334886874
+240.3	13.7349162815064	3.16710871544649	0.817125301540515
+243.47	13.7358161010625	3.16710981859294	0.818957886805703
+239.45	13.7367159209335	3.16711092095499	0.82429056772149
+226.84	13.7376157411192	3.16711202253262	0.824450297192822
+234.19	13.7385155616193	3.16711312332584	0.825625529449299
+233.27	13.7394153824337	3.16711422333465	0.809171638850301
+236.83	13.740315203562	3.16711532255905	0.8084091413357
+237.15	13.7412150250041	3.16711642099902	0.809727072319007
+235.59	13.7421148467598	3.16711751865459	0.814570270880451
+242.82	13.7430146688288	3.16711861552573	0.808887609478329
+230.42	13.7439144912109	3.16711971161245	0.822830557211356
+227.68	13.7448143139058	3.16712080691475	0.822797990469169
+231.63	13.7457141369135	3.16712190143263	0.815938283510125
+224.16	13.7466139602335	3.16712299516608	0.822384287395574
+221.14	13.7475137838658	3.16712408811511	0.816359127565267
+233.79	13.74841360781	3.16712518027972	0.822259419184251
+236.26	13.749313432066	3.16712627165989	0.841702093660427
+224.64	13.7502132566335	3.16712736225564	0.826289359032976
+231.59	13.7511130815123	3.16712845206695	0.83316950962893
+241.45	13.7520129067022	3.16712954109383	0.834278220518511
+244.54	13.752912732203	3.16713062933628	0.822565810913568
+247.1	13.7538125580144	3.16713171679429	0.811582890456645
+235.48	13.7547123841362	3.16713280346787	0.823053911733389
+242.57	13.7556122105683	3.16713388935701	0.798702416729276
+250.9	13.7565120373102	3.16713497446171	0.787274130662814
+253.82	13.7574118643619	3.16713605878198	0.785874904312325
+244.89	13.7583116917232	3.1671371423178	0.802583686494867
+239	13.7592115193937	3.16713822506917	0.809806498036823
+243.57	13.7601113473733	3.16713930703611	0.819451353193684
+244.1	13.7610111756617	3.16714038821859	0.820466733563429
+240.54	13.7619110042588	3.16714146861663	0.81414030728391
+233.57	13.7628108331643	3.16714254823023	0.82016842024862
+232.78	13.7637106623779	3.16714362705937	0.803463464469343
+234.02	13.7646104918995	3.16714470510406	0.813747245922779
+238.36	13.7655103217288	3.1671457823643	0.813252468773955
+240.76	13.7664101518656	3.16714685884009	0.815915121365728
+238.18	13.7673099823096	3.16714793453142	0.817479117317043
+237.79	13.7682098130608	3.1671490094383	0.814290744330559
+241.57	13.7691096441187	3.16715008356071	0.806847223087951
+256	13.7700094754833	3.16715115689867	0.810805140850641
+264.38	13.7709093071542	3.16715222945217	0.809277106818761
+274.56	13.7718091391313	3.16715330122121	0.807605972444395
+250.5	13.7727089714144	3.16715437220579	0.851631822801546
+247.07	13.7736088040031	3.1671554424059	0.854454807686727
+235.56	13.7745086368973	3.16715651182154	0.865779924111763
+239.04	13.7754084700968	3.16715758045272	0.869456237888333
+246.08	13.7763083036014	3.16715864829943	0.870623132527507
+252.11	13.7772081374107	3.16715971536168	0.86815165226206
+254.74	13.7781079715246	3.16716078163945	0.868599633073427
+245.78	13.7790078059429	3.16716184713275	0.871218806208694
+246.23	13.7799076406653	3.16716291184157	0.863598931110402
+241.59	13.7808074756917	3.16716397576592	0.824897400820793
+241.51	13.7817073110217	3.1671650389058	0.820766437485023
+259.03	13.7826071466552	3.1671661012612	0.802879728763886
+262.21	13.783506982592	3.16716716283212	0.819593596827532
+249.22	13.7844068188318	3.16716822361856	0.832836570552431
+241.39	13.7853066553743	3.16716928362052	0.808187488598299
+256.44	13.7862064922195	3.16717034283799	0.806558844211468
+248	13.787106329367	3.16717140127099	0.819413706910752
+231.28	13.7880061668166	3.16717245891949	0.81977684440773
+232.23	13.7889060045681	3.16717351578351	0.812676947410043
+230.8	13.7898058426213	3.16717457186305	0.821603915662651
+232.54	13.7907056809759	3.16717562715809	0.82387548130068
+238.47	13.7916055196318	3.16717668166865	0.812949586659809
+229.23	13.7925053585887	3.16717773539471	0.81578719689164
+231.16	13.7934051978463	3.16717878833628	0.807068320223294
+234.96	13.7943050374045	3.16717984049336	0.805148196523661
+229.39	13.7952048772631	3.16718089186594	0.809160492615671
+227.88	13.7961047174217	3.16718194245402	0.8164428800781
+243.95	13.7970045578803	3.1671829922576	0.812070242841879
+242.2	13.7979043986385	3.16718404127669	0.802738918453841
+248.27	13.7988042396961	3.16718508951128	0.805405039284747
+256.57	13.799704081053	3.16718613696136	0.801000872252036
+258.61	13.8006039227088	3.16718718362694	0.8009657127669
+237.19	13.7115222022871	3.16617528495365	0.817054918348597
+237.7	13.7124220127972	3.16617640817276	0.816664822734539
+233.92	13.713321823628	3.16617753060773	0.811034514737932
+232.67	13.7142216347793	3.16617865225854	0.805617973059501
+229.69	13.7151214462508	3.16617977312521	0.826213930781972
+229.63	13.7160212580424	3.16618089320772	0.821531764794176
+218.54	13.7169210701538	3.16618201250607	0.818385109155553
+221.81	13.7178208825849	3.16618313102027	0.819216252663161
+223.84	13.7187206953352	3.16618424875032	0.820927335109544
+234.45	13.7196205084048	3.1661853656962	0.823557452550676
+233.17	13.7205203217932	3.16618648185792	0.819223053618191
+242.28	13.7214201355004	3.16618759723549	0.819917889375855
+242.68	13.722319949526	3.16618871182889	0.842022900763359
+243.06	13.7232197638699	3.16618982563812	0.83706063925122
+238.61	13.7241195785318	3.16619093866319	0.834532522420369
+239.82	13.7250193935115	3.1661920509041	0.834095178567136
+221.48	13.7259192088088	3.16619316236083	0.84151188255333
+229.47	13.7268190244234	3.16619427303339	0.818716905752157
+242.22	13.7277188403552	3.16619538292179	0.815949017493852
+239.71	13.7286186566039	3.16619649202601	0.821886374426333
+231.56	13.7295184731692	3.16619760034606	0.825504447418427
+230.08	13.730418290051	3.16619870788193	0.840748927492092
+231.6	13.7313181072491	3.16619981463363	0.833660420135322
+237.85	13.7322179247632	3.16620092060115	0.813624316653788
+240.49	13.733117742593	3.16620202578449	0.823109738696483
+244.51	13.7340175607384	3.16620313018365	0.819087879988844
+243.25	13.7349173791992	3.16620423379862	0.820373675201224
+246.52	13.7358171979751	3.16620533662942	0.801275190709325
+231.82	13.7367170170658	3.16620643867603	0.818582937283256
+233.29	13.7376168364712	3.16620753993845	0.814170855454449
+235.66	13.7385166561911	3.16620864041668	0.799306120280658
+233.16	13.7394164762252	3.16620974011073	0.813789822565236
+228.75	13.7403162965733	3.16621083902059	0.806086312143556
+241.87	13.7412161172351	3.16621193714625	0.800010480363427
+246.19	13.7421159382105	3.16621303448772	0.818800796496624
+238.18	13.7430157594993	3.166214131045	0.813696041300156
+232.44	13.7439155811011	3.16621522681808	0.821380355524468
+224.56	13.7448154030158	3.16621632180697	0.82839084424761
+228.48	13.7457152252431	3.16621741601166	0.831562164124392
+233.98	13.7466150477829	3.16621850943215	0.829175042371211
+227.06	13.7475148706349	3.16621960206843	0.823466465480076
+227.97	13.7484146937989	3.16622069392052	0.821257531283794
+242.03	13.7493145172746	3.1662217849884	0.837700417379225
+232.78	13.7502143410618	3.16622287527208	0.827782987663475
+235.51	13.7511141651604	3.16622396477155	0.816003613116235
+239.46	13.75201398957	3.16622505348681	0.812398292625444
+254.06	13.7529138142905	3.16622614141786	0.833686876052342
+243.7	13.7538136393216	3.16622722856471	0.821901106670322
+236.17	13.7547134646632	3.16622831492734	0.81933173874125
+244.27	13.7556132903149	3.16622940050576	0.817364651793345
+242.73	13.7565131162766	3.16623048529996	0.807228345151705
+243.63	13.757412942548	3.16623156930995	0.807727167503051
+235.55	13.758312769129	3.16623265253572	0.820677140757075
+242.96	13.7592125960192	3.16623373497728	0.807874811861622
+239.81	13.7601124232185	3.16623481663461	0.818598383766707
+235.31	13.7610122507267	3.16623589750772	0.817273827230901
+239.59	13.7619120785435	3.16623697759661	0.81926618672428
+237.3	13.7628119066686	3.16623805690128	0.8200316058667
+243.75	13.7637117351019	3.16623913542172	0.815245449035936
+242.14	13.7646115638432	3.16624021315794	0.808424762234655
+231.96	13.7655113928922	3.16624129010992	0.826349981349003
+237.55	13.7664112222487	3.16624236627768	0.810882243552714
+240.19	13.7673110519125	3.16624344166121	0.795895292693856
+232.63	13.7682108818834	3.16624451626051	0.809573322440492
+252.85	13.769110712161	3.16624559007557	0.798359215862159
+253.41	13.7700105427453	3.1662466631064	0.803371257856359
+263.1	13.7709103736359	3.16624773535299	0.800392239265952
+258.73	13.7718102048327	3.16624880681535	0.805637945215722
+267.99	13.7727100363354	3.16624987749347	0.815718896890562
+246.93	13.7736098681439	3.16625094738735	0.821854925189352
+242.94	13.7745097002578	3.16625201649699	0.848130049236799
+242.77	13.775409532677	3.16625308482238	0.852989517845089
+251.22	13.7763093654012	3.16625415236353	0.851585121610804
+253.79	13.7772091984302	3.16625521912044	0.867671856370111
+252.88	13.7781090317638	3.1662562850931	0.860472817283467
+246.72	13.7790088654018	3.16625735028152	0.865034720875199
+244.28	13.7799086993439	3.16625841468568	0.852768490954889
+241.48	13.7808085335899	3.1662594783056	0.825553145336226
+247.2	13.7817083681396	3.16626054114126	0.812184427318629
+254.99	13.7826082029928	3.16626160319267	0.815143003346378
+258.03	13.7835080381493	3.16626266445983	0.820731937766393
+242.01	13.7844078736087	3.16626372494273	0.823813346099439
+252.28	13.785307709371	3.16626478464137	0.821049239229561
+250.85	13.7862075454358	3.16626584355576	0.815930507874777
+254.04	13.7871073818029	3.16626690168589	0.810218598131189
+237.53	13.7880072184722	3.16626795903175	0.814620485913434
+233.76	13.7889070554434	3.16626901559336	0.809562629604419
+225.95	13.7898068927163	3.1662700713707	0.81547588484128
+232.44	13.7907067302906	3.16627112636378	0.822734075182622
+232.61	13.7916065681661	3.16627218057259	0.821354430093078
+224.64	13.7925064063427	3.16627323399713	0.815448726280218
+232.3	13.79340624482	3.16627428663741	0.814652367291141
+227.21	13.7943060835979	3.16627533849341	0.814295558958652
+235.82	13.7952059226761	3.16627638956515	0.814144065436427
+234.17	13.7961057620544	3.16627743985261	0.813066897811349
+244.65	13.7970056017326	3.1662784893558	0.814146007638138
+252.02	13.7979054417104	3.16627953807472	0.799282161363662
+253.24	13.7988052819877	3.16628058600936	0.807359426177014
+265.17	13.7997051225642	3.16628163315972	0.806674855966366
+250.89	13.8006049634397	3.1662826795258	0.805912775556615
+229.14	13.711523319945	3.16527081157551	0.821617060334426
+231.52	13.7124231296751	3.16527193447313	0.824873491342585
+232.43	13.7133229397259	3.16527305658682	0.813894989480486
+223.83	13.7142227500972	3.16527417791659	0.816763872948974
+227.87	13.7151225607888	3.16527529846244	0.829257366786002
+229.7	13.7160223718004	3.16527641822435	0.8085457289863
+222.7	13.7169221831318	3.16527753720233	0.820958003276172
+224.53	13.7178219947828	3.16527865539638	0.81549651415776
+226.29	13.7187218067532	3.1652797728065	0.819220206152397
+236.76	13.7196216190427	3.16528088943269	0.834604889836146
+237.04	13.7205214316512	3.16528200527494	0.825261069528362
+243.85	13.7214212445783	3.16528312033325	0.815695833683562
+232.48	13.7223210578239	3.16528423460762	0.81970943198956
+233.08	13.7232208713878	3.16528534809806	0.823237826307147
+233.17	13.7241206852697	3.16528646080455	0.826837279270863
+239.55	13.7250204994694	3.1652875727271	0.817983173291316
+229.28	13.7259203139867	3.16528868386571	0.830762107733469
+227.03	13.7268201288213	3.16528979422037	0.83519509125236
+240.14	13.727719943973	3.16529090379108	0.82211186947695
+227.6	13.7286197594417	3.16529201257785	0.824361444795211
+232.68	13.729519575227	3.16529312058067	0.827362498773365
+235.77	13.7304193913288	3.16529422779953	0.829570833155521
+233.04	13.7313192077469	3.16529533423445	0.830648509799782
+240.47	13.7322190244809	3.16529643988541	0.815832716506292
+244.64	13.7331188415307	3.16529754475242	0.811141227941921
+245.53	13.7340186588961	3.16529864883547	0.812555095698427
+243.64	13.7349184765769	3.16529975213456	0.82060155332015
+244.65	13.7358182945727	3.16530085464969	0.812886415827592
+225.13	13.7367181128834	3.16530195638087	0.817298786233781
+249.94	13.7376179315088	3.16530305732808	0.812062009698652
+230.42	13.7385177504487	3.16530415749133	0.815222659198347
+221.69	13.7394175697027	3.16530525687062	0.817702120036318
+230.77	13.7403173892708	3.16530635546594	0.81694963170046
+249.79	13.7412172091526	3.16530745327729	0.81018311413319
+240.63	13.742117029348	3.16530855030467	0.820071158713274
+232.86	13.7430168498567	3.16530964654809	0.821122818570958
+239.58	13.7439166706784	3.16531074200753	0.816697934785086
+228	13.7448164918131	3.165311836683	0.826492641762245
+224.35	13.7457163132604	3.1653129305745	0.83167155857756
+230.97	13.7466161350201	3.16531402368202	0.824900751149573
+228.87	13.7475159570921	3.16531511600557	0.822701284237105
+233.03	13.748415779476	3.16531620754514	0.808605814058707
+240.45	13.7493156021717	3.16531729830073	0.840708311424494
+232.88	13.7502154251789	3.16531838827233	0.815243706564917
+239.21	13.7511152484974	3.16531947745996	0.803495770872171
+238.34	13.7520150721269	3.16532056586361	0.816868566228744
+252.24	13.7529148960674	3.16532165348326	0.807125512697037
+241.28	13.7538147203185	3.16532274031894	0.826183192557868
+237.64	13.7547145448799	3.16532382637062	0.824993390449378
+233.43	13.7556143697516	3.16532491163832	0.813309971429022
+246.9	13.7565141949333	3.16532599612203	0.798984353886924
+240.48	13.7574140204246	3.16532707982175	0.816870349987329
+241.8	13.7583138462255	3.16532816273747	0.812401859897858
+245.91	13.7592136723357	3.1653292448692	0.808307466644936
+237.67	13.7601134987549	3.16533032621693	0.823323881278197
+243.26	13.761013325483	3.16533140678067	0.818906129635743
+240.93	13.7619131525197	3.16533248656041	0.819907487734557
+236.4	13.7628129798648	3.16533356555615	0.812922333502202
+235.07	13.7637128075181	3.16533464376789	0.825611104332361
+234.49	13.7646126354793	3.16533572119563	0.810908723009335
+236.76	13.7655124637482	3.16533679783937	0.816803585907262
+233.39	13.7664122923246	3.1653378736991	0.807656015097719
+242.52	13.7673121212084	3.16533894877482	0.807404543257612
+233.69	13.7682119503991	3.16534002306654	0.838124511162644
+242.23	13.7691117798967	3.16534109657425	0.81696823482107
+255.1	13.7700116097009	3.16534216929795	0.795345759181203
+252.48	13.7709114398114	3.16534324123764	0.807173848482873
+252.58	13.7718112702281	3.16534431239331	0.818687320703608
+257.59	13.7727111009508	3.16534538276498	0.813669889727662
+254.08	13.7736109319791	3.16534645235262	0.814226293244561
+255.12	13.774510763313	3.16534752115625	0.823514528588938
+255.63	13.7754105949521	3.16534858917587	0.832403425161765
+261.72	13.7763104268962	3.16534965641146	0.81820662845884
+255.19	13.7772102591451	3.16535072286303	0.860427516346698
+249.09	13.7781100916986	3.16535178853059	0.864649733760483
+246.72	13.7790099245565	3.16535285341412	0.855189986641794
+250.38	13.7799097577185	3.16535391751362	0.84851289309888
+264.06	13.7808095911845	3.1653549808291	0.839380150787216
+253.06	13.7817094249541	3.16535604336055	0.816471120889383
+245.09	13.7826092590272	3.16535710510797	0.807314362195155
+245.24	13.7835090934035	3.16535816607137	0.821155967109645
+247.32	13.7844089280829	3.16535922625073	0.819522625125453
+250.9	13.785308763065	3.16536028564606	0.823040758386748
+245.85	13.7862085983497	3.16536134425736	0.809965105838047
+246.88	13.7871084339368	3.16536240208462	0.818589462755912
+237.28	13.788008269826	3.16536345912785	0.816699208432948
+235.03	13.788908106017	3.16536451538704	0.817737222855893
+228.42	13.7898079425098	3.16536557086219	0.822178287784765
+241.21	13.790707779304	3.1653666255533	0.811937579155526
+230.17	13.7916076163994	3.16536767946037	0.816926295104829
+236.32	13.7925074537959	3.16536873258339	0.806975164491533
+230.4	13.7934072914931	3.16536978492238	0.814004668746905
+242.24	13.7943071294908	3.16537083647731	0.80864355554197
+243.08	13.7952069677889	3.16537188724821	0.813963645893238
+256.73	13.7961068063871	3.16537293723505	0.827190425337451
+273.38	13.7970066452852	3.16537398643784	0.809521047985412
+283.89	13.7979064844829	3.16537503485659	0.809922363549258
+279.77	13.7988063239801	3.16537608249128	0.810356215332329
+263.27	13.7997061637765	3.16537712934192	0.809962632322174
+260.12	13.8006060038719	3.1653781754085	0.804215548227595
+233.26	13.711524437282	3.16436633818117	0.813548005570287
+234.56	13.7124242462323	3.16436746075729	0.809113739532747
+228.03	13.7133240555034	3.16436858254972	0.818762554171129
+225.08	13.7142238650949	3.16436970355844	0.826396978098658
+223.7	13.7151236750067	3.16437082378346	0.822990646195561
+230.5	13.7160234852385	3.16437194322478	0.814461995430909
+226.71	13.7169232957902	3.16437306188239	0.818311463847531
+220.22	13.7178231066614	3.16437417975629	0.823594643009468
+229.03	13.718722917852	3.16437529684649	0.828155103788338
+235.57	13.7196227293617	3.16437641315297	0.824613053671637
+236.23	13.7205225411904	3.16437752867575	0.824881172455793
+235.95	13.7214223533378	3.16437864341481	0.816269053593498
+236.5	13.7223221658036	3.16437975737016	0.826960984408416
+235.36	13.7232219785877	3.16438087054179	0.82557418200704
+231.93	13.7241217916898	3.16438198292971	0.824468561533409
+230.44	13.7250216051097	3.16438309453391	0.825388303544132
+221.89	13.7259214188472	3.16438420535439	0.823338071392721
+229.4	13.726821232902	3.16438531539114	0.826134707893716
+230.11	13.727721047274	3.16438642464418	0.832546039570069
+231.75	13.7286208619629	3.16438753311349	0.834659701628404
+231.31	13.7295206769684	3.16438864079908	0.828255266454521
+246.25	13.7304204922904	3.16438974770094	0.824416599449281
+243.24	13.7313203079286	3.16439085381908	0.813491860999133
+236.35	13.7322201238829	3.16439195915348	0.828572659205605
+244.94	13.7331199401529	3.16439306370415	0.812998400644216
+244.86	13.7340197567385	3.1643941674711	0.815492303266778
+243.5	13.7349195736394	3.16439527045431	0.825066525508598
+232.9	13.7358193908555	3.16439637265378	0.816098784487749
+234.95	13.7367192083864	3.16439747406952	0.816297597583715
+240.06	13.737619026232	3.16439857470153	0.813248050738526
+234.78	13.738518844392	3.16439967454979	0.820125762411013
+240.8	13.7394186628663	3.16440077361432	0.819738943859405
+243.46	13.7403184816545	3.1644018718951	0.805609408296348
+253.44	13.7412183007565	3.16440296939214	0.81564311160738
+245.83	13.7421181201721	3.16440406610544	0.817432960089756
+235.55	13.7430179399009	3.16440516203499	0.837075035067866
+231.04	13.7439177599429	3.16440625718079	0.834839233160052
+239.7	13.7448175802977	3.16440735154285	0.815315015141755
+233.71	13.7457174009652	3.16440844512116	0.825947789394585
+222.43	13.7466172219452	3.16440953791571	0.818378596449034
+235.9	13.7475170432373	3.16441062992652	0.827000105120835
+230.8	13.7484168648414	3.16441172115357	0.824935695435768
+244.46	13.7493166867572	3.16441281159687	0.848533739440334
+242.36	13.7502165089846	3.16441390125641	0.809054643784638
+233.73	13.7511163315232	3.16441499013219	0.8241389439671
+236	13.752016154373	3.16441607822422	0.812079823962364
+231.86	13.7529159775336	3.16441716553248	0.813901450545324
+236.99	13.7538158010049	3.16441825205699	0.815437519472876
+238.91	13.7547156247865	3.16441933779773	0.808476778302986
+234.48	13.7556154488784	3.16442042275471	0.808751440306088
+251.64	13.7565152732802	3.16442150692792	0.810179594563346
+249.35	13.7574150979917	3.16442259031736	0.819220487444189
+238.71	13.7583149230127	3.16442367292304	0.815099826504231
+237.28	13.7592147483431	3.16442475474495	0.825735632061052
+252.48	13.7601145739825	3.16442583578308	0.79950445172509
+242.25	13.7610143999307	3.16442691603745	0.814933051256977
+238.84	13.7619142261876	3.16442799550804	0.808458873761379
+234.15	13.7628140527528	3.16442907419485	0.80846918391003
+233.86	13.7637138796262	3.16443015209789	0.808217059311962
+243.92	13.7646137068076	3.16443122921716	0.80227481082089
+243.3	13.7655135342967	3.16443230555264	0.805467390191461
+228.6	13.7664133620933	3.16443338110434	0.8139827705745
+229.55	13.7673131901971	3.16443445587227	0.823835278418685
+238.08	13.768213018608	3.16443552985641	0.828054487424642
+244.15	13.7691128473258	3.16443660305676	0.817366783214293
+248.48	13.7700126763501	3.16443767547333	0.796589137667615
+259.26	13.7709125056808	3.16443874710612	0.79863394511867
+261.89	13.7718123353177	3.16443981795511	0.799736486105631
+265.04	13.7727121652604	3.16444088802032	0.816937338908488
+261.21	13.7736119955089	3.16444195730173	0.814063823397413
+263.4	13.7745118260629	3.16444302579936	0.818314802059759
+260.46	13.7754116569221	3.16444409351319	0.814132278901381
+248.44	13.7763114880864	3.16444516044322	0.825695999674743
+260.39	13.7772113195555	3.16444622658946	0.836928494487487
+260.23	13.7781111513291	3.16444729195191	0.835861633585235
+259.48	13.7790109834071	3.16444835653055	0.842290673069218
+255.72	13.7799108157893	3.1644494203254	0.827656091152744
+255.52	13.7808106484753	3.16445048333644	0.822762926420784
+242.33	13.7817104814651	3.16445154556368	0.82864011232529
+250.42	13.7826103147583	3.16445260700712	0.805443927095548
+240.24	13.7835101483548	3.16445366766675	0.821094853740479
+246.91	13.7844099822542	3.16445472754257	0.828663251277255
+246.5	13.7853098164565	3.16445578663459	0.819864145401138
+247.37	13.7862096509613	3.1644568449428	0.814971813779603
+244.49	13.7871094857685	3.1644579024672	0.808135213329216
+238.79	13.7880093208778	3.16445895920778	0.811733118539401
+231.85	13.788909156289	3.16446001516456	0.817155866087041
+236.55	13.7898089920019	3.16446107033752	0.823276970379572
+229.15	13.7907088280162	3.16446212472666	0.813017826757629
+230.13	13.7916086643317	3.16446317833199	0.812839496318174
+237.39	13.7925085009483	3.1644642311535	0.823657991053274
+239.35	13.7934083378656	3.16446528319119	0.811925113902666
+239.87	13.7943081750835	3.16446633444506	0.804192594897324
+249.49	13.7952080126017	3.1644673849151	0.813900668439589
+271.86	13.79610785042	3.16446843460133	0.804369217357997
+273.51	13.7970076885382	3.16446948350373	0.791278368599934
+286.67	13.797907526956	3.1644705316223	0.78262382554228
+286.9	13.7988073656733	3.16447157895704	0.778630632234475
+290.11	13.7997072046898	3.16447262550796	0.760029114900352
+274.51	13.8006070440052	3.16447367127505	0.750526856579678
+234.62	13.7115255542981	3.16346186477062	0.813856720498114
+232.12	13.7124253624689	3.16346298702525	0.809967644537796
+243.2	13.7133251709603	3.16346410849641	0.797566884108047
+230.55	13.7142249797723	3.16346522918409	0.81750609732492
+226.95	13.7151247889046	3.16346634908829	0.812297811891943
+232.26	13.7160245983568	3.16346746820901	0.816033588239548
+225.66	13.7169244081289	3.16346858654625	0.828045735313445
+223.27	13.7178242182206	3.16346970410001	0.827930909674362
+225.2	13.7187240286317	3.16347082087028	0.825436390366949
+233.37	13.7196238393619	3.16347193685707	0.824968258208043
+232.63	13.720523650411	3.16347305206037	0.824235159606838
+240.16	13.7214234617788	3.16347416648018	0.8328455397191
+238.05	13.722323273465	3.1634752801165	0.821883312909107
+235.77	13.7232230854696	3.16347639296934	0.819125073332336
+242.96	13.7241228977921	3.16347750503868	0.815382305469014
+230.47	13.7250227104325	3.16347861632452	0.817486246166649
+227.13	13.7259225233904	3.16347972682687	0.818610747051114
+233.96	13.7268223366656	3.16348083654573	0.826144104105849
+235.83	13.727722150258	3.16348194548109	0.820076618401403
+239.32	13.7286219641673	3.16348305363295	0.817501706086074
+237.18	13.7295217783933	3.16348416100131	0.843064744647941
+240.32	13.7304215929358	3.16348526758616	0.832289076284019
+238.62	13.7313214077944	3.16348637338752	0.837658170569167
+241.03	13.7322212229691	3.16348747840536	0.822619525914022
+241.99	13.7331210384595	3.16348858263971	0.823770105800726
+240.97	13.7340208542655	3.16348968609054	0.824670215881147
+242.24	13.7349206703869	3.16349078875787	0.824455265705946
+240.74	13.7358204868234	3.16349189064169	0.817676520657742
+238.01	13.7367203035747	3.16349299174199	0.813714316831914
+227.94	13.7376201206407	3.16349409205879	0.817234050132396
+241.78	13.7385199380212	3.16349519159207	0.811840807854482
+249.67	13.7394197557158	3.16349629034183	0.800077405371933
+252.58	13.7403195737245	3.16349738830808	0.81047454981816
+250.42	13.7412193920469	3.16349848549081	0.81736554726812
+245.99	13.7421192106828	3.16349958189002	0.82748448998016
+232.73	13.7430190296321	3.16350067750571	0.828014826686572
+231.73	13.7439188488945	3.16350177233787	0.825121304956781
+231.91	13.7448186684698	3.16350286638652	0.81471637818336
+231.32	13.7457184883576	3.16350395965164	0.806291773215751
+230.02	13.746618308558	3.16350505213323	0.816464470752665
+233.09	13.7475181290705	3.16350614383129	0.816624095359727
+230.4	13.748417949895	3.16350723474583	0.825233995861348
+236.24	13.7493177710312	3.16350832487684	0.835356529670566
+234.88	13.750217592479	3.16350941422431	0.821241959167853
+230.54	13.7511174142381	3.16351050278825	0.818430681150354
+236.74	13.7520172363082	3.16351159056866	0.817873663456434
+236.26	13.7529170586892	3.16351267756553	0.811911538476076
+235.57	13.7538168813809	3.16351376377886	0.817337531088686
+238.87	13.7547167043829	3.16351484920866	0.821308749962556
+246.7	13.7556165276951	3.16351593385492	0.816375834910282
+242.04	13.7565163513173	3.16351701771763	0.811765336518949
+239.8	13.7574161752492	3.16351810079681	0.81651299753221
+237.83	13.7583159994907	3.16351918309244	0.812830398963809
+236.19	13.7592158240414	3.16352026460452	0.817202433979073
+239.27	13.7601156489012	3.16352134533306	0.814307458143075
+245.53	13.7610154740698	3.16352242527805	0.803039666825434
+237.52	13.7619152995471	3.16352350443949	0.80748893065333
+244.49	13.7628151253327	3.16352458281738	0.808847360890428
+239.62	13.7637149514265	3.16352566041172	0.816686626746507
+238.76	13.7646147778282	3.16352673722251	0.81000938909326
+233.18	13.7655146045377	3.16352781324974	0.813901674853982
+233.81	13.7664144315546	3.16352888849342	0.815415703717468
+228.21	13.7673142588789	3.16352996295354	0.8136028014007
+235.49	13.7682140865101	3.1635310366301	0.813618301763049
+243.09	13.7691139144482	3.16353210952311	0.810517349924082
+245.46	13.7700137426929	3.16353318163255	0.805652052161145
+262.75	13.770913571244	3.16353425295843	0.789537263850206
+264.6	13.7718134001012	3.16353532350074	0.820859084399419
+255.47	13.7727132292644	3.16353639325949	0.840070632813602
+251.58	13.7736130587332	3.16353746223468	0.822054511927691
+260.36	13.7745128885076	3.1635385304263	0.808429038769402
+259.37	13.7754127185872	3.16353959783435	0.836044502379725
+257.71	13.7763125489718	3.16354066445882	0.818664403218456
+253.99	13.7772123796612	3.16354173029973	0.832249361347166
+254.67	13.7781122106552	3.16354279535707	0.831288942076304
+253.32	13.7790120419536	3.16354385963083	0.829897108622037
+257.92	13.7799118735561	3.16354492312101	0.825595312060587
+254.12	13.7808117054625	3.16354598582762	0.827076960070535
+244.67	13.7817115376726	3.16354704775065	0.830252660478139
+262.45	13.7826113701862	3.1635481088901	0.809418860520307
+254.62	13.783511203003	3.16354916924597	0.807869183735633
+244.53	13.7844110361228	3.16355022881826	0.81493373283095
+244.57	13.7853108695454	3.16355128760696	0.816294857234673
+240.38	13.7862107032706	3.16355234561208	0.803487841624848
+241.52	13.7871105372981	3.16355340283362	0.805662657092944
+248.4	13.7880103716278	3.16355445927157	0.815391380202977
+233.78	13.7889102062593	3.16355551492592	0.819326664676023
+236.02	13.7898100411925	3.16355656979669	0.820600080248473
+235.84	13.7907098764272	3.16355762388387	0.815124881148396
+230.65	13.7916097119631	3.16355867718746	0.812833930911117
+235.07	13.7925095477999	3.16355972970745	0.822960660778565
+239.41	13.7934093839376	3.16356078144385	0.8139464756879
+254.87	13.7943092203758	3.16356183239665	0.792691252922622
+255.96	13.7952090571143	3.16356288256585	0.820129625592135
+256.12	13.796108894153	3.16356393195146	0.787473743812672
+258.7	13.7970087314915	3.16356498055346	0.791196895274425
+254.68	13.7979085691296	3.16356602837186	0.808649412764274
+260.21	13.7988084070673	3.16356707540666	0.795324931611754
+260.2	13.7997082453041	3.16356812165786	0.804412919182165
+262.85	13.8006080838399	3.16356916712545	0.805164423771831
+232.05	13.7115266709932	3.16255739134389	0.810372228870923
+237.12	13.7124264783847	3.16255851327702	0.808270454965458
+242.92	13.7133262860968	3.16255963442691	0.816691606341225
+232.51	13.7142260941295	3.16256075479355	0.814032042041924
+224.21	13.7151259024824	3.16256187437693	0.831731048504211
+226.62	13.7160257111553	3.16256299317705	0.819852071231747
+227.35	13.7169255201481	3.16256411119392	0.82981555837073
+226.84	13.7178253294605	3.16256522842753	0.823204879191638
+232.81	13.7187251390922	3.16256634487788	0.820632964030059
+232.01	13.719624949043	3.16256746054497	0.827527371997793
+233.68	13.7205247593128	3.1625685754288	0.827440656208525
+240.53	13.7214245699013	3.16256968952936	0.826521273899699
+247.34	13.7223243808082	3.16257080284666	0.829391157242999
+237.27	13.7232241920334	3.16257191538069	0.828645497675198
+233.38	13.7241240035766	3.16257302713146	0.821915910767031
+235.57	13.7250238154376	3.16257413809895	0.81806277304695
+227.71	13.7259236276162	3.16257524828318	0.819602424538529
+236.46	13.7268234401121	3.16257635768413	0.835147119471304
+222.06	13.7277232529252	3.16257746630181	0.829265029434501
+231.76	13.7286230660551	3.16257857413622	0.826622069704473
+242.29	13.7295228795018	3.16257968118735	0.836860070501891
+248.88	13.7304226932649	3.1625807874552	0.813588471637592
+241.71	13.7313225073442	3.16258189293977	0.821636100174178
+237.95	13.7322223217395	3.16258299764107	0.812417447700399
+233.4	13.7331221364506	3.16258410155908	0.807567254935676
+233.3	13.7340219514773	3.16258520469381	0.813182888283797
+239.22	13.7349217668192	3.16258630704525	0.818062260063096
+245.83	13.7358215824763	3.16258740861341	0.826994396565387
+232.8	13.7367213984483	3.16258850939829	0.822234586884519
+235.51	13.737621214735	3.16258960939987	0.801213842233338
+251.29	13.7385210313361	3.16259070861817	0.800237596966312
+247.88	13.7394208482514	3.16259180705317	0.823757197378391
+255.91	13.7403206654807	3.16259290470488	0.824918609883275
+250.47	13.7412204830237	3.1625940015733	0.814028914999747
+242.68	13.7421203008803	3.16259509765842	0.823934023760476
+229.38	13.7430201190502	3.16259619296025	0.829709396879901
+233.09	13.7439199375332	3.16259728747878	0.817421544135369
+229.98	13.7448197563291	3.16259838121401	0.812731417221547
+231.73	13.7457195754376	3.16259947416594	0.811842732175869
+226.8	13.7466193948586	3.16260056633457	0.821284856779453
+229.27	13.7475192145917	3.16260165771989	0.816447274628142
+236.28	13.7484190346368	3.16260274832191	0.83057471672016
+245.72	13.7493188549937	3.16260383814063	0.832144191835209
+240.64	13.7502186756621	3.16260492717604	0.808695316570502
+240.94	13.7511184966418	3.16260601542814	0.82078246504694
+239.95	13.7520183179326	3.16260710289693	0.827973237770756
+237.22	13.7529181395342	3.1626081895824	0.817292989720638
+245.21	13.7538179614464	3.16260927548457	0.796602467490173
+248.91	13.7547177836691	3.16261036060342	0.822979305913494
+249.01	13.755617606202	3.16261144493896	0.802518187347451
+249.75	13.7565174290448	3.16261252849118	0.811611297519936
+239.86	13.7574172521973	3.16261361126008	0.812840707165015
+233.31	13.7583170756593	3.16261469324567	0.828142412206761
+243.38	13.7592168994307	3.16261577444793	0.811364364080689
+242.4	13.7601167235111	3.16261685486687	0.804475521272657
+246.39	13.7610165479003	3.16261793450249	0.800600432870209
+236.11	13.7619163725981	3.16261901335478	0.803208582186445
+243.1	13.7628161976044	3.16262009142375	0.80694653760701
+240.55	13.7637160229188	3.16262116870939	0.824134454269155
+237.62	13.7646158485411	3.1626222452117	0.819254854594444
+234.88	13.7655156744712	3.16262332093069	0.806866336278101
+229.9	13.7664155007087	3.16262439586634	0.814832697600309
+234.22	13.7673153272536	3.16262547001866	0.816315586085064
+242.3	13.7682151541054	3.16262654338764	0.805210996433418
+256.4	13.7691149812641	3.16262761597329	0.822347907077197
+258.18	13.7700148087294	3.16262868777561	0.817911509651784
+245	13.7709146365011	3.16262975879458	0.824308658665373
+251.58	13.7718144645789	3.16263082903022	0.832658336372419
+252.87	13.7727142929626	3.16263189848251	0.839039926148165
+249.75	13.7736141216521	3.16263296715147	0.825618893891768
+254.04	13.774513950647	3.16263403503708	0.813497482290689
+258.66	13.7754137799472	3.16263510213935	0.818356588519796
+254.11	13.7763136095524	3.16263616845827	0.817086579259478
+260.64	13.7772134394624	3.16263723399384	0.813808353640406
+248.5	13.778113269677	3.16263829874607	0.827707200663339
+264.58	13.7790131001959	3.16263936271495	0.818580187198493
+268.04	13.779912931019	3.16264042590047	0.816353761196259
+268.64	13.780812762146	3.16264148830265	0.83474784486681
+261.14	13.7817125935767	3.16264254992147	0.823146246170458
+261.03	13.7826124253108	3.16264361075693	0.814025807157112
+260.13	13.7835122573482	3.16264467080904	0.806765419604964
+249.85	13.7844120896886	3.16264573007779	0.807462459847876
+251.61	13.7853119223318	3.16264678856318	0.798835700248433
+240.1	13.7862117552775	3.16264784626522	0.820545282072923
+241.1	13.7871115885256	3.16264890318389	0.80358398156151
+238.5	13.7880114220758	3.1626499593192	0.826888084830485
+240.03	13.7889112559279	3.16265101467114	0.818122531255327
+238.91	13.7898110900817	3.16265206923972	0.809241207205802
+238.56	13.7907109245369	3.16265312302493	0.820914200483839
+231.71	13.7916107592934	3.16265417602678	0.816789078321928
+234.42	13.7925105943508	3.16265522824525	0.819906024338431
+242.24	13.793410429709	3.16265627968036	0.826489720857464
+248.99	13.7943102653678	3.16265733033209	0.806698502467034
+260.04	13.7952101013269	3.16265838020045	0.763253836731753
+246.29	13.7961099375861	3.16265942928544	0.819689274509874
+249.93	13.7970097741451	3.16266047758705	0.813455267262158
+252.73	13.7979096110039	3.16266152510528	0.811611038909178
+251.6	13.798809448162	3.16266257184014	0.819988662686943
+246.98	13.7997092856194	3.16266361779161	0.817163895710292
+262.91	13.8006091233757	3.16266466295971	0.805601697730709
+232.53	13.7115277873674	3.16165291790096	0.820874838227153
+241.92	13.7124275939798	3.16165403951261	0.807026511023083
+243.14	13.7133274009128	3.16165516034122	0.81062948486086
+229.29	13.7142272081664	3.16165628038681	0.815892817714412
+226.73	13.7151270157402	3.16165739964938	0.812398840964179
+226.19	13.716026823634	3.16165851812891	0.823960419898489
+224.67	13.7169266318477	3.1616596358254	0.815982028983273
+225.62	13.717826440381	3.16166075273887	0.810087965414497
+234.01	13.7187262492336	3.1616618688693	0.818304420711608
+227.06	13.7196260584053	3.16166298421669	0.811952184945914
+224.49	13.720525867896	3.16166409878104	0.830408175479546
+234.67	13.7214256777054	3.16166521256236	0.821219978523349
+240.28	13.7223254878332	3.16166632556063	0.823219406912456
+248.06	13.7232252982793	3.16166743777587	0.823225563669541
+245.3	13.7241251090433	3.16166854920806	0.823088244117471
+245.49	13.7250249201252	3.1616696598572	0.825445379201633
+244.1	13.7259247315247	3.1616707697233	0.824571015164605
+234.9	13.7268245432415	3.16167187880635	0.819175655971112
+217.15	13.7277243552754	3.16167298710636	0.82303205034276
+222.2	13.7286241676263	3.16167409462331	0.824826357691436
+226.78	13.7295239802938	3.16167520135721	0.851752763643313
+236.2	13.7304237932777	3.16167630730806	0.814760618632129
+240.06	13.7313236065779	3.16167741247585	0.798764029553713
+226.84	13.7322234201941	3.16167851686059	0.817710134901418
+228.9	13.7331232341261	3.16167962046227	0.828664047731569
+236.82	13.7340230483736	3.1616807232809	0.824405091720413
+250.46	13.7349228629365	3.16168182531646	0.801358846259684
+239.51	13.7358226778145	3.16168292656896	0.816916929173299
+238.59	13.7367224930073	3.1616840270384	0.819606119951968
+235.64	13.7376223085148	3.16168512672478	0.811461552373538
+243.49	13.7385221243368	3.16168622562809	0.820256204963971
+252.6	13.7394219404729	3.16168732374834	0.81683246828143
+241.3	13.7403217569231	3.16168842108551	0.826458348801607
+247.7	13.741221573687	3.16168951763962	0.817062098688456
+244.18	13.7421213907645	3.16169061341066	0.814186346974341
+234.72	13.7430212081552	3.16169170839862	0.832001149380981
+234.32	13.7439210258591	3.16169280260352	0.828057249747364
+231.21	13.7448208438758	3.16169389602533	0.822703326624837
+222.65	13.7457206622052	3.16169498866407	0.824652451715031
+224.71	13.746620480847	3.16169608051974	0.825340925298138
+220.73	13.747520299801	3.16169717159233	0.824782945766333
+230.56	13.748420119067	3.16169826188183	0.831830745049619
+248.37	13.7493199386447	3.16169935138826	0.819591529370479
+240.8	13.7502197585339	3.1617004401116	0.822007545612639
+237.54	13.7511195787344	3.16170152805186	0.814433068401322
+241.02	13.7520193992461	3.16170261520903	0.80867081033085
+240.64	13.7529192200685	3.16170370158311	0.824154803951771
+246.64	13.7538190412016	3.16170478717411	0.803578237497477
+231.25	13.7547188626451	3.16170587198202	0.803279373019286
+238.62	13.7556186843988	3.16170695600684	0.815030831989375
+248.1	13.7565185064625	3.16170803924856	0.805724795953558
+232.47	13.7574183288358	3.1617091217072	0.80962783863419
+227.05	13.7583181515187	3.16171020338274	0.820926233032369
+231.47	13.7592179745109	3.16171128427518	0.83213794667536
+238.1	13.7601177978121	3.16171236438452	0.813377218583947
+239.83	13.7610176214222	3.16171344371077	0.801496192478025
+249.04	13.7619174453408	3.16171452225391	0.797827110254035
+245.46	13.7628172695679	3.16171560001396	0.813029925890276
+241.3	13.7637170941031	3.1617166769909	0.823396104444665
+239.02	13.7646169189463	3.16171775318474	0.808316066615775
+234.66	13.7655167440972	3.16171882859547	0.823861076909216
+227.15	13.7664165695555	3.1617199032231	0.818109303427579
+234.64	13.7673163953212	3.16172097706761	0.818329872244928
+250.66	13.7682162213939	3.16172205012902	0.803360113614818
+256.81	13.7691160477734	3.16172312240732	0.823002828325951
+248.51	13.7700158744595	3.16172419390251	0.824342858664678
+245.16	13.770915701452	3.16172526461458	0.816781681754925
+245.54	13.7718155287506	3.16172633454354	0.805107066018079
+248.13	13.7727153563552	3.16172740368938	0.820463598061631
+256.74	13.7736151842654	3.1617284720521	0.835447458724091
+262.01	13.7745150124811	3.16172953963171	0.809610731120529
+259.61	13.7754148410021	3.1617306064282	0.806137982536765
+257.49	13.7763146698281	3.16173167244156	0.815140478116643
+266.59	13.777214498959	3.1617327376718	0.805552629380333
+254.54	13.7781143283944	3.16173380211892	0.827111157850457
+263.68	13.7790141581341	3.16173486578292	0.825861271639932
+263.3	13.779913988178	3.16173592866378	0.820107937905684
+266.57	13.7808138185258	3.16173699076152	0.826637277809837
+273.24	13.7817136491773	3.16173805207613	0.819653902286469
+264.11	13.7826134801322	3.16173911260761	0.83349129036902
+252.3	13.7835133113904	3.16174017235596	0.823292845579776
+252.83	13.7844131429516	3.16174123132118	0.822770845245703
+242.68	13.7853129748156	3.16174228950326	0.817265768820851
+237.04	13.7862128069821	3.1617433469022	0.811367700209245
+235.02	13.787112639451	3.16174440351801	0.818849194555073
+244.26	13.788012472222	3.16174545935068	0.810652809353686
+233.84	13.7889123052949	3.16174651440021	0.813654404057614
+231	13.7898121386695	3.1617475686666	0.813077236463743
+230.98	13.7907119723455	3.16174862214985	0.815819033969865
+232.17	13.7916118063227	3.16174967484996	0.810786479422881
+243.92	13.7925116406009	3.16175072676692	0.819641468591724
+265.54	13.7934114751799	3.16175177790073	0.795836242756777
+259.22	13.7943113100595	3.1617528282514	0.768626934089029
+245.69	13.7952111452393	3.16175387781891	0.813524265267588
+247.41	13.7961109807193	3.16175492660328	0.816189212508791
+246.5	13.7970108164991	3.1617559746045	0.815674603888603
+248.69	13.7979106525786	3.16175702182256	0.812868562442668
+243.02	13.7988104889576	3.16175806825747	0.817516888127345
+250.81	13.7997103256357	3.16175911390923	0.800512887588834
+262.41	13.8006101626128	3.16176015877783	0.812107078384131
+238.22	13.7115289034207	3.16074844444185	0.821575588613247
+241.48	13.7124287092541	3.160749565732	0.823160721755668
+241.39	13.7133285154083	3.16075068623935	0.81392593470228
+231.96	13.714228321883	3.1607518059639	0.814816941742183
+233.22	13.715128128678	3.16075292490564	0.81187373479314
+229.54	13.7160279357929	3.16075404306458	0.819172862106325
+221.77	13.7169277432277	3.16075516044071	0.816721555956006
+225.42	13.7178275509821	3.16075627703402	0.820054217310094
+235.85	13.7187273590558	3.16075739284453	0.817258305146514
+225.52	13.7196271674487	3.16075850787223	0.82910160602594
+228.48	13.7205269761605	3.16075962211711	0.8257281480026
+233.66	13.7214267851909	3.16076073557918	0.823183566269581
+240.01	13.7223265945399	3.16076184825843	0.823981261911343
+244.3	13.7232264042071	3.16076296015486	0.830274697941299
+255.93	13.7241262141923	3.16076407126848	0.827169298239767
+236.32	13.7250260244953	3.16076518159927	0.822427015202967
+231.94	13.7259258351158	3.16076629114725	0.81953201844965
+227.41	13.7268256460537	3.1607673999124	0.810912038117225
+217.1	13.7277254573088	3.16076850789472	0.811919185249988
+232.4	13.7286252688807	3.16076961509423	0.825140514743354
+233.3	13.7295250807693	3.1607707215109	0.844549615846825
+244.11	13.7304248929744	3.16077182714474	0.827498961783151
+232.75	13.7313247054957	3.16077293199576	0.828341316665693
+227.07	13.732224518333	3.16077403606394	0.824576280642246
+240.6	13.733124331486	3.16077513934929	0.838701124816894
+249.18	13.7340241449547	3.16077624185181	0.819497125874946
+247.51	13.7349239587386	3.1607773435715	0.818238380067591
+243.34	13.7358237728377	3.16077844450834	0.807125152771591
+242.87	13.7367235872516	3.16077954466235	0.824645517396753
+235.36	13.7376234019802	3.16078064403352	0.81804084532326
+234.87	13.7385232170233	3.16078174262185	0.821962615071619
+244.05	13.7394230323805	3.16078284042733	0.818154395314346
+237.39	13.7403228480517	3.16078393744997	0.80774162463767
+242.98	13.7412226640367	3.16078503368977	0.814249993536497
+241.01	13.7421224803353	3.16078612914672	0.815778134379365
+231.64	13.7430222969471	3.16078722382083	0.806149866455237
+225.66	13.7439221138721	3.16078831771209	0.823952494879946
+229.15	13.7448219311099	3.16078941082049	0.823254706274164
+228.36	13.7457217486603	3.16079050314605	0.826441804732191
+229.29	13.7466215665232	3.16079159468875	0.830077195343228
+225.41	13.7475213846983	3.16079268544859	0.833655486474888
+237.95	13.7484212031853	3.16079377542559	0.817383441187525
+247.46	13.7493210219841	3.16079486461972	0.822204659400833
+240.9	13.7502208410944	3.160795953031	0.808614757721952
+238.06	13.751120660516	3.16079704065941	0.805221087505177
+243.93	13.7520204802487	3.16079812750497	0.82534507344492
+234.5	13.7529203002922	3.16079921356766	0.827396836028795
+230.48	13.7538201206464	3.16080029884749	0.813557613608415
+239.1	13.754719941311	3.16080138334446	0.794969435815212
+237.45	13.7556197622857	3.16080246705856	0.810288568168944
+251.24	13.7565195835704	3.16080354998979	0.811951400572241
+233.99	13.7574194051648	3.16080463213815	0.819319267040707
+227.53	13.7583192270688	3.16080571350365	0.821953070478181
+234.17	13.759219049282	3.16080679408627	0.815200881210505
+238.3	13.7601188718043	3.16080787388602	0.814163047844243
+233.9	13.7610186946354	3.16080895290289	0.818394450100484
+244.63	13.7619185177751	3.16081003113689	0.805792996025762
+245.77	13.7628183412232	3.16081110858801	0.813621758343566
+237.03	13.7637181649795	3.16081218525625	0.810813924021471
+244.15	13.7646179890437	3.16081326114162	0.804993618558206
+241.24	13.7655178134157	3.1608143362441	0.807421324565524
+236.57	13.7664176380951	3.1608154105637	0.808246553527658
+239.71	13.7673174630818	3.16081648410042	0.820473085360725
+237.25	13.7682172883755	3.16081755685425	0.820986184333452
+235.39	13.7691171139761	3.1608186288252	0.818582531905885
+242.88	13.7700169398832	3.16081970001326	0.824597419588303
+245.41	13.7709167660967	3.16082077041842	0.84650339570941
+244.7	13.7718165926164	3.1608218400407	0.841284941889042
+243.63	13.772716419442	3.16082290888009	0.846907448509212
+253.6	13.7736162465733	3.16082397693659	0.851958174625351
+252.36	13.7745160740101	3.16082504421019	0.843762985124242
+257.12	13.7754159017521	3.1608261107009	0.830848810286221
+255.18	13.7763157297991	3.1608271764087	0.811816468563119
+263.11	13.777215558151	3.16082824133362	0.810714544269891
+253.65	13.7781153868074	3.16082930547563	0.811505677671717
+259.58	13.7790152157682	3.16083036883474	0.824123498324481
+273.08	13.7799150450331	3.16083143141095	0.827487104363101
+265.49	13.7808148746019	3.16083249320425	0.808871049441586
+267.41	13.7817147044744	3.16083355421466	0.812531382374648
+275.23	13.7826145346504	3.16083461444215	0.83305316461722
+262.43	13.7835143651296	3.16083567388674	0.807018332290482
+256.3	13.7844141959118	3.16083673254842	0.81029552945417
+250.96	13.7853140269968	3.16083779042719	0.816264084380287
+234.08	13.7862138583843	3.16083884752305	0.818781330872107
+233.9	13.7871136900742	3.16083990383599	0.818753613997128
+231.73	13.7880135220663	3.16084095936603	0.819601845828435
+239.67	13.7889133543602	3.16084201411314	0.811427953638014
+232.22	13.7898131869557	3.16084306807735	0.818122830607586
+232.17	13.7907130198528	3.16084412125863	0.815700154973501
+234.39	13.791612853051	3.16084517365699	0.806146254280314
+242.26	13.7925126865502	3.16084622527244	0.828695070775082
+270.14	13.7934125203502	3.16084727610496	0.759408690479073
+245.92	13.7943123544508	3.16084832615456	0.806561060554994
+243.33	13.7952121888517	3.16084937542124	0.817897414866243
+244.29	13.7961120235526	3.16085042390499	0.826303151507731
+242.93	13.7970118585535	3.16085147160581	0.820521822215627
+241.47	13.797911693854	3.16085251852371	0.811352575160177
+240.01	13.7988115294539	3.16085356465867	0.81415841659501
+243.42	13.7997113653531	3.16085461001071	0.80793506966226
+258.78	13.8006112015512	3.16085565457981	0.799107363303136
+246.7	13.711530019153	3.15984397096656	0.811698433297325
+247.56	13.7124298242078	3.15984509193522	0.82066084818513
+245.19	13.7133296295834	3.1598462121213	0.819021715667228
+241.28	13.7142294352794	3.15984733152481	0.806666256403945
+237.1	13.7151292412957	3.15984845014573	0.822126620718401
+226.33	13.716029047632	3.15984956798407	0.820188088736154
+222.07	13.7169288542881	3.15985068503983	0.826762193279231
+227.41	13.7178286612638	3.159851801313	0.820800807382658
+235.66	13.7187284685589	3.15985291680359	0.821490346493574
+228.5	13.7196282761731	3.15985403151159	0.827747776655521
+233.08	13.7205280841062	3.159855145437	0.822276410032699
+229.9	13.7214278923581	3.15985625857982	0.815747229043987
+234.82	13.7223277009283	3.15985737094005	0.821676116082389
+240.26	13.7232275098169	3.15985848251769	0.821093156486603
+238.89	13.7241273190234	3.15985959331273	0.826006990469827
+227.37	13.7250271285477	3.15986070332517	0.823162680430934
+230.28	13.7259269383896	3.15986181255502	0.813915844702618
+231.23	13.7268267485489	3.15986292100227	0.812380269143141
+219.4	13.7277265590252	3.15986402866692	0.831116825168743
+231.23	13.7286263698185	3.15986513554897	0.82602643356434
+239.7	13.7295261809284	3.15986624164842	0.828495190243522
+240.93	13.7304259923548	3.15986734696526	0.855717669797645
+233.14	13.7313258040974	3.1598684514995	0.833867732640262
+225.2	13.732225616156	3.15986955525113	0.834073130154685
+228.74	13.7331254285304	3.15987065822015	0.824411603721949
+230.68	13.7340252412204	3.15987176040656	0.827320836214771
+243.67	13.7349250542256	3.15987286181036	0.827250446179685
+231.47	13.735824867546	3.15987396243155	0.828443496645451
+230.83	13.7367246811813	3.15987506227013	0.821982774691473
+240.49	13.7376244951312	3.15987616132609	0.815928097265994
+234.92	13.7385243093955	3.15987725959944	0.827544945131917
+238.6	13.7394241239741	3.15987835709016	0.821276658702037
+241.7	13.7403239388666	3.15987945379827	0.816330251334809
+237.23	13.7412237540729	3.15988054972376	0.820254190458648
+244.38	13.7421235695928	3.15988164486663	0.811883245039992
+230.37	13.7430233854259	3.15988273922687	0.819358764045809
+229.13	13.7439232015722	3.15988383280449	0.833518453427065
+234.55	13.7448230180313	3.15988492559949	0.818484119624435
+234.02	13.7457228348031	3.15988601761185	0.820037236227963
+230.25	13.7466226518872	3.15988710884159	0.835444786759322
+234.84	13.7475224692836	3.1598881992887	0.824689179075301
+239.09	13.7484222869919	3.15988928895318	0.817682430599512
+245.92	13.749322105012	3.15989037783503	0.809420940729708
+243.33	13.7502219233436	3.15989146593424	0.805700375606145
+239.6	13.7511217419865	3.15989255325081	0.811460201739667
+239.65	13.7520215609405	3.15989363978476	0.809499530701399
+234.26	13.7529213802053	3.15989472553606	0.807133677650881
+238.81	13.7538211997808	3.15989581050472	0.805243924867463
+231.82	13.7547210196666	3.15989689469074	0.799133114267814
+232.8	13.7556208398627	3.15989797809412	0.814116503955952
+238.59	13.7565206603686	3.15989906071486	0.821060971817011
+234.99	13.7574204811844	3.15990014255296	0.815207480102002
+243.34	13.7583203023096	3.15990122360841	0.807936855952642
+242.76	13.7592201237441	3.15990230388121	0.816517256750115
+246.91	13.7601199454876	3.15990338337136	0.814804013286721
+237.29	13.76101976754	3.15990446207886	0.823365226849547
+245.24	13.761919589901	3.15990554000371	0.815893256211384
+240.89	13.7628194125704	3.15990661714591	0.824003323167066
+242.63	13.763719235548	3.15990769350546	0.805003782680267
+242.76	13.7646190588335	3.15990876908235	0.81895887795724
+247.07	13.7655188824267	3.15990984387658	0.815201870592856
+242.89	13.7664187063274	3.15991091788816	0.805863136576319
+237.05	13.7673185305353	3.15991199111707	0.821627489145082
+237.01	13.7682183550503	3.15991306356333	0.817135059064352
+229.12	13.7691181798722	3.15991413522693	0.812568478595687
+233.84	13.7700180050006	3.15991520610786	0.834272794305224
+247.2	13.7709178304354	3.15991627620613	0.846841928439442
+247.62	13.7718176561763	3.15991734552173	0.847148134812695
+251.16	13.7727174822231	3.15991841405466	0.853524547504771
+259.72	13.7736173085757	3.15991948180493	0.844604920844173
+266.03	13.7745171352337	3.15992054877253	0.839474931370883
+270.16	13.775416962197	3.15992161495745	0.836355233537576
+269.13	13.7763167894653	3.15992268035971	0.822548069024832
+261.71	13.7772166170384	3.15992374497929	0.81979726368569
+251.03	13.7781164449161	3.15992480881619	0.829941774009134
+249.87	13.7790162730981	3.15992587187042	0.826148945329315
+251.51	13.7799161015843	3.15992693414197	0.828539514102206
+262.92	13.7808159303743	3.15992799563085	0.814880419050245
+257.88	13.7817157594681	3.15992905633704	0.809138822451055
+262.94	13.7826155888653	3.15993011626055	0.8177179502452
+249.96	13.7835154185658	3.15993117540138	0.82273043921502
+251.89	13.7844152485692	3.15993223375952	0.822385165434493
+251.68	13.7853150788754	3.15993329133498	0.802328042328042
+239.7	13.7862149094842	3.15993434812775	0.816368778827106
+227.47	13.7871147403954	3.15993540413784	0.82737464987572
+236.33	13.7880145716086	3.15993645936523	0.828142076502732
+246.32	13.7889144031238	3.15993751380994	0.810718154306581
+248.33	13.7898142349406	3.15993856747195	0.807288978602532
+239.99	13.7907140670589	3.15993962035127	0.816825160187632
+239.57	13.7916138994783	3.1599406724479	0.813995846590584
+240.89	13.7925137321988	3.15994172376183	0.814587449602286
+249.87	13.79341356522	3.15994277429306	0.791392647101428
+247.33	13.7943133985418	3.15994382404159	0.807682303592036
+243.45	13.7952132321639	3.15994487300743	0.81798865319987
+239.09	13.7961130660861	3.15994592119056	0.815066330354459
+240.89	13.7970129003082	3.15994696859099	0.810182246457169
+244.28	13.7979127348299	3.15994801520872	0.809815179581744
+241.44	13.7988125696511	3.15994906104374	0.80352561449971
+243.87	13.7997124047714	3.15995010609606	0.800566259772642
+246.2	13.8006122401908	3.15995115036567	0.795183466992724
+240.81	13.7115311345644	3.15893949747509	0.803105776559625
+236.4	13.7124309388408	3.15894061812226	0.808957867263236
+238.92	13.7133307434379	3.15894173798708	0.801472315452942
+244.36	13.7142305483555	3.15894285706954	0.787235389796702
+234.21	13.7151303535934	3.15894397536964	0.822076557456025
+230.47	13.7160301591513	3.15894509288739	0.8279927618491
+226.69	13.716929965029	3.15894620962278	0.828914325979565
+231.18	13.7178297712262	3.15894732557581	0.814600773870927
+231.16	13.7187295777429	3.15894844074648	0.829268642790497
+229.28	13.7196293845787	3.15894955513478	0.831146700555263
+234.39	13.7205291917333	3.15895066874072	0.815833476165991
+237.88	13.7214289992067	3.1589517815643	0.83358087731442
+230.49	13.7223288069986	3.1589528936055	0.818334400224828
+234.51	13.7232286151086	3.15895400486434	0.821047517396777
+232.98	13.7241284235367	3.15895511534081	0.828691860465116
+225.46	13.7250282322826	3.1589562250349	0.818053602202722
+222.54	13.7259280413461	3.15895733394663	0.809702576102556
+227.22	13.7268278507269	3.15895844207598	0.805867662850066
+224.05	13.7277276604248	3.15895954942295	0.827037227783814
+228.01	13.7286274704396	3.15896065598755	0.813118109354888
+229.88	13.7295272807711	3.15896176176977	0.817955567999316
+230.85	13.730427091419	3.15896286676961	0.834147651196394
+227.15	13.7313269023832	3.15896397098707	0.81425735314193
+237.06	13.7322267136633	3.15896507442215	0.809489379540568
+239.41	13.7331265252593	3.15896617707484	0.802862762153653
+244.65	13.7340263371707	3.15896727894515	0.82097008746234
+238.41	13.7349261493976	3.15896838003307	0.831821946460407
+235.85	13.7358259619395	3.1589694803386	0.825051801893308
+234.29	13.7367257747963	3.15897057986175	0.817234246622832
+235.21	13.7376255879677	3.15897167860251	0.813862093604859
+229.43	13.7385254014536	3.15897277656087	0.826359341900607
+240.78	13.7394252152537	3.15897387373684	0.818270548266607
+251.61	13.7403250293678	3.15897497013041	0.80644920169826
+244.2	13.7412248437956	3.15897606574159	0.826313775465425
+234.46	13.742124658537	3.15897716057038	0.823179769840974
+226.16	13.7430244735917	3.15897825461676	0.824397621779493
+223.18	13.7439242889595	3.15897934788074	0.832311735427826
+232.57	13.7448241046401	3.15898044036233	0.81910570626754
+232.22	13.7457239206334	3.15898153206151	0.818824871648602
+235.38	13.7466237369391	3.15898262297828	0.823032662103335
+237.95	13.747523553557	3.15898371311266	0.823514443448726
+235.18	13.7484233704868	3.15898480246462	0.81763900789789
+240.42	13.7493231877284	3.15898589103418	0.82339853122955
+241.2	13.7502230052815	3.15898697882132	0.823659275318997
+237.19	13.751122823146	3.15898806582606	0.823539969935608
+236.97	13.7520226413214	3.15898915204839	0.810046232761587
+241.52	13.7529224598078	3.1589902374883	0.818948330910018
+232.01	13.7538222786048	3.1589913221458	0.808371693812526
+230.82	13.7547220977121	3.15899240602088	0.811869567975639
+238.84	13.7556219171297	3.15899348911354	0.799723239594873
+238.55	13.7565217368572	3.15899457142379	0.827587919377381
+242.77	13.7574215568944	3.15899565295161	0.823693605499612
+247.82	13.7583213772411	3.15899673369701	0.80458852985453
+245.44	13.7592211978971	3.15899781366	0.815767957079975
+245.07	13.7601210188622	3.15899889284055	0.804991381248595
+248.06	13.7610208401361	3.15899997123868	0.808859172586711
+233.49	13.7619206617186	3.15900104885439	0.823808689101142
+231.18	13.7628204836095	3.15900212568767	0.826191426754795
+235.28	13.7637203058085	3.15900320173851	0.822838983368435
+239.9	13.7646201283155	3.15900427700693	0.822211681507514
+247.44	13.7655199511302	3.15900535149292	0.821451188449035
+240.94	13.7664197742524	3.15900642519647	0.824567131445119
+244.48	13.7673195976818	3.15900749811759	0.818535108562363
+245.32	13.7682194214183	3.15900857025627	0.815739149559571
+234.73	13.7691192454616	3.15900964161251	0.821892570005311
+239.97	13.7700190698116	3.15901071218632	0.83170783108596
+266.6	13.7709188944678	3.15901178197768	0.833835276402009
+262.42	13.7718187194302	3.15901285098661	0.83549210551196
+275.5	13.7727185446986	3.15901391921309	0.831232825617549
+286.98	13.7736183702726	3.15901498665713	0.821053524060997
+281.82	13.7745181961521	3.15901605331872	0.82184929984441
+303.35	13.7754180223369	3.15901711919787	0.811995753399808
+297.74	13.7763178488267	3.15901818429457	0.806123389997234
+289.78	13.7772176756212	3.15901924860882	0.80221022147164
+269.97	13.7781175027204	3.15902031214062	0.818584826333068
+249.98	13.7790173301239	3.15902137488997	0.819262799365159
+250.01	13.7799171578315	3.15902243685686	0.816766864872954
+250.98	13.7808169858431	3.1590234980413	0.817800252844501
+250.89	13.7817168141583	3.15902455844329	0.812602014557753
+237.14	13.782616642777	3.15902561806281	0.815921958907308
+241.17	13.7835164716989	3.15902667689988	0.808823585145209
+250.84	13.7844163009238	3.15902773495449	0.819053212240703
+239.72	13.7853161304515	3.15902879222664	0.814008776979493
+232.34	13.7862159602818	3.15902984871633	0.818453377475969
+229.01	13.7871157904144	3.15903090442355	0.810980142295848
+243.88	13.7880156208491	3.15903195934831	0.797356932901273
+245.96	13.7889154515857	3.1590330134906	0.818531948754097
+248.66	13.789815282624	3.15903406685043	0.808452667833465
+233.47	13.7907151139637	3.15903511942778	0.817356120092379
+230.15	13.7916149456047	3.15903617122267	0.822526365549765
+238.98	13.7925147775466	3.15903722223509	0.812939046288157
+251.97	13.7934146097893	3.15903827246503	0.79222298743326
+241.62	13.7943144423325	3.1590393219125	0.805926420839621
+243.18	13.7952142751761	3.15904037057749	0.789241406364929
+236.22	13.7961141083197	3.15904141846001	0.810156210047638
+240.64	13.7970139417632	3.15904246556005	0.800390366601606
+239.33	13.7979137755064	3.15904351187761	0.805019312667129
+241.31	13.798813609549	3.15904455741269	0.801796861651189
+245.63	13.7997134438908	3.15904560216529	0.804617200456938
+238.99	13.8006132785316	3.1590466461354	0.799293072766159
+237.17	13.7115322496549	3.15803502396745	0.827109102869652
+234.6	13.7124320531531	3.15803614429313	0.797123341920575
+237.32	13.713331856972	3.15803726383668	0.799931537928784
+234.93	13.7142316611114	3.1580383825981	0.802104668978308
+221.84	13.715131465571	3.15803950057739	0.820216511109212
+230.41	13.7160312703507	3.15804061777455	0.804504810038629
+220.4	13.7169310754502	3.15804173418957	0.826855261211748
+223.31	13.7178308808693	3.15804284982245	0.806271595170257
+227.88	13.7187306866077	3.1580439646732	0.806522242051689
+228.45	13.7196304926653	3.15804507874181	0.815400496277916
+234.09	13.7205302990417	3.15804619202828	0.819942501490985
+237.91	13.7214301057369	3.1580473045326	0.826899864068872
+229.74	13.7223299127505	3.15804841625479	0.827611711704981
+233.31	13.7232297200824	3.15804952719483	0.815967234522467
+233.75	13.7241295277323	3.15805063735273	0.821934628509443
+225.89	13.7250293356999	3.15805174672847	0.827008669364818
+234.04	13.7259291439852	3.15805285532207	0.812298343624424
+228.08	13.7268289525877	3.15805396313352	0.818493641238071
+226.02	13.7277287615074	3.15805507016282	0.82522123058213
+226.49	13.728628570744	3.15805617640997	0.82163603177849
+228.99	13.7295283802973	3.15805728187496	0.832317733527789
+227.88	13.730428190167	3.1580583865578	0.833796940194715
+214.81	13.7313280003529	3.15805949045848	0.83480850236052
+241.06	13.7322278108548	3.15806059357701	0.833061202639222
+234.81	13.7331276216725	3.15806169591337	0.834163752462889
+237.14	13.7340274328058	3.15806279746758	0.821297519989959
+234.64	13.7349272442544	3.15806389823962	0.830931939249688
+237.48	13.735827056018	3.1580649982295	0.814550416113858
+248.63	13.7367268680966	3.15806609743721	0.815078605503498
+232.86	13.7376266804898	3.15806719586276	0.822705135249287
+234.92	13.7385264931975	3.15806829350614	0.826159116695613
+242.74	13.7394263062193	3.15806939036736	0.82407569151572
+246.09	13.7403261195552	3.1580704864464	0.804154652841425
+239.67	13.7412259332047	3.15807158174327	0.808567672452931
+228.44	13.7421257471679	3.15807267625797	0.824878990304145
+230.48	13.7430255614443	3.15807376999049	0.823325312837068
+236.64	13.7439253760338	3.15807486294084	0.826903833484679
+228.44	13.7448251909362	3.15807595510902	0.824002985910236
+227.73	13.7457250061513	3.15807704649501	0.826157238937794
+238.49	13.7466248216787	3.15807813709883	0.814874300622842
+243.76	13.7475246375183	3.15807922692046	0.81889495950169
+250.52	13.7484244536699	3.15808031595991	0.80576426965109
+245.24	13.7493242701333	3.15808140421718	0.817599435042498
+241.63	13.7502240869082	3.15808249169226	0.829019746121298
+242.29	13.7511239039943	3.15808357838516	0.8238212773624
+238.2	13.7520237213915	3.15808466429587	0.811072724679482
+239.56	13.7529235390996	3.15808574942439	0.820802652462709
+235.34	13.7538233571183	3.15808683377072	0.812242996097618
+231.92	13.7547231754474	3.15808791733486	0.824990233007276
+240.65	13.7556229940867	3.15808900011681	0.828636170514091
+242.63	13.7565228130359	3.15809008211656	0.814140217639848
+241.98	13.7574226322949	3.15809116333412	0.820799499858245
+243.25	13.7583224518633	3.15809224376948	0.815421220460732
+242.09	13.7592222717411	3.15809332342264	0.811263016868644
+236.44	13.7601220919279	3.1580944022936	0.814782427649386
+235.75	13.7610219124235	3.15809548038237	0.812350573915112
+238.1	13.7619217332277	3.15809655768893	0.80296492842658
+229.5	13.7628215543403	3.15809763421328	0.809446134523004
+234.11	13.7637213757611	3.15809870995543	0.805082251365405
+238.03	13.7646211974898	3.15809978491538	0.823535944325165
+242	13.7655210195262	3.15810085909311	0.820255592513377
+241.3	13.7664208418701	3.15810193248864	0.814744566882711
+240.91	13.7673206645213	3.15810300510196	0.820315467651105
+245.11	13.7682204874795	3.15810407693307	0.807729550275122
+236.75	13.7691203107445	3.15810514798196	0.82430965787001
+239.88	13.7700201343162	3.15810621824864	0.823979988360282
+250.1	13.7709199581941	3.15810728773311	0.840710280373832
+277.7	13.7718197823783	3.15810835643536	0.835537550567756
+277.09	13.7727196068683	3.15810942435539	0.83114484962527
+292.68	13.7736194316641	3.1581104914932	0.811195556947172
+291.04	13.7745192567653	3.15811155784879	0.804605811380754
+304.76	13.7754190821717	3.15811262342215	0.812819336616496
+304.85	13.7763189078832	3.1581136882133	0.792837812322991
+305.93	13.7772187338995	3.15811475222222	0.777370825582922
+280.94	13.7781185602204	3.15811581544891	0.784435925442072
+254.58	13.7790183868456	3.15811687789338	0.827789428367356
+242.38	13.7799182137749	3.15811793955562	0.815232237888027
+248.01	13.7808180410082	3.15811900043563	0.8160377873046
+241.96	13.7817178685451	3.1581200605334	0.811213324148116
+229.63	13.7826176963855	3.15812111984895	0.815154282103738
+237.71	13.7835175245291	3.15812217838226	0.807210485450395
+237.4	13.7844173529757	3.15812323613333	0.814861973555978
+230.87	13.7853171817251	3.15812429310217	0.812413270611155
+228.71	13.786217010777	3.15812534928877	0.815333619311313
+244.05	13.7871168401313	3.15812640469314	0.806925555314601
+252.66	13.7880166697877	3.15812745931526	0.798076599373829
+240.43	13.788916499746	3.15812851315514	0.815559868807336
+242.52	13.789816330006	3.15812956621278	0.805049457438739
+231.66	13.7907161605674	3.15813061848817	0.820022539871667
+229.53	13.79161599143	3.15813166998132	0.821644158161926
+247.64	13.7925158225936	3.15813272069222	0.820541037499303
+253.21	13.793415654058	3.15813377062087	0.772328300769686
+240.98	13.7943154858229	3.15813481976728	0.809255777739798
+236.96	13.7952153178881	3.15813586813143	0.809943566065016
+233.44	13.7961151502534	3.15813691571333	0.807751193055035
+232.42	13.7970149829186	3.15813796251298	0.81065191899344
+239.2	13.7979148158835	3.15813900853037	0.804860560625555
+235.41	13.7988146491478	3.15814005376551	0.80218902227748
+232.93	13.7997144827112	3.15814109821839	0.816404277061497
+239.31	13.8006143165737	3.15814214188901	0.800134475689188
+240.83	13.7115333644244	3.15713055044365	0.814674058670571
+231.05	13.7124331671446	3.15713167044784	0.819340188452921
+235.8	13.7133329701856	3.15713278967012	0.812541655911576
+231.77	13.714232773547	3.1571339081105	0.808982425013521
+232.04	13.7151325772287	3.15713502576897	0.813753816280457
+226.53	13.7160323812304	3.15713614264554	0.830075120929092
+233.3	13.7169321855519	3.15713725874019	0.813835688942035
+225.26	13.717831990193	3.15713837405293	0.817430464830814
+226.16	13.7187317951534	3.15713948858376	0.824121324835756
+236.41	13.719631600433	3.15714060233267	0.806362160432624
+239.37	13.7205314060315	3.15714171529967	0.815858009544312
+236.96	13.7214312119486	3.15714282748475	0.833504725527643
+228.77	13.7223310181843	3.15714393888792	0.818272488484526
+231.9	13.7232308247381	3.15714504950916	0.82341993597856
+240.74	13.72413063161	3.15714615934848	0.820090726779414
+230.32	13.7250304387997	3.15714726840588	0.82464380421592
+230.39	13.7259302463069	3.15714837668136	0.80718849446185
+228.4	13.7268300541315	3.15714948417491	0.818560854492645
+226.02	13.7277298622732	3.15715059088654	0.826149987789798
+219.8	13.7286296707318	3.15715169681623	0.83293033068503
+230.95	13.729529479507	3.157152801964	0.826252697457544
+230.7	13.7304292885987	3.15715390632984	0.841507831728951
+226.51	13.7313290980067	3.15715500991374	0.834427307945326
+239.46	13.7322289077306	3.15715611271571	0.829971061272191
+223.71	13.7331287177703	3.15715721473575	0.827284086514146
+232.6	13.7340285281255	3.15715831597385	0.824390958713412
+239.27	13.7349283387961	3.15715941643002	0.839381731268567
+240.64	13.7358281497817	3.15716051610424	0.813677239145535
+241.64	13.7367279610823	3.15716161499653	0.810989931630836
+232.6	13.7376277726975	3.15716271310687	0.819465376972969
+235.96	13.7385275846271	3.15716381043527	0.804426025308204
+246.76	13.739427396871	3.15716490698173	0.802885324269162
+244.3	13.7403272094288	3.15716600274624	0.815916717111704
+240.01	13.7412270223003	3.1571670977288	0.818609569125033
+233.3	13.7421268354855	3.15716819192942	0.825070671180684
+237.89	13.7430266489839	3.15716928534808	0.806729258478636
+235.95	13.7439264627954	3.1571703779848	0.812709524940525
+232.46	13.7448262769197	3.15717146983956	0.82105136339906
+237.77	13.7457260913567	3.15717256091237	0.837385136586101
+230.72	13.7466259061062	3.15717365120322	0.817426726730134
+239.18	13.7475257211678	3.15717474071212	0.813329168840963
+246.19	13.7484255365413	3.15717582943906	0.815872115845946
+250.66	13.7493253522266	3.15717691738404	0.814283286508221
+249.07	13.7502251682235	3.15717800454706	0.838513599795684
+245.14	13.7511249845316	3.15717909092812	0.811975214404382
+253.51	13.7520248011508	3.15718017652721	0.800463462661854
+251.18	13.7529246180808	3.15718126134435	0.814433445451833
+234.77	13.7538244353215	3.15718234537951	0.81506833756105
+238.05	13.7547242528726	3.15718342863271	0.822475903526349
+249.49	13.7556240707338	3.15718451110394	0.822430367613893
+231.41	13.756523888905	3.1571855927932	0.820130862475704
+240.74	13.7574237073859	3.15718667370049	0.819391448265828
+243.33	13.7583235261763	3.15718775382581	0.824912559675125
+243.96	13.759223345276	3.15718883316915	0.818566213224132
+243.67	13.7601231646847	3.15718991173052	0.810747916643321
+234.58	13.7610229844023	3.15719098950991	0.812469879993996
+226.82	13.7619228044285	3.15719206650732	0.820532153878442
+222.35	13.762822624763	3.15719314272276	0.818137814475239
+228.16	13.7637224454058	3.15719421815621	0.816013009914814
+242.77	13.7646222663564	3.15719529280769	0.804871721296977
+233.69	13.7655220876148	3.15719636667718	0.816154333393286
+241.41	13.7664219091806	3.15719743976468	0.81513341145283
+241.92	13.7673217310537	3.1571985120702	0.816683292054329
+236.1	13.7682215532339	3.15719958359373	0.81296707260651
+243.73	13.7691213757209	3.15720065433528	0.811496478410801
+243.48	13.7700211985144	3.15720172429483	0.828428143962822
+260.51	13.7709210216143	3.1572027934724	0.843178501769848
+264.23	13.7718208450204	3.15720386186797	0.848028734656938
+280.69	13.7727206687324	3.15720492948155	0.827631727607347
+306.58	13.77362049275	3.15720599631313	0.827981917863001
+301.9	13.7745203170732	3.15720706236272	0.830031979507553
+314.25	13.7754201417016	3.15720812763031	0.801646028825691
+307.9	13.776319966635	3.1572091921159	0.802070859621216
+307.76	13.7772197918732	3.15721025581949	0.801633072574659
+289.01	13.778119617416	3.15721131874108	0.808980828089108
+277.3	13.7790194432631	3.15721238088066	0.814223521520685
+250.58	13.7799192694144	3.15721344223825	0.828523381068717
+237.17	13.7808190958695	3.15721450281382	0.832880861106943
+229.01	13.7817189226284	3.15721556260739	0.812120061526302
+236.31	13.7826187496907	3.15721662161895	0.820008518715019
+231.03	13.7835185770562	3.15721767984851	0.827455823880565
+232.55	13.7844184047247	3.15721873729605	0.819033483778151
+235.67	13.7853182326961	3.15721979396158	0.819527933435218
+244.94	13.7862180609699	3.1572208498451	0.806913804015264
+242.15	13.7871178895461	3.1572219049466	0.802721887008037
+240.41	13.7880177184245	3.15722295926609	0.80732583748696
+237.53	13.7889175476047	3.15722401280355	0.813324009288573
+226.97	13.7898173770865	3.15722506555901	0.819122240213646
+233.78	13.7907172068698	3.15722611753244	0.821882067759876
+239.87	13.7916170369543	3.15722716872385	0.819444913331008
+243.47	13.7925168673398	3.15722821913324	0.805564846960941
+255.63	13.7934166980261	3.1572292687606	0.784873411814897
+249.39	13.7943165290129	3.15723031760594	0.816739216188347
+236.84	13.7952163603001	3.15723136566925	0.811210431579068
+233.41	13.7961161918873	3.15723241295054	0.81754377917178
+240.29	13.7970160237744	3.15723345944979	0.808294285769837
+233.87	13.7979158559611	3.15723450516702	0.814972916468688
+236.67	13.7988156884473	3.15723555010222	0.806968178441012
+237.09	13.7997155212327	3.15723659425538	0.807356857120988
+241.02	13.800615354317	3.15723763762651	0.799121309273749
+242.08	13.711534478873	3.15622607690368	0.83727117064535
+233.13	13.7124342808155	3.15622719658638	0.811638926571693
+226.04	13.7133340830787	3.1562283154874	0.804995543394897
+231.66	13.7142338856624	3.15622943360674	0.802945702003458
+227.96	13.7151336885663	3.15623055094439	0.823662094943202
+221.39	13.7160334917902	3.15623166750036	0.830737917606746
+228.44	13.716933295334	3.15623278327465	0.827838881628218
+228.49	13.7178330991973	3.15623389826725	0.822949740643921
+229.63	13.71873290338	3.15623501247816	0.820146261619089
+233.52	13.7196327078818	3.15623612590738	0.809338412301678
+241.86	13.7205325127025	3.15623723855491	0.81476143403687
+239.15	13.7214323178419	3.15623835042075	0.819360495834941
+232.46	13.7223321232998	3.15623946150489	0.827687371415415
+230.16	13.7232319290759	3.15624057180734	0.820722979302812
+226.99	13.72413173517	3.15624168132809	0.815242864939485
+230.48	13.7250315415819	3.15624279006714	0.817345694543906
+229.75	13.7259313483113	3.15624389802449	0.814104199215636
+231.71	13.7268311553581	3.15624500520015	0.830493257176226
+232.81	13.7277309627221	3.1562461115941	0.833667669082168
+229.68	13.7286307704029	3.15624721720634	0.834595483067676
+235.55	13.7295305784003	3.15624832203689	0.831267602662419
+236.45	13.7304303867143	3.15624942608572	0.850955175427644
+232.91	13.7313301953444	3.15625052935285	0.825865942042528
+230.61	13.7322300042905	3.15625163183827	0.820921432838962
+232.43	13.7331298135524	3.15625273354198	0.81802169347615
+234.66	13.7340296231299	3.15625383446398	0.82787421119793
+228.28	13.7349294330227	3.15625493460426	0.825289794681415
+231.81	13.7358292432306	3.15625603396283	0.825072106522478
+234.99	13.7367290537533	3.15625713253969	0.823813612352111
+229.45	13.7376288645907	3.15625823033483	0.823710662850324
+233.81	13.7385286757426	3.15625932734825	0.817826300717961
+237.93	13.7394284872086	3.15626042357995	0.816203360260649
+250.59	13.7403282989886	3.15626151902993	0.824692783617859
+249.79	13.7412281110824	3.15626261369818	0.818277999804343
+231.38	13.7421279234897	3.15626370758471	0.82940200716276
+234.05	13.7430277362103	3.15626480068952	0.818140690445581
+234.96	13.743927549244	3.1562658930126	0.819619681411665
+232.31	13.7448273625906	3.15626698455396	0.823428337047014
+236.86	13.7457271762498	3.15626807531358	0.847733708856254
+235.41	13.7466269902214	3.15626916529147	0.816042888352305
+234.4	13.7475268045052	3.15627025448763	0.825042198219344
+239.82	13.748426619101	3.15627134290206	0.822865187700927
+250.13	13.7493264340085	3.15627243053476	0.838652912048303
+248	13.7502262492275	3.15627351738571	0.823800603093465
+253.46	13.7511260647578	3.15627460345493	0.808243334238595
+246.48	13.7520258805992	3.15627568874242	0.811304546351581
+248.66	13.7529256967514	3.15627677324816	0.798888295700782
+231.58	13.7538255132143	3.15627785697216	0.821413113433723
+247.24	13.7547253299875	3.15627893991442	0.817436645235412
+250.88	13.7556251470709	3.15628002207493	0.815667637368784
+236.96	13.7565249644643	3.1562811034537	0.821854167895699
+239.41	13.7574247821674	3.15628218405072	0.82559602565443
+239.25	13.75832460018	3.156283263866	0.818785808931937
+244.68	13.7592244185018	3.15628434289952	0.816391202156658
+245.92	13.7601242371328	3.1562854211513	0.819472690561059
+249.55	13.7610240560725	3.15628649862132	0.806696218051495
+239.51	13.7619238753209	3.15628757530959	0.808980925047965
+228.01	13.7628236948776	3.1562886512161	0.818433877638196
+231.44	13.7637235147425	3.15628972634086	0.809315718294758
+233.85	13.7646233349153	3.15629080068386	0.808510302609574
+235.27	13.7655231553958	3.15629187424511	0.810567360523051
+242.22	13.7664229761839	3.15629294702459	0.80750813789671
+234.11	13.7673227972791	3.15629401902231	0.810056978921783
+234.77	13.7682226186814	3.15629509023827	0.81454152296923
+235.35	13.7691224403906	3.15629616067247	0.815545406365932
+243.69	13.7700222624063	3.1562972303249	0.822239199194625
+274.42	13.7709220847284	3.15629829919556	0.823496559101106
+278.31	13.7718219073566	3.15629936728446	0.831948975692914
+295.38	13.7727217302907	3.15630043459158	0.820091628390776
+283.37	13.7736215535306	3.15630150111694	0.824262619518825
+278.02	13.7745213770759	3.15630256686052	0.822952119548643
+291.84	13.7754212009264	3.15630363182234	0.802748772701498
+311.47	13.776321025082	3.15630469600237	0.798002292843395
+307.28	13.7772208495423	3.15630575940063	0.805040476183249
+290.99	13.7781206743073	3.15630682201712	0.790630094266071
+277.16	13.7790204993765	3.15630788385183	0.798937287483493
+268.07	13.7799203247499	3.15630894490475	0.824140987403521
+253.52	13.7808201504273	3.1563100051759	0.825285467070229
+241.77	13.7817199764082	3.15631106466526	0.829564101951767
+241.75	13.7826198026927	3.15631212337284	0.83328083084361
+232.67	13.7835196292803	3.15631318129864	0.818841283478391
+244.31	13.784419456171	3.15631423844265	0.823514001486884
+248.51	13.7853192833645	3.15631529480487	0.812838785215594
+241.9	13.7862191108605	3.1563163503853	0.812610511267447
+235.62	13.7871189386588	3.15631740518394	0.808593612209624
+242.61	13.7880187667593	3.15631845920079	0.817651583364015
+241.63	13.7889185951616	3.15631951243585	0.801855622727021
+240.12	13.7898184238656	3.15632056488912	0.807937357319669
+241.21	13.790718252871	3.15632161656059	0.814192022041207
+242.15	13.7916180821777	3.15632266745026	0.829225905643754
+245.4	13.7925179117853	3.15632371755813	0.795484549284975
+264.03	13.7934177416937	3.15632476688421	0.775788139655523
+244.83	13.7943175719027	3.15632581542848	0.806003195617439
+245.7	13.7952174024119	3.15632686319096	0.798722388151379
+243.68	13.7961172332213	3.15632791017163	0.800979315394472
+242.56	13.7970170643305	3.1563289563705	0.811534714696965
+237.22	13.7979168957394	3.15633000178756	0.806452883706272
+240.32	13.7988167274477	3.15633104642281	0.812686959103053
+250.52	13.7997165594551	3.15633209027626	0.802854728710242
+250.08	13.8006163917616	3.15633313334789	0.798578686507613
+241.06	13.7115355930007	3.15532160334756	0.799833521799221
+245.14	13.7124353941657	3.15532272270877	0.817708204298754
+230.68	13.7133351956513	3.15532384128852	0.810379288452042
+228.95	13.7142349974575	3.15532495908682	0.812811357213688
+228.51	13.7151347995839	3.15532607610366	0.818324053898317
+230.23	13.7160346020303	3.15532719233904	0.82365758528773
+234.81	13.7169344047965	3.15532830779296	0.816460173643293
+233.61	13.7178342078823	3.15532942246541	0.816210283292016
+226.41	13.7187340112874	3.15533053635641	0.82639801538666
+233.41	13.7196338150117	3.15533164946593	0.817081107726434
+239.57	13.7205336190549	3.15533276179399	0.815598228356749
+245.03	13.7214334234167	3.15533387334059	0.823130072929464
+233.36	13.722333228097	3.15533498410571	0.823053276422584
+236.28	13.7232330330956	3.15533609408936	0.824826858291283
+221.52	13.7241328384121	3.15533720329154	0.829140488936407
+233.81	13.7250326440465	3.15533831171225	0.825196639853829
+238.41	13.7259324499984	3.15533941935148	0.837742198245356
+235.88	13.7268322562677	3.15534052620923	0.839612906184787
+237.58	13.727732062854	3.15534163228551	0.835049789731251
+232.47	13.7286318697573	3.15534273758031	0.83151870027124
+232.48	13.7295316769772	3.15534384209363	0.838329327623625
+244.08	13.7304314845136	3.15534494582546	0.840200058952733
+235.43	13.7313312923661	3.15534604877582	0.837105021101612
+226.76	13.7322311005347	3.15534715094468	0.829702650172134
+232.05	13.7331309090191	3.15534825233207	0.828124093098845
+235.53	13.734030717819	3.15534935293796	0.82161461211438
+232.69	13.7349305269342	3.15535045276237	0.830563230299891
+225.64	13.7358303363645	3.15535155180529	0.831935047361299
+235.1	13.7367301461097	3.15535265006671	0.820760871591269
+227.06	13.7376299561695	3.15535374754665	0.834234604562819
+232.64	13.7385297665438	3.15535484424508	0.81142522698744
+237.87	13.7394295772323	3.15535594016203	0.814190009045248
+244.27	13.7403293882347	3.15535703529748	0.817363625597945
+241.56	13.7412291995509	3.15535812965143	0.81774794817064
+226.71	13.7421290111807	3.15535922322388	0.813758698280763
+225.64	13.7430288231237	3.15536031601483	0.810864111186562
+225.59	13.7439286353798	3.15536140802427	0.800989738426273
+238.26	13.7448284479488	3.15536249925222	0.809147907833814
+232.68	13.7457282608305	3.15536358969866	0.826117641067057
+232.31	13.7466280740245	3.15536467936359	0.830838084641198
+235.33	13.7475278875307	3.15536576824702	0.820036324010171
+233.27	13.7484277013489	3.15536685634893	0.830342325110405
+250	13.7493275154788	3.15536794366934	0.836141375209093
+250.6	13.7502273299202	3.15536903020824	0.826823276053007
+258.4	13.751127144673	3.15537011596562	0.798697538175283
+248.3	13.7520269597368	3.15537120094149	0.805825979406476
+243.17	13.7529267751114	3.15537228513584	0.810682501759025
+230.24	13.7538265907967	3.15537336854868	0.824988094300639
+239.98	13.7547264067923	3.15537445117999	0.817161514890072
+238.3	13.7556262230981	3.15537553302979	0.82787255880052
+237.43	13.7565260397139	3.15537661409807	0.810348053892216
+241.25	13.7574258566394	3.15537769438483	0.828509252229527
+248.88	13.7583256738744	3.15537877389006	0.813957379935539
+247.05	13.7592254914186	3.15537985261377	0.821395790585342
+246.06	13.760125309272	3.15538093055595	0.812159940209268
+245.77	13.7610251274341	3.1553820077166	0.814329401485365
+243.15	13.7619249459049	3.15538308409573	0.824451007631789
+238.25	13.762824764684	3.15538415969332	0.819764214826492
+234.89	13.7637245837713	3.15538523450938	0.809920544299113
+237.19	13.7646244031665	3.15538630854391	0.809691325549073
+241.97	13.7655242228694	3.15538738179691	0.811104451923225
+252.38	13.7664240428798	3.15538845426837	0.813474355259345
+240.38	13.7673238631975	3.1553895259583	0.81810495125072
+238.12	13.7682236838222	3.15539059686668	0.815503257545539
+242.78	13.7691235047537	3.15539166699353	0.821799776179992
+244.42	13.7700233259918	3.15539273633884	0.81503413140126
+243.67	13.7709231475363	3.1553938049026	0.809334512881199
+257.49	13.7718229693869	3.15539487268482	0.817233503886125
+266.5	13.7727227915434	3.1553959396855	0.819434094045857
+268.8	13.7736226140056	3.15539700590463	0.810420968010398
+258.93	13.7745224367733	3.15539807134221	0.814788653593309
+272.28	13.7754222598462	3.15539913599824	0.819164772672938
+300.78	13.7763220832241	3.15540019987273	0.796599937059658
+298.13	13.7772219069069	3.15540126296566	0.796703545402228
+283.65	13.7781217308942	3.15540232527704	0.807105402698403
+274.39	13.7790215551858	3.15540338680687	0.794391258993958
+263.76	13.7799213797816	3.15540444755514	0.807439180806998
+268.07	13.7808212046813	3.15540550752186	0.813698114602339
+280.32	13.7817210298846	3.15540656670701	0.800265322703499
+256.19	13.7826208553914	3.15540762511061	0.813628970416806
+260.33	13.7835206812015	3.15540868273265	0.812735813266932
+246.37	13.7844205073145	3.15540973957313	0.808453512478617
+243.75	13.7853203337303	3.15541079563204	0.811889275000743
+240.59	13.7862201604487	3.15541185090939	0.813684147112865
+233.39	13.7871199874694	3.15541290540517	0.823918035939093
+241	13.7880198147922	3.15541395911939	0.81022328452136
+239.4	13.7889196424169	3.15541501205204	0.810604560478896
+232.47	13.7898194703433	3.15541606420312	0.817400435739618
+241.92	13.7907192985711	3.15541711557262	0.81691030696499
+242.4	13.7916191271001	3.15541816616056	0.8183209655789
+255.07	13.79251895593	3.15541921596692	0.77957694408424
+237.18	13.7934187850608	3.15542026499171	0.789815697046289
+241.49	13.7943186144921	3.15542131323492	0.801607524912781
+236.01	13.7952184442237	3.15542236069656	0.809240739621729
+250.5	13.7961182742554	3.15542340737661	0.798562668554985
+243.69	13.797018104587	3.15542445327509	0.793583707261581
+246.7	13.7979179352182	3.15542549839198	0.796397330951833
+264.79	13.7988177661488	3.1554265427273	0.785933473358061
+264.13	13.7997175973786	3.15542758628103	0.79426134849427
+249.01	13.8006174289074	3.15542862905317	0.802138565203202
+242.82	13.7115367068075	3.15441712977528	0.809442203281871
+252.32	13.7124365071952	3.154418248815	0.819630889233493
+228.58	13.7133363079035	3.15441936707349	0.819906288644589
+233.58	13.7142361089323	3.15442048455075	0.821032348908734
+227.95	13.7151359102814	3.15442160124678	0.820373792142489
+237.95	13.7160357119505	3.15442271716156	0.806038906422415
+233.02	13.7169355139394	3.15442383229512	0.81611953487132
+242.35	13.7178353162479	3.15442494664743	0.814397665601892
+225.83	13.7187351188757	3.15442606021851	0.820386888319051
+240.04	13.7196349218227	3.15442717300834	0.823474032179287
+244.22	13.7205347250885	3.15442828501693	0.825463616647806
+238.46	13.7214345286731	3.15442939624428	0.82177488821614
+235.65	13.7223343325761	3.15443050669038	0.814922582882299
+232.28	13.7232341367973	3.15443161635524	0.818325553380515
+232.01	13.7241339413365	3.15443272523885	0.812843088058635
+243.02	13.7250337461936	3.15443383334121	0.817746578158961
+234.59	13.7259335513681	3.15443494066232	0.825405039608296
+229.13	13.7268333568601	3.15443604720217	0.824870367096812
+227.34	13.7277331626691	3.15443715296078	0.830629247185287
+226.56	13.728632968795	3.15443825793813	0.827096162955945
+229.8	13.7295327752376	3.15443936213422	0.82637946857872
+233.9	13.7304325819967	3.15444046554906	0.839333248402519
+230.49	13.7313323890719	3.15444156818264	0.831655795841237
+234.44	13.7322321964631	3.15444267003496	0.824568371118098
+233.14	13.7331320041702	3.15444377110601	0.83725597767381
+233.13	13.7340318121927	3.1544448713958	0.832318346630537
+232.2	13.7349316205306	3.15444597090434	0.833508122486682
+229.85	13.7358314291836	3.1544470696316	0.832111646188806
+246.72	13.7367312381514	3.1544481675776	0.8180897935404
+239.54	13.7376310474339	3.15444926474233	0.823471854495223
+232.78	13.7385308570309	3.15445036112579	0.825944014468665
+237.41	13.739430666942	3.15445145672797	0.824556742998891
+246.67	13.7403304771671	3.15445255154889	0.827298184129602
+239.04	13.7412302877059	3.15445364558853	0.817286520977188
+233.09	13.7421300985583	3.1544547388469	0.813389173355296
+226.33	13.743029909724	3.154455831324	0.815287694574389
+225.76	13.7439297212028	3.15445692301981	0.819620881495295
+239.07	13.7448295329944	3.15445801393435	0.815960245542239
+237.75	13.7457293450987	3.1544591040676	0.821555594425981
+230.57	13.7466291575154	3.15446019341957	0.828202797825893
+232.45	13.7475289702442	3.15446128199027	0.843849461527469
+232.73	13.748428783285	3.15446236977967	0.84036036766146
+238.34	13.7493285966376	3.15446345678779	0.824549383750847
+248.46	13.7502284103017	3.15446454301463	0.826880592068928
+244.93	13.751128224277	3.15446562846017	0.822846991048174
+238.9	13.7520280385635	3.15446671312443	0.817420602779041
+236.6	13.7529278531607	3.15446779700739	0.824486273069507
+230.74	13.7538276680686	3.15446888010906	0.812297507514883
+239.94	13.7547274832869	3.15446996242944	0.820665914803594
+244.86	13.7556272988154	3.15447104396853	0.821869148191032
+235.22	13.7565271146538	3.15447212472631	0.813363496176155
+242.76	13.7574269308019	3.1544732047028	0.822726774958934
+246.46	13.7583267472595	3.15447428389799	0.81556937122425
+247.8	13.7592265640264	3.15447536231188	0.811078966125792
+246.2	13.7601263811023	3.15447643994447	0.829170214614649
+239.97	13.7610261984871	3.15447751679576	0.818361399450194
+238.52	13.7619260161805	3.15447859286574	0.825013551114805
+238.83	13.7628258341822	3.15447966815441	0.818846707152348
+237.23	13.7637256524921	3.15448074266178	0.828201089548141
+242.93	13.76462547111	3.15448181638784	0.813166563877315
+249.49	13.7655252900355	3.15448288933259	0.803629389761757
+254.13	13.7664251092685	3.15448396149603	0.809157172585864
+244.46	13.7673249288088	3.15448503287816	0.817229620301997
+240.07	13.7682247486561	3.15448610347898	0.822981123208271
+239.01	13.7691245688102	3.15448717329847	0.821168155316642
+245.01	13.770024389271	3.15448824233666	0.824868802465544
+252.54	13.770924210038	3.15448931059352	0.823805716224121
+257.56	13.7718240311112	3.15449037806907	0.808075201303335
+260.21	13.7727238524904	3.15449144476329	0.811032632990612
+271.52	13.7736236741752	3.1544925106762	0.810678526506141
+258.53	13.7745234961655	3.15449357580778	0.818033942037013
+264.85	13.775423318461	3.15449464015804	0.816015381699028
+281.9	13.7763231410615	3.15449570372697	0.804390663228196
+290.68	13.7772229639668	3.15449676651457	0.806976766614908
+273.83	13.7781227871768	3.15449782852085	0.796062855544818
+269.03	13.779022610691	3.1544988897458	0.804517765976025
+260.25	13.7799224345094	3.15449995018942	0.809039152261848
+287.68	13.7808222586317	3.1545010098517	0.765420929906602
+287.76	13.7817220830576	3.15450206873265	0.745284279103542
+290.28	13.782621907787	3.15450312683227	0.756666235246209
+304.78	13.7835217328196	3.15450418415055	0.755274990322485
+270.49	13.7844215581552	3.1545052406875	0.802846120369492
+256.29	13.7853213837936	3.1545062964431	0.826009192039528
+242.48	13.7862212097346	3.15450735141737	0.819325101007227
+241.24	13.7871210359779	3.15450840561029	0.817307621940064
+251.87	13.7880208625233	3.15450945902187	0.806757379904993
+246.54	13.7889206893706	3.15451051165211	0.803531088436406
+240.15	13.7898205165195	3.15451156350101	0.821696501250339
+237.34	13.7907203439699	3.15451261456855	0.829377990096207
+245.21	13.7916201717214	3.15451366485475	0.809100314790763
+246.67	13.792519999774	3.1545147143596	0.782018533161824
+229.31	13.7934198281273	3.1545157630831	0.815600960175402
+237.04	13.7943196567812	3.15451681102525	0.802078654537927
+228.94	13.7952194857354	3.15451785818605	0.816430404240104
+247.82	13.7961193149896	3.15451890456549	0.794742500058004
+242.62	13.7970191445438	3.15451995016358	0.812511514827485
+250.47	13.7979189743976	3.15452099498031	0.811630152673126
+251.41	13.7988188045508	3.15452203901568	0.794266545616816
+253.68	13.7997186350032	3.15452308226969	0.78816700299885
+258.04	13.8006184657545	3.15452412474235	0.802262330655093
+240.65	13.7115378202934	3.15351265618685	0.820045509644217
+249.42	13.7124376199039	3.15351377490509	0.814362346671958
+229.83	13.7133374198352	3.15351489284232	0.820450651655143
+227.11	13.7142372200869	3.15351600999854	0.803707652508823
+235.29	13.7151370206589	3.15351712637375	0.810132605304212
+228.26	13.7160368215509	3.15351824196794	0.811281396670221
+233.33	13.7169366227628	3.15351935678113	0.81335466691765
+235.24	13.7178364242941	3.1535204708133	0.803860068505788
+241.77	13.7187362261449	3.15352158406446	0.814269511207129
+244.9	13.7196360283147	3.1535226965346	0.826553172295254
+246.12	13.7205358308035	3.15352380822373	0.809923576559655
+241.37	13.721435633611	3.15352491913183	0.815871620136294
+245.4	13.7223354367369	3.15352602925891	0.818315338065102
+244.26	13.723235240181	3.15352713860498	0.830241556068115
+239.4	13.7241350439431	3.15352824717002	0.825371186739552
+245.96	13.7250348480231	3.15352935495403	0.816979575067912
+232.68	13.7259346524205	3.15353046195702	0.825317162576248
+231.55	13.7268344571354	3.15353156817898	0.835981784816149
+233.14	13.7277342621673	3.15353267361991	0.825061016551739
+231.94	13.7286340675161	3.15353377827981	0.831623982745821
+231.47	13.7295338731816	3.15353488215868	0.827035334801306
+239.08	13.7304336791635	3.15353598525652	0.846141660937584
+246.17	13.7313334854617	3.15353708757332	0.844111987087963
+236.17	13.7322332920758	3.15353818910909	0.836770283249254
+236.99	13.7331330990057	3.15353928986382	0.839264235827303
+226.9	13.7340329062511	3.15354038983751	0.826735369276528
+229.32	13.7349327138119	3.15354148903017	0.823165102467212
+231.35	13.7358325216878	3.15354258744178	0.823515009059302
+239.25	13.7367323298785	3.15354368507235	0.823916689613738
+243.18	13.7376321383839	3.15354478192187	0.809101220318694
+230.54	13.7385319472037	3.15354587799035	0.817848615272307
+235.24	13.7394317563377	3.15354697327779	0.822595277904823
+235	13.7403315657857	3.15354806778417	0.82416732895022
+232.49	13.7412313755474	3.15354916150951	0.813811793875069
+234.61	13.7421311856227	3.1535502544538	0.813895296555499
+219.62	13.7430309960112	3.15355134661703	0.825736065674958
+232.96	13.7439308067129	3.15355243799922	0.821060780047914
+246.49	13.7448306177274	3.15355352860034	0.806320998762794
+246.95	13.7457304290545	3.15355461842042	0.827697570300317
+230.76	13.7466302406941	3.15355570745943	0.837798923891052
+238.08	13.7475300526458	3.15355679571739	0.836752264974268
+246.99	13.7484298649095	3.15355788319428	0.855005996698151
+246.19	13.7493296774849	3.15355896989012	0.830227415255636
+249.52	13.7502294903718	3.15356005580489	0.84187087946262
+248.46	13.7511293035701	3.1535611409386	0.823027904879421
+237.44	13.7520291170793	3.15356222529124	0.827625173540733
+239.84	13.7529289308995	3.15356330886282	0.819067336787642
+240.4	13.7538287450302	3.15356439165333	0.820445270933416
+235.42	13.7547285594714	3.15356547366277	0.826579265444137
+236.62	13.7556283742227	3.15356655489114	0.816622631539216
+236.91	13.7565281892839	3.15356763533843	0.811093450643743
+236.08	13.7574280046549	3.15356871500466	0.819574817393419
+241.46	13.7583278203354	3.15356979388981	0.82162874563703
+242.34	13.7592276363251	3.15357087199388	0.818129321813371
+239.62	13.7601274526239	3.15357194931688	0.831028529606427
+234.74	13.7610272692315	3.1535730258588	0.8267084938252
+231.9	13.7619270861477	3.15357410161963	0.834735673437467
+247.13	13.7628269033723	3.15357517659939	0.829530306062569
+242.91	13.7637267209051	3.15357625079807	0.826851828872683
+245.51	13.7646265387457	3.15357732421566	0.808469798759153
+259.57	13.7655263568941	3.15357839685216	0.810376706504709
+270.13	13.76642617535	3.15357946870758	0.805728320198072
+262.67	13.7673259941131	3.15358053978191	0.826112120383917
+251.28	13.7682258131832	3.15358161007515	0.831301300741919
+242.94	13.7691256325602	3.1535826795873	0.822301985783595
+264.81	13.7700254522437	3.15358374831836	0.814855033119774
+258.69	13.7709252722336	3.15358481626833	0.827389755526692
+261.89	13.7718250925297	3.1535858834372	0.828601807549176
+271.49	13.7727249131316	3.15358694982498	0.822582543980502
+275.43	13.7736247340393	3.15358801543166	0.80911054375506
+261.29	13.7745245552524	3.15358908025724	0.828138087153367
+269.47	13.7754243767707	3.15359014430172	0.809461847169527
+277.04	13.7763241985941	3.1535912075651	0.798595287056077
+281.76	13.7772240207223	3.15359227004738	0.801817629199635
+272.65	13.778123843155	3.15359333174855	0.807091794077425
+296.23	13.7790236658921	3.15359439266862	0.717851834358981
+289.33	13.7799234889332	3.15359545280758	0.741616574831636
+281.13	13.7808233122783	3.15359651216544	0.781338838723295
+266.92	13.7817231359271	3.15359757074219	0.799973142438047
+290.93	13.7826229598793	3.15359862853782	0.766434072740678
+303.74	13.7835227841347	3.15359968555235	0.774551476676787
+303.62	13.7844226086932	3.15360074178576	0.751315954567453
+280.47	13.7853224335544	3.15360179723806	0.792066480959866
+266.08	13.7862222587182	3.15360285190924	0.808179952384862
+247.65	13.7871220841843	3.15360390579931	0.806924767364727
+250.05	13.7880219099525	3.15360495890826	0.810298122902646
+256.1	13.7889217360225	3.15360601123609	0.806620794598767
+247.35	13.7898215623943	3.15360706278279	0.815758548746931
+248.54	13.7907213890674	3.15360811354838	0.809026089474016
+248.86	13.7916212160418	3.15360916353284	0.794660638746348
+232.02	13.7925210433172	3.15361021273618	0.848168163030894
+225.16	13.7934208708933	3.1536112611584	0.829412551079766
+224.9	13.79432069877	3.15361230879948	0.815066039499097
+226.32	13.795220526947	3.15361335565944	0.821525033189385
+236.46	13.796120355424	3.15361440173827	0.805100713469195
+237.2	13.797020184201	3.15361544703597	0.808018513161701
+243.41	13.7979200132775	3.15361649155253	0.820490273875651
+251.47	13.7988198426535	3.15361753528796	0.810012227839323
+256.44	13.7997196723287	3.15361857824226	0.808247994974654
+259.61	13.8006195023029	3.15361962041542	0.806556867057585
+245.06	13.7115389334583	3.15260818258229	0.804262864041044
+236.84	13.712438732292	3.15260930097903	0.814048888237747
+232.93	13.7133385314464	3.152610418595	0.802905984935741
+232.31	13.7142383309213	3.15261153543018	0.804915344208783
+237.74	13.7151381307164	3.15261265148457	0.811860256429755
+231.49	13.7160379308316	3.15261376675818	0.814374062599645
+241	13.7169377312665	3.152614881251	0.798632482632998
+239.46	13.7178375320211	3.15261599496304	0.798429206573046
+246.54	13.7187373330949	3.15261710789428	0.80863385659737
+236.12	13.7196371344879	3.15261822004473	0.825378633404115
+244.35	13.7205369361998	3.15261933141438	0.811555419629431
+237.89	13.7214367382304	3.15262044200324	0.811972348433728
+246.22	13.7223365405794	3.15262155181131	0.802841150526763
+245.6	13.7232363432467	3.15262266083858	0.817936624442049
+240.8	13.724136146232	3.15262376908505	0.820914550513714
+239.94	13.725035949535	3.15262487655072	0.817645053422601
+234.01	13.7259357531556	3.15262598323558	0.824345080486232
+236.37	13.7268355570936	3.15262708913965	0.823828430703839
+230.88	13.7277353613486	3.15262819426291	0.832060799243186
+238.43	13.7286351659205	3.15262929860536	0.843274459117014
+230.52	13.7295349708091	3.15263040216701	0.830895189505412
+243.41	13.7304347760142	3.15263150494785	0.839640964234465
+239.34	13.7313345815354	3.15263260694788	0.816286706616475
+244.98	13.7322343873727	3.15263370816709	0.815293107632789
+241.1	13.7331341935257	3.1526348086055	0.829332513846304
+234.86	13.7340339999943	3.15263590826309	0.826539349468368
+227.18	13.7349338067781	3.15263700713987	0.831502552163601
+235.23	13.7358336138771	3.15263810523583	0.817974704622348
+239.02	13.7367334212909	3.15263920255097	0.814391289802622
+244.52	13.7376332290194	3.15264029908529	0.810673757319501
+232.12	13.7385330370623	3.15264139483879	0.818888535567984
+233.83	13.7394328454194	3.15264248981147	0.825263395901636
+232.74	13.7403326540905	3.15264358400333	0.819129709966469
+236.18	13.7412324630754	3.15264467741436	0.807644961967657
+234.98	13.7421322723737	3.15264577004457	0.813600431537975
+226.29	13.7430320819854	3.15264686189395	0.826703626871474
+230.78	13.7439318919101	3.1526479529625	0.81113404542498
+259.1	13.7448317021477	3.15264904325022	0.805923677057224
+241.43	13.7457315126979	3.15265013275711	0.818638634796762
+241.57	13.7466313235606	3.15265122148316	0.833910548828554
+247.88	13.7475311347354	3.15265230942839	0.826507664279851
+246.27	13.7484309462222	3.15265339659277	0.826995047245559
+247.96	13.7493307580207	3.15265448297632	0.835371053053374
+252.55	13.7502305701307	3.15265556857904	0.848692756536217
+245	13.751130382552	3.15265665340091	0.819359181672508
+238.21	13.7520301952844	3.15265773744194	0.809210038371907
+237.22	13.7529300083276	3.15265882070213	0.814675206134974
+244.15	13.7538298216814	3.15265990318147	0.80994536063132
+243.25	13.7547296353456	3.15266098487998	0.814856763387504
+236.16	13.75562944932	3.15266206579763	0.826173592838192
+239.81	13.7565292636044	3.15266314593444	0.804154205281576
+240.36	13.7574290781984	3.1526642252904	0.819852066566385
+234.1	13.7583288931019	3.15266530386551	0.83036409205481
+240.85	13.7592287083148	3.15266638165976	0.819206748610633
+241.94	13.7601285238366	3.15266745867317	0.819926959453132
+240.25	13.7610283396673	3.15266853490572	0.823962223101971
+234.95	13.7619281558066	3.15266961035742	0.822802648453577
+238.78	13.7628279722543	3.15267068502825	0.823321453413744
+246.98	13.7637277890101	3.15267175891823	0.817567067666948
+247.88	13.7646276060738	3.15267283202735	0.818625092691396
+271.59	13.7655274234452	3.15267390435561	0.811773837042536
+286.33	13.7664272411242	3.15267497590301	0.79608841645012
+278.62	13.7673270591103	3.15267604666955	0.829142895340287
+268.99	13.7682268774036	3.15267711665522	0.82935198430356
+265.98	13.7691266960036	3.15267818586002	0.829259185652255
+286.4	13.7700265149102	3.15267925428396	0.816468866613009
+283.72	13.7709263341231	3.15268032192703	0.816329581866313
+274.78	13.7718261536422	3.15268138878923	0.817600222964028
+277.94	13.7727259734672	3.15268245487055	0.804232804232804
+277.59	13.7736257935979	3.15268352017101	0.827673482765528
+260	13.7745256140341	3.15268458469059	0.824266022639525
+253.59	13.7754254347755	3.15268564842929	0.825922579101939
+263.59	13.7763252558219	3.15268671138712	0.803118444823829
+277.73	13.7772250771731	3.15268777356407	0.807993957487539
+280.12	13.7781248988289	3.15268883496014	0.763753504024192
+260.73	13.779024720789	3.15268989557534	0.777212999120109
+262.36	13.7799245430532	3.15269095540965	0.813700430397214
+272.1	13.7808243656213	3.15269201446307	0.809228542367577
+272.09	13.7817241884931	3.15269307273562	0.813846686169042
+284.17	13.7826240116684	3.15269413022727	0.803795749195505
+271.35	13.7835238351469	3.15269518693804	0.808304420964096
+276.34	13.7844236589283	3.15269624286792	0.809392167741563
+274.28	13.7853234830126	3.15269729801691	0.795294315854955
+305.02	13.7862233073994	3.15269835238502	0.700334334061135
+279.94	13.7871231320885	3.15269940597222	0.77860041924981
+275.96	13.7880229570798	3.15270045877854	0.749304834213222
+256.6	13.7889227823729	3.15270151080396	0.808899304241507
+246.66	13.7898226079676	3.15270256204848	0.794147175289898
+245.34	13.7907224338638	3.15270361251211	0.795454114613941
+242.05	13.7916222600612	3.15270466219484	0.813350501241608
+226.3	13.7925220865596	3.15270571109667	0.827694722788691
+222.19	13.7934219133588	3.15270675921759	0.818956487497539
+218.72	13.7943217404585	3.15270780655762	0.81655128392036
+227.15	13.7952215678585	3.15270885311674	0.816345299277406
+236.5	13.7961213955585	3.15270989889495	0.824883327794715
+233.76	13.7970212235585	3.15271094389226	0.822914519596007
+244.23	13.7979210518581	3.15271198810866	0.823804264126356
+257.5	13.7988208804571	3.15271303154416	0.794420050514863
+259.58	13.7997207093553	3.15271407419874	0.793066213297799
+252.38	13.8006205385525	3.15271511607241	0.790197119740089
+248.58	13.7115400463023	3.15170370896158	0.804171064604186
+236.12	13.7124398443594	3.15170482703684	0.803119056675542
+232.34	13.7133396427372	3.15170594433154	0.800242878399158
+233.35	13.7142394414354	3.15170706084568	0.800446030677258
+243.19	13.7151392404539	3.15170817657926	0.800145861943222
+239.19	13.7160390397924	3.15170929153228	0.813114754098361
+239.71	13.7169388394507	3.15171040570474	0.811253219580956
+240.35	13.7178386394286	3.15171151909663	0.805258265936973
+247.32	13.7187384397258	3.15171263170796	0.803789763009105
+242.41	13.7196382403422	3.15171374353872	0.806294282668038
+238.91	13.7205380412774	3.15171485458891	0.823884079499154
+241.1	13.7214378425314	3.15171596485852	0.811725387441622
+244.82	13.7223376441038	3.15171707434757	0.811211919186063
+244.31	13.7232374459944	3.15171818305605	0.804177970494644
+241.82	13.724137248203	3.15171929098395	0.826700755115014
+228.72	13.7250370507294	3.15172039813127	0.830266902081431
+238	13.7259368535733	3.15172150449802	0.814156077135977
+236.68	13.7268366567346	3.15172261008419	0.804921651109273
+232.59	13.727736460213	3.15172371488977	0.826074667806891
+232.84	13.7286362640083	3.15172481891478	0.82976280188036
+228.94	13.7295360681203	3.15172592215921	0.828056568182396
+240.4	13.7304358725486	3.15172702462305	0.84600556732522
+237.55	13.7313356772932	3.1517281263063	0.823317753272903
+235.84	13.7322354823538	3.15172922720897	0.821949731307295
+235.22	13.7331352877302	3.15173032733105	0.81497749621712
+230.78	13.734035093422	3.15173142667254	0.818564198168078
+229.68	13.7349348994293	3.15173252523344	0.81282856037303
+241.5	13.7358347057516	3.15173362301375	0.814438524915587
+239.71	13.7367345123887	3.15173472001347	0.817272213295245
+246.56	13.7376343193405	3.15173581623259	0.811259692588383
+232.52	13.7385341266068	3.15173691167111	0.819110423457662
+243.26	13.7394339341872	3.15173800632904	0.808376706124391
+237.6	13.7403337420816	3.15173910020637	0.821516215779342
+247.9	13.7412335502898	3.15174019330309	0.81693273581908
+245.83	13.7421333588114	3.15174128561922	0.817219446706429
+245.44	13.7430331676464	3.15174237715474	0.804037483838241
+242.03	13.7439329767945	3.15174346790966	0.810931103335701
+246.58	13.7448327862554	3.15174455788397	0.817384033787598
+238.74	13.745732596029	3.15174564707768	0.828235767898183
+234.43	13.7466324061149	3.15174673549078	0.826371660388698
+240.98	13.747532216513	3.15174782312327	0.819316593917916
+244.83	13.7484320272231	3.15174890997515	0.824421572107015
+252.62	13.7493318382449	3.15174999604641	0.821515171040896
+257.03	13.7502316495783	3.15175108133706	0.822659279778393
+246.5	13.7511314612229	3.1517521658471	0.813240615908607
+238.12	13.7520312731786	3.15175324957652	0.821683486004904
+231.92	13.7529310854451	3.15175433252532	0.820965476510474
+236.64	13.7538308980222	3.15175541469351	0.812914906457453
+245.38	13.7547307109097	3.15175649608107	0.814328885444187
+241.17	13.7556305241074	3.15175757668801	0.809353573202643
+236.79	13.7565303376151	3.15175865651433	0.816872435778444
+238.44	13.7574301514324	3.15175973556002	0.820803127194628
+239.15	13.7583299655593	3.15176081382509	0.817578346501342
+251.54	13.7592297799954	3.15176189130953	0.80062068913187
+236.84	13.7601295947405	3.15176296801335	0.81293980206221
+233.67	13.7610294097945	3.15176404393653	0.822961596756816
+237.45	13.7619292251571	3.15176511907908	0.821176015445107
+242.46	13.762829040828	3.15176619344101	0.81549022864419
+243.76	13.7637288568071	3.15176726702229	0.823428769361571
+261.69	13.7646286730942	3.15176833982295	0.82044196119022
+282.14	13.7655284896889	3.15176941184296	0.804189310610894
+304.61	13.7664283065911	3.15177048308234	0.78298504373657
+279.48	13.7673281238006	3.15177155354108	0.811459460812223
+275.61	13.7682279413171	3.15177262321918	0.822485458328026
+282.64	13.7691277591404	3.15177369211664	0.811958850613138
+280.98	13.7700275772702	3.15177476023345	0.816841794423801
+277.41	13.7709273957065	3.15177582756962	0.815278147458078
+268.66	13.7718272144488	3.15177689412515	0.819070493108649
+287.99	13.7727270334971	3.15177795990002	0.788673270360947
+296.28	13.7736268528511	3.15177902489425	0.797458811703916
+267.66	13.7745266725105	3.15178008910783	0.804301653633442
+264.97	13.7754264924752	3.15178115254077	0.813389174524909
+257.57	13.7763263127449	3.15178221519304	0.820575849638529
+279.85	13.7772261333194	3.15178327706467	0.799833347549094
+279.21	13.7781259541984	3.15178433815564	0.747337644244861
+263.25	13.7790257753818	3.15178539846595	0.803425697308683
+270.11	13.7799255968693	3.15178645799561	0.811169309936771
+271.88	13.7808254186607	3.15178751674461	0.823315785366556
+260.1	13.7817252407558	3.15178857471294	0.81744966442953
+267.58	13.7826250631543	3.15178963190062	0.793290070228465
+266.75	13.783524885856	3.15179068830764	0.801086380403889
+267.39	13.7844247088607	3.15179174393399	0.802304385210662
+269.63	13.7853245321682	3.15179279877967	0.808676263109603
+270.04	13.7862243557783	3.15179385284469	0.812814799187785
+287.23	13.7871241796907	3.15179490612904	0.799391228641496
+283.52	13.7880240039052	3.15179595863272	0.766533520696637
+261.71	13.7889238284215	3.15179701035574	0.791780618311534
+246.54	13.7898236532396	3.15179806129808	0.81096389658707
+246.3	13.790723478359	3.15179911145975	0.806105859896489
+237.61	13.7916233037797	3.15180016084074	0.817443786531615
+226.89	13.7925231295013	3.15180120944106	0.820692424546636
+226.76	13.7934229555237	3.1518022572607	0.808329139714998
+220.55	13.7943227818466	3.15180330429966	0.825968943072552
+228.02	13.7952226084699	3.15180435055794	0.818568190765209
+236.45	13.7961224353932	3.15180539603555	0.823131251515797
+242.39	13.7970222626164	3.15180644073247	0.817069079299068
+248.8	13.7979220901392	3.15180748464871	0.802020933977456
+247.04	13.7988219179615	3.15180852778426	0.799465530752075
+242.31	13.7997217460829	3.15180957013913	0.815362113421493
+254.84	13.8006215745033	3.15181061171331	0.794524077109477
+238.67	13.7115411588254	3.15079923532473	0.818374769317107
+235.83	13.7124409561061	3.15080035307851	0.809884070916753
+239.54	13.7133407537075	3.15080147005195	0.802105554560407
+241.65	13.7142405516293	3.15080258624505	0.806632602704365
+238.72	13.7151403498714	3.15080370165782	0.826378786451629
+244.52	13.7160401484335	3.15080481629026	0.827085921307721
+244.06	13.7169399473154	3.15080593014235	0.811247185657492
+240.16	13.7178397465168	3.1508070432141	0.815135898443755
+243.54	13.7187395460376	3.15080815550551	0.808996514128903
+242.25	13.7196393458776	3.15080926701658	0.811356822270274
+246.09	13.7205391460364	3.1508103777473	0.809693957377443
+249.17	13.7214389465139	3.15081148769768	0.813205485246942
+250.82	13.7223387473099	3.15081259686771	0.820286307095802
+240.5	13.7232385484241	3.15081370525739	0.824582891142852
+250.28	13.7241383498562	3.15081481286672	0.826835806833163
+237.13	13.7250381516062	3.1508159196957	0.823538606382476
+239.34	13.7259379536737	3.15081702574433	0.823678193769649
+236.91	13.7268377560586	3.1508181310126	0.810640692839586
+242.12	13.7277375587606	3.15081923550052	0.8225889596907
+237.73	13.7286373617794	3.15082033920808	0.820919904779075
+231.42	13.7295371651149	3.15082144213528	0.824296243141828
+249	13.7304369687669	3.15082254428212	0.835204345982949
+244.15	13.731336772735	3.15082364564861	0.824689062922704
+237.13	13.7322365770192	3.15082474623473	0.817343702836956
+231.27	13.7331363816191	3.15082584604048	0.814082346588197
+237.05	13.7340361865345	3.15082694506587	0.810778061719861
+236.36	13.7349359917653	3.1508280433109	0.810634497498196
+240.3	13.7358357973111	3.15082914077556	0.812548288264287
+247.72	13.7367356031719	3.15083023745985	0.807298808530349
+228.22	13.7376354093472	3.15083133336376	0.831220635845863
+245.02	13.738535215837	3.15083242848731	0.83200469803641
+245.16	13.739435022641	3.15083352283048	0.823987061152784
+244.27	13.740334829759	3.15083461639328	0.821938813277921
+260.27	13.7412346371907	3.15083570917571	0.814755244755245
+247.49	13.7421344449359	3.15083680117775	0.825792173480417
+243.83	13.7430342529944	3.15083789239942	0.815471003263386
+255.01	13.743934061366	3.15083898284071	0.815702043368746
+248.95	13.7448338700505	3.15084007250162	0.823041060179671
+245.48	13.7457336790476	3.15084116138214	0.819954459446458
+249.08	13.746633488357	3.15084224948228	0.833701759085056
+250.63	13.7475332979787	3.15084333680204	0.814998695336356
+251.22	13.7484331079123	3.15084442334141	0.8183443688193
+255.73	13.7493329181577	3.15084550910039	0.825372578116344
+254.43	13.7502327287146	3.15084659407898	0.808040659412263
+248.05	13.7511325395827	3.15084767827718	0.808637664180954
+257.07	13.7520323507619	3.15084876169499	0.813849875437773
+231.98	13.752932162252	3.15084984433241	0.81382438776805
+244.16	13.7538319740526	3.15085092618943	0.812920895516687
+247.26	13.7547317861637	3.15085200726605	0.797418535103894
+244	13.7556315985849	3.15085308756228	0.811633172404116
+236.3	13.7565314113161	3.15085416707811	0.810242903131402
+237.21	13.7574312243569	3.15085524581354	0.813258857959365
+238.78	13.7583310377073	3.15085632376857	0.814008257912575
+241.53	13.7592308513669	3.1508574009432	0.808159669016243
+236.67	13.7601306653356	3.15085847733742	0.805212957742005
+234.07	13.7610304796131	3.15085955295124	0.812793429501446
+239.14	13.7619302941992	3.15086062778465	0.81830755502677
+242.65	13.7628301090937	3.15086170183765	0.812483750169774
+260.23	13.7637299242963	3.15086277511025	0.816930937769015
+294.59	13.7646297398068	3.15086384760243	0.795535226223163
+286.11	13.7655295556251	3.1508649193142	0.803175330273157
+257.89	13.7664293717508	3.15086599024556	0.778874991712395
+259.62	13.7673291881838	3.15086706039651	0.819252562757285
+264.51	13.7682290049238	3.15086812976704	0.824424390601541
+275.09	13.7691288219706	3.15086919835715	0.811182448287642
+287	13.7700286393239	3.15087026616684	0.807938579939496
+276.55	13.7709284569837	3.15087133319611	0.822684716025108
+281.92	13.7718282749496	3.15087239944497	0.813273488704013
+279.16	13.7727280932213	3.1508734649134	0.802986369475634
+275.22	13.7736279117988	3.1508745296014	0.805456200273381
+268.37	13.7745277306817	3.15087559350898	0.801009815350021
+265.1	13.7754275498699	3.15087665663614	0.812710203448264
+266.6	13.7763273693631	3.15087771898287	0.810334909247198
+283.96	13.7772271891611	3.15087878054917	0.78267983720051
+266.31	13.7781270092636	3.15087984133503	0.795839846098353
+268.67	13.7790268296705	3.15088090134047	0.812979066448168
+251.73	13.7799266503815	3.15088196056548	0.811350741063017
+243.45	13.7808264713964	3.15088301901005	0.816855695067913
+241.67	13.7817262927149	3.15088407667418	0.81163922278639
+242.42	13.7826261143369	3.15088513355788	0.79227452858947
+250.81	13.7835259362621	3.15088618966114	0.795156157127702
+257.44	13.7844257584903	3.15088724498396	0.809199690293517
+265.22	13.7853255810213	3.15088829952634	0.829834889973054
+265.89	13.7862254038549	3.15088935328828	0.808532346481747
+268.52	13.7871252269907	3.15089040626977	0.804884262371648
+255.64	13.7880250504287	3.15089145847082	0.803565041570253
+256.45	13.7889248741686	3.15089250989143	0.807901942313402
+246.83	13.78982469821	3.15089356053158	0.808221709006928
+244.29	13.790724522553	3.15089461039129	0.803254599740507
+239.63	13.7916243471971	3.15089565947055	0.805930299573047
+222.88	13.7925241721422	3.15089670776936	0.819216201957527
+234.24	13.7934239973881	3.15089775528771	0.814383163561837
+238.38	13.7943238229345	3.15089880202562	0.810093068343353
+241.93	13.7952236487812	3.15089984798306	0.807167327873543
+243.08	13.796123474928	3.15090089316005	0.813048310981027
+250.39	13.7970233013747	3.15090193755659	0.793874443895205
+251.15	13.7979231281209	3.15090298117266	0.789622495457397
+245.3	13.7988229551667	3.15090402400828	0.800211551002879
+248.36	13.7997227825115	3.15090506606343	0.81483176069966
+237.82	13.8006226101554	3.15090610733812	0.805106302798103
+240.56	13.7115422710276	3.14989476167176	0.816032139971907
+241.41	13.7124420675321	3.14989587910405	0.811794548511047
+263.65	13.7133418643573	3.14989699575623	0.813058520230287
+254.92	13.7142416615029	3.1498981116283	0.811196403076096
+245.67	13.7151414589688	3.14989922672026	0.821643266461267
+251.12	13.7160412567547	3.1499003410321	0.829597265039589
+244.57	13.7169410548604	3.14990145456383	0.812486988915469
+243.93	13.7178408532857	3.14990256731544	0.818526676891652
+239.01	13.7187406520303	3.14990367928694	0.816762122109821
+249.72	13.719640451094	3.14990479047831	0.805992830707259
+242.37	13.7205402504767	3.14990590088957	0.818002170847893
+241.48	13.721440050178	3.14990701052071	0.822521178689032
+245.47	13.7223398501977	3.14990811937172	0.818593866761647
+248.2	13.7232396505357	3.14990922744261	0.81068830804429
+249.17	13.7241394511917	3.14991033473337	0.819682176840772
+238.21	13.7250392521655	3.14991144124401	0.812932720755898
+235.98	13.7259390534568	3.14991254697451	0.827656757732579
+235.02	13.7268388550655	3.14991365192489	0.819127955866105
+236.76	13.7277386569912	3.14991475609514	0.819898207470884
+231.52	13.7286384592339	3.14991585948525	0.819072403999831
+236.4	13.7295382617931	3.14991696209524	0.820284530749189
+241.41	13.7304380646689	3.14991806392508	0.826892548776667
+250.18	13.7313378678608	3.14991916497479	0.832977273386372
+243.53	13.7322376713687	3.14992026524436	0.816391604726163
+234.73	13.7331374751924	3.1499213647338	0.817494795909132
+248.56	13.7340372793317	3.14992246344309	0.806846801798655
+235.07	13.7349370837862	3.14992356137224	0.815705697701966
+245.46	13.7358368885559	3.14992465852125	0.822983483352268
+237.31	13.7367366936404	3.14992575489011	0.807434798653422
+234.2	13.7376364990395	3.14992685047883	0.820596600402486
+243.92	13.7385363047531	3.14992794528739	0.809621643995409
+232.76	13.7394361107808	3.14992903931582	0.812708084678686
+249.51	13.7403359171225	3.14993013256409	0.822265825998065
+253.95	13.741235723778	3.14993122503221	0.807232599106116
+251.79	13.742135530747	3.14993231672017	0.801579233120898
+246.63	13.7430353380293	3.14993340762799	0.788794193327681
+251.74	13.7439351456247	3.14993449775565	0.795544346364018
+256.8	13.7448349535329	3.14993558710315	0.794335919639277
+262.91	13.7457347617538	3.14993667567049	0.779597489530551
+258.85	13.746634570287	3.14993776345767	0.794775526218768
+250.73	13.7475343791324	3.1499388504647	0.80815676862328
+254.34	13.7484341882898	3.14993993669156	0.812961698429449
+262.54	13.749333997759	3.14994102213825	0.822826705620314
+266.61	13.7502338075396	3.14994210680479	0.806330015700542
+254.23	13.7511336176315	3.14994319069115	0.819765866536978
+257.84	13.7520334280345	3.14994427379735	0.807567207319458
+250.51	13.7529332387483	3.14994535612338	0.806257399998452
+253.71	13.7538330497727	3.14994643766924	0.793230541427928
+235.94	13.7547328611075	3.14994751843493	0.814366479475107
+236.75	13.7556326727524	3.14994859842045	0.818847623641153
+238.02	13.7565324847073	3.14994967762579	0.805827006068646
+248.77	13.757432296972	3.14995075605096	0.80416658681028
+239.66	13.7583321095461	3.14995183369595	0.822461983963075
+234.25	13.7592319224294	3.14995291056076	0.817936803658348
+224.91	13.7601317356219	3.14995398664539	0.80368971141364
+234.01	13.7610315491231	3.14995506194985	0.816958163186686
+247.71	13.7619313629329	3.14995613647412	0.810893881773326
+253.41	13.7628311770511	3.1499572102182	0.816659819967857
+261.97	13.7637309914775	3.14995828318211	0.790702533298511
+293.67	13.7646308062118	3.14995935536582	0.785862482682734
+267.18	13.7655306212538	3.14996042676935	0.782195216121692
+253.53	13.7664304366032	3.14996149739269	0.799013816262714
+261.4	13.7673302522599	3.14996256723584	0.819142777714183
+266.86	13.7682300682236	3.1499636362988	0.812730523829318
+275.39	13.7691298844942	3.14996470458156	0.817075969703925
+289.33	13.7700297010713	3.14996577208414	0.80475025226265
+257.41	13.7709295179548	3.14996683880651	0.811708271399082
+268.69	13.7718293351444	3.14996790474869	0.81402183316713
+263.29	13.7727291526399	3.14996896991068	0.808513128364703
+262.31	13.7736289704411	3.14997003429246	0.800083266296908
+272.76	13.7745287885477	3.14997109789404	0.796820287967487
+300.05	13.7754286069596	3.14997216071542	0.779003805584549
+314.87	13.7763284256765	3.1499732227566	0.744803461407082
+311.62	13.7772282446982	3.14997428401757	0.684029738534792
+282.08	13.7781280640245	3.14997534449834	0.806613884048507
+269.08	13.779027883655	3.1499764041989	0.824432288022391
+260.23	13.7799277035898	3.14997746311925	0.817547381432743
+245.56	13.7808275238284	3.1499785212594	0.829142724729572
+232.42	13.7817273443706	3.14997957861933	0.826253841039372
+244.7	13.7826271652163	3.14998063519905	0.814638056571984
+247.87	13.7835269863653	3.14998169099855	0.81179046893322
+255.86	13.7844268078172	3.14998274601784	0.797418539442765
+262.17	13.7853266295719	3.14998380025692	0.811315253272426
+257.48	13.7862264516291	3.14998485371578	0.81582629606452
+266.61	13.7871262739887	3.14998590639441	0.805303310604859
+244.56	13.7880260966504	3.14998695829283	0.823672033128545
+242.31	13.7889259196139	3.14998800941103	0.808472166414243
+244.62	13.7898257428791	3.149989059749	0.816531756262282
+242.6	13.7907255664457	3.14999010930675	0.806105176695467
+243.31	13.7916253903136	3.14999115808428	0.811456751232866
+228.43	13.7925252144824	3.14999220608158	0.823669244425721
+230.47	13.7934250389519	3.14999325329865	0.822452558920278
+237.03	13.794324863722	3.14999429973549	0.813870593986612
+252.33	13.7952246887924	3.1499953453921	0.813514810142327
+248.2	13.7961245141629	3.14999639026848	0.811534060569075
+247.26	13.7970243398333	3.14999743436463	0.808828944945682
+237.86	13.7979241658033	3.14999847768054	0.809759793423891
+242.67	13.7988239920727	3.14999952021622	0.813045165617311
+248.55	13.7997238186412	3.15000056197165	0.808786690524232
+237.42	13.8006236455088	3.15000160294686	0.811541321929906
+232.6	13.7115433829089	3.14899028800267	0.810845459888682
+240.91	13.7124431786374	3.14899140511347	0.811048718132692
+252.39	13.7133429746866	3.14899252144439	0.811098407625765
+248.5	13.7142427710563	3.14899363699542	0.821738398896255
+257.1	13.7151425677462	3.14899475176657	0.813491969868046
+248.28	13.7160423647562	3.14899586575782	0.804174924712363
+241.51	13.7169421620859	3.14899697896919	0.816890736290619
+240.68	13.7178419597352	3.14899809140066	0.823276473760395
+241.02	13.7187417577039	3.14899920305224	0.808743461086794
+239.85	13.7196415559916	3.14900031392393	0.815701903031048
+239.36	13.7205413545983	3.14900142401572	0.822320856278387
+241.29	13.7214411535236	3.14900253332762	0.828889987554768
+244.43	13.7223409527674	3.14900364185961	0.815415835893652
+245.89	13.7232407523294	3.14900474961171	0.806675693618745
+239.18	13.7241405522094	3.1490058565839	0.812753795330537
+241.76	13.7250403524072	3.1490069627762	0.816809659993645
+233.86	13.7259401529225	3.14900806818859	0.819274799679203
+237.39	13.7268399537552	3.14900917282107	0.819226742557176
+234.66	13.727739754905	3.14901027667365	0.807585817373204
+231.95	13.7286395563716	3.14901137974632	0.816312585174518
+235.64	13.7295393581549	3.14901248203908	0.816572398843374
+239.86	13.7304391602547	3.14901358355193	0.806261763796659
+245.62	13.7313389626706	3.14901468428486	0.817241528541135
+245.66	13.7322387654026	3.14901578423789	0.839565602495475
+247.11	13.7331385684503	3.149016883411	0.817988507382016
+242.29	13.7340383718135	3.14901798180419	0.819560337763209
+232.65	13.7349381754921	3.14901907941747	0.810307548572845
+239.73	13.7358379794857	3.14902017625083	0.811978640929712
+230.32	13.7367377837942	3.14902127230426	0.798822325906335
+230.4	13.7376375884173	3.14902236757778	0.805900413829929
+236.49	13.7385373933549	3.14902346207137	0.806746478928542
+240.99	13.7394371986067	3.14902455578504	0.814627144500665
+244.61	13.7403370041724	3.14902564871878	0.821440214910736
+257.97	13.7412368100519	3.1490267408726	0.75972806023612
+242.95	13.7421366162449	3.14902783224649	0.768838631228879
+243.63	13.7430364227511	3.14902892284045	0.805808936379695
+239.94	13.7439362295705	3.14903001265448	0.817495692089633
+249.74	13.7448360367027	3.14903110168857	0.808167276341503
+251.35	13.7457358441476	3.14903218994273	0.797884991720608
+247.51	13.7466356519048	3.14903327741696	0.772972929403657
+264.47	13.7475354599742	3.14903436411125	0.751526492379301
+285.36	13.7484352683556	3.1490354500256	0.703267445426413
+263.54	13.7493350770487	3.14903653516002	0.797873272866874
+258.47	13.7502348860533	3.14903761951449	0.805502832657522
+251.15	13.7511346953692	3.14903870308903	0.810813288690531
+245.8	13.7520345049961	3.14903978588362	0.805853787197071
+255.5	13.7529343149339	3.14904086789826	0.803561124392053
+256.06	13.7538341251823	3.14904194913296	0.804395043273304
+240.71	13.7547339357411	3.14904302958771	0.818542666862338
+235.67	13.75563374661	3.14904410926252	0.821152751808796
+243.78	13.7565335577889	3.14904518815737	0.805894211385236
+243.49	13.7574333692775	3.14904626627228	0.816834311564952
+248.06	13.7583331810756	3.14904734360723	0.812220211979478
+254.89	13.7592329931829	3.14904842016223	0.805259869270286
+242.53	13.7601328055993	3.14904949593727	0.812858311285869
+243.24	13.7610326183245	3.14905057093236	0.806336467349462
+246.22	13.7619324313583	3.14905164514749	0.804327411706967
+250.78	13.7628322447005	3.14905271858266	0.815832915184967
+253.72	13.7637320583508	3.14905379123787	0.809199758172729
+263.1	13.764631872309	3.14905486311311	0.793234617944219
+260.94	13.765531686575	3.1490559342084	0.81343755274122
+266.28	13.7664315011484	3.14905700452372	0.825201405056826
+263.96	13.7673313160291	3.14905807405908	0.82307616287781
+267.37	13.7682311312167	3.14905914281447	0.817574184623639
+278.07	13.7691309467112	3.14906021078989	0.801833955812132
+276.69	13.7700307625123	3.14906127798534	0.805170736227587
+266.93	13.7709305786197	3.14906234440082	0.795370390577828
+263.31	13.7718303950333	3.14906341003633	0.806730587161964
+262.63	13.7727302117527	3.14906447489186	0.806219938292339
+270.38	13.7736300287779	3.14906553896742	0.784129571010193
+283.62	13.7745298461085	3.14906660226301	0.772468276404806
+328.38	13.7754296637443	3.14906766477862	0.71751039255372
+358.36	13.7763294816851	3.14906872651424	0.607105288462939
+288.63	13.7772292999308	3.14906978746989	0.749750322022833
+290.91	13.778129118481	3.14907084764556	0.793821172225345
+292.47	13.7790289373355	3.14907190704125	0.800897641719208
+259.44	13.7799287564941	3.14907296565695	0.819309354834382
+251.71	13.7808285759567	3.14907402349266	0.8138988898353
+241.36	13.7817283957229	3.14907508054839	0.799652459932043
+242.13	13.7826282157925	3.14907613682413	0.81496029531858
+246.35	13.7835280361654	3.14907719231988	0.814940577249576
+254.51	13.7844278568413	3.14907824703565	0.812042328661005
+257.94	13.7853276778199	3.14907930097142	0.810603947592432
+260.85	13.7862274991011	3.14908035412719	0.807252075780611
+262.22	13.7871273206846	3.14908140650297	0.798070963157815
+254.5	13.7880271425702	3.14908245809876	0.810420148139365
+252.67	13.7889269647576	3.14908350891455	0.812891265806955
+246.09	13.7898267872467	3.14908455895034	0.802604226156482
+238.99	13.7907266100373	3.14908560820614	0.820636652380651
+238.06	13.791626433129	3.14908665668193	0.815125102465951
+234.43	13.7925262565218	3.14908770437772	0.813746069151717
+231.33	13.7934260802153	3.1490887512935	0.805236401631603
+236.63	13.7943259042093	3.14908979742929	0.799037076663512
+246.35	13.7952257285036	3.14909084278506	0.803301696044149
+246.9	13.796125553098	3.14909188736083	0.804268540838368
+243.57	13.7970253779923	3.14909293115659	0.813918749499853
+245.97	13.7979252031862	3.14909397417234	0.810743080468686
+246.17	13.7988250286795	3.14909501640808	0.810794241692334
+238.92	13.799724854472	3.1490960578638	0.80740507885075
+229.22	13.8006246805634	3.14909709853952	0.805587633801279
+231.25	13.7115444944693	3.14808581431745	0.817128881577015
+241.94	13.712444289422	3.14808693110677	0.82159050599346
+258.06	13.7133440846955	3.14808804711643	0.809854258635201
+258	13.7142438802895	3.14808916234642	0.813197914842603
+266.25	13.7151436762036	3.14809027679676	0.809263175622063
+253.58	13.7160434724378	3.14809139046743	0.809973833119597
+247.85	13.7169432689918	3.14809250335843	0.810188490646866
+241.84	13.7178430658654	3.14809361546976	0.81584137634035
+235.94	13.7187428630583	3.14809472680143	0.815129203911768
+234.11	13.7196426605703	3.14809583735343	0.831697180570513
+237.8	13.7205424584012	3.14809694712576	0.833355340450096
+238.4	13.7214422565508	3.14809805611841	0.820101281335039
+236.69	13.7223420550188	3.14809916433139	0.819759874819029
+243.41	13.7232418538051	3.1481002717647	0.813881902199345
+236.33	13.7241416529093	3.14810137841832	0.814452554190436
+236.94	13.7250414523314	3.14810248429227	0.819886963542637
+234.29	13.7259412520709	3.14810358938654	0.819515196976262
+241.45	13.7268410521279	3.14810469370114	0.816289083887006
+234.67	13.7277408525019	3.14810579723604	0.821107649155275
+238.7	13.7286406531928	3.14810689999127	0.807202510938393
+244.3	13.7295404542003	3.14810800196681	0.814958760401219
+244.06	13.7304402555243	3.14810910316266	0.818834251936491
+248.57	13.7313400571645	3.14811020357883	0.81497887684938
+252.2	13.7322398591206	3.1481113032153	0.822256909686286
+255.63	13.7331396613926	3.14811240207209	0.798548840761712
+243.79	13.73403946398	3.14811350014919	0.807789249366205
+257.91	13.7349392668828	3.14811459744659	0.787605140685709
+254.54	13.7358390701007	3.1481156939643	0.792228015601534
+266.37	13.7367388736334	3.14811678970231	0.813320695102686
+248.04	13.7376386774808	3.14811788466063	0.82042214392637
+246.79	13.7385384816426	3.14811897883924	0.820274847480346
+244.85	13.7394382861185	3.14812007223816	0.799587114708528
+239.82	13.7403380909085	3.14812116485738	0.84514879951772
+238.05	13.7412378960122	3.14812225669689	0.860607005277339
+225.58	13.7421377014294	3.1481233477567	0.815175709761232
+234.9	13.7430375071599	3.14812443803681	0.813958148561844
+234.21	13.7439373132035	3.1481255275372	0.811097356675089
+238.87	13.7448371195599	3.1481266162579	0.80851121328994
+239.03	13.745736926229	3.14812770419888	0.817302006259645
+241.69	13.7466367332104	3.14812879136015	0.812609053497942
+243.08	13.747536540504	3.14812987774171	0.814784745143781
+252.59	13.7484363481096	3.14813096334355	0.793630628892586
+268.72	13.7493361560269	3.14813204816569	0.745151517385247
+261.43	13.7502359642557	3.1481331322081	0.757519996438482
+251.88	13.7511357727958	3.1481342154708	0.783495557814624
+255.56	13.752035581647	3.14813529795378	0.79137338574703
+250.5	13.752935390809	3.14813637965704	0.795554739864723
+244.9	13.7538352002816	3.14813746058058	0.810798661405524
+238.23	13.7547350100645	3.1481385407244	0.819050043199409
+239.37	13.7556348201577	3.14813962008849	0.818274219318419
+242.99	13.7565346305608	3.14814069867286	0.8105841638341
+244.15	13.7574344412735	3.1481417764775	0.816121391078496
+242.27	13.7583342522958	3.14814285350241	0.80182278360683
+245.14	13.7592340636274	3.1481439297476	0.808056517586957
+249.12	13.7601338752679	3.14814500521305	0.805136088938703
+239.27	13.7610336872173	3.14814607989877	0.817382134314154
+239.57	13.7619334994753	3.14814715380476	0.80778267827173
+243.75	13.7628333120417	3.14814822693102	0.808462511068234
+242.22	13.7637331249162	3.14814929927754	0.804860741529182
+253.71	13.7646329380986	3.14815037084432	0.810080161211457
+255.47	13.7655327515887	3.14815144163136	0.818168761220826
+271.04	13.7664325653863	3.14815251163867	0.831659926898303
+254.26	13.7673323794912	3.14815358086623	0.825425201155112
+266.43	13.768232193903	3.14815464931405	0.814647666151053
+268.4	13.7691320086217	3.14815571698213	0.802915365664293
+286.51	13.7700318236469	3.14815678387046	0.755279460114207
+296.75	13.7709316389785	3.14815784997904	0.731597802189626
+299.79	13.7718314546163	3.14815891530788	0.7524234481242
+297.32	13.7727312705599	3.14815997985697	0.760380260951772
+351.8	13.7736310868092	3.14816104362631	0.665173040698074
+455.3	13.774530903364	3.14816210661589	0.468373912367067
+336.3	13.775430720224	3.14816316882573	0.673544544073476
+342.87	13.776330537389	3.14816423025581	0.632147106106616
+279.73	13.7772303548588	3.14816529090613	0.79304786365947
+283.53	13.7781301726331	3.1481663507767	0.795510014460606
+290.76	13.7790299907118	3.14816740986751	0.795165848530794
+284.69	13.7799298090947	3.14816846817856	0.805305319528514
+250.61	13.7808296277814	3.14816952570985	0.821837669775814
+247.14	13.7817294467717	3.14817058246137	0.80320602110156
+252.41	13.7826292660655	3.14817163843314	0.81478229694828
+264.44	13.7835290856625	3.14817269362513	0.80861992448108
+255.56	13.7844289055626	3.14817374803737	0.80684811237928
+259.71	13.7853287257653	3.14817480166983	0.79082682103232
+253.55	13.7862285462707	3.14817585452253	0.789296987317982
+254.42	13.7871283670783	3.14817690659546	0.823496821010385
+266.19	13.7880281881881	3.14817795788861	0.81964404807051
+260.81	13.7889280095997	3.148179008402	0.806206737757055
+246.61	13.789827831313	3.14818005813561	0.81045218873641
+241.15	13.7907276533276	3.14818110708944	0.805723067419497
+237.21	13.7916274756435	3.1481821552635	0.821872353725772
+228.87	13.7925272982604	3.14818320265778	0.804506516449452
+227.22	13.793427121178	3.14818424927229	0.807987532949817
+248.7	13.7943269443962	3.14818529510701	0.806815180065158
+244.8	13.7952267679147	3.14818634016195	0.806593560103374
+250.33	13.7961265917332	3.14818738443711	0.804583864052937
+250.46	13.7970264158516	3.14818842793248	0.80862432269717
+253.37	13.7979262402696	3.14818947064807	0.810326309051523
+235.43	13.7988260649871	3.14819051258387	0.799680073515022
+229.94	13.7997258900037	3.14819155373988	0.801200800533689
+230.36	13.8006257153193	3.14819259411611	0.811604192911982
+239.8	13.7115456057087	3.14718134061612	0.805416844567376
+250.38	13.712445399886	3.14718245708395	0.804023978552436
+258.28	13.713345194384	3.14718357277235	0.815924008369753
+271.71	13.7142449892024	3.14718468768131	0.80220229310932
+269.16	13.715144784341	3.14718580181083	0.806952441336161
+255.42	13.7160445797997	3.14718691516092	0.807454316929324
+247.3	13.7169443755782	3.14718802773156	0.814751574715812
+245.3	13.7178441716762	3.14718913952276	0.817757350766651
+238.33	13.7187439680936	3.14719025053451	0.822781122893021
+231.53	13.7196437648301	3.14719136076682	0.809079489013007
+230.94	13.7205435618855	3.14719247021968	0.8065053219956
+236.9	13.7214433592595	3.1471935788931	0.816603828306265
+239.23	13.722343156952	3.14719468678706	0.82030537623471
+242.88	13.7232429549628	3.14719579390157	0.810078870778909
+247.23	13.7241427532915	3.14719690023664	0.809517557296454
+236.81	13.725042551938	3.14719800579224	0.813140822109082
+238.83	13.725942350902	3.1471991105684	0.816701247451862
+239.54	13.7268421501834	3.14720021456509	0.809484814905246
+240.33	13.7277419497819	3.14720131778233	0.816399853005712
+250.31	13.7286417496972	3.14720242022011	0.802082638502872
+252.78	13.7295415499292	3.14720352187843	0.802152558680719
+254.58	13.7304413504777	3.14720462275729	0.790113828941646
+267.07	13.7313411513423	3.14720572285669	0.778795373536044
+276.49	13.7322409525229	3.14720682217662	0.753112934119239
+285.34	13.7331407540193	3.14720792071708	0.727825886720304
+258.3	13.7340405558313	3.14720901847808	0.747533539426391
+260.44	13.7349403579585	3.14721011545961	0.766401315597986
+257.16	13.7358401604008	3.14721121166167	0.77229001226677
+274.63	13.736739963158	3.14721230708426	0.749960680265596
+247.46	13.7376397662298	3.14721340172737	0.769910857009083
+234.64	13.738539569616	3.14721449559101	0.821656050955414
+230.48	13.7394393733165	3.14721558867518	0.859108315019059
+237.07	13.7403391773309	3.14721668097987	0.865662353616254
+233.21	13.741238981659	3.14721777250508	0.859512438851512
+227.54	13.7421387863006	3.14721886325081	0.831275720164609
+231.09	13.7430385912556	3.14721995321707	0.820747543945496
+243.2	13.7439383965236	3.14722104240384	0.817498483346404
+240.34	13.7448382021045	3.14722213081112	0.812873367277512
+236.13	13.745738007998	3.14722321843892	0.821998864612294
+231.83	13.7466378142038	3.14722430528724	0.817150271113478
+236.04	13.7475376207219	3.14722539135607	0.816482041205103
+234.23	13.7484374275519	3.14722647664541	0.820386852308777
+242.12	13.7493372346937	3.14722756115526	0.818686348756274
+248.77	13.7502370421469	3.14722864488562	0.804701214025461
+257.17	13.7511368499114	3.14722972783648	0.773807420016806
+261.43	13.752036657987	3.14723081000785	0.752302919417708
+258.39	13.7529364663734	3.14723189139973	0.77493313374352
+245.26	13.7538362750704	3.14723297201211	0.791656452333915
+250.83	13.7547360840778	3.14723405184499	0.782993854738416
+256.31	13.7556358933954	3.14723513089837	0.767100440781774
+259.14	13.7565357030229	3.14723620917226	0.775749994577046
+254.19	13.7574355129601	3.14723728666664	0.77717732276279
+248.45	13.7583353232068	3.14723836338151	0.79397177744706
+247.19	13.7592351337627	3.14723943931688	0.808474651382652
+242.92	13.7601349446277	3.14724051447275	0.809851274944978
+240.92	13.7610347558015	3.14724158884911	0.810889107905504
+242.66	13.7619345672839	3.14724266244596	0.801851128641725
+249.45	13.7628343790747	3.1472437352633	0.799455330040343
+240.41	13.7637341911736	3.14724480730112	0.799963989196759
+246.24	13.7646340035805	3.14724587855944	0.811470625180106
+251.93	13.765533816295	3.14724694903824	0.802550455814934
+268.55	13.766433629317	3.14724801873753	0.814803130780138
+277.38	13.7673334426462	3.1472490876573	0.820690555933911
+282.36	13.7682332562825	3.14725015579755	0.799313433725168
+335.38	13.7691330702256	3.14725122315828	0.661258701520102
+343.35	13.7700328844752	3.14725228973949	0.55108428347865
+305.7	13.7709326990312	3.14725335554118	0.686378653292101
+323.65	13.7718325138934	3.14725442056335	0.65108143030164
+365.11	13.7727323290614	3.14725548480599	0.554456773797888
+435.16	13.7736321445351	3.14725654826911	0.426184502696312
+360.72	13.7745319603143	3.1472576109527	0.637867791506495
+294.42	13.7754317763987	3.14725867285676	0.76628408327498
+285.75	13.7763315927881	3.14725973398129	0.790802952898066
+278.55	13.7772314094822	3.14726079432629	0.797993908898305
+292.38	13.778131226481	3.14726185389176	0.793464942137509
+274.27	13.7790310437841	3.14726291267769	0.806539528195296
+284.01	13.7799308613913	3.14726397068409	0.79412117896647
+279.24	13.7808306793024	3.14726502791095	0.804742319476516
+272.11	13.7817304975171	3.14726608435828	0.801957350365716
+270.07	13.7826303160353	3.14726714002607	0.799498159306947
+266.16	13.7835301348567	3.14726819491431	0.812840661181893
+264.13	13.7844299539811	3.14726924902302	0.807673165251767
+264.54	13.7853297734082	3.14727030235218	0.802218517156556
+259.85	13.7862295931379	3.1472713549018	0.808407335840001
+280.73	13.78712941317	3.14727240667187	0.823710794646579
+273.68	13.7880292335041	3.1472734576624	0.812869948936967
+263.81	13.7889290541401	3.14727450787337	0.815422342408922
+257.72	13.7898288750777	3.1472755573048	0.809043845441925
+244.14	13.7907286963168	3.14727660595668	0.821244558779713
+235.99	13.7916285178571	3.14727765382901	0.812854251012146
+227.59	13.7925283396983	3.14727870092178	0.818173739886985
+238.63	13.7934281618403	3.147279747235	0.817121377562861
+242.25	13.7943279842828	3.14728079276866	0.810199775703777
+253.88	13.7952278070257	3.14728183752277	0.799629981735772
+256.8	13.7961276300686	3.14728288149732	0.805792304509723
+251.29	13.7970274534113	3.1472839246923	0.814322387262394
+238.97	13.7979272770537	3.14728496710773	0.795915847696182
+237.43	13.7988271009955	3.1472860087436	0.79852612624629
+243.59	13.7997269252365	3.1472870495999	0.796905168312953
+253.2	13.8006267497765	3.14728808967664	0.79611382335207
+253.72	13.7115467166273	3.14627686689868	0.790317027686128
+256.61	13.7124465100292	3.14627798304503	0.809247954888678
+270.86	13.7133463037519	3.14627909841216	0.806108872560638
+282.54	13.714246097795	3.14628021300009	0.785281240017939
+279.52	13.7151458921584	3.1462813268088	0.793704555629313
+285.69	13.7160456868418	3.1462824398383	0.801027335197074
+253.49	13.716945481845	3.14628355208858	0.799852853394783
+239.75	13.7178452771677	3.14628466355964	0.811262923870578
+244.09	13.7187450728098	3.14628577425148	0.815841563564889
+244.88	13.719644868771	3.1462868841641	0.799477371927406
+254.44	13.7205446650511	3.1462879932975	0.771418203975723
+278.84	13.7214444616498	3.14628910165167	0.756294381402629
+264.06	13.722344258567	3.14629020922662	0.790781464341656
+249.48	13.7232440558024	3.14629131602235	0.829496136915062
+248.76	13.7241438533559	3.14629242203884	0.822192633523626
+247.78	13.725043651227	3.14629352727611	0.807502201516916
+255.46	13.7259434494158	3.14629463173415	0.8004887560686
+251.66	13.7268432479218	3.14629573541295	0.802919599631709
+256.88	13.727743046745	3.14629683831252	0.807926562012392
+256.42	13.728642845885	3.14629794043286	0.79950567965455
+259.92	13.7295426453417	3.14629904177396	0.766091598187234
+282.85	13.7304424451149	3.14630014233582	0.678627682614688
+273.71	13.7313422452042	3.14630124211845	0.754039402073012
+272.39	13.7322420456095	3.14630234112183	0.781843152445681
+269.13	13.7331418463306	3.14630343934597	0.798496906310849
+259.89	13.7340416473672	3.14630453679087	0.798278378917668
+250.99	13.7349414487191	3.14630563345653	0.81270636854193
+251.31	13.7358412503861	3.14630672934294	0.806444950861701
+244.14	13.7367410523679	3.14630782445011	0.815115619616278
+238.52	13.7376408546644	3.14630891877802	0.819200387200705
+225.29	13.7385406572753	3.14631001232669	0.847405134736172
+222.77	13.7394404602004	3.14631110509611	0.851823890518584
+221.74	13.7403402634395	3.14631219708627	0.827896545698142
+229.07	13.7412400669923	3.14631328829718	0.811456312192689
+229.15	13.7421398708586	3.14631437872883	0.816349879488666
+236.5	13.7430396750382	3.14631546838123	0.822703463083273
+246.41	13.7439394795309	3.14631655725438	0.823629935587427
+247.18	13.7448392843364	3.14631764534826	0.818414623272403
+240.31	13.7457390894546	3.14631873266288	0.813172094155968
+230.59	13.7466388948851	3.14631981919824	0.815394868377208
+229.75	13.7475387006278	3.14632090495434	0.80801010984738
+233.72	13.7484385066825	3.14632198993117	0.821359675131171
+237.24	13.7493383130489	3.14632307412874	0.818385223802119
+247.13	13.7502381197268	3.14632415754704	0.818065109710826
+253.32	13.751137926716	3.14632524018608	0.791566399464533
+266.11	13.7520377340162	3.14632632204584	0.76961052770438
+254.6	13.7529375416273	3.14632740312633	0.801257567680073
+247.49	13.7538373495489	3.14632848342755	0.800825712279033
+240.53	13.754737157781	3.1463295629495	0.805398173505856
+245.91	13.7556369663232	3.14633064169217	0.805928451269503
+254.17	13.7565367751753	3.14633171965557	0.803387929826075
+251.93	13.7574365843372	3.14633279683969	0.784876594585597
+275.09	13.7583363938085	3.14633387324452	0.709937389174592
+279.1	13.7592362035891	3.14633494887008	0.746854942233633
+276.94	13.7601360136787	3.14633602371636	0.728113155549511
+275.72	13.7610358240772	3.14633709778335	0.737206759092673
+282.11	13.7619356347842	3.14633817107106	0.680356416102113
+276.07	13.7628354457996	3.14633924357949	0.692705969242132
+272.11	13.7637352571232	3.14634031530863	0.717244155534351
+253.44	13.7646350687546	3.14634138625848	0.80998775268684
+260.84	13.7655348806938	3.14634245642904	0.789539831984654
+274.77	13.7664346929404	3.14634352582031	0.765496629137161
+323.42	13.7673345054943	3.14634459443228	0.711465809196611
+300.03	13.7682343183552	3.14634566226497	0.732800609075617
+278.5	13.7691341315229	3.14634672931836	0.767113339030742
+277.61	13.7700339449972	3.14634779559245	0.764102669912929
+276.01	13.7709337587778	3.14634886108724	0.780650499742326
+288.41	13.7718335728645	3.14634992580274	0.770640036581948
+287.89	13.7727333872572	3.14635098973894	0.787381198210362
+289.9	13.7736332019555	3.14635205289583	0.731073632722148
+318.25	13.7745330169593	3.14635311527343	0.671654088368873
+289.23	13.7754328322683	3.14635417687171	0.774502437635305
+289.68	13.7763326478823	3.1463552376907	0.780026856828502
+278.33	13.7772324638011	3.14635629773037	0.805444526368893
+287	13.7781322800245	3.14635735699074	0.815809242109464
+281.58	13.7790320965522	3.1463584154718	0.808806824509433
+283.26	13.779931913384	3.14635947317355	0.798876655748918
+294.6	13.7808317305197	3.14636053009599	0.795482691887406
+293.04	13.781731547959	3.14636158623911	0.801677321127685
+298.36	13.7826313657018	3.14636264160293	0.802602723293789
+285.53	13.7835311837478	3.14636369618742	0.798739784141244
+290.66	13.7844310020968	3.1463647499926	0.794902462424048
+295.01	13.7853308207486	3.14636580301846	0.79531460161157
+295.54	13.7862306397029	3.14636685526499	0.811970672819003
+295.62	13.7871304589595	3.14636790673221	0.806649062063668
+269	13.7880302785183	3.14636895742011	0.817241222632593
+254.16	13.7889300983789	3.14637000732868	0.807729545967431
+258.34	13.7898299185411	3.14637105645793	0.814043862079608
+250.79	13.7907297390048	3.14637210480785	0.801333975963557
+260.5	13.7916295597696	3.14637315237845	0.808635481337699
+265.83	13.7925293808355	3.14637419916971	0.803970251076441
+261.16	13.793429202202	3.14637524518165	0.804125147286355
+257.44	13.7943290238691	3.14637629041425	0.810925860234125
+256.35	13.7952288458366	3.14637733486752	0.804560687184623
+262.89	13.7961286681041	3.14637837854146	0.798795604828179
+255.75	13.7970284906714	3.14637942143607	0.800874210781933
+241.01	13.7979283135384	3.14638046355133	0.804337891233221
+237	13.7988281367048	3.14638150488726	0.812712477117849
+238.84	13.7997279601703	3.14638254544385	0.800401195720579
+246.68	13.8006277839349	3.1463835852211	0.797840353698384
+290.63	13.7115478272249	3.14537239316513	0.688966415929509
+268.84	13.7124476198518	3.14537350898999	0.734330378863199
+289.52	13.7133474127994	3.14537462403587	0.730492851768247
+300.21	13.7142472060675	3.14537573830276	0.695741848566984
+279.33	13.7151469996558	3.14537685179067	0.74079355363785
+271.2	13.7160467935641	3.14537796449958	0.770181984896145
+269.56	13.7169465877922	3.14537907642949	0.762544068701278
+263.52	13.7178463823399	3.14538018758042	0.754521090289371
+248.32	13.7187461772069	3.14538129795235	0.758145609907705
+248.64	13.719645972393	3.14538240754528	0.776765528569141
+268.27	13.720545767898	3.14538351635922	0.753726715522528
+266.23	13.7214455637217	3.14538462439415	0.738429233233753
+254.99	13.7223453598638	3.14538573165009	0.791446171586869
+284.36	13.7232451563241	3.14538683812702	0.732590822620247
+285.71	13.7241449531024	3.14538794382495	0.731821165244567
+295.52	13.7250447501986	3.14538904874388	0.690868999229563
+279.71	13.7259445476122	3.1453901528838	0.731677269373721
+278.6	13.7268443453432	3.14539125624471	0.763543346169193
+298.19	13.7277441433913	3.14539235882661	0.717702709842643
+273.27	13.7286439417562	3.14539346062951	0.74658707649169
+265.32	13.7295437404378	3.14539456165339	0.767884623840303
+256.08	13.7304435394358	3.14539566189826	0.796904633012229
+269.66	13.7313433387501	3.14539676136411	0.805992320598436
+274.74	13.7322431383803	3.14539786005095	0.777388975736682
+247.78	13.7331429383263	3.14539895795877	0.809461197656138
+241.71	13.7340427385878	3.14540005508758	0.814455766656989
+246.34	13.7349425391646	3.14540115143736	0.823607093019298
+243.04	13.7358423400565	3.14540224700812	0.815378875124223
+244.29	13.7367421412632	3.14540334179986	0.822922466712036
+238.73	13.7376419427846	3.14540443581258	0.825216801735124
+227.23	13.7385417446204	3.14540552904627	0.823682406248137
+228.27	13.7394415467704	3.14540662150094	0.82112357180259
+228.57	13.7403413492343	3.14540771317658	0.82369420685088
+234.87	13.741241152012	3.14540880407319	0.819714785904369
+235.44	13.7421409551032	3.14540989419077	0.815946452870435
+245.12	13.7430407585077	3.14541098352931	0.815164438019516
+240.49	13.7439405622253	3.14541207208883	0.821607025783678
+239.72	13.7448403662557	3.14541315986931	0.812596596659423
+229.57	13.7457401705988	3.14541424687075	0.818466341309202
+229.38	13.7466399752542	3.14541533309316	0.825773829499222
+232.57	13.7475397802218	3.14541641853653	0.809342102664376
+226.72	13.7484395855013	3.14541750320085	0.823133849477717
+242.41	13.7493393910926	3.14541858708614	0.814677566665169
+251.73	13.7502391969954	3.14541967019239	0.802643850014063
+257.59	13.7511390032095	3.14542075251959	0.801539594053216
+264.96	13.7520388097346	3.14542183406774	0.792601030405908
+258.17	13.7529386165705	3.14542291483685	0.787532021291283
+261	13.753838423717	3.14542399482691	0.80165306793706
+254.26	13.7547382311739	3.14542507403793	0.795695077189811
+253.03	13.755638038941	3.14542615246989	0.794105722054628
+253.04	13.756537847018	3.1454272301228	0.804633817638045
+267.87	13.7574376554047	3.14542830699666	0.799584115230512
+284.19	13.7583374641009	3.14542938309146	0.796665853031013
+295.32	13.7592372731064	3.1454304584072	0.783549255637674
+281.8	13.7601370824209	3.14543153294389	0.774322160714099
+257.1	13.7610368920442	3.14543260670153	0.799524252917043
+245.88	13.7619367019761	3.1454336796801	0.788722144340006
+253.34	13.7628365122164	3.14543475187961	0.752059993707511
+257.14	13.7637363227648	3.14543582330005	0.743057095397591
+260.32	13.7646361336211	3.14543689394144	0.766184969033724
+268.81	13.7655359447851	3.14543796380376	0.73288277117932
+265.44	13.7664357562566	3.14543903288701	0.75651012514572
+265.68	13.7673355680353	3.1454401011912	0.799992291223558
+280.54	13.7682353801211	3.14544116871631	0.781535000432638
+255.82	13.7691351925136	3.14544223546236	0.792428183604621
+265.49	13.7700350052128	3.14544330142933	0.773183582316082
+274.51	13.7709348182182	3.14544436661723	0.793191974548063
+272.98	13.7718346315298	3.14544543102606	0.796557869436181
+276.18	13.7727344451473	3.14544649465581	0.784670503375742
+278.71	13.7736342590705	3.14544755750649	0.793037383335188
+286.54	13.7745340732991	3.14544861957808	0.764370729823037
+293.7	13.775433887833	3.1454496808706	0.715590551181102
+277.43	13.7763337026718	3.14545074138404	0.786098758043824
+265.17	13.7772335178155	3.14545180111839	0.795641037548807
+269.31	13.7781333332637	3.14545286007366	0.810958840946293
+274.15	13.7790331490162	3.14545391824985	0.788568065488399
+289.22	13.7799329650728	3.14545497564695	0.7616782884855
+303.69	13.7808327814334	3.14545603226496	0.73902987513054
+312.16	13.7817325980976	3.14545708810388	0.7535554195957
+310.91	13.7826324150652	3.14545814316372	0.736205387162668
+286.2	13.783532232336	3.14545919744446	0.782172865700183
+303.25	13.7844320499098	3.14546025094611	0.781039335233938
+302.26	13.7853318677864	3.14546130366867	0.736735106803226
+315.61	13.7862316859656	3.14546235561213	0.750022695924398
+290.11	13.787131504447	3.14546340677649	0.767679372775571
+260.88	13.7880313232306	3.14546445716176	0.819127790648694
+250.13	13.788931142316	3.14546550676793	0.808898114818659
+250.83	13.789830961703	3.145466555595	0.809905201972973
+258.03	13.7907307813915	3.14546760364296	0.798971115006478
+266.8	13.7916306013812	3.14546865091182	0.811763296344717
+271.27	13.7925304216718	3.14546969740158	0.798500544453927
+264.77	13.7934302422632	3.14547074311224	0.800166672980037
+269.18	13.7943300631552	3.14547178804378	0.803561752959456
+262.05	13.7952298843474	3.14547283219622	0.803557588845665
+256.51	13.7961297058397	3.14547387556955	0.802294473772336
+253.5	13.7970295276319	3.14547491816377	0.802526443954037
+247.9	13.7979293497236	3.14547595997888	0.809842210760014
+236.41	13.7988291721148	3.14547700101487	0.81467969665686
+241.98	13.7997289948052	3.14547804127175	0.80147218268628
+248.99	13.8006288177945	3.14547908074951	0.798735144902356
+249.71	13.7115489375016	3.14446791941547	0.798796254525049
+244.37	13.7124487293537	3.14446903491886	0.813234620130442
+252.05	13.7133485215265	3.14447014964348	0.79730828031407
+252.52	13.7142483140197	3.14447126358934	0.801578614218719
+254.72	13.7151481068331	3.14447237675643	0.793323368934293
+244.08	13.7160478999666	3.14447348914476	0.794080027851569
+250.96	13.7169476934199	3.14447460075431	0.822665883734586
+261.16	13.7178474871927	3.1444757115851	0.810905423620337
+245.96	13.7187472812848	3.14447682163712	0.814932251114646
+248.18	13.7196470756961	3.14447793091037	0.810386507577471
+241.81	13.7205468704262	3.14447903940484	0.810553207503474
+241.27	13.7214466654751	3.14448014712054	0.817400042717535
+245.56	13.7223464608423	3.14448125405746	0.824747389976166
+244.44	13.7232462565278	3.1444823602156	0.830036362428811
+259.31	13.7241460525313	3.14448346559497	0.825907294837486
+259.57	13.7250458488525	3.14448457019555	0.80879625366675
+267.46	13.7259456454913	3.14448567401736	0.792291087647671
+277.55	13.7268454424474	3.14448677706037	0.750315819744811
+260.99	13.7277452397206	3.14448787932461	0.772152636390456
+258.59	13.7286450373107	3.14448898081006	0.798575237159433
+253.43	13.7295448352175	3.14449008151672	0.808481590209741
+254.59	13.7304446334406	3.1444911814446	0.820403739877895
+261.65	13.73134443198	3.14449228059369	0.81289328581459
+249.06	13.7322442308353	3.14449337896398	0.803857839327351
+246.49	13.7331440300064	3.14449447655548	0.836237434325343
+242.78	13.734043829493	3.14449557336819	0.822715711143771
+243.75	13.734943629295	3.1444966694021	0.831118353829423
+242.13	13.735843429412	3.14449776465722	0.819287019133184
+239.53	13.7367432298439	3.14449885913354	0.825917179052355
+230.24	13.7376430305904	3.14449995283106	0.822771233475484
+230.88	13.7385428316513	3.14450104574977	0.81565849256119
+229.53	13.7394426330264	3.14450213788969	0.823879471579274
+230.29	13.7403424347155	3.1445032292508	0.832769845483249
+242.07	13.7412422367183	3.14450431983311	0.823254018741021
+235.95	13.7421420390346	3.14450540963661	0.820394612743804
+255.71	13.7430418416642	3.14450649866131	0.818794251664914
+239.69	13.7439416446069	3.1445075869072	0.810289414647341
+231.32	13.7448414478624	3.14450867437427	0.810980366923776
+228.57	13.7457412514306	3.14450976106254	0.819226980355798
+228.85	13.7466410553111	3.14451084697199	0.820262467998739
+239.68	13.7475408595038	3.14451193210263	0.822091040753845
+241.43	13.7484406640085	3.14451301645445	0.815249368894318
+243.62	13.7493404688248	3.14451410002746	0.829960640324891
+246.67	13.7502402739527	3.14451518282165	0.819333407615811
+249.77	13.7511400793919	3.14451626483702	0.824818809156982
+252.99	13.7520398851421	3.14451734607357	0.809109010376839
+262.07	13.7529396912031	3.14451842653129	0.805438645304669
+258.21	13.7538394975748	3.1445195062102	0.797098814143008
+264.05	13.7547393042568	3.14452058511028	0.793501879636837
+257.75	13.7556391112489	3.14452166323153	0.790770715770716
+251.74	13.756538918551	3.14452274057395	0.79935807691162
+262.14	13.7574387261628	3.14452381713755	0.819279600755049
+272.74	13.7583385340841	3.14452489292232	0.804770682212326
+270.48	13.7592383423147	3.14452596792825	0.789401972690382
+263.78	13.7601381508543	3.14452704215535	0.807364550973295
+250.58	13.7610379597027	3.14452811560362	0.807336141295256
+237.82	13.7619377688597	3.14452918827306	0.79598440593355
+236.09	13.762837578325	3.14453026016365	0.797416372946731
+237.95	13.7637373880985	3.14453133127541	0.806259952733035
+237.59	13.7646371981799	3.14453240160833	0.815791164476494
+241.38	13.765537008569	3.14453347116241	0.794282142387156
+248.13	13.7664368192655	3.14453453993765	0.793770538422649
+251.95	13.7673366302694	3.14453560793404	0.802060715233372
+252.04	13.7682364415802	3.14453667515159	0.80235792019347
+254.02	13.7691362531978	3.14453774159029	0.814544977418063
+264.44	13.770036065122	3.14453880725015	0.804486004155971
+263.83	13.7709358773525	3.14453987213116	0.800014005137674
+263.9	13.7718356898892	3.14454093623332	0.79284231280527
+269.2	13.7727355027318	3.14454199955662	0.795818597137916
+297.06	13.77363531588	3.14454306210108	0.805903981510663
+282.31	13.7745351293337	3.14454412386668	0.800936877076412
+271.1	13.7754349430926	3.14454518485342	0.79882898082689
+288.42	13.7763347571565	3.14454624506131	0.72139977121818
+269.18	13.7772345715252	3.14454730449034	0.777478568247606
+267.48	13.7781343861985	3.14454836314052	0.783679172056921
+278.84	13.7790342011761	3.14454942101183	0.789250880298942
+292.09	13.7799340164578	3.14455047810428	0.78965250581538
+299.17	13.7808338320434	3.14455153441787	0.796403533610687
+290.29	13.7817336479326	3.14455258995259	0.803270676691729
+305.61	13.7826334641253	3.14455364470845	0.796774084676442
+294.97	13.7835332806212	3.14455469868544	0.792839299538939
+272.37	13.7844330974201	3.14455575188356	0.810771266867514
+263.24	13.7853329145217	3.14455680430282	0.802264244293915
+265.36	13.7862327319259	3.1445578559432	0.808268949676342
+275.21	13.7871325496324	3.14455890680471	0.806349326902994
+279.86	13.788032367641	3.14455995688735	0.745918417799753
+254.16	13.7889321859514	3.14456100619112	0.806834730725183
+259.88	13.7898320045635	3.144562054716	0.817112346332371
+259.92	13.7907318234771	3.14456310246201	0.802888462297494
+269.05	13.7916316426918	3.14456414942915	0.813350156536759
+260.98	13.7925314622075	3.1445651956174	0.795630009543836
+258.02	13.7934312820239	3.14456624102677	0.799536678351986
+260.91	13.7943311021409	3.14456728565726	0.800546958477483
+260.09	13.7952309225581	3.14456832950886	0.80286313956791
+259.22	13.7961307432755	3.14456937258159	0.810447435328586
+257.03	13.7970305642927	3.14457041487542	0.800907400632842
+246.27	13.7979303856095	3.14457145639037	0.798955149044916
+238.36	13.7988302072257	3.14457249712642	0.81093806869337
+238.21	13.7997300291411	3.14457353708359	0.815960893494023
+256.52	13.8006298513555	3.14457457626187	0.809452561798879
+249.26	13.7115500474574	3.14356344564972	0.804189057373415
+240.07	13.7124498385349	3.14356456083163	0.813248660797765
+247.7	13.713349629933	3.14356567523499	0.825962891017483
+242.6	13.7142494216516	3.14356678885982	0.821181874757171
+242.35	13.7151492136905	3.1435679017061	0.82033527696793
+245.49	13.7160490060493	3.14356901377384	0.80730384724114
+240.28	13.716948798728	3.14357012506304	0.816317913433518
+257.25	13.7178485917261	3.14357123557369	0.797451763453552
+250.75	13.7187483850437	3.1435723453058	0.798064741200448
+244.88	13.7196481786803	3.14357345425936	0.807757545884195
+241.16	13.7205479726358	3.14357456243437	0.81567348158478
+235.15	13.72144776691	3.14357566983083	0.819813059359723
+241.96	13.7223475615026	3.14357677644874	0.821144970634946
+238	13.7232473564135	3.14357788228809	0.834628004979422
+243.63	13.7241471516423	3.14357898734889	0.843325657582376
+245.23	13.7250469471889	3.14358009163114	0.836766147802633
+251.06	13.7259467430531	3.14358119513482	0.819305773023975
+253.6	13.7268465392346	3.14358229785995	0.825505337121038
+257.52	13.7277463357331	3.14358339980652	0.818573162980127
+248.09	13.7286461325486	3.14358450097453	0.832962395955282
+237.78	13.7295459296807	3.14358560136398	0.842929190046729
+255.56	13.7304457271292	3.14358670097486	0.831252113536874
+253.84	13.7313455248939	3.14358779980717	0.823498512772752
+242.67	13.7322453229746	3.14358889786092	0.823166326046118
+254.72	13.733145121371	3.14358999513611	0.812863076171345
+240.36	13.734044920083	3.14359109163272	0.820927495789555
+244.9	13.7349447191103	3.14359218735076	0.834475638782943
+239.46	13.7358445184527	3.14359328229023	0.830829025116985
+242.38	13.7367443181099	3.14359437645112	0.83074116971737
+231.9	13.7376441180817	3.14359546983344	0.827339472597699
+230.68	13.738543918368	3.14359656243719	0.825570459478692
+230.11	13.7394437189685	3.14359765426236	0.832322227045417
+233.52	13.7403435198829	3.14359874530895	0.831064840494375
+243.25	13.741243321111	3.14359983557696	0.818487602974849
+253.3	13.7421431226527	3.14360092506638	0.79975577231387
+256.01	13.7430429245076	3.14360201377723	0.798333734126646
+231.45	13.7439427266756	3.14360310170949	0.806769780722072
+230.77	13.7448425291565	3.14360418886316	0.816799028161936
+231.04	13.74574233195	3.14360527523825	0.820167201793179
+234.02	13.7466421350558	3.14360636083475	0.826588546862813
+235.38	13.7475419384739	3.14360744565266	0.817700309962439
+237.9	13.7484417422039	3.14360852969198	0.819687347516794
+239.92	13.7493415462456	3.1436096129527	0.826842706847803
+241.57	13.7502413505988	3.14361069543484	0.817326255723899
+264.02	13.7511411552633	3.14361177713837	0.812402789453443
+256.23	13.7520409602388	3.14361285806332	0.814177853822722
+248.62	13.7529407655251	3.14361393820966	0.817887392315551
+249.09	13.7538405711221	3.14361501757741	0.810600282664565
+252.91	13.7547403770294	3.14361609616655	0.811359667718222
+257.5	13.7556401832469	3.1436171739771	0.814716940009808
+255.14	13.7565399897743	3.14361825100904	0.818217051628125
+256.11	13.7574397966115	3.14361932726237	0.821165913231226
+252.49	13.7583396037581	3.1436204027371	0.814788302790306
+247.93	13.7592394112139	3.14362147743323	0.805954583171565
+250.14	13.7601392189788	3.14362255135074	0.813896892117303
+240.32	13.7610390270525	3.14362362448965	0.803851628975379
+235.79	13.7619388354348	3.14362469684995	0.796644623637775
+232.52	13.7628386441255	3.14362576843163	0.808283321242498
+238.91	13.7637384531243	3.1436268392347	0.803070544794973
+230.55	13.764638262431	3.14362790925916	0.810468475702399
+246.01	13.7655380720454	3.14362897850499	0.799501441518931
+244.12	13.7664378819672	3.14363004697222	0.801816801932966
+251.06	13.7673376921963	3.14363111466082	0.798937043260776
+263.54	13.7682375027325	3.1436321815708	0.791333333333333
+264.33	13.7691373135754	3.14363324770216	0.805753332680552
+259.94	13.7700371247249	3.1436343130549	0.793275600529964
+262.31	13.7709369361807	3.14363537762902	0.785997327380447
+246.71	13.7718367479427	3.14363644142451	0.79911810672025
+267.73	13.7727365600105	3.14363750444137	0.801462165504244
+290	13.7736363723841	3.1436385666796	0.795288859581639
+286.89	13.7745361850631	3.14363962813921	0.805720401130799
+260.36	13.7754359980473	3.14364068882018	0.801925130571379
+258.67	13.7763358113365	3.14364174872253	0.795006687141793
+256.74	13.7772356249305	3.14364280784624	0.765262048883653
+263.15	13.778135438829	3.14364386619131	0.778359976317347
+272.62	13.7790352530319	3.14364492375775	0.803486051775168
+286.83	13.7799350675389	3.14364598054555	0.796081304957308
+284.29	13.7808348823497	3.14364703655472	0.797741101663784
+282.63	13.7817346974643	3.14364809178524	0.808769986781036
+295.56	13.7826345128822	3.14364914623713	0.793471763564562
+288.4	13.7835343286034	3.14365019991037	0.798937069142706
+267.52	13.7844341446275	3.14365125280496	0.815043384844228
+259.04	13.7853339609544	3.14365230492092	0.808447335829288
+256.57	13.7862337775839	3.14365335625822	0.811005791045613
+254.75	13.7871335945157	3.14365440681688	0.816600812129995
+263.55	13.7880334117495	3.14365545659689	0.803246024353712
+269.57	13.7889332292853	3.14365650559825	0.750630038568107
+269.77	13.7898330471226	3.14365755382096	0.819076586582824
+262.01	13.7907328652614	3.14365860126501	0.820116327624358
+268.17	13.7916326837014	3.14365964793042	0.803397071148943
+260.49	13.7925325024424	3.14366069381716	0.827326217438869
+259.18	13.7934323214841	3.14366173892525	0.819700885304771
+254.2	13.7943321408263	3.14366278325468	0.811455386754914
+257.36	13.7952319604688	3.14366382680546	0.813474846713758
+263.98	13.7961317804114	3.14366486957757	0.800890239137658
+248.2	13.7970316006539	3.14366591157102	0.819882289390157
+251.67	13.797931421196	3.14366695278581	0.814386443474077
+241.96	13.7988312420374	3.14366799322193	0.826698778961539
+250.9	13.7997310631781	3.14366903287939	0.82004831753899
+250.89	13.8006308846177	3.14367007175818	0.809300062975854
+245.9	13.7115511570924	3.14265897186788	0.801268052643839
+245.97	13.7124509473954	3.1426600867283	0.822049346312968
+246.32	13.7133507380192	3.14266120081041	0.813254483789377
+237.71	13.7142505289634	3.1426623141142	0.819491201637843
+244.59	13.7151503202278	3.14266342663968	0.814749198804508
+234.32	13.7160501118123	3.14266453838683	0.815309493034611
+243.34	13.7169499037165	3.14266564935567	0.819537826995876
+251.35	13.7178496959403	3.14266675954619	0.813956780053857
+241.89	13.7187494884834	3.14266786895839	0.813351087700196
+240.75	13.7196492813456	3.14266897759226	0.807341190831513
+235.75	13.7205490745267	3.14267008544781	0.8071761792317
+234.8	13.7214488680265	3.14267119252503	0.811240589553338
+237.29	13.7223486618448	3.14267229882393	0.825736175535519
+233.74	13.7232484559812	3.14267340434449	0.818840284842319
+237.83	13.7241482504356	3.14267450908673	0.826871389292224
+251.2	13.7250480452078	3.14267561305063	0.819932647182137
+262.73	13.7259478402976	3.14267671623621	0.827651390880771
+242.45	13.7268476357046	3.14267781864345	0.822354859978485
+246.96	13.7277474314288	3.14267892027235	0.819582603289437
+251.24	13.7286472274698	3.14268002112292	0.827427645740688
+248.87	13.7295470238275	3.14268112119515	0.848619237725984
+252.21	13.7304468205016	3.14268222048903	0.833872016433761
+243.21	13.7313466174919	3.14268331900458	0.821497937011677
+239.6	13.7322464147981	3.14268441674179	0.831334563345633
+237.76	13.7331462124202	3.14268551370065	0.831492717029842
+235.56	13.7340460103577	3.14268660988117	0.832435515991624
+245.98	13.7349458086106	3.14268770528334	0.8137384551908
+240.76	13.7358456071785	3.14268879990716	0.817065068139202
+234.14	13.7367454060613	3.14268989375263	0.83589221211776
+224.11	13.7376452052587	3.14269098681976	0.821121438827174
+229.91	13.7385450047705	3.14269207910853	0.829235310368895
+232.15	13.7394448045966	3.14269317061895	0.821562108206264
+232.05	13.7403446047365	3.14269426135101	0.821609645468505
+240.98	13.7412444051902	3.14269535130472	0.810122756884752
+244.42	13.7421442059575	3.14269644048007	0.795599975117673
+250.2	13.743044007038	3.14269752887707	0.794118255245059
+241.89	13.7439438084315	3.1426986164957	0.801647558112328
+239.08	13.744843610138	3.14269970333597	0.806163325718331
+230.94	13.745743412157	3.14270078939788	0.815292524208363
+229.08	13.7466432144884	3.14270187468143	0.827519039250146
+236.17	13.747543017132	3.14270295918661	0.821717881520528
+236.29	13.7484428200875	3.14270404291343	0.825669706003961
+238.19	13.7493426233548	3.14270512586188	0.822207614352232
+240.75	13.7502424269336	3.14270620803195	0.824854814989749
+244.73	13.7511422308236	3.14270728942366	0.810810610055932
+253.44	13.7520420350247	3.142708370037	0.806996471455459
+246.49	13.7529418395366	3.14270944987196	0.815537639573465
+241.87	13.7538416443591	3.14271052892855	0.809462614991616
+241.97	13.7547414494919	3.14271160720676	0.816377831667357
+235.83	13.755641254935	3.1427126847066	0.820006909951445
+243.23	13.7565410606879	3.14271376142805	0.813540774044686
+246.85	13.7574408667506	3.14271483737113	0.820492511262674
+250.09	13.7583406731227	3.14271591253583	0.80298239111749
+242.96	13.7592404798041	3.14271698692214	0.811702664533267
+242.6	13.7601402867946	3.14271806053007	0.810725771538129
+243.36	13.7610400940938	3.14271913335961	0.809781069933655
+235.21	13.7619399017016	3.14272020541077	0.802208084614003
+240.78	13.7628397096178	3.14272127668354	0.804991437233531
+237.98	13.7637395178421	3.14272234717793	0.804257904139207
+237.49	13.7646393263744	3.14272341689392	0.819662218750352
+240.82	13.7655391352143	3.14272448583152	0.810009813542689
+244.05	13.7664389443617	3.14272555399072	0.805928694269138
+251.42	13.7673387538163	3.14272662137154	0.800847524502454
+255.95	13.768238563578	3.14272768797395	0.799383315166266
+263.49	13.7691383736464	3.14272875379797	0.792638803167998
+254.19	13.7700381840214	3.1427298188436	0.813745736781763
+250.03	13.7709379947028	3.14273088311082	0.811920213103791
+249.93	13.7718378056903	3.14273194659964	0.818758797370106
+266.83	13.7727376169836	3.14273300931006	0.834746339591817
+269.59	13.7736374285827	3.14273407124207	0.823381311136374
+269.4	13.7745372404872	3.14273513239568	0.835028491817198
+263.03	13.7754370526969	3.14273619277089	0.830362403539
+270.87	13.7763368652116	3.14273725236769	0.813523196819917
+251.28	13.7772366780311	3.14273831118607	0.801401493394601
+256.7	13.7781364911552	3.14273936922605	0.825042676170226
+268.3	13.7790363045836	3.14274042648762	0.825167129944725
+268.58	13.7799361183161	3.14274148297077	0.814532429994535
+271.77	13.7808359323524	3.14274253867551	0.796091198204432
+275.85	13.7817357466924	3.14274359360184	0.782083370578946
+276.36	13.7826355613359	3.14274464774975	0.793188343382142
+280.69	13.7835353762826	3.14274570111924	0.821084967557402
+259.33	13.7844351915322	3.14274675371031	0.813254196932314
+252.63	13.7853350070847	3.14274780552296	0.797363885535537
+244.88	13.7862348229396	3.14274885655719	0.813429668963125
+247.96	13.7871346390969	3.142749906813	0.807717115277588
+246.57	13.7880344555562	3.14275095629038	0.836665100606408
+285.04	13.7889342723175	3.14275200498934	0.735240139664619
+301.35	13.7898340893803	3.14275305290987	0.71641508619688
+277.23	13.7907339067446	3.14275410005197	0.796572466534163
+271.43	13.7916337244101	3.14275514641564	0.813418870225442
+275.31	13.7925335423765	3.14275619200088	0.80383121540606
+258.52	13.7934333606437	3.14275723680769	0.809143540187508
+260.39	13.7943331792114	3.14275828083607	0.806926478459378
+261.37	13.7952329980794	3.14275932408601	0.807440656515862
+261.45	13.7961328172475	3.14276036655751	0.819080403751969
+248.48	13.7970326367154	3.14276140825058	0.820861320467135
+238.54	13.797932456483	3.14276244916521	0.807257719998903
+242.48	13.79883227655	3.1427634893014	0.801592984432198
+249.14	13.7997320969161	3.14276452865915	0.805386265363794
+251.45	13.8006319175812	3.14276556723845	0.800224685032789
+234.19	13.7115522664064	3.14175449806995	0.808371794420109
+236.76	13.7124520559353	3.14175561260889	0.820359592793288
+239.28	13.7133518457849	3.14175672636974	0.798794096543632
+238.74	13.7142516359549	3.1417578393525	0.818914424117956
+237.28	13.7151514264451	3.14175895155717	0.814773390947853
+233.64	13.7160512172554	3.14176006298374	0.813523245701033
+236.86	13.7169510083855	3.14176117363222	0.815338387948462
+236.15	13.7178507998351	3.14176228350261	0.823107639714952
+237.66	13.718750591604	3.14176339259489	0.810838859340542
+233.78	13.7196503836921	3.14176450090908	0.82183626304363
+234.51	13.720550176099	3.14176560844517	0.810683971709521
+231.09	13.7214499688246	3.14176671520315	0.81437999358377
+229.02	13.7223497618686	3.14176782118304	0.81824105468528
+237.63	13.7232495552309	3.14176892638482	0.808225613359802
+235.49	13.7241493489111	3.14177003080849	0.809374818935048
+237.46	13.7250491429091	3.14177113445405	0.820697954271961
+240.04	13.7259489372247	3.14177223732151	0.8249774863511
+234.62	13.7268487318576	3.14177333941086	0.816703027663146
+247.87	13.7277485268075	3.1417744407221	0.809923747674122
+256.59	13.7286483220744	3.14177554125522	0.80944928238777
+264.3	13.7295481176578	3.14177664101024	0.845299651264901
+257.81	13.7304479135577	3.14177773998713	0.833652837225332
+253.57	13.7313477097738	3.14177883818591	0.807395956112524
+255.74	13.7322475063059	3.14177993560657	0.811286272273503
+245.78	13.7331473031537	3.14178103224912	0.834852414003509
+249.34	13.7340471003171	3.14178212811354	0.809625219223911
+243.14	13.7349468977957	3.14178322319984	0.815787008682495
+241.02	13.7358466955895	3.14178431750802	0.815311520955252
+234.47	13.736746493698	3.14178541103807	0.822113582062121
+235.44	13.7376462921213	3.14178650379	0.820035395071459
+227.8	13.7385460908589	3.1417875957638	0.81767019573092
+233.47	13.7394458899107	3.14178868695947	0.830569267630842
+239.55	13.7403456892764	3.14178977737701	0.828480466936393
+240.33	13.7412454889559	3.14179086701642	0.801773686397817
+246.06	13.742145288949	3.1417919558777	0.795059722109369
+241.84	13.7430450892553	3.14179304396084	0.792252105940927
+242.56	13.7439448898746	3.14179413126585	0.807103783034132
+231.53	13.7448446908068	3.14179521779272	0.815072782244897
+229.52	13.7457444920516	3.14179630354145	0.826559579809676
+227.77	13.7466442936088	3.14179738851205	0.825967048037724
+231.61	13.7475440954782	3.1417984727045	0.814315215273719
+240.33	13.7484438976595	3.14179955611881	0.810856166473424
+241.11	13.7493437001525	3.14180063875498	0.818591748543893
+235.86	13.7502435029571	3.14180172061301	0.813444514516619
+235.02	13.7511433060729	3.14180280169288	0.815863013910714
+245.2	13.7520431094997	3.14180388199461	0.809175608519659
+238.95	13.7529429132374	3.1418049615182	0.807845131012906
+231.59	13.7538427172857	3.14180604026363	0.811692365683861
+237.54	13.7547425216443	3.14180711823091	0.81224483624157
+238.26	13.7556423263131	3.14180819542003	0.812679113528044
+225.1	13.7565421312918	3.14180927183101	0.809625818252226
+238.68	13.7574419365802	3.14181034746383	0.808041800074643
+245.43	13.7583417421781	3.14181142231849	0.806081894425259
+243.15	13.7592415480853	3.14181249639499	0.802742886945802
+240.53	13.7601413543015	3.14181356969334	0.818557906500004
+242.38	13.7610411608265	3.14181464221352	0.81779980238426
+229.69	13.7619409676601	3.14181571395554	0.815706070640612
+237.48	13.762840774802	3.1418167849194	0.819867863823992
+237	13.7637405822521	3.1418178551051	0.814504844428433
+240.01	13.7646403900101	3.14181892451262	0.815183697009019
+245.37	13.7655401980758	3.14181999314198	0.806453567182376
+255.37	13.7664400064489	3.14182106099318	0.800140247109309
+255.01	13.7673398151293	3.1418221280662	0.805478394193967
+274.99	13.7682396241167	3.14182319436105	0.767453621924314
+252.78	13.7691394334109	3.14182425987773	0.805789932536846
+250.21	13.7700392430116	3.14182532461624	0.816029681088501
+246.96	13.7709390529187	3.14182638857656	0.805240133664102
+245.77	13.771838863132	3.14182745175872	0.80753917508064
+257.41	13.7727386736511	3.14182851416269	0.816430474913083
+277.53	13.7736384844759	3.14182957578849	0.804680836775125
+269.21	13.7745382956061	3.14183063663611	0.830840796717534
+268.82	13.7754381070415	3.14183169670554	0.843555438564366
+265.04	13.776337918782	3.14183275599679	0.822106488105458
+243.7	13.7772377308272	3.14183381450986	0.826031811680367
+246.28	13.778137543177	3.14183487224474	0.809171806232791
+250.76	13.7790373558311	3.14183592920144	0.815248436632084
+251.55	13.7799371687894	3.14183698537995	0.808936665850601
+254	13.7808369820515	3.14183804078026	0.807961128484978
+264.04	13.7817367956172	3.14183909540239	0.805197387105936
+266.5	13.7826366094864	3.14184014924632	0.80190645247182
+257.22	13.7835364236588	3.14184120231207	0.803878766920977
+253.81	13.7844362381342	3.14184225459961	0.805534273068769
+252.91	13.7853360529123	3.14184330610896	0.816857714119011
+252.03	13.786235867993	3.14184435684012	0.810345442993696
+248.18	13.787135683376	3.14184540679307	0.812521404577483
+243.24	13.7880354990611	3.14184645596783	0.815216514501522
+266.66	13.788935315048	3.14184750436438	0.805129016416676
+340.54	13.7898351313366	3.14184855198273	0.620846821895949
+342.71	13.7907349479266	3.14184959882288	0.596222592039332
+331.26	13.7916347648178	3.14185064488482	0.647531475798072
+321.16	13.7925345820099	3.14185169016856	0.702018627489186
+286.13	13.7934343995028	3.14185273467409	0.80511047847147
+265.2	13.7943342172962	3.14185377840141	0.811810775988881
+261.45	13.79523403539	3.14185482135051	0.810294384974465
+253.92	13.7961338537838	3.14185586352141	0.804313613143982
+245.33	13.7970336724774	3.1418569049141	0.813958251049575
+240.44	13.7979334914707	3.14185794552857	0.822117256613015
+252.1	13.7988333107633	3.14185898536482	0.805573946791816
+259.33	13.7997331303552	3.14186002442286	0.792034559854485
+268.72	13.8006329502459	3.14186106270268	0.798378071126206
+230.58	13.7115533753995	3.14085002425594	0.822657537256051
+234.23	13.7124531641544	3.1408511384734	0.819533961328706
+236.07	13.7133529532301	3.14085225191299	0.816459739881262
+238.13	13.7142527426262	3.14085336457472	0.811555304421528
+227.73	13.7151525323425	3.14085447645858	0.816058985949535
+234.03	13.7160523223788	3.14085558756457	0.807693068954188
+240.54	13.7169521127349	3.14085669789269	0.81700119821087
+239.46	13.7178519034105	3.14085780744294	0.820546211283892
+241.46	13.7187516944055	3.14085891621532	0.81708808173602
+237.88	13.7196514857196	3.14086002420982	0.814638926579225
+234.17	13.7205512773526	3.14086113142645	0.818181145834489
+229.32	13.7214510693042	3.1408622378652	0.823690136616124
+230.59	13.7223508615743	3.14086334352607	0.817083829956297
+235.87	13.7232506541626	3.14086444840906	0.813475992239155
+234.6	13.7241504470689	3.14086555251417	0.810354754075557
+241.27	13.7250502402929	3.1408666558414	0.810633749927786
+242.87	13.7259500338345	3.14086775839074	0.809542901450536
+245.38	13.7268498276934	3.1408688601622	0.811287249447451
+250.32	13.7277496218694	3.14086996115577	0.797278712728445
+255.48	13.7286494163623	3.14087106137146	0.797846786855882
+255.98	13.7295492111718	3.14087216080925	0.823274539244642
+259.06	13.7304490062977	3.14087325946916	0.82375702436769
+253.68	13.7313488017398	3.14087435735117	0.813045800414791
+250.1	13.7322485974979	3.14087545445529	0.813763081072776
+250.68	13.7331483935718	3.14087655078152	0.822638940884185
+237.61	13.7340481899611	3.14087764632984	0.814316626056569
+236.62	13.7349479866658	3.14087874110027	0.811521382625821
+243.6	13.7358477836856	3.14087983509281	0.814630761390866
+238.46	13.7367475810202	3.14088092830744	0.810816234012352
+228.85	13.7376473786694	3.14088202074417	0.812765924347197
+224.39	13.738547176633	3.140883112403	0.826608252854674
+237.59	13.7394469749109	3.14088420328392	0.830294544664503
+237.77	13.7403467735026	3.14088529338694	0.809948305571511
+230.82	13.7412465724081	3.14088638271205	0.812269400531913
+232.77	13.7421463716272	3.14088747125925	0.807352150756552
+240.39	13.7430461711595	3.14088855902855	0.79778985684671
+245.68	13.7439459710048	3.14088964601993	0.800826665833229
+228.68	13.744845771163	3.1408907322334	0.819985497631794
+226.87	13.7457455716339	3.14089181766896	0.813682110184916
+229.94	13.7466453724171	3.1408929023266	0.814602533881001
+230.87	13.7475451735124	3.14089398620633	0.816872483273002
+241.98	13.7484449749197	3.14089506930814	0.802955937780555
+231.75	13.7493447766388	3.14089615163203	0.811898439763603
+233.1	13.7502445786693	3.140897233178	0.812666739472986
+233	13.7511443810111	3.14089831394605	0.817321665755137
+235.68	13.7520441836639	3.14089939393617	0.820739063457006
+234.73	13.7529439866276	3.14090047314837	0.811822498516135
+244.82	13.7538437899019	3.14090155158265	0.822182818753069
+243.68	13.7547435934865	3.14090262923899	0.807238475316595
+239.12	13.7556433973813	3.14090370611742	0.809652231176895
+229.31	13.756543201586	3.14090478221791	0.80893092687321
+245.19	13.7574430061004	3.14090585754047	0.816638332956361
+242.85	13.7583428109243	3.14090693208509	0.81319512176681
+239.19	13.7592426160574	3.14090800585179	0.803156902718028
+235.68	13.7601424214996	3.14090907884055	0.821622023256678
+244.63	13.7610422272506	3.14091015105137	0.800584184614902
+229.02	13.7619420333102	3.14091122248426	0.815497891200229
+238.27	13.7628418396781	3.1409122931392	0.813827401421141
+241.19	13.7637416463541	3.14091336301621	0.811224529042084
+242.67	13.7646414533381	3.14091443211528	0.812133860991678
+251.63	13.7655412606298	3.1409155004364	0.816871901198954
+247.23	13.7664410682289	3.14091656797958	0.80733464712403
+245.69	13.7673408761352	3.14091763474481	0.802998043390463
+251.75	13.7682406843486	3.1409187007321	0.77684986134531
+242.45	13.7691404928688	3.14091976594143	0.816640793413724
+254.35	13.7700403016955	3.14092083037282	0.810800547994163
+252.81	13.7709401108286	3.14092189402626	0.813671973810109
+243.57	13.7718399202677	3.14092295690175	0.818475447432655
+252.47	13.7727397300128	3.14092401899928	0.809782159469187
+267.59	13.7736395400636	3.14092508031886	0.805309673074653
+249.29	13.7745393504198	3.14092614086048	0.827568035024187
+255.01	13.7754391610812	3.14092720062415	0.841887224611033
+262.47	13.7763389720476	3.14092825960986	0.837562699363223
+257.81	13.7772387833188	3.1409293178176	0.831839853595107
+243.81	13.7781385948945	3.14093037524739	0.816012186252836
+239.56	13.7790384067746	3.14093143189921	0.803137267192679
+244.71	13.7799382189588	3.14093248777307	0.816740361263462
+252.97	13.7808380314468	3.14093354286897	0.826788570173452
+254.82	13.7817378442385	3.1409345971869	0.815693129956941
+252.43	13.7826376573337	3.14093565072686	0.796056761553425
+259.6	13.783537470732	3.14093670348885	0.799951695561275
+265.28	13.7844372844334	3.14093775547287	0.801835900113112
+248.69	13.7853370984374	3.14093880667892	0.804737594903145
+239.78	13.7862369127441	3.140939857107	0.815722845029921
+243.57	13.787136727353	3.1409409067571	0.807107064988716
+249.39	13.788036542264	3.14094195562923	0.815349513897162
+259.22	13.7889363574769	3.14094300372338	0.825257083672413
+268.31	13.7898361729914	3.14094405103956	0.810573421091313
+282.27	13.7907359888074	3.14094509757775	0.79140905835014
+304.68	13.7916358049245	3.14094614333796	0.731077447352307
+318.32	13.7925356213426	3.1409471883202	0.70324055653448
+303.74	13.7934354380614	3.14094823252444	0.720064330620401
+274.27	13.7943352550808	3.14094927595071	0.801800210635111
+278.16	13.7952350724004	3.14095031859899	0.8005439101844
+256.61	13.7961348900201	3.14095136046928	0.803983979016765
+262.39	13.7970347079397	3.14095240156158	0.817574311698427
+271.66	13.7979345261589	3.14095344187589	0.819285692350214
+278.58	13.7988343446775	3.14095448141222	0.777443370822113
+281.53	13.7997341634953	3.14095552017055	0.744257838764016
+272.48	13.800633982612	3.14095655815088	0.773071769231878
+232.68	13.7115544840717	3.13994555042585	0.819017207087203
+237.45	13.7124542720529	3.13994666432182	0.80175316608983
+237.5	13.7133540603548	3.13994777744016	0.806424315886974
+231.5	13.7142538489772	3.13994888978086	0.812503105708771
+229.77	13.7151536379198	3.13995000134391	0.818327676175989
+231.86	13.7160534271824	3.13995111212932	0.820012888336056
+229.16	13.7169532167648	3.13995222213708	0.828074193145869
+232.27	13.7178530066667	3.1399533313672	0.823304775556617
+236.21	13.7187527968879	3.13995443981967	0.805639519990542
+240.52	13.7196525874283	3.13995554749449	0.814286902538432
+238.81	13.7205523782875	3.13995665439165	0.821343541051851
+238.72	13.7214521694655	3.13995776051117	0.81939087154662
+236.01	13.7223519609618	3.13995886585303	0.82066731501861
+240.93	13.7232517527763	3.13995997041723	0.816104807891696
+241	13.7241515449089	3.13996107420378	0.818166098690894
+239.49	13.7250513373592	3.13996217721267	0.830435651128642
+240.78	13.725951130127	3.1399632794439	0.809658067926726
+247.75	13.7268509232122	3.13996438089747	0.797459529446015
+237.53	13.7277507166144	3.13996548157338	0.813101814091389
+248.38	13.7286505103335	3.13996658147162	0.799066826051749
+254.8	13.7295503043693	3.1399676805922	0.800879619264962
+255.88	13.7304500987215	3.13996877893512	0.805728839578536
+273.55	13.7313498933899	3.13996987650036	0.789886709811464
+251.82	13.7322496883742	3.13997097328794	0.824970996729349
+243.15	13.7331494836743	3.13997206929785	0.828401271849397
+227.43	13.7340492792899	3.13997316453008	0.823831895067693
+228.57	13.7349490752208	3.13997425898464	0.822454327755772
+237.01	13.7358488714668	3.13997535266153	0.820558109286548
+237.25	13.7367486680277	3.13997644556074	0.821478443650689
+222.58	13.7376484649031	3.13997753768228	0.823276384345087
+233.4	13.738548262093	3.13997862902613	0.829649414739007
+238.75	13.7394480595971	3.13997971959231	0.815410070319257
+221.84	13.7403478574151	3.13998080938081	0.806165978347695
+235.3	13.7412476555468	3.13998189839162	0.814896998640981
+240.65	13.7421474539921	3.13998298662475	0.801731664143659
+244.87	13.7430472527506	3.1399840740802	0.802162277800007
+245.02	13.7439470518222	3.13998516075795	0.794552796351093
+236.1	13.7448468512067	3.13998624665802	0.814778475576002
+236.32	13.7457466509037	3.13998733178041	0.812733021147135
+232.85	13.7466464509131	3.1399884161251	0.817084468770472
+235.12	13.7475462512347	3.1399894996921	0.816796306122219
+234.22	13.7484460518683	3.1399905824814	0.810156719522907
+229.01	13.7493458528135	3.13999166449301	0.81817972624175
+232.23	13.7502456540703	3.13999274572693	0.816981537140404
+237.99	13.7511454556383	3.13999382618315	0.829133308258557
+247.53	13.7520452575173	3.13999490586167	0.818997992537555
+241.32	13.7529450597072	3.13999598476249	0.814586539544311
+232.4	13.7538448622077	3.13999706288561	0.799935254127549
+243.53	13.7547446650186	3.13999814023103	0.799793372009855
+236.8	13.7556444681396	3.13999921679874	0.796349616301917
+231.41	13.7565442715705	3.14000029258875	0.806350472695361
+247.22	13.7574440753111	3.14000136760105	0.821546156324866
+244.34	13.7583438793612	3.14000244183565	0.82238368150966
+235.87	13.7592436837206	3.14000351529253	0.819872824105783
+241.15	13.7601434883889	3.14000458797171	0.821063849002077
+233.21	13.7610432933661	3.14000565987317	0.81175912939083
+227.14	13.7619430986519	3.14000673099692	0.816558863616668
+235.9	13.762842904246	3.14000780134296	0.809603072983355
+239.75	13.7637427101483	3.14000887091128	0.810879195371494
+239.42	13.7646425163584	3.14000993970188	0.803848150525064
+241.81	13.7655423228763	3.14001100771476	0.816828955988327
+240.93	13.7664421297016	3.14001207494993	0.806909374056476
+243.45	13.7673419368342	3.14001314140737	0.809623510892738
+244.5	13.7682417442737	3.1400142070871	0.804700338418363
+243.28	13.7691415520201	3.14001527198909	0.818772682530976
+247.86	13.770041360073	3.14001633611337	0.807059613822408
+248.71	13.7709411684323	3.14001739945991	0.815537863358637
+250.23	13.7718409770976	3.14001846202873	0.808799670866227
+255.48	13.7727407860689	3.14001952381983	0.815654972922421
+259.58	13.7736405953458	3.14002058483319	0.798516017969103
+247.44	13.7745404049282	3.14002164506882	0.830435611062268
+243.69	13.7754402148158	3.14002270452671	0.840836002500531
+255.48	13.7763400250084	3.14002376320688	0.840985101854667
+247.79	13.7772398355058	3.1400248211093	0.840222337092132
+245.38	13.7781396463077	3.14002587823399	0.82876728631614
+239.4	13.779039457414	3.14002693458095	0.818641944927036
+243.28	13.7799392688243	3.14002799015016	0.809002100594257
+247.33	13.7808390805386	3.14002904494163	0.830070889785473
+248.77	13.7817388925564	3.14003009895536	0.808049655407262
+244.94	13.7826387048778	3.14003115219135	0.80684265030579
+247.51	13.7835385175023	3.1400322046496	0.801881087274811
+264.97	13.7844383304298	3.14003325633009	0.799218203940045
+247.2	13.78533814366	3.14003430723284	0.808991949623594
+235.02	13.7862379571928	3.14003535735785	0.820990628583381
+245.59	13.7871377710279	3.1400364067051	0.818833286078821
+248.73	13.7880375851651	3.1400374552746	0.815088354740017
+258.2	13.7889373996042	3.14003850306635	0.803716222388687
+271.9	13.7898372143448	3.14003955008035	0.821570841761706
+267.87	13.7907370293869	3.14004059631659	0.801736558862468
+285.02	13.7916368447302	3.14004164177507	0.787446698715337
+277.18	13.7925366603745	3.1400426864558	0.814755113134684
+278.4	13.7934364763195	3.14004373035877	0.794617928492044
+272.49	13.794336292565	3.14004477348398	0.790492504207079
+277.33	13.7952361091108	3.14004581583143	0.77491871528552
+275.37	13.7961359259567	3.14004685740111	0.763524973879534
+276.95	13.7970357431024	3.14004789819303	0.751350489894982
+272.44	13.7979355605478	3.14004893820719	0.751014045118162
+267.71	13.7988353782925	3.14004997744358	0.759160257073547
+265.21	13.7997351963364	3.1400510159022	0.788835857460217
+268.35	13.8006350146793	3.14005205358305	0.751780611592101
+224.36	13.711555592423	3.13904107657968	0.825312392270539
+230.06	13.7124553796308	3.13904219015418	0.81932997242654
+228.47	13.7133551671592	3.13904330295126	0.821964478810233
+231.75	13.714254955008	3.13904441497093	0.814215357146876
+231.71	13.7151547431771	3.13904552621317	0.816365232526764
+228.34	13.7160545316662	3.139046636678	0.81083762917786
+228.22	13.7169543204751	3.13904774636541	0.809558869603359
+235.56	13.7178541096035	3.13904885527539	0.817394507551553
+231.65	13.7187538990512	3.13904996340795	0.812291392589874
+236.49	13.7196536888181	3.13905107076308	0.793422191160809
+231.89	13.7205534789038	3.13905217734079	0.79942824379428
+231.37	13.7214532693082	3.13905328314107	0.805073169135631
+227.71	13.722353060031	3.13905438816392	0.810900223531802
+231.4	13.7232528510721	3.13905549240934	0.81742096919586
+242.84	13.7241526424311	3.13905659587732	0.810611050688562
+242.1	13.7250524341079	3.13905769856788	0.812910887572651
+240.2	13.7259522261022	3.139058800481	0.823691696021642
+240.52	13.7268520184139	3.13905990161668	0.820295343763725
+240.23	13.7277518110426	3.13906100197492	0.814877070306372
+233.4	13.7286516039882	3.13906210155573	0.811135899524299
+239.07	13.7295513972504	3.13906320035909	0.812646709363318
+254.22	13.7304511908291	3.13906429838501	0.794415793595673
+258	13.7313509847239	3.13906539563349	0.806019221041983
+248.34	13.7322507789347	3.13906649210453	0.808046804612607
+246.74	13.7331505734613	3.13906758779812	0.794344778895848
+249.84	13.7340503683034	3.13906868271426	0.805821136076896
+227.08	13.7349501634608	3.13906977685295	0.819504162473699
+232.7	13.7358499589332	3.13907087021419	0.817981011284309
+227.43	13.7367497547205	3.13907196279799	0.824175988907002
+228.74	13.7376495508225	3.13907305460433	0.835215839695995
+242.6	13.7385493472388	3.13907414563321	0.810445871292343
+226.36	13.7394491439693	3.13907523588464	0.811119872206039
+237.49	13.7403489410138	3.13907632535862	0.80398283178857
+236.5	13.741248738372	3.13907741405513	0.810751440615694
+244.69	13.7421485360437	3.13907850197419	0.785729079102859
+244.69	13.7430483340287	3.13907958911579	0.806496869869221
+235.38	13.7439481323268	3.13908067547992	0.81492687270942
+239.78	13.7448479309377	3.13908176106659	0.810254893933191
+243.61	13.7457477298612	3.1390828458758	0.808674554887835
+224.28	13.746647529097	3.13908392990754	0.824474678423776
+232.48	13.7475473286451	3.13908501316181	0.815609903031848
+249.64	13.7484471285051	3.13908609563862	0.811159475263551
+250.14	13.7493469286768	3.13908717733795	0.804065354432008
+247.47	13.75024672916	3.13908825825981	0.820697809433455
+239.35	13.7511465299544	3.1390893384042	0.813090032129801
+243.85	13.7520463310599	3.13909041777112	0.789990219840966
+233.24	13.7529461324763	3.13909149636056	0.804747961104781
+234.35	13.7538459342032	3.13909257417253	0.792743341373991
+233.06	13.7547457362405	3.13909365120701	0.810578921406102
+229.34	13.7556455385879	3.13909472746402	0.811590443849435
+237.65	13.7565453412453	3.13909580294355	0.808261684659642
+246.3	13.7574451442123	3.13909687764559	0.818700542171846
+243.75	13.7583449474889	3.13909795157015	0.829371850856567
+245.18	13.7592447510746	3.13909902471723	0.814893517904687
+230.56	13.7601445549695	3.13910009708682	0.822093661894475
+231.44	13.7610443591731	3.13910116867892	0.813785622873552
+229.48	13.7619441636853	3.13910223949354	0.818840328695418
+232.33	13.7628439685058	3.13910330953066	0.813016537080159
+242.91	13.7637437736345	3.1391043787903	0.816439010938505
+243.89	13.7646435790711	3.13910544727244	0.80220596368693
+251.21	13.7655433848154	3.13910651497709	0.798279467388296
+244.66	13.7664431908671	3.13910758190424	0.798762644254185
+256.65	13.7673429972261	3.1391086480539	0.823407142620726
+245.26	13.7682428038921	3.13910971342605	0.818739680987507
+244.6	13.7691426108648	3.13911077802071	0.825603988841087
+250.64	13.7700424181442	3.13911184183787	0.795498662189812
+247.01	13.7709422257298	3.13911290487753	0.81353499122316
+255.33	13.7718420336216	3.13911396713968	0.80782454326869
+260.46	13.7727418418193	3.13911502862433	0.828602703375072
+241.08	13.7736416503227	3.13911608933147	0.815738861597405
+244.23	13.7745414591315	3.13911714926111	0.823436318310411
+242.07	13.7754412682455	3.13911820841324	0.831818181818182
+251.05	13.7763410776645	3.13911926678786	0.838074276321288
+242.32	13.7772408873883	3.13912032438497	0.837494698897371
+238.71	13.7781406974166	3.13912138120456	0.836521053409782
+236.34	13.7790405077493	3.13912243724665	0.818247936828356
+249.46	13.779940318386	3.13912349251121	0.812880041154548
+247.87	13.7808401293266	3.13912454699826	0.816097622009112
+246.69	13.7817399405709	3.1391256007078	0.803528067695525
+247.01	13.7826397521186	3.13912665363981	0.803837458698047
+247.22	13.7835395639695	3.13912770579431	0.800150045717054
+246.08	13.7844393761234	3.13912875717128	0.81582860725168
+238.94	13.7853391885801	3.13912980777074	0.818254059614035
+246.45	13.7862390013393	3.13913085759266	0.804139075391399
+253.03	13.7871388144008	3.13913190663707	0.806543990580907
+253.67	13.7880386277644	3.13913295490394	0.80686004290826
+249.73	13.7889384414298	3.13913400239329	0.806523691977867
+260.96	13.7898382553969	3.13913504910511	0.812684645971033
+266.9	13.7907380696653	3.1391360950394	0.799204935873222
+287.04	13.791637884235	3.13913714019615	0.803072585239617
+284.19	13.7925376991057	3.13913818457538	0.814969260229792
+285.81	13.793437514277	3.13913922817707	0.800829767162503
+277.58	13.7943373297489	3.13914027100122	0.805600097062228
+267.66	13.7952371455211	3.13914131304784	0.811653518134318
+260.51	13.7961369615934	3.13914235431692	0.810229405918728
+257.66	13.7970367779655	3.13914339480846	0.802281534533542
+268.06	13.7979365946372	3.13914443452246	0.805000728463497
+288.15	13.7988364116083	3.13914547345892	0.777530951342897
+272.55	13.7997362288786	3.13914651161783	0.772314105692698
+263.7	13.8006360464478	3.1391475489992	0.787861493003128
+229.89	13.7115567004534	3.13813660271744	0.818858285206575
+226.58	13.7124564868879	3.13813771597046	0.820934706348308
+232.63	13.713356273643	3.13813882844629	0.819206117989803
+236.09	13.7142560607186	3.13813994014493	0.822503621058066
+231.01	13.7151558481144	3.13814105106637	0.813911479362406
+234.04	13.7160556358302	3.13814216121062	0.822284270805615
+237.18	13.7169554238658	3.13814327057766	0.816943401858816
+233.73	13.717855212221	3.13814437916751	0.818472338443713
+233.13	13.7187550008954	3.13814548698017	0.806181161281904
+229.58	13.719654789889	3.13814659401562	0.813055381727159
+228.59	13.7205545792014	3.13814770027386	0.811415247761428
+232.46	13.7214543688326	3.13814880575491	0.812467166577814
+230.19	13.7223541587821	3.13814991045875	0.817843553091959
+232.33	13.7232539490498	3.13815101438538	0.808783756831146
+233.03	13.7241537396356	3.13815211753481	0.81592642595862
+237.88	13.7250535305391	3.13815321990702	0.807179878286043
+237.23	13.7259533217601	3.13815432150203	0.814435509122429
+241.49	13.7268531132984	3.13815542231982	0.803721744065071
+244.44	13.7277529051539	3.1381565223604	0.813684594049983
+242.55	13.7286526973262	3.13815762162377	0.80863157657776
+235.12	13.7295524898151	3.13815872010992	0.810529746845267
+235.84	13.7304522826205	3.13815981781885	0.823833821879637
+238.81	13.731352075742	3.13816091475056	0.815784265968459
+235.25	13.7322518691795	3.13816201090506	0.808520027022911
+245.77	13.7331516629328	3.13816310628233	0.808556770292555
+238.71	13.7340514570016	3.13816420088238	0.810393087501521
+227.44	13.7349512513856	3.1381652947052	0.81534075627992
+232.03	13.7358510460848	3.1381663877508	0.82329945269742
+236.88	13.7367508410988	3.13816748001918	0.807115646466655
+238.38	13.7376506364274	3.13816857151032	0.811817910001495
+241.39	13.7385504320704	3.13816966222424	0.800727718164345
+231.81	13.7394502280276	3.13817075216092	0.80595795199974
+232.8	13.7403500242988	3.13817184132037	0.803658360244855
+239.89	13.7412498208837	3.13817292970259	0.81127342702897
+235.72	13.7421496177821	3.13817401730758	0.813728537315696
+243.33	13.7430494149938	3.13817510413533	0.804090979661543
+247.27	13.7439492125185	3.13817619018584	0.799095870014046
+246.05	13.744849010356	3.13817727545911	0.80674304369739
+240.41	13.7457488085062	3.13817835995514	0.814335792010516
+231.12	13.7466486069688	3.13817944367393	0.817547111523015
+237.04	13.7475484057435	3.13818052661548	0.808434867004103
+237.15	13.7484482048302	3.13818160877978	0.819551348917901
+245.22	13.7493480042285	3.13818269016684	0.821167688994689
+249.54	13.7502478039384	3.13818377077665	0.80983454089975
+235.29	13.7511476039595	3.13818485060921	0.807583755602007
+248.7	13.7520474042917	3.13818592966452	0.784398330008432
+235.82	13.7529472049347	3.13818700794259	0.811588714258663
+231.36	13.7538470058883	3.1381880854434	0.805250897990659
+234.02	13.7547468071522	3.13818916216695	0.811398828487859
+239.05	13.7556466087263	3.13819023811325	0.817288301806103
+259.95	13.7565464106103	3.1381913132823	0.805137416921142
+256.4	13.7574462128041	3.13819238767409	0.815123274093856
+247.84	13.7583460153073	3.13819346128862	0.813112182996479
+250.8	13.7592458181197	3.13819453412588	0.807261681525589
+244.18	13.7601456212412	3.13819560618589	0.805268105485901
+236.53	13.7610454246714	3.13819667746864	0.812819390803067
+242.39	13.7619452284103	3.13819774797412	0.795362176465462
+235.39	13.7628450324575	3.13819881770233	0.80255224561891
+238.25	13.7637448368128	3.13819988665328	0.80739235222888
+248.62	13.7646446414761	3.13820095482696	0.80508753062078
+252.6	13.765544446447	3.13820202222337	0.80042879771717
+245.46	13.7664442517254	3.13820308884251	0.804440942570556
+244.46	13.767344057311	3.13820415468438	0.825530892998044
+247.5	13.7682438632036	3.13820521974897	0.811637772529276
+255.05	13.769143669403	3.13820628403629	0.790110990872117
+269.52	13.770043475909	3.13820734754634	0.771081051376095
+273.57	13.7709432827213	3.1382084102791	0.792775069572145
+257.96	13.7718430898397	3.13820947223459	0.811763580296886
+254.33	13.7727428972641	3.1382105334128	0.822716452661025
+252.69	13.7736427049941	3.13821159381373	0.798098833788155
+234.37	13.7745425130295	3.13821265343737	0.817020610567544
+228.08	13.7754423213701	3.13821371228373	0.833512954261327
+230.18	13.7763421300158	3.13821477035281	0.823183067121592
+232.78	13.7772419389662	3.1382158276446	0.819775679546598
+224.11	13.7781417482211	3.1382168841591	0.83926467287622
+235.63	13.7790415577804	3.13821793989631	0.811083288641616
+251.61	13.7799413676438	3.13821899485623	0.817419868017912
+257.56	13.7808411778111	3.13822004903886	0.821134119702927
+252.35	13.781740988282	3.1382211024442	0.800978730111135
+243.51	13.7826407990563	3.13822215507225	0.806230702705241
+247.28	13.7835406101338	3.13822320692299	0.803272958010844
+240.96	13.7844404215144	3.13822425799644	0.813126129714163
+241.49	13.7853402331976	3.1382253082926	0.817119832926843
+246.54	13.7862400451834	3.13822635781145	0.815850739416992
+247.11	13.7871398574715	3.138227406553	0.8052735395897
+252.1	13.7880396700617	3.13822845451725	0.806861366288638
+255.3	13.7889394829538	3.1382295017042	0.817689676627846
+252.29	13.7898392961475	3.13823054811384	0.807081570636954
+272.55	13.7907391096426	3.13823159374618	0.807042058145869
+282.07	13.7916389234388	3.13823263860121	0.792961329601214
+288.2	13.7925387375361	3.13823368267893	0.812994713730317
+293.88	13.7934385519341	3.13823472597934	0.795080394489428
+269.38	13.7943383666326	3.13823576850244	0.800195696746109
+266.17	13.7952381816314	3.13823681024823	0.795717322926375
+258.42	13.7961379969302	3.13823785121671	0.83017179557152
+247.86	13.7970378125289	3.13823889140787	0.788592541743221
+249.51	13.7979376284273	3.13823993082171	0.798372801576981
+262.01	13.798837444625	3.13824096945824	0.796031535376868
+261.34	13.7997372611219	3.13824200731744	0.78210931183267
+262.15	13.8006370779177	3.13824304439933	0.801602879207384
+250.26	13.711557808163	3.13723212883914	0.816118140303511
+240.41	13.7124575938244	3.13723324177068	0.817272242824983
+234.52	13.7133573798065	3.13723435392526	0.8307832734725
+231.64	13.714257166109	3.13723546530286	0.822513869028457
+228.43	13.7151569527317	3.1372365759035	0.814964839573236
+235.54	13.7160567396745	3.13723768572717	0.816486110136405
+244.01	13.716956526937	3.13723879477386	0.824000489472933
+239.04	13.7178563145191	3.13723990304358	0.817114666086262
+237.23	13.7187561024205	3.13724101053632	0.789140572951366
+225.96	13.719655890641	3.13724211725209	0.810785552413613
+221.62	13.7205556791804	3.13724322319088	0.830164982801093
+233.7	13.7214554680385	3.13724432835269	0.813461727127969
+229.34	13.7223552572149	3.13724543273752	0.815708515742014
+235.17	13.7232550467096	3.13724653634537	0.806284142110929
+231.18	13.7241548365223	3.13724763917623	0.812335687907018
+238.01	13.7250546266527	3.13724874123011	0.811842125077176
+240.64	13.7259544171007	3.137249842507	0.81054695632753
+236.71	13.7268542078659	3.13725094300691	0.815871304308208
+242.71	13.7277539989483	3.13725204272983	0.809387335542028
+231.2	13.7286537903475	3.13725314167575	0.811364409663151
+242.7	13.7295535820634	3.13725423984469	0.81321621409834
+238.98	13.7304533740956	3.13725533723663	0.817026569360567
+246.86	13.7313531664441	3.13725643385158	0.817129108561602
+245.96	13.7322529591085	3.13725752968953	0.812249043326865
+240.35	13.7331527520887	3.13725862475049	0.811833361570754
+233.97	13.7340525453844	3.13725971903444	0.810949529512404
+225.52	13.7349523389954	3.1372608125414	0.809122618509791
+231.96	13.7358521329215	3.13726190527136	0.79703085986987
+228.61	13.7367519271624	3.13726299722431	0.815331352376167
+230.82	13.7376517217179	3.13726408840026	0.816887776322285
+232.43	13.7385515165879	3.13726517879921	0.821068886294301
+237.68	13.739451311772	3.13726626842115	0.805474181626609
+240.62	13.7403511072701	3.13726735726608	0.805693603938433
+238.39	13.7412509030819	3.13726844533401	0.81821831347156
+240.78	13.7421506992072	3.13726953262492	0.820859801297692
+243.12	13.7430504956457	3.13727061913882	0.810379924970745
+235.13	13.7439502923974	3.13727170487571	0.81771672831034
+242.64	13.7448500894618	3.13727278983558	0.809321528647231
+235.9	13.7457498868389	3.13727387401844	0.809659529767974
+232.54	13.7466496845284	3.13727495742428	0.830757693628533
+238.08	13.74754948253	3.1372760400531	0.822403409617345
+251.01	13.7484492808435	3.1372771219049	0.814164269414163
+247.67	13.7493490794688	3.13727820297968	0.806308130929939
+236.32	13.7502488784056	3.13727928327744	0.806505531059979
+235.98	13.7511486776536	3.13728036279818	0.809006038896198
+233.96	13.7520484772127	3.13728144154189	0.801893705251696
+240.61	13.7529482770825	3.13728251950857	0.813561528191511
+240.74	13.753848077263	3.13728359669823	0.815696360716958
+245.33	13.7547478777538	3.13728467311085	0.814400702684023
+253.21	13.7556476785548	3.13728574874645	0.811458882874549
+251.97	13.7565474796657	3.13728682360501	0.795452862904011
+247.42	13.7574472810863	3.13728789768654	0.821586319377848
+247.28	13.7583470828164	3.13728897099104	0.813362323113207
+247.46	13.7592468848557	3.1372900435185	0.802499685131541
+236.69	13.7601466872041	3.13729111526893	0.814648088603072
+234.27	13.7610464898612	3.13729218624231	0.807666602073059
+236.49	13.761946292827	3.13729325643866	0.813514989289274
+239.67	13.762846096101	3.13729432585796	0.80271470569838
+245.22	13.7637458996832	3.13729539450023	0.807375627226772
+242.72	13.7646457035734	3.13729646236545	0.822615045367458
+248.77	13.7655455077711	3.13729752945362	0.796955627387599
+245.41	13.7664453122764	3.13729859576475	0.794522898891831
+241.96	13.7673451170889	3.13729966129883	0.806059419067133
+256.86	13.7682449222084	3.13730072605586	0.794332052332537
+262.66	13.7691447276347	3.13730179003584	0.811308541282325
+273.06	13.7700445333675	3.13730285323877	0.79153804520259
+259.12	13.7709443394067	3.13730391566465	0.80998723150489
+252.74	13.771844145752	3.13730497731347	0.804530860769691
+249.77	13.7727439524031	3.13730603818524	0.820913755191791
+245.78	13.77364375936	3.13730709827995	0.806893140478941
+231.27	13.7745435666223	3.13730815759761	0.806600678664729
+221.77	13.7754433741898	3.1373092161382	0.824567672969655
+225.54	13.7763431820623	3.13731027390173	0.817039842738649
+233.77	13.7772429902395	3.1373113308882	0.820924222379473
+234.15	13.7781427987214	3.13731238709761	0.81979418745796
+238.41	13.7790426075075	3.13731344252995	0.82646077681066
+246.63	13.7799424165977	3.13731449718523	0.815484736106429
+255.24	13.7808422259918	3.13731555106344	0.812663256619397
+253.09	13.7817420356896	3.13731660416458	0.806262449920544
+243.76	13.7826418456908	3.13731765648865	0.808094020264335
+245.95	13.7835416559951	3.13731870803565	0.801941324026611
+244.91	13.7844414666025	3.13731975880558	0.811385849520531
+251.83	13.7853412775126	3.13732080879844	0.807534816876347
+248.55	13.7862410887253	3.13732185801422	0.807324921703023
+241.05	13.7871409002402	3.13732290645292	0.815202826166403
+247.39	13.7880407120572	3.13732395411455	0.825627267880789
+247.72	13.7889405241761	3.13732500099909	0.815657999726837
+257.78	13.7898403365967	3.13732604710656	0.804269123562011
+265.95	13.7907401493186	3.13732709243695	0.793395446439495
+259.01	13.7916399623417	3.13732813699025	0.796152173587056
+262.12	13.7925397756658	3.13732918076647	0.820368478296694
+265.29	13.7934395892906	3.1373302237656	0.808970707679866
+252.95	13.7943394032159	3.13733126598765	0.811640606307967
+255.59	13.7952392174416	3.13733230743261	0.800883260100381
+252.48	13.7961390319672	3.13733334810048	0.816111609577594
+244.5	13.7970388467928	3.13733438799126	0.801221565637311
+245.6	13.7979386619179	3.13733542710494	0.808786235562069
+266.91	13.7988384773425	3.13733646544154	0.797219656968834
+262.37	13.7997382930662	3.13733750300104	0.795978424420776
+260.46	13.8006381090888	3.13733853978344	0.81392920677673
+247.36	13.7115589155516	3.13632765494478	0.803467749496931
+244.2	13.7124587004402	3.13632876755484	0.807612724919756
+237.51	13.7133584856494	3.13632987938816	0.818840112593738
+232.06	13.7142582711791	3.13633099044474	0.836495650387013
+236.08	13.7151580570291	3.13633210072457	0.810475887493684
+239.91	13.716057843199	3.13633321022766	0.82317673761295
+238.93	13.7169576296887	3.136334318954	0.836308792752783
+233.18	13.7178574164979	3.13633542690358	0.815543986279125
+229.87	13.7187572036265	3.13633653407642	0.795492438523732
+226.09	13.7196569910742	3.13633764047251	0.816695936699193
+226.17	13.7205567788407	3.13633874609184	0.821925925925926
+233.44	13.7214565669259	3.13633985093441	0.824343315802437
+236.13	13.7223563553296	3.13634095500023	0.820511715439095
+237.04	13.7232561440514	3.1363420582893	0.816798824191178
+230.71	13.7241559330912	3.1363431608016	0.814364597915694
+233.02	13.7250557224488	3.13634426253714	0.808266792292984
+235.44	13.7259555121239	3.13634536349593	0.818509539291154
+240.38	13.7268553021163	3.13634646367795	0.808049512179436
+240.35	13.7277550924258	3.1363475630832	0.813868071529272
+239.48	13.7286548830522	3.13634866171169	0.813759808253154
+239.59	13.7295546739952	3.13634975956341	0.807869187531937
+230.28	13.7304544652546	3.13635085663836	0.813223317192529
+241.13	13.7313542568303	3.13635195293655	0.809511649156688
+233.26	13.7322540487218	3.13635304845796	0.812304837850108
+226.5	13.7331538409292	3.1363541432026	0.810209471437358
+227.81	13.734053633452	3.13635523717047	0.812428380443086
+231.38	13.7349534262901	3.13635633036156	0.817116377332886
+231.82	13.7358532194433	3.13635742277587	0.802467020729827
+235.34	13.7367530129114	3.13635851441341	0.800359077812082
+236.91	13.7376528066941	3.13635960527416	0.801826973076595
+234.85	13.7385526007911	3.13636069535814	0.80739996230919
+239.53	13.7394523952024	3.13636178466534	0.801519114443734
+231.49	13.7403521899276	3.13636287319575	0.804887455156816
+238.95	13.7412519849665	3.13636396094937	0.80378322051021
+234.63	13.7421517803189	3.13636504792622	0.800528912957552
+237.57	13.7430515759847	3.13636613412627	0.816817497939773
+248.33	13.7439513719634	3.13636721954953	0.802610114192496
+244.63	13.744851168255	3.13636830419601	0.810977214124086
+246.52	13.7457509648592	3.13636938806569	0.807052135514073
+246.52	13.7466507617758	3.13637047115858	0.82483283713212
+250.77	13.7475505590045	3.13637155347468	0.808630829363094
+247.92	13.7484503565452	3.13637263501398	0.79940182788054
+241.39	13.7493501543976	3.13637371577649	0.804652091444544
+238.41	13.7502499525615	3.1363747957622	0.802966207136814
+234.52	13.7511497510366	3.1363758749711	0.801865530458815
+238.16	13.7520495498228	3.13637695340321	0.800204172106511
+240.72	13.7529493489198	3.13637803105852	0.810564896066951
+244.12	13.7538491483274	3.13637910793702	0.813531388608239
+246.2	13.7547489480453	3.13638018403872	0.817654729521299
+252.97	13.7556487480734	3.13638125936361	0.801001659329752
+252.12	13.7565485484114	3.13638233391169	0.797862988021424
+261.59	13.7574483490591	3.13638340768297	0.811029373035799
+260.27	13.7583481500163	3.13638448067743	0.792680876501466
+250.91	13.7592479512827	3.13638555289509	0.81459107971717
+255.12	13.7601477528582	3.13638662433593	0.795091409392377
+243.49	13.7610475547424	3.13638769499996	0.801883811094753
+234.44	13.7619473569353	3.13638876488717	0.809833236822367
+235.34	13.7628471594364	3.13638983399757	0.810779231092103
+241.21	13.7637469622457	3.13639090233114	0.817867885803642
+239.97	13.764646765363	3.1363919698879	0.8235028643388
+246.24	13.7655465687878	3.13639303666784	0.810743565689114
+246.91	13.7664463725202	3.13639410267096	0.814693046687365
+248.31	13.7673461765598	3.13639516789725	0.811226875666374
+267.86	13.7682459809064	3.13639623234672	0.792498615740792
+267.21	13.7691457855597	3.13639729601937	0.809888258503009
+267.72	13.7700455905197	3.13639835891518	0.815401465419835
+254.25	13.7709453957859	3.13639942103417	0.810925454612519
+251.13	13.7718452013583	3.13640048237633	0.813656251971543
+240.91	13.7727450072366	3.13640154294166	0.813600058451871
+245.15	13.7736448134205	3.13640260273015	0.807888819201175
+231.65	13.7745446199099	3.13640366174181	0.814202465387322
+227.49	13.7754444267044	3.13640471997664	0.82384378368873
+238.07	13.776344233804	3.13640577743463	0.817516834345483
+243.78	13.7772440412084	3.13640683411578	0.820450141600835
+244.78	13.7781438489173	3.1364078900201	0.811334281428377
+235.48	13.7790436569305	3.13640894514757	0.832978458251736
+243.09	13.7799434652478	3.13640999949821	0.816998889474688
+250.4	13.780843273869	3.136411053072	0.811458701073897
+248.71	13.7817430827938	3.13641210586894	0.817659050555681
+244.94	13.782642892022	3.13641315788904	0.8013608189769
+240.84	13.7835427015535	3.1364142091323	0.812955789620915
+248.78	13.7844425113879	3.1364152595987	0.79363715899149
+255.64	13.7853423215251	3.13641630928826	0.786620948864198
+259.22	13.7862421319648	3.13641735820097	0.80305692587065
+244.38	13.7871419427068	3.13641840633682	0.802071221071544
+246.66	13.7880417537509	3.13641945369582	0.822189364735703
+240.25	13.7889415650969	3.13642050027797	0.820034043052723
+256.47	13.7898413767444	3.13642154608326	0.79910969234599
+251.28	13.7907411886934	3.13642259111169	0.804628474614139
+263.09	13.7916410009436	3.13642363536327	0.790412214669623
+259.25	13.7925408134947	3.13642467883799	0.793313712970974
+250.81	13.7934406263466	3.13642572153584	0.805248316013569
+251.98	13.794340439499	3.13642676345684	0.812308138979078
+245.76	13.7952402529517	3.13642780460097	0.800238140964087
+246.12	13.7961400667044	3.13642884496823	0.80825855513308
+244.62	13.797039880757	3.13642988455863	0.811238348460062
+256.29	13.7979396951092	3.13643092337217	0.795436741088915
+252.9	13.7988395097608	3.13643196140883	0.81175251127419
+260.96	13.7997393247115	3.13643299866862	0.807503860732837
+269.68	13.8006391399612	3.13643403515155	0.828164564741746
+237.47	13.7115600226193	3.13542318103436	0.817792799326931
+238.37	13.7124598067353	3.13542429332295	0.814697944623493
+237.88	13.713359591172	3.13542540483502	0.823897438762115
+234.26	13.7142593759291	3.13542651557056	0.813457665050354
+234.01	13.7151591610064	3.13542762552959	0.827977471364787
+240.22	13.7160589464037	3.1354287347121	0.817661087534494
+239.32	13.7169587321208	3.13542984311808	0.831073787686438
+227.79	13.7178585181574	3.13543095074754	0.816669295974081
+227.44	13.7187583045134	3.13543205760047	0.819413479677585
+237.93	13.7196580911884	3.13543316367687	0.814585801067148
+237.39	13.7205578781824	3.13543426897674	0.798285103557722
+236.42	13.721457665495	3.13543537350009	0.815471041035477
+240.34	13.722357453126	3.1354364772469	0.809484329147894
+237.49	13.7232572410752	3.13543758021718	0.81623934712996
+238.52	13.7241570293424	3.13543868241092	0.814640322187499
+232.7	13.7250568179274	3.13543978382813	0.820308417062309
+232.4	13.7259566068299	3.1354408844688	0.810863615540929
+230.39	13.7268563960497	3.13544198433293	0.809548147287722
+236.82	13.7277561855865	3.13544308342053	0.826871300612854
+242.5	13.7286559754403	3.13544418173158	0.820002793986481
+237.67	13.7295557656107	3.13544527926609	0.809577099548891
+239.45	13.7304555560975	3.13544637602405	0.803569094258155
+233.44	13.7313553469004	3.13544747200547	0.817294098560756
+230.29	13.7322551380194	3.13544856721034	0.814527444325854
+230.49	13.7331549294541	3.13544966163867	0.809955674907443
+225.32	13.7340547212043	3.13545075529044	0.819185343089244
+229.07	13.7349545132698	3.13545184816567	0.812665520240199
+231.12	13.7358543056504	3.13545294026434	0.810306474560018
+234.51	13.7367540983458	3.13545403158646	0.810386721489996
+237.99	13.7376538913558	3.13545512213202	0.81756099010931
+243.61	13.7385536846802	3.13545621190103	0.81465116022384
+235.08	13.7394534783188	3.13545730089348	0.815171585671238
+233.58	13.7403532722714	3.13545838910937	0.812889076139814
+237.01	13.7412530665377	3.1354594765487	0.81401102677276
+241.17	13.7421528611175	3.13546056321147	0.808717592980798
+232.35	13.7430526560105	3.13546164909768	0.816868799926404
+244.75	13.7439524512166	3.13546273420733	0.813807454466577
+244.99	13.7448522467356	3.1354638185404	0.81535766858591
+259.21	13.7457520425671	3.13546490209691	0.806792252776972
+262.72	13.7466518387111	3.13546598487686	0.792133906247661
+237.02	13.7475516351671	3.13546706688023	0.802715638711881
+235.95	13.7484514319352	3.13546814810703	0.804125857852643
+245.53	13.7493512290149	3.13546922855726	0.794143125270706
+237.75	13.7502510264061	3.13547030823092	0.815270209727014
+246.4	13.7511508241086	3.135471387128	0.799694303171507
+232.58	13.7520506221221	3.1354724652485	0.803981935990575
+242.72	13.7529504204464	3.13547354259243	0.807674300874311
+247.22	13.7538502190814	3.13547461915978	0.813281648915131
+243.52	13.7547500180266	3.13547569495055	0.812098421816244
+248.45	13.7556498172821	3.13547676996474	0.795738641963142
+264.05	13.7565496168474	3.13547784420234	0.784515434620165
+268.06	13.7574494167224	3.13547891766336	0.801914053559167
+254.23	13.758349216907	3.1354799903478	0.796128974110543
+250.47	13.7592490174007	3.13548106225564	0.802258839609301
+248.78	13.7601488182035	3.1354821333869	0.805945011432714
+238.99	13.7610486193151	3.13548320374157	0.804237995179532
+233.39	13.7619484207352	3.13548427331965	0.823700916647304
+234.91	13.7628482224637	3.13548534212114	0.823996594145453
+241.68	13.7637480245004	3.13548641014604	0.815796324256781
+241.21	13.7646478268449	3.13548747739433	0.810721366420088
+253.02	13.7655476294971	3.13548854386604	0.809993986681613
+247.72	13.7664474324568	3.13548960956114	0.81434061342014
+255.19	13.7673472357237	3.13549067447965	0.820815086925541
+268.61	13.7682470392976	3.13549173862156	0.798770889487871
+264.71	13.7691468431782	3.13549280198687	0.807754986095745
+258.97	13.7700466473655	3.13549386457557	0.796331919469502
+242.7	13.7709464518591	3.13549492638767	0.81324981379982
+243.65	13.7718462566587	3.13549598742316	0.801717803045268
+243.89	13.7727460617643	3.13549704768205	0.79834701331663
+228.15	13.7736458671755	3.13549810716433	0.816949828110209
+231.63	13.7745456728922	3.13549916587	0.827808218676681
+234.67	13.7754454789141	3.13550022379906	0.822385687077278
+235.44	13.776345285241	3.13550128095151	0.815976588487289
+248.1	13.7772450918726	3.13550233732735	0.805755423379723
+248.01	13.7781448988088	3.13550339292657	0.810056896107938
+250.37	13.7790447060493	3.13550444774917	0.812115201077905
+240.57	13.7799445135939	3.13550550179516	0.803519296782266
+241.9	13.7808443214424	3.13550655506453	0.809013132715035
+237.9	13.7817441295945	3.13550760755728	0.820068611911087
+248.55	13.7826439380501	3.13550865927341	0.820728311291927
+244.63	13.7835437468088	3.13550971021292	0.812893586822545
+250.24	13.7844435558706	3.13551076037581	0.810383275781058
+246.3	13.785343365235	3.13551180976207	0.806937974993871
+252.6	13.786243174902	3.1355128583717	0.811185279522199
+247.91	13.7871429848713	3.13551390620471	0.818482179331895
+247.68	13.7880427951427	3.13551495326108	0.818427670481171
+243.48	13.7889426057159	3.13551599954083	0.826710200389885
+250.1	13.7898424165908	3.13551704504395	0.799601528112918
+250.08	13.7907422277671	3.13551808977043	0.814511764833214
+239.88	13.7916420392445	3.13551913372028	0.820262798671885
+238.27	13.7925418510229	3.1355201768935	0.828213166144201
+260.31	13.7934416631021	3.13552121929008	0.786496509021354
+275.21	13.7943414754818	3.13552226091002	0.778814869118653
+259.04	13.7952412881617	3.13552330175332	0.801867446062438
+249.28	13.7961411011417	3.13552434181998	0.799543097796937
+250.27	13.7970409144216	3.13552538111	0.799476102480219
+245.62	13.7979407280011	3.13552641962338	0.807147258163894
+258.55	13.7988405418799	3.13552745736012	0.807545780282967
+262.13	13.7997403560579	3.13552849432021	0.811296371636336
+257.86	13.8006401705349	3.13552953050365	0.814476110937119
+228.7	13.7115611293662	3.13451870710789	0.825419208709312
+238.65	13.7124609127098	3.134519819075	0.807277593064158
+233.9	13.713360696374	3.13452093026582	0.820848511609081
+240.05	13.7142604803588	3.13452204068034	0.815557974638854
+230.34	13.7151602646637	3.13452315031856	0.811712682838551
+236.47	13.7160600492886	3.13452425918049	0.823319659655887
+241.16	13.7169598342333	3.13452536726612	0.81775782407811
+241.3	13.7178596194976	3.13452647457544	0.814240828493375
+237.04	13.7187594050812	3.13452758110847	0.822610815399844
+234.41	13.7196591909838	3.13452868686519	0.812262251062878
+237.44	13.7205589772054	3.13452979184561	0.807015164869935
+229.96	13.7214587637456	3.13453089604972	0.81468899723102
+233.38	13.7223585506042	3.13453199947752	0.8211276875025
+232.72	13.723258337781	3.13453310212902	0.821469103724278
+240.8	13.7241581252758	3.1345342040042	0.821074518650383
+241.41	13.7250579130884	3.13453530510307	0.81639967553699
+236.1	13.7259577012185	3.13453640542564	0.8176900089797
+238.19	13.7268574896659	3.13453750497188	0.821522155807127
+235.16	13.7277572784304	3.13453860374181	0.829514801553628
+235.41	13.7286570675117	3.13453970173543	0.819454958364875
+248.95	13.7295568569097	3.13454079895272	0.798297319996946
+238.24	13.7304566466241	3.1345418953937	0.804794978487096
+230.74	13.7313564366547	3.13454299105836	0.818650082755434
+238.95	13.7322562270012	3.13454408594669	0.799427003962207
+228.91	13.7331560176635	3.1345451800587	0.803962409991457
+232.39	13.7340558086413	3.13454627339438	0.804295642181978
+228.89	13.7349555999344	3.13454736595374	0.814315232280083
+228.84	13.7358553915425	3.13454845773677	0.812404692756266
+246.58	13.7367551834655	3.13454954874347	0.797938112639147
+230.09	13.7376549757031	3.13455063897385	0.813782773248568
+239.05	13.7385547682552	3.13455172842789	0.815866768597127
+245.25	13.7394545611213	3.13455281710559	0.808601162685623
+232.82	13.7403543543015	3.13455390500696	0.812084889590398
+237.53	13.7412541477953	3.134554992132	0.810699812331711
+236.2	13.7421539416027	3.1345560784807	0.816120718074744
+230.11	13.7430537357233	3.13455716405306	0.820390961262554
+241.64	13.743953530157	3.13455824884908	0.810153109719089
+248.66	13.7448533249035	3.13455933286876	0.809466924381096
+256.99	13.7457531199627	3.1345604161121	0.809488400805314
+248.07	13.7466529153342	3.1345614985791	0.79713414584304
+239.72	13.7475527110178	3.13456258026974	0.797875840220945
+238.24	13.7484525070134	3.13456366118405	0.81775766200724
+251.06	13.7493523033207	3.134564741322	0.813365006481891
+251.42	13.7502520999395	3.13456582068361	0.815558312026935
+249.15	13.7511518968695	3.13456689926886	0.808645030695695
+252.77	13.7520516941106	3.13456797707777	0.79539678481736
+246.47	13.7529514916625	3.13456905411032	0.805771984025318
+250.9	13.753851289525	3.13457013036651	0.812352830706557
+244.13	13.7547510876978	3.13457120584636	0.810028830313015
+242.95	13.7556508861808	3.13457228054984	0.804953956684881
+249.55	13.7565506849737	3.13457335447696	0.803957572177342
+259.98	13.7574504840763	3.13457442762773	0.803924872174283
+259.04	13.7583502834884	3.13457550000213	0.80562847689343
+238.16	13.7592500832097	3.13457657160018	0.817003248551625
+235.58	13.76014988324	3.13457764242185	0.815781512996129
+243.68	13.7610496835791	3.13457871246717	0.81129976647708
+238.81	13.7619494842268	3.13457978173611	0.820617251108122
+242.76	13.7628492851829	3.13458085022869	0.816346399446211
+251.68	13.7637490864471	3.1345819179449	0.804546130300039
+255.13	13.7646488880191	3.13458298488475	0.813868494983759
+256.74	13.7655486898989	3.13458405104821	0.813363395731658
+255.8	13.7664484920861	3.13458511643531	0.820561168491262
+256.29	13.7673482945805	3.13458618104603	0.814982233073074
+254.96	13.768248097382	3.13458724488038	0.799918669186918
+261.2	13.7691479004902	3.13458830793835	0.803835250708704
+254.08	13.770047703905	3.13458937021994	0.81126651598125
+246.05	13.7709475076261	3.13459043172515	0.806443917754248
+246.64	13.7718473116533	3.13459149245398	0.809267266118232
+241.7	13.7727471159864	3.13459255240643	0.809162509423974
+238.3	13.7736469206252	3.1345936115825	0.821992483324492
+232.67	13.7745467255694	3.13459466998217	0.823058621601223
+236.37	13.7754465308188	3.13459572760547	0.820011477137617
+243.94	13.7763463363732	3.13459678445238	0.824194460146976
+245.77	13.7772461422324	3.1345978405229	0.817241570643831
+255.49	13.7781459483961	3.13459889581702	0.817268989396235
+262.55	13.7790457548641	3.13459995033476	0.805931800629715
+240.98	13.7799455616363	3.13460100407611	0.816920500757515
+241.39	13.7808453687122	3.13460205704106	0.820674793015092
+238.63	13.7817451760919	3.13460310922962	0.828600359000322
+251.5	13.782644983775	3.13460416064178	0.822452519110121
+242.65	13.7835447917612	3.13460521127754	0.812045769658556
+249.52	13.7844446000505	3.1346062611369	0.806942433855915
+247.38	13.7853444086424	3.13460731021986	0.806843892478107
+255.54	13.7862442175369	3.13460835852643	0.804151439403724
+248.55	13.7871440267338	3.13460940605659	0.801146411366547
+239.88	13.7880438362326	3.13461045281034	0.821420129363141
+237.71	13.7889436460334	3.13461149878769	0.824383837374465
+242.73	13.7898434561358	3.13461254398863	0.808878950528825
+236.71	13.7907432665396	3.13461358841317	0.814515406664278
+235.77	13.7916430772445	3.13461463206129	0.823648896624649
+237.22	13.7925428882504	3.134615674933	0.821256939884186
+255.6	13.7934426995571	3.13461671702831	0.81120474597992
+267.14	13.7943425111643	3.1346177583472	0.7932454910756
+249.81	13.7952423230717	3.13461879888967	0.811401530555658
+247.04	13.7961421352792	3.13461983865573	0.797026986184791
+252.21	13.7970419477866	3.13462087764537	0.806993079803513
+247.93	13.7979417605935	3.1346219158586	0.798599564051619
+257.26	13.7988415736999	3.1346229532954	0.805911812274778
+247.23	13.7997413871054	3.13462398995578	0.825928226626457
+248.91	13.8006412008099	3.13462502583974	0.821947449768161
+228.65	13.7115622357921	3.13361423316538	0.814793962718165
+235.12	13.7124620183636	3.13361534481101	0.806930577496245
+237.76	13.7133618012557	3.13361645568057	0.813021628427844
+235.13	13.7142615844683	3.13361756577407	0.815648614021523
+231.86	13.715161368001	3.13361867509149	0.819677034597106
+236.17	13.7160611518538	3.13361978363284	0.819558019501925
+248.37	13.7169609360263	3.13362089139811	0.808304555946501
+237.67	13.7178607205184	3.13362199838731	0.814938569886393
+235.84	13.7187605053298	3.13362310460043	0.821802797620348
+233.92	13.7196602904604	3.13362421003747	0.820423929529374
+236.44	13.7205600759097	3.13362531469843	0.817508624667648
+238.1	13.7214598616778	3.13362641858331	0.819752143430259
+235.91	13.7223596477642	3.1336275216921	0.820269003522327
+238.99	13.7232594341689	3.13362862402481	0.823537749555283
+238.23	13.7241592208915	3.13362972558144	0.813625643831481
+235.95	13.7250590079319	3.13363082636198	0.81559828656615
+232.84	13.7259587952898	3.13363192636643	0.823700314342578
+238.74	13.726858582965	3.13363302559479	0.812588558520974
+236.09	13.7277583709573	3.13363412404706	0.825621682942602
+243.23	13.7286581592665	3.13363522172324	0.812937344318835
+250.76	13.7295579478923	3.13363631862332	0.809391933009507
+245.49	13.7304577368345	3.13363741474731	0.817252815335836
+231.38	13.7313575260929	3.13363851009521	0.807752530695743
+229.5	13.7322573156673	3.133639604667	0.81141682794948
+231.72	13.7331571055574	3.13364069846269	0.821641328520909
+222.86	13.734056895763	3.13364179148229	0.825686249972395
+228.5	13.7349566862839	3.13364288372578	0.827010883611406
+227.57	13.7358564771198	3.13364397519317	0.818971623895746
+229.49	13.7367562682707	3.13364506588446	0.811881303290798
+238.61	13.7376560597361	3.13364615579964	0.813424404272802
+243.7	13.7385558515159	3.13364724493871	0.815801555192104
+239.47	13.7394556436099	3.13364833330167	0.816900370091859
+240.97	13.7403554360178	3.13364942088853	0.804890028087732
+243.36	13.7412552287395	3.13365050769927	0.81368745427539
+246.39	13.7421550217747	3.1336515937339	0.80685093988349
+242.18	13.7430548151231	3.13365267899241	0.811822338825029
+246.31	13.7439546087846	3.13365376347481	0.808262496517765
+242.3	13.7448544027589	3.1336548471811	0.824042991290195
+251.7	13.7457541970458	3.13365593011126	0.806028853226848
+242.52	13.7466539916451	3.13365701226531	0.799765175245083
+237.19	13.7475537865566	3.13365809364324	0.805130768345849
+243.9	13.7484535817799	3.13365917424504	0.812113730091692
+250.44	13.749353377315	3.13366025407072	0.811619891320568
+249.42	13.7502531731616	3.13366133312028	0.822849780256632
+250.27	13.7511529693194	3.13366241139371	0.819813382072036
+246.46	13.7520527657883	3.13366348889101	0.819080124899432
+246.81	13.752952562568	3.13366456561218	0.810886090640051
+244.49	13.7538523596582	3.13366564155723	0.810847328215704
+247.02	13.7547521570589	3.13366671672614	0.808363155204042
+238.36	13.7556519547696	3.13366779111892	0.801889741062198
+236.82	13.7565517527903	3.13366886473557	0.806572623187839
+250.16	13.7574515511207	3.13366993757608	0.805554505951256
+251.01	13.7583513497605	3.13367100964045	0.808353987994707
+243.59	13.7592511487096	3.13367208092869	0.813902642433714
+238.38	13.7601509479677	3.13367315144079	0.813804446023056
+241.61	13.7610507475346	3.13367422117674	0.809329432667565
+236.21	13.7619505474101	3.13367529013656	0.814327042500985
+247.63	13.7628503475939	3.13367635832023	0.794422004539577
+245.73	13.7637501480859	3.13367742572776	0.802808154555986
+256.59	13.7646499488857	3.13367849235914	0.814940092626291
+265.46	13.7655497499932	3.13367955821437	0.808936633971664
+274.5	13.7664495514082	3.13368062329346	0.824882960183163
+282.46	13.7673493531304	3.1336816875964	0.809901076230955
+265.86	13.7682491551596	3.13368275112318	0.825079751373039
+259	13.7691489574956	3.13368381387381	0.800261779075755
+256.53	13.7700487601381	3.13368487584829	0.796126732673268
+247.03	13.770948563087	3.13368593704662	0.807298750203627
+247.46	13.771848366342	3.13368699746879	0.802863667835953
+253.92	13.7727481699028	3.1336880571148	0.802935235886369
+248.01	13.7736479737694	3.13368911598465	0.812118849061389
+243.85	13.7745477779413	3.13369017407834	0.819012270979834
+245.51	13.7754475824185	3.13369123139587	0.811960914185353
+247.8	13.7763473872006	3.13369228793723	0.80647847829492
+258.18	13.7772471922876	3.13369334370244	0.809977144508199
+261.95	13.778146997679	3.13369439869147	0.806283618400006
+255.46	13.7790468033748	3.13369545290434	0.798848871488512
+242.42	13.7799466093747	3.13369650634105	0.817420831180335
+238.14	13.7808464156784	3.13369755900158	0.821985514991799
+236.9	13.7817462222858	3.13369861088594	0.815887582449097
+242.39	13.7826460291966	3.13369966199413	0.813023142248911
+250.6	13.7835458364106	3.13370071232615	0.812323093992245
+252.55	13.7844456439276	3.13370176188199	0.807301017354877
+252.28	13.7853454517473	3.13370281066166	0.80791676091382
+257.03	13.7862452598696	3.13370385866515	0.812396733575372
+240.28	13.7871450682941	3.13370490589246	0.8131261342486
+222.43	13.7880448770207	3.13370595234359	0.824195096249741
+228.69	13.7889446860492	3.13370699801854	0.823177123953032
+235.26	13.7898444953793	3.13370804291731	0.813724556464363
+243.16	13.7907443050108	3.1337090870399	0.818649480721493
+236.29	13.7916441149435	3.1337101303863	0.821409664421635
+246.84	13.7925439251772	3.13371117295651	0.821009421120888
+250.02	13.7934437357116	3.13371221475054	0.811303813445496
+262.56	13.7943435465465	3.13371325576837	0.792890134334389
+250.39	13.7952433576816	3.13371429601002	0.813012330749922
+242.47	13.7961431691169	3.13371533547548	0.804227955574354
+241.98	13.7970429808519	3.13371637416474	0.802098360655738
+241.37	13.7979427928866	3.13371741207781	0.82203133075511
+244.42	13.7988426052207	3.13371844921469	0.80933292996521
+250.59	13.7997424178539	3.13371948557537	0.8034404536862
+250.83	13.8006422307861	3.13372052115985	0.805238153432526
+226.85	13.7115633418972	3.13270975920682	0.815129992221184
+228.99	13.7124631236967	3.13271087053098	0.822832269167176
+233.92	13.7133629058169	3.13271198107929	0.822299432626735
+232.63	13.7142626882575	3.13271309085175	0.817852559965376
+239.22	13.7151624710184	3.13271419984837	0.820459395004393
+236.39	13.7160622540992	3.13271530806914	0.817418061379609
+241.41	13.7169620374998	3.13271641551406	0.820661072990116
+240.78	13.71786182122	3.13271752218313	0.814330431799665
+237.79	13.7187616052594	3.13271862807635	0.830059014561581
+236.48	13.719661389618	3.13271973319371	0.810606002264134
+237.07	13.7205611742954	3.13272083753521	0.817361049787181
+244.9	13.7214609592915	3.13272194110086	0.813414359666892
+233.75	13.722360744606	3.13272304389065	0.827354893124287
+244.85	13.7232605302387	3.13272414590458	0.824201528834605
+238.91	13.7241603161894	3.13272524714264	0.81838838597491
+233.91	13.7250601024579	3.13272634760485	0.820602935997062
+241.71	13.7259598890438	3.13272744729119	0.812513920084559
+238.46	13.7268596759471	3.13272854620167	0.820215219902557
+243.98	13.7277594631675	3.13272964433628	0.819169709420074
+248.33	13.7286592507047	3.13273074169502	0.808676072460003
+242.14	13.7295590385585	3.13273183827789	0.812084105559644
+239.86	13.7304588267288	3.13273293408489	0.818029018277746
+233.76	13.7313586152152	3.13273402911602	0.815555478268934
+225.24	13.7322584040176	3.13273512337128	0.818645095435812
+231.75	13.7331581931357	3.13273621685066	0.811935055144059
+230.83	13.7340579825694	3.13273730955417	0.815206952013978
+224.83	13.7349577723183	3.1327384014818	0.81526365201064
+233.44	13.7358575623823	3.13273949263354	0.824324616771866
+244.84	13.7367573527612	3.13274058300941	0.800957858090823
+244.34	13.7376571434546	3.1327416726094	0.812060282968401
+237.02	13.7385569344625	3.13274276143351	0.802012698804093
+242.27	13.7394567257845	3.13274384948173	0.80826539005318
+245.16	13.7403565174205	3.13274493675406	0.810787032396735
+247.25	13.7412563093702	3.13274602325051	0.825105802379555
+243.4	13.7421561016333	3.13274710897107	0.825436897277565
+247.59	13.7430558942098	3.13274819391574	0.814041378321202
+247.02	13.7439556870993	3.13274927808452	0.803224541505791
+245.38	13.7448554803017	3.13275036147741	0.811236593083507
+245.16	13.7457552738166	3.1327514440944	0.804056060924078
+229.75	13.7466550676439	3.1327525259355	0.819371727748691
+238.61	13.7475548617834	3.13275360700071	0.801791425175528
+242.34	13.7484546562348	3.13275468729001	0.808307947095333
+238.94	13.7493544509979	3.13275576680342	0.80367082055978
+252.1	13.7502542460725	3.13275684554093	0.803023433841946
+251.53	13.7511540414583	3.13275792350253	0.803471874976677
+247.88	13.7520538371552	3.13275900068823	0.812477741920088
+242.61	13.7529536331629	3.13276007709803	0.820935254140429
+248.51	13.7538534294811	3.13276115273192	0.810115038510982
+238.52	13.7547532261098	3.13276222758991	0.819317349269512
+235.02	13.7556530230485	3.13276330167199	0.813884762905709
+234.17	13.7565528202972	3.13276437497815	0.81486531136185
+241.72	13.7574526178556	3.13276544750841	0.806498234430174
+252.47	13.7583524157234	3.13276651926276	0.803789011488162
+251.55	13.7592522139005	3.13276759024119	0.80512081326101
+237.25	13.7601520123866	3.13276866044371	0.814232250366112
+233.74	13.7610518111815	3.13276972987031	0.803784702743674
+243.18	13.761951610285	3.13277079852099	0.802483874844758
+251.37	13.7628514096968	3.13277186639575	0.805291632923857
+256.42	13.7637512094168	3.1327729334946	0.806215232181074
+271.25	13.7646510094446	3.13277399981752	0.797549845549003
+269.71	13.7655508097801	3.13277506536452	0.829189552056634
+263.05	13.7664506104231	3.1327761301356	0.827834956075784
+260.27	13.7673504113733	3.13277719413075	0.822786781525284
+261.81	13.7682502126304	3.13277825734998	0.823024514747957
+262.52	13.7691500141944	3.13277931979327	0.80490831432279
+254.22	13.7700498160649	3.13278038146064	0.796583492230049
+258.82	13.7709496182418	3.13278144235208	0.796521502555432
+248.41	13.7718494207248	3.13278250246758	0.808244347578742
+247.98	13.7727492235136	3.13278356180716	0.808753254709756
+245.18	13.7736490266081	3.13278462037079	0.815477836056882
+253.85	13.774548830008	3.13278567815849	0.811480610607248
+250.57	13.7754486337132	3.13278673517026	0.808711050827022
+248.03	13.7763484377233	3.13278779140609	0.812292685882193
+250.37	13.7772482420382	3.13278884686597	0.80124435963186
+253.34	13.7781480466577	3.13278990154992	0.802024581438111
+243.38	13.7790478515814	3.13279095545792	0.801540934358464
+238.51	13.7799476568093	3.13279200858998	0.814933488688222
+231.08	13.780847462341	3.1327930609461	0.811812548255525
+234.09	13.7817472681763	3.13279411252627	0.811407839265284
+239.92	13.7826470743151	3.13279516333049	0.822009413213363
+247.19	13.7835468807571	3.13279621335876	0.816818533096098
+257.55	13.784446687502	3.13279726261108	0.804853988005157
+259.75	13.7853464945497	3.13279831108745	0.801258116274536
+270.71	13.7862463018999	3.13279935878787	0.790711882816154
+259.47	13.7871461095524	3.13280040571234	0.793523405299896
+243.15	13.788045917507	3.13280145186085	0.810946443052405
+234.81	13.7889457257634	3.1328024972334	0.820319659881278
+230.83	13.7898455343215	3.13280354182999	0.810392426770842
+238.6	13.7907453431809	3.13280458565063	0.808840661082528
+237.62	13.7916451523416	3.13280562869531	0.814760279575538
+243.68	13.7925449618032	3.13280667096402	0.80922808021593
+250.43	13.7934447715655	3.13280771245677	0.814563409675233
+252.45	13.7943445816284	3.13280875317356	0.817190689933605
+248.88	13.7952443919915	3.13280979311438	0.808463923826195
+245.68	13.7961442026547	3.13281083227923	0.812546264114077
+239.13	13.7970440136177	3.13281187066812	0.793590886130014
+246.27	13.7979438248803	3.13281290828104	0.800108545569186
+240.03	13.7988436364423	3.13281394511798	0.801170232791617
+246.58	13.7997434483035	3.13281498117896	0.800737198801074
+246.9	13.8006432604636	3.13281601646396	0.807767851001551
+222.45	13.7115644476814	3.13180528523222	0.813249625929239
+224.02	13.7124642287092	3.13180639623491	0.82153827275063
+230.03	13.7133640100577	3.13180750646197	0.804422365169026
+222.9	13.7142637917266	3.13180861591341	0.814704257374189
+235.33	13.7151635737157	3.13180972458922	0.80943594947608
+232.77	13.7160633560248	3.13181083248942	0.820640235293255
+233.82	13.7169631386537	3.13181193961398	0.815066396017373
+237.3	13.7178629216022	3.13181304596292	0.817627994069801
+236.29	13.7187627048699	3.13181415153623	0.80945024813177
+230.6	13.7196624884568	3.13181525633391	0.818253226821224
+232.91	13.7205622723625	3.13181636035596	0.81971490770286
+233.51	13.7214620565869	3.13181746360238	0.815626447538384
+242.93	13.7223618411296	3.13181856607316	0.812727232825405
+245.96	13.7232616259906	3.13181966776831	0.813628246875047
+236.01	13.7241614111696	3.13182076868782	0.817723525083486
+230.95	13.7250611966663	3.13182186883169	0.815212534978327
+237.2	13.7259609824806	3.13182296819992	0.810356061477138
+233.26	13.7268607686121	3.13182406679252	0.818678023032629
+241.68	13.7277605550607	3.13182516460947	0.815984361062081
+246.01	13.7286603418262	3.13182626165077	0.821068530174812
+235.14	13.7295601289083	3.13182735791643	0.82124721468524
+232.93	13.7304599163068	3.13182845340645	0.814128611658797
+226.25	13.7313597040215	3.13182954812082	0.811190815440803
+232.06	13.7322594920522	3.13183064205954	0.81882043248533
+229.77	13.7331592803986	3.1318317352226	0.814654610434929
+222.23	13.7340590690605	3.13183282761002	0.823461300745585
+233.53	13.7349588580377	3.13183391922178	0.818582484632829
+242.87	13.73585864733	3.13183501005789	0.802870009922907
+240.03	13.7367584369371	3.13183610011835	0.823639565497882
+244.17	13.7376582268588	3.13183718940314	0.816434580794894
+239.58	13.7385580170949	3.13183827791228	0.811697905718037
+253.32	13.7394578076452	3.13183936564576	0.801619388759408
+248.42	13.7403575985094	3.13184045260358	0.814979397849617
+247.02	13.7412573896873	3.13184153878573	0.813976302852596
+254.31	13.7421571811788	3.13184262419222	0.814664538851745
+246.2	13.7430569729835	3.13184370882305	0.807289189786297
+243.05	13.7439567651012	3.13184479267821	0.802609986715637
+251.79	13.7448565575318	3.1318458757577	0.812267556433018
+238.35	13.745756350275	3.13184695806153	0.808693639219161
+228.52	13.7466561433305	3.13184803958968	0.799254991472283
+239.76	13.7475559366982	3.13184912034216	0.807055256551138
+236.01	13.7484557303779	3.13185020031897	0.811127511759265
+238.77	13.7493555243692	3.1318512795201	0.806422011027857
+238.23	13.7502553186721	3.13185235794556	0.810850744455288
+239.88	13.7511551132861	3.13185343559534	0.796535035991703
+244.62	13.7520549082112	3.13185451246944	0.803206034889203
+235.81	13.7529547034472	3.13185558856786	0.80906500531247
+233.53	13.7538544989937	3.13185666389061	0.817708072355564
+237.55	13.7547542948505	3.13185773843766	0.804568274761446
+239.75	13.7556540910175	3.13185881220904	0.800642844587299
+249.77	13.7565538874945	3.13185988520473	0.794188272706623
+244.23	13.7574536842811	3.13186095742473	0.797800917026503
+249.4	13.7583534813771	3.13186202886905	0.812675237322726
+246.58	13.7592532787824	3.13186309953768	0.794406185964955
+237.69	13.7601530764968	3.13186416943061	0.80067124498766
+252.86	13.7610528745199	3.13186523854786	0.809147818071229
+261.39	13.7619526728516	3.13186630688941	0.800370095404834
+254.19	13.7628524714916	3.13186737445527	0.802736880918966
+274.21	13.7637522704398	3.13186844124543	0.795622059545437
+268.1	13.7646520696958	3.1318695072599	0.811243901948021
+260.06	13.7655518692595	3.13187057249867	0.806295433105821
+251.41	13.7664516691307	3.13187163696173	0.824319041678423
+281.91	13.7673514693091	3.1318727006491	0.813207663401712
+269.84	13.7682512697945	3.13187376356077	0.807520253177881
+272.58	13.7691510705867	3.13187482569673	0.812210760316573
+260.76	13.7700508716854	3.13187588705698	0.804473617920757
+260.01	13.7709506730905	3.13187694764154	0.806434587716444
+253.09	13.7718504748017	3.13187800745038	0.811195781718372
+250.75	13.7727502768187	3.13187906648351	0.799122042269478
+251.41	13.7736500791414	3.13188012474094	0.808182367489707
+254.42	13.7745498817695	3.13188118222265	0.814800092509612
+248.85	13.7754496847029	3.13188223892865	0.815739406598234
+247.68	13.7763494879412	3.13188329485894	0.816837340457109
+248.83	13.7772492914843	3.13188435001351	0.792632912970311
+238.74	13.778149095332	3.13188540439236	0.802772031277094
+235.64	13.7790488994839	3.1318864579955	0.813429146440681
+232.65	13.7799487039399	3.13188751082292	0.808435817768694
+226.81	13.7808485086999	3.13188856287462	0.818659132379775
+234.72	13.7817483137634	3.13188961415059	0.807192682681677
+238.34	13.7826481191304	3.13189066465084	0.817405095479015
+242.55	13.7835479248005	3.13189171437537	0.815842330389784
+248.5	13.7844477307736	3.13189276332418	0.817096498083436
+250.71	13.7853475370495	3.13189381149725	0.803662173112927
+258.2	13.7862473436279	3.1318948588946	0.80336936056401
+257.91	13.7871471505086	3.13189590551622	0.803789272559681
+256.32	13.7880469576914	3.13189695136211	0.807087533001736
+251.21	13.788946765176	3.13189799643226	0.812323801852598
+228.26	13.7898465729622	3.13189904072668	0.820622945921721
+237.38	13.7907463810499	3.13190008424537	0.807612855951295
+241.25	13.7916461894387	3.13190112698832	0.810149385052393
+247.69	13.7925459981285	3.13190216895554	0.809834854250563
+257.47	13.793445807119	3.13190321014701	0.804376341069519
+252.66	13.79434561641	3.13190425056275	0.810958198410362
+246.57	13.7952454260013	3.13190529020274	0.816985229757296
+248.35	13.7961452358927	3.131906329067	0.79732154168693
+236.77	13.7970450460838	3.13190736715551	0.80671259619184
+231.41	13.7979448565746	3.13190840446827	0.808477778690545
+242.78	13.7988446673648	3.13190944100529	0.801828765347725
+250.16	13.7997444784542	3.13191047676656	0.814912794269647
+245.08	13.8006442898425	3.13191151175208	0.806018359806498
+230.97	13.7115655531446	3.1309008112416	0.807813990461049
+229.15	13.712465333401	3.1309019219228	0.809640380019817
+233.68	13.713365113978	3.13090303182861	0.80889009216502
+228.16	13.7142648948754	3.13090414095903	0.820506177984524
+235.98	13.7151646760931	3.13090524931404	0.814444127665321
+238.32	13.7160644576307	3.13090635689366	0.819711226710088
+234.36	13.7169642394881	3.13090746369787	0.820835815188217
+230.53	13.7178640216651	3.13090856972668	0.824091928974401
+234.8	13.7187638041613	3.13090967498009	0.813305069082707
+236.28	13.7196635869767	3.13091077945809	0.81674185992212
+228.24	13.7205633701109	3.13091188316069	0.821488099707185
+236.11	13.7214631535638	3.13091298608787	0.799454005934718
+238.38	13.7223629373351	3.13091408823965	0.819538660323613
+247.72	13.7232627214246	3.13091518961601	0.82063114815249
+238.77	13.724162505832	3.13091629021697	0.8142613379856
+238.82	13.7250622905572	3.13091739004251	0.813912495108859
+232.9	13.7259620756	3.13091848909263	0.82119175560179
+238.99	13.72686186096	3.13091958736734	0.812677896236932
+235.75	13.7277616466371	3.13092068486663	0.814034912219277
+238.2	13.7286614326311	3.1309217815905	0.809370407383458
+243.19	13.7295612189417	3.13092287753895	0.824450230119387
+230.25	13.7304610055687	3.13092397271198	0.799481005797625
+221.15	13.7313607925119	3.13092506710959	0.822409138922577
+239.35	13.7322605797711	3.13092616073177	0.811264504364078
+236.3	13.7331603673459	3.13092725357853	0.80509176024916
+231.15	13.7340601552363	3.13092834564985	0.817002413665058
+237.29	13.734959943442	3.13092943694575	0.815239619454077
+230.74	13.7358597319628	3.13093052746622	0.803769908754603
+245.43	13.7367595207983	3.13093161721126	0.801646665463193
+236.82	13.7376593099485	3.13093270618087	0.816195520010644
+251.34	13.7385590994131	3.13093379437504	0.811359178020742
+252.9	13.7394588891919	3.13093488179378	0.815181241733583
+253.66	13.7403586792846	3.13093596843708	0.806429619528969
+242.4	13.741258469691	3.13093705430494	0.810318670299809
+246.62	13.7421582604109	3.13093813939736	0.814890600564171
+243.39	13.7430580514441	3.13093922371435	0.811999079096939
+266.59	13.7439578427903	3.13094030725589	0.776155645820012
+249.25	13.7448576344494	3.13094139002198	0.814070406128168
+245.66	13.745757426421	3.13094247201264	0.81184690043241
+237.76	13.746657218705	3.13094355322784	0.812700029943729
+242.17	13.7475570113012	3.1309446336676	0.800265716479704
+235.94	13.7484568042093	3.13094571333191	0.814465360044657
+232.71	13.7493565974291	3.13094679222077	0.821532739039993
+238.24	13.7502563909604	3.13094787033418	0.806316306950633
+237	13.7511561848029	3.13094894767214	0.807110524404104
+239.51	13.7520559789565	3.13095002423464	0.811455718203237
+238.25	13.7529557734209	3.13095110002169	0.804214938812197
+229.58	13.7538555681958	3.13095217503328	0.818217364953372
+243.06	13.7547553632812	3.13095324926941	0.798645153344008
+243.52	13.7556551586766	3.13095432273009	0.813576463140667
+244.92	13.756554954382	3.1309553954153	0.793009189252065
+245.6	13.757454750397	3.13095646732505	0.807593081655396
+247.63	13.7583545467216	3.13095753845934	0.808189490128808
+246.27	13.7592543433553	3.13095860881816	0.807765724295578
+254.83	13.7601541402981	3.13095967840152	0.793425169199336
+251.07	13.7610539375497	3.13096074720941	0.809903112821639
+252.87	13.7619537351098	3.13096181524183	0.812080440438714
+254.99	13.7628535329783	3.13096288249878	0.820183771576933
+264.46	13.7637533311549	3.13096394898026	0.82855720483841
+258.51	13.7646531296394	3.13096501468627	0.825132775876944
+252.52	13.7655529284315	3.13096607961681	0.834016473690394
+276.23	13.7664527275311	3.13096714377187	0.818567010661034
+294	13.767352526938	3.13096820715145	0.796875394680341
+279.75	13.7682523266518	3.13096926975556	0.799489179966364
+279.08	13.7691521266724	3.13097033158418	0.805530567820528
+277.73	13.7700519269996	3.13097139263733	0.823374626548496
+262.93	13.7709517276331	3.13097245291499	0.817037367913173
+252.22	13.7718515285727	3.13097351241717	0.816430251080938
+242.34	13.7727513298182	3.13097457114387	0.810143063068649
+250.42	13.7736511313693	3.13097562909508	0.82
+246.38	13.7745509332259	3.13097668627081	0.815669161977118
+253.24	13.7754507353876	3.13097774267105	0.813625609936419
+252.46	13.7763505378544	3.13097879829579	0.813235651795783
+246.69	13.7772503406259	3.13097985314505	0.785111794274557
+245.54	13.778150143702	3.13098090721882	0.789615567311245
+230.69	13.7790499470823	3.13098196051709	0.809992806069928
+228.5	13.7799497507668	3.13098301303986	0.803377979951141
+226.7	13.7808495547551	3.13098406478714	0.815985070562417
+234.26	13.7817493590471	3.13098511575893	0.800833569039815
+237.45	13.7826491636424	3.13098616595521	0.817228601212896
+248.3	13.783548968541	3.130987215376	0.808139955730466
+249.52	13.7844487737425	3.13098826402128	0.808738942289281
+253.36	13.7853485792468	3.13098931189106	0.806925863991081
+258.93	13.7862483850536	3.13099035898534	0.803173448235352
+243.47	13.7871481911627	3.13099140530411	0.816933792943065
+248.28	13.7880479975739	3.13099245084738	0.805893173002632
+242.84	13.7889478042869	3.13099349561514	0.815451878271875
+230.95	13.7898476113016	3.13099453960739	0.813154847412843
+231.23	13.7907474186176	3.13099558282413	0.808747099767981
+242.22	13.7916472262349	3.13099662526535	0.810599373387534
+250.41	13.792547034153	3.13099766693107	0.805752682901078
+261.62	13.7934468423719	3.13099870782127	0.804261005232944
+263.05	13.7943466508914	3.13099974793596	0.8083663649269
+255.07	13.795246459711	3.13100078727513	0.820077621846612
+244.78	13.7961462688308	3.13100182583878	0.801562753709857
+233.53	13.7970460782504	3.13100286362691	0.807253828098804
+238.14	13.7979458879696	3.13100390063952	0.803751714064849
+239.89	13.7988456979881	3.13100493687661	0.816104384273744
+244.81	13.7997455083059	3.13100597233818	0.813697548181347
+246.66	13.8006453189226	3.13100700702422	0.821329452137868
+232.4	13.711566658287	3.12999633723494	0.81685665383293
+234.09	13.7124664377721	3.12999744759467	0.820649006476869
+226.66	13.7133662175779	3.12999855717924	0.822732020521643
+232.98	13.714265997704	3.12999966598862	0.809012361884319
+229.7	13.7151657781504	3.13000077402284	0.82536932600722
+229.06	13.7160655589168	3.13000188128188	0.819513622207327
+232.42	13.7169653400029	3.13000298776574	0.817332946494014
+234.45	13.7178651214086	3.13000409347442	0.824082691865494
+233.34	13.7187649031336	3.13000519840793	0.812260270272356
+234.61	13.7196646851777	3.13000630256625	0.816839680497801
+227.7	13.7205644675407	3.13000740594939	0.803593933880297
+236.47	13.7214642502223	3.13000850855734	0.811896790201465
+238.18	13.7223640332223	3.13000961039012	0.81355102290637
+239.48	13.7232638165405	3.1300107114477	0.821711094372899
+234.91	13.7241636001767	3.1300118117301	0.82030963081315
+238.69	13.7250633841306	3.1300129112373	0.819116675674053
+237.88	13.7259631684021	3.13001400996932	0.816194760320099
+236.44	13.7268629529908	3.13001510792615	0.812265855871928
+236.65	13.7277627378967	3.13001620510778	0.813202071892162
+240.17	13.7286625231194	3.13001730151421	0.810383300957587
+243.28	13.7295623086587	3.13001839714546	0.812325080319283
+233.04	13.7304620945144	3.1300194920015	0.813527810190587
+234.69	13.7313618806863	3.13002058608234	0.807996739351946
+243.79	13.7322616671742	3.13002167938799	0.801978637026526
+241.87	13.7331614539778	3.13002277191843	0.795487077847514
+228.15	13.7340612410969	3.13002386367367	0.791399866041527
+228.99	13.7349610285313	3.13002495465371	0.796321220278152
+230.58	13.7358608162807	3.13002604485854	0.808836666532534
+243.51	13.736760604345	3.13002713428816	0.813250130617471
+237.1	13.7376603927239	3.13002822294258	0.808202691508151
+248.87	13.7385601814172	3.13002931082179	0.81489615047308
+254.93	13.7394599704247	3.13003039792578	0.813089593476402
+257.38	13.740359759746	3.13003148425457	0.813963287226511
+243.08	13.7412595493812	3.13003256980814	0.81591170118247
+244.58	13.7421593393298	3.13003365458649	0.813500052219697
+245.64	13.7430591295916	3.13003473858963	0.81165127797818
+263.16	13.7439589201666	3.13003582181755	0.779715325762364
+255.34	13.7448587110543	3.13003690427025	0.809761551291215
+249.58	13.7457585022546	3.13003798594774	0.801531949360779
+249	13.7466582937674	3.13003906685	0.80025634212295
+240.58	13.7475580855922	3.13004014697704	0.805816622204957
+240.21	13.748457877729	3.13004122632885	0.810040035054802
+247.33	13.7493576701775	3.13004230490544	0.812505797967279
+245.65	13.7502574629375	3.1300433827068	0.813714500658266
+252.69	13.7511572560087	3.13004445973293	0.818509110831252
+243.76	13.752057049391	3.13004553598384	0.809898685651698
+236.55	13.752956843084	3.13004661145951	0.817068661199999
+233.12	13.7538566370877	3.13004768615995	0.813360382553253
+246.66	13.7547564314017	3.13004876008516	0.810922532238621
+240.69	13.7556562260258	3.13004983323513	0.793504538806906
+251.47	13.7565560209598	3.13005090560987	0.799230048072128
+239.57	13.7574558162036	3.13005197720936	0.815717534630493
+239.84	13.7583556117568	3.13005304803363	0.812160732226284
+237.84	13.7592554076192	3.13005411808265	0.81475926031946
+252.03	13.7601552037906	3.13005518735642	0.804913426488457
+247.43	13.7610550002709	3.13005625585496	0.813017795035056
+252	13.7619547970597	3.13005732357825	0.819199909273908
+245.56	13.7628545941568	3.1300583905263	0.818306631246626
+255.93	13.7637543915621	3.1300594566991	0.821104492472491
+255.83	13.7646541892752	3.13006052209665	0.819244597964215
+253.12	13.7655539872961	3.13006158671895	0.813891982182628
+267.06	13.7664537856243	3.130062650566	0.814107387669694
+293.63	13.7673535842598	3.1300637136378	0.78372208570009
+288.19	13.7682533832023	3.13006477593435	0.805929883709085
+276.73	13.7691531824516	3.13006583745564	0.811988922266176
+268.51	13.7700529820074	3.13006689820168	0.80581820270377
+263.78	13.7709527818696	3.13006795817246	0.819395635722801
+249.96	13.7718525820378	3.13006901736798	0.809580929740576
+233.37	13.7727523825119	3.13007007578824	0.823185227164001
+242.77	13.7736521832917	3.13007113343324	0.816010111964578
+240.29	13.7745519843769	3.13007219030298	0.814471595354384
+245.77	13.7754517857674	3.13007324639745	0.815713704324939
+241.56	13.7763515874628	3.13007430171666	0.819285162517084
+232.43	13.7772513894629	3.1300753562606	0.814572279846406
+227.67	13.7781511917676	3.13007641002928	0.817698932902695
+227.96	13.7790509943767	3.13007746302268	0.819472765188163
+228.66	13.7799507972898	3.13007851524082	0.829530603155597
+230.95	13.7808506005067	3.13007956668368	0.815922446975337
+238.87	13.7817504040273	3.13008061735127	0.812172937951657
+242.68	13.7826502078513	3.13008166724359	0.805103471215757
+238.88	13.7835500119785	3.13008271636063	0.810733077765178
+247.41	13.7844498164087	3.1300837647024	0.815618091653224
+252.83	13.7853496211416	3.13008481226888	0.804703746236693
+251.22	13.7862494261771	3.13008585906009	0.813139520216073
+245.58	13.7871492315148	3.13008690507602	0.812288748462746
+244.24	13.7880490371546	3.13008795031666	0.823042188104761
+246.66	13.7889488430963	3.13008899478203	0.82686842525412
+245.88	13.7898486493395	3.1300900384721	0.828369850386443
+233.37	13.7907484558842	3.1300910813869	0.822476998867752
+230.34	13.7916482627301	3.1300921235264	0.820486064998387
+247.26	13.7925480698769	3.13009316489062	0.801437440025067
+255.51	13.7934478773244	3.13009420547954	0.810742759682856
+266.04	13.7943476850724	3.13009524529318	0.802900902283666
+266.42	13.7952474931207	3.13009628433153	0.804324679113186
+242.21	13.7961473014691	3.13009732259458	0.812214622794965
+247.9	13.7970471101173	3.13009836008233	0.790966295653751
+247.01	13.7979469190651	3.13009939679479	0.801039891096176
+249.48	13.7988467283123	3.13010043273196	0.798916864314465
+247.26	13.7997465378587	3.13010146789382	0.814292784906441
+247.14	13.8006463477039	3.13010250228039	0.819213500486313
+225.71	13.7115677631086	3.12909186321226	0.824998083920627
+230.85	13.7124675418226	3.12909297325052	0.830787848868502
+231.6	13.7133673208573	3.12909408251383	0.828950898378842
+228.57	13.7142671002125	3.1290951910022	0.829419298986337
+228.04	13.7151668798878	3.12909629871561	0.834815369825831
+233.93	13.7160666598831	3.12909740565407	0.814289746532939
+231.99	13.7169664401982	3.12909851181758	0.818221849364729
+235.14	13.7178662208329	3.12909961720614	0.820772455571733
+230.33	13.7187660017868	3.12910072181974	0.814151068631355
+237.26	13.7196657830599	3.12910182565839	0.809422463756734
+230.33	13.7205655646518	3.12910292872207	0.822103904963887
+233.11	13.7214653465623	3.1291040310108	0.803737125598199
+236.29	13.7223651287913	3.12910513252456	0.809968325394736
+238.65	13.7232649113385	3.12910623326337	0.804020359257719
+234.91	13.7241646942036	3.12910733322721	0.80744602666082
+233.31	13.7250644773865	3.12910843241608	0.799856236265429
+238.05	13.7259642608869	3.12910953082999	0.806514507631826
+230.28	13.7268640447046	3.12911062846894	0.80577907524872
+231.84	13.7277638288394	3.12911172533291	0.814589362339088
+233.39	13.728663613291	3.12911282142191	0.815452313132305
+234.1	13.7295633980593	3.12911391673594	0.816510166131338
+231.44	13.7304631831439	3.129115011275	0.816439722296805
+237.13	13.7313629685448	3.12911610503909	0.80752787258698
+234.08	13.7322627542616	3.1291171980282	0.808372639201487
+234.46	13.7331625402941	3.12911829024233	0.792954498519997
+244.79	13.7340623266421	3.12911938168148	0.804068845018376
+233.35	13.7349621133055	3.12912047234565	0.816214665612256
+237.45	13.7358619002838	3.12912156223485	0.809683525909401
+255.5	13.7367616875771	3.12912265134906	0.810339395269636
+247.29	13.7376614751849	3.12912373968828	0.814192027759894
+250.23	13.7385612631071	3.12912482725252	0.81867840918592
+249.07	13.7394610513435	3.12912591404178	0.813099001943714
+246.62	13.7403608398938	3.12912700005605	0.81093931932964
+250.81	13.7412606287578	3.12912808529533	0.808904662398974
+253.45	13.7421604179354	3.12912916975961	0.814279780311072
+248.77	13.7430602074262	3.12913025344891	0.80690937234992
+254.46	13.74395999723	3.12913133636321	0.801517236871253
+245.26	13.7448597873467	3.12913241850252	0.812834326688481
+256.69	13.7457595777759	3.12913349986683	0.810598084561039
+258.35	13.7466593685176	3.12913458045615	0.810131477184841
+249.15	13.7475591595713	3.12913566027047	0.807212644762156
+250.39	13.748458950937	3.12913673930978	0.810855263157895
+249.61	13.7493587426144	3.1291378175741	0.804625466737789
+251.25	13.7502585346033	3.12913889506342	0.802029970611788
+245.96	13.7511583269034	3.12913997177773	0.8117866154031
+237.89	13.7520581195146	3.12914104771703	0.824225254644147
+242.36	13.7529579124366	3.12914212288133	0.823125167282749
+229.71	13.7538577056691	3.12914319727062	0.823611179127474
+234.18	13.754757499212	3.1291442708849	0.799634210290713
+236.24	13.7556572930651	3.12914534372417	0.810031209100977
+241.73	13.756557087228	3.12914641578844	0.812526422028831
+236.79	13.7574568817006	3.12914748707768	0.821513872406904
+237.82	13.7583566764827	3.12914855759192	0.811971875394123
+238.33	13.759256471574	3.12914962733113	0.813553750058705
+243.05	13.7601562669744	3.12915069629533	0.81964237723054
+249.65	13.7610560626835	3.12915176448451	0.81913591044254
+249.89	13.7619558587012	3.12915283189868	0.817409705841419
+243.19	13.7628556550272	3.12915389853782	0.814788975409221
+261.91	13.7637554516614	3.12915496440194	0.800428486997636
+256.9	13.7646552486034	3.12915602949103	0.812763063105891
+267.24	13.7655550458531	3.1291570938051	0.807950843627706
+257.19	13.7664548434103	3.12915815734415	0.797754561047871
+276.35	13.7673546412747	3.12915922010817	0.790878688765573
+274.58	13.7682544394461	3.12916028209715	0.79061124985135
+263.61	13.7691542379242	3.12916134331111	0.802810802739879
+266.49	13.7700540367089	3.12916240375004	0.804359178936679
+262.62	13.7709538358	3.12916346341393	0.813635508945709
+244.47	13.7718536351971	3.12916452230279	0.818349963494768
+228.45	13.7727534349001	3.12916558041662	0.823473834994362
+237.99	13.7736532349087	3.12916663775541	0.801104926407575
+241.6	13.7745530352228	3.12916769431916	0.807606033055555
+243.6	13.7754528358421	3.12916875010787	0.806499359256504
+244.88	13.7763526367664	3.12916980512154	0.809446432198491
+233.51	13.7772524379954	3.12917085936016	0.817770375050256
+236.14	13.778152239529	3.12917191282375	0.817574427166538
+232.77	13.7790520413669	3.12917296551229	0.825275536551455
+234.36	13.7799518435089	3.12917401742579	0.808449305766859
+231.61	13.7808516459547	3.12917506856423	0.812155724733585
+235.12	13.7817514487041	3.12917611892763	0.817586750483184
+242.46	13.782651251757	3.12917716851598	0.794578948456592
+237.78	13.7835510551131	3.12917821732928	0.80415142955453
+247.48	13.7844508587721	3.12917926536753	0.796575654893783
+243.5	13.7853506627339	3.12918031263072	0.80512788212091
+243.77	13.7862504669982	3.12918135911886	0.813623416717374
+240.74	13.7871502715648	3.12918240483194	0.805564565253507
+247.79	13.7880500764334	3.12918344976997	0.799479679924317
+238.43	13.7889498816039	3.12918449393294	0.817582027696732
+240.66	13.7898496870761	3.12918553732084	0.821284195626961
+238.77	13.7907494928496	3.12918657993369	0.82716185155451
+234.42	13.7916492989243	3.12918762177147	0.823230092601184
+238.7	13.7925491053	3.12918866283419	0.816287734773021
+259.48	13.7934489119763	3.12918970312184	0.803204253604138
+263.91	13.7943487189532	3.12919074263443	0.806785056422913
+266.53	13.7952485262304	3.12919178137195	0.805953348075235
+250.76	13.7961483338076	3.1291928193344	0.809071129707113
+250.21	13.7970481416846	3.12919385652178	0.805159755734968
+243.59	13.7979479498613	3.12919489293409	0.801534534851452
+246.05	13.7988477583373	3.12919592857133	0.802941712804715
+257	13.7997475671125	3.12919696343349	0.809960828203693
+249.26	13.8006473761866	3.12919799752058	0.820147882812251
+231.76	13.7115688676092	3.12818738917356	0.82453333902107
+235.85	13.7124686455524	3.12818849889035	0.829520576416794
+227.33	13.7133684238163	3.12818960783241	0.828551759997364
+229.83	13.7142682024007	3.12819071599975	0.830450142290384
+225.74	13.7151679813052	3.12819182339237	0.829025931575507
+221.27	13.7160677605297	3.12819293001025	0.82169987868397
+227.09	13.716967540074	3.12819403585341	0.817979325574364
+237.11	13.7178673199378	3.12819514092184	0.814202208928449
+245.35	13.7187671001209	3.12819624521554	0.806992996747443
+236.54	13.7196668806232	3.12819734873451	0.814365417762859
+227.53	13.7205666614443	3.12819845147874	0.802628607945468
+222.58	13.721466442584	3.12819955344824	0.798836865107695
+238.16	13.7223662240421	3.128200654643	0.802472213733091
+236.08	13.7232660058185	3.12820175506302	0.813250999412449
+231.16	13.7241657879128	3.12820285470831	0.811034142115086
+239.83	13.7250655703248	3.12820395357885	0.80376708015868
+235.42	13.7259653530544	3.12820505167466	0.8119375985652
+236.85	13.7268651361013	3.12820614899572	0.815329380488566
+239	13.7277649194652	3.12820724554203	0.813827334193145
+234.47	13.728664703146	3.1282083413136	0.817207979807195
+232.27	13.7295644871434	3.12820943631042	0.813391576833361
+235.51	13.7304642714573	3.1282105305325	0.825825149631007
+242.96	13.7313640560873	3.12821162397982	0.811478679821399
+244.35	13.7322638410332	3.12821271665239	0.792326771949458
+243.03	13.7331636262949	3.12821380855022	0.79577864636906
+246.46	13.7340634118721	3.12821489967328	0.787163267096898
+240.12	13.7349631977646	3.12821599002159	0.800795739731897
+246.22	13.7358629839721	3.12821707959515	0.802311785779155
+250.43	13.7367627704945	3.12821816839394	0.804224207961007
+247.64	13.7376625573315	3.12821925641798	0.816163151651193
+254.84	13.7385623444828	3.12822034366726	0.810904904765227
+258.51	13.7394621319484	3.12822143014177	0.807831744227504
+252.68	13.7403619197278	3.12822251584153	0.811436961958572
+244.32	13.741261707821	3.12822360076651	0.815867992265287
+248.08	13.7421614962277	3.12822468491673	0.819609699421219
+239.2	13.7430612849476	3.12822576829219	0.816534592424402
+235.08	13.7439610739806	3.12822685089287	0.812146495422018
+247.65	13.7448608633264	3.12822793271879	0.811811766310215
+259.73	13.7457606529848	3.12822901376993	0.801650970817347
+251.23	13.7466604429556	3.1282300940463	0.804403791985947
+252.64	13.7475602332385	3.1282311735479	0.799580761616397
+247.11	13.7484600238333	3.12823225227472	0.809039852227432
+241.62	13.7493598147399	3.12823333022677	0.816571533649318
+245.09	13.7502596059579	3.12823440740403	0.812925760238992
+250.09	13.7511593974872	3.12823548380652	0.818193418044553
+244.68	13.7520591893274	3.12823655943423	0.818465755400873
+240.55	13.7529589814785	3.12823763428716	0.811771350503543
+230.23	13.7538587739402	3.1282387083653	0.811854693857602
+237.17	13.7547585667122	3.12823978166865	0.805837319399492
+236.76	13.7556583597944	3.12824085419723	0.822064720693836
+239.82	13.7565581531865	3.12824192595101	0.811770153976768
+238.87	13.7574579468882	3.12824299693001	0.822130651883448
+243.45	13.7583577408994	3.12824406713421	0.822523554783573
+236.98	13.7592575352199	3.12824513656363	0.817255958452399
+240.25	13.7601573298493	3.12824620521825	0.80458243333266
+243.22	13.7610571247876	3.12824727309808	0.812364453798311
+242.09	13.7619569200344	3.12824834020311	0.817814796227913
+249.68	13.7628567155895	3.12824940653335	0.805730818704745
+253.68	13.7637565114528	3.12825047208879	0.799357663788105
+256.98	13.764656307624	3.12825153686943	0.80624363635027
+270.26	13.7655561041028	3.12825260087527	0.766174871158288
+259.07	13.7664559008891	3.12825366410631	0.797076316111004
+256.3	13.7673556979826	3.12825472656254	0.813839495996232
+255.75	13.768255495383	3.12825578824397	0.804634298685273
+255.32	13.7691552930903	3.1282568491506	0.807007342800701
+250.47	13.7700550911041	3.12825790928241	0.791390499158767
+246.33	13.7709548894242	3.12825896863942	0.805123752295622
+251.51	13.7718546880505	3.12826002722162	0.80975526625816
+237.51	13.7727544869826	3.12826108502901	0.817257041801129
+241.6	13.7736542862203	3.12826214206159	0.798880320240014
+237.9	13.7745540857635	3.12826319831935	0.80981160929264
+245.93	13.7754538856119	3.1282642538023	0.803507480303934
+256.49	13.7763536857653	3.12826530851043	0.804061059689858
+244.85	13.7772534862234	3.12826636244375	0.81181534853581
+229.93	13.7781532869861	3.12826741560224	0.812500746985168
+232.64	13.779053088053	3.12826846798592	0.81936193875139
+236.04	13.7799528894241	3.12826951959478	0.812341693766829
+234.93	13.780852691099	3.12827057042881	0.806860353724411
+237.96	13.7817524930776	3.12827162048802	0.813360854517058
+238.21	13.7826522953595	3.1282726697724	0.802625916513069
+244.5	13.7835520979447	3.12827371828196	0.806347007524478
+245.26	13.7844519008328	3.12827476601669	0.813696534593481
+232.39	13.7853517040237	3.12827581297659	0.808132943126701
+226.54	13.786251507517	3.12827685916166	0.820963616673195
+239.18	13.7871513113127	3.12827790457189	0.811621721319432
+242.53	13.7880511154104	3.1282789492073	0.80886335786705
+240.32	13.78895091981	3.12827999306787	0.808080288824653
+237.89	13.7898507245112	3.12828103615361	0.820160146832606
+244.61	13.7907505295138	3.12828207846451	0.809440411721781
+243.6	13.7916503348176	3.12828312000057	0.800527958940159
+241.22	13.7925501404223	3.12828416076179	0.803850324728593
+251.51	13.7934499463278	3.12828520074817	0.822520841109867
+254.23	13.7943497525337	3.12828623995971	0.825365754939829
+250.77	13.7952495590399	3.1282872783964	0.805038723811287
+238.72	13.7961493658462	3.12828831605825	0.803379552896471
+244.71	13.7970491729523	3.12828935294526	0.823070226137087
+235.98	13.797948980358	3.12829038905742	0.811565850831716
+244.07	13.7988487880631	3.12829142439473	0.822952922440568
+246.74	13.7997485960674	3.12829245895719	0.815694027410292
+244.13	13.8006484043706	3.1282934927448	0.809660344928612
+234.67	13.711569971789	3.12728291511885	0.831610868673556
+227.29	13.7124697489616	3.12728402451416	0.827727841373376
+231.02	13.7133695264549	3.12728513313498	0.825493303232249
+229.38	13.7142693042687	3.12728624098129	0.829527810595974
+228.62	13.7151690824026	3.12728734805311	0.82287487073423
+232.98	13.7160688608565	3.12728845435042	0.824687983311154
+230.64	13.7169686396302	3.12728955987323	0.817472106117655
+230.12	13.7178684187234	3.12729066462153	0.818382847803096
+234.8	13.718768198136	3.12729176859533	0.817678928291908
+222.65	13.7196679778676	3.12729287179462	0.808831432621713
+222.26	13.7205677579181	3.1272939742194	0.808039274322169
+226	13.7214675382872	3.12729507586967	0.808362043368084
+236.91	13.7223673189748	3.12729617674543	0.800176904487372
+232.31	13.7232670999805	3.12729727684667	0.817403820579815
+239.4	13.7241668813042	3.1272983761734	0.793820288063609
+234.79	13.7250666629457	3.12729947472562	0.813902467341653
+235.97	13.7259664449046	3.12730057250331	0.810910499745008
+235.62	13.7268662271809	3.12730166950649	0.814582841835298
+236.69	13.7277660097742	3.12730276573515	0.814254408849003
+240.26	13.7286657926844	3.12730386118929	0.808856776967953
+238.64	13.7295655759112	3.1273049558689	0.815420353384706
+243.06	13.7304653594544	3.12730604977399	0.804814182257327
+249.18	13.7313651433138	3.12730714290455	0.80141275411423
+240.27	13.7322649274892	3.12730823526059	0.793046080791867
+238.38	13.7331647119802	3.1273093268421	0.79194813115932
+237.14	13.7340644967868	3.12731041764908	0.79465491476058
+233.7	13.7349642819087	3.12731150768153	0.799696587027824
+251.6	13.7358640673456	3.12731259693945	0.798553088213698
+260.75	13.7367638530973	3.12731368542283	0.800086730268864
+254.97	13.7376636391637	3.12731477313168	0.794506505454068
+251.76	13.7385634255444	3.12731586006599	0.811419472247498
+256.51	13.7394632122393	3.12731694622577	0.810437706831739
+249.1	13.7403629992482	3.12731803161101	0.816416044525748
+244.61	13.7412627865707	3.1273191162217	0.822158953061894
+245.97	13.7421625742068	3.12732020005786	0.805570413091168
+239.6	13.7430623621561	3.12732128311947	0.805643901688962
+248.3	13.7439621504184	3.12732236540654	0.813635907965233
+260.12	13.7448619389936	3.12732344691906	0.811193240296241
+261.27	13.7457617278814	3.12732452765703	0.786530606000337
+245.86	13.7466615170815	3.12732560762046	0.795083635179683
+242.72	13.7475613065938	3.12732668680934	0.804257998810528
+254.06	13.748461096418	3.12732776522367	0.792108263559392
+243.77	13.7493608865539	3.12732884286344	0.80428811046017
+263.53	13.7502606770012	3.12732991972866	0.805613970924385
+271.38	13.7511604677598	3.12733099581933	0.799227854848236
+238.62	13.7520602588295	3.12733207113544	0.815163548685873
+242.99	13.7529600502099	3.12733314567699	0.806862942241043
+237.17	13.753859841901	3.12733421944398	0.813178950607786
+241.05	13.7547596339023	3.12733529243642	0.827524195889354
+238.13	13.7556594262138	3.12733636465429	0.810083947543619
+245.54	13.7565592188353	3.1273374360976	0.815740422908985
+241.23	13.7574590117664	3.12733850676634	0.819140296105328
+243.55	13.7583588050069	3.12733957666052	0.804621273726175
+234.33	13.7592585985567	3.12734064578014	0.814267322278925
+245.31	13.7601583924155	3.12734171412518	0.816629210110644
+258.55	13.7610581865831	3.12734278169566	0.801764145434429
+255.83	13.7619579810593	3.12734384849156	0.804998831696452
+256.41	13.7628577758437	3.12734491451289	0.800665851594094
+248.42	13.7637575709363	3.12734597975965	0.805985403123777
+251.34	13.7646573663368	3.12734704423184	0.813354479639338
+252.72	13.765557162045	3.12734810792945	0.778948932905397
+250.07	13.7664569580606	3.12734917085248	0.808306859262273
+245.55	13.7673567543834	3.12735023300093	0.81453744153973
+249.83	13.7682565510132	3.1273512943748	0.80703121667888
+238.19	13.7691563479498	3.1273523549741	0.808407710043932
+236.26	13.770056145193	3.12735341479881	0.820019175455417
+245.22	13.7709559427424	3.12735447384893	0.811271057363063
+238.4	13.771855740598	3.12735553212447	0.810901952092206
+241.05	13.7727555387594	3.12735658962543	0.801861092165145
+237.51	13.7736553372265	3.12735764635179	0.801270685579196
+238.34	13.774555135999	3.12735870230357	0.810899922420481
+242.07	13.7754549350767	3.12735975748076	0.807403889911161
+248.46	13.7763547344594	3.12736081188335	0.800887227856947
+242.79	13.7772545341469	3.12736186551135	0.793894358883531
+232.16	13.7781543341388	3.12736291836476	0.816849300588422
+244.29	13.7790541344351	3.12736397044357	0.813469620909197
+238.51	13.7799539350355	3.12736502174779	0.821073204081178
+236.78	13.7808537359397	3.12736607227741	0.808026939128846
+229.46	13.7817535371476	3.12736712203243	0.814454216785101
+232.94	13.7826533386588	3.12736817101284	0.820519625377411
+247.85	13.7835531404733	3.12736921921866	0.801855034811605
+247.97	13.7844529425907	3.12737026664987	0.813554795983764
+241.37	13.7853527450109	3.12737131330648	0.808253175362193
+236.72	13.7862525477336	3.12737235918848	0.813532035158572
+231.22	13.7871523507586	3.12737340429587	0.812843168191859
+232.47	13.7880521540856	3.12737444862866	0.819104473083371
+229.51	13.7889519577145	3.12737549218684	0.826077499728117
+234.81	13.789851761645	3.1273765349704	0.818461993919634
+242.08	13.7907515658769	3.12737757697935	0.806187582078612
+238.11	13.7916513704099	3.12737861821369	0.821494281358656
+253.6	13.792551175244	3.12737965867342	0.812624314387318
+262.65	13.7934509803787	3.12738069835853	0.811344085071806
+260.9	13.794350785814	3.12738173726902	0.817347821973347
+249.09	13.7952505915495	3.12738277540489	0.803472715481301
+248.67	13.796150397585	3.12738381276614	0.810329955520886
+244.84	13.7970502039204	3.12738484935277	0.816790339007711
+243.44	13.7979500105554	3.12738588516478	0.811827731971707
+249.64	13.7988498174898	3.12738692020216	0.819832697623198
+243.71	13.7997496247234	3.12738795446492	0.81100327559869
+241.76	13.8006494322558	3.12738898795305	0.812382019368008
+237.31	13.7115710756478	3.12637844104813	0.826794229185518
+232.69	13.7124708520501	3.12637955012197	0.836794997790427
+231.51	13.7133706287731	3.12638065842154	0.832689859548803
+231.01	13.7142704058164	3.12638176594683	0.826842553822211
+231.53	13.71517018318	3.12638287269785	0.828991532947877
+233.09	13.7160699608636	3.12638397867458	0.813062728094361
+232.79	13.7169697388669	3.12638508387704	0.82129572168753
+236.47	13.7178695171898	3.12638618830522	0.817257067483428
+225.07	13.7187692958319	3.12638729195912	0.813155510043196
+233.07	13.7196690747932	3.12638839483873	0.806493486059538
+228.15	13.7205688540733	3.12638949694406	0.817743708794471
+222.64	13.721468633672	3.1263905982751	0.82256020278834
+238.67	13.7223684135892	3.12639169883185	0.809034136797443
+232.97	13.7232681938246	3.12639279861432	0.799442188589475
+232.05	13.7241679743779	3.12639389762249	0.801589924966119
+231.32	13.725067755249	3.12639499585638	0.804095054759453
+237.69	13.7259675364375	3.12639609331597	0.816346901144451
+241.13	13.7268673179434	3.12639719000127	0.814704890132175
+234.44	13.7277670997664	3.12639828591227	0.808055709942132
+233.54	13.7286668819062	3.12639938104897	0.814250696113663
+236.33	13.7295666643626	3.12640047541138	0.799015047200824
+246.52	13.7304664471354	3.12640156899948	0.788358845122238
+243.53	13.7313662302244	3.12640266181329	0.798177578334738
+234.77	13.7322660136294	3.12640375385279	0.795772931635783
+238.49	13.73316579735	3.12640484511799	0.798300287988315
+238.47	13.7340655813862	3.12640593560889	0.803124209207138
+238.91	13.7349653657377	3.12640702532548	0.805806200054352
+243.23	13.7358651504042	3.12640811426776	0.807198287908546
+256.55	13.7367649353856	3.12640920243573	0.80707071429082
+252.21	13.7376647206815	3.12641028982939	0.81647472075862
+245.35	13.7385645062918	3.12641137644874	0.819887509587251
+257.16	13.7394642922163	3.12641246229377	0.807329343739504
+245.19	13.7403640784548	3.12641354736449	0.810315927148087
+248.33	13.7412638650069	3.1264146316609	0.800643451164485
+241.16	13.7421636518726	3.12641571518299	0.804207735408498
+243.73	13.7430634390515	3.12641679793076	0.795408418160245
+248.86	13.7439632265434	3.12641787990421	0.808566522250488
+252.02	13.7448630143482	3.12641896110334	0.807335424815398
+254.44	13.7457628024655	3.12642004152815	0.797366546940798
+248.56	13.7466625908952	3.12642112117863	0.788221086107645
+256.22	13.7475623796371	3.12642220005479	0.787448451447171
+241.83	13.7484621686909	3.12642327815662	0.789671941727438
+247.9	13.7493619580563	3.12642435548413	0.802274344846338
+251.33	13.7502617477333	3.1264254320373	0.815223635319183
+256.57	13.7511615377215	3.12642650781615	0.80063752276867
+238.76	13.7520613280207	3.12642758282066	0.818330952002963
+232.92	13.7529611186307	3.12642865705084	0.811110844893819
+233.25	13.7538609095513	3.12642973050669	0.80863402841957
+241.45	13.7547607007823	3.1264308031882	0.811656168233356
+244.45	13.7556604923234	3.12643187509537	0.800264309903362
+246.48	13.7565602841744	3.1264329462282	0.821430495060882
+248.8	13.757460076335	3.1264340165867	0.810099444853992
+248.94	13.7583598688052	3.12643508617085	0.807841695813139
+244.03	13.7592596615845	3.12643615498066	0.816906320022556
+252.48	13.7601594546729	3.12643722301613	0.804814192489547
+259.05	13.76105924807	3.12643829027725	0.799759626355905
+251.38	13.7619590417758	3.12643935676403	0.800325614771491
+247.42	13.7628588357898	3.12644042247646	0.815268149032703
+250.48	13.763758630112	3.12644148741454	0.820953931073526
+247.51	13.764658424742	3.12644255157827	0.803563176262489
+243.3	13.7655582196798	3.12644361496765	0.805127747876273
+251.63	13.7664580149249	3.12644467758267	0.812446017481699
+262.3	13.7673578104773	3.12644573942335	0.791298771379637
+248.67	13.7682576063367	3.12644680048966	0.815567667381463
+235.77	13.7691574025028	3.12644786078162	0.812831603678175
+237.67	13.7700571989755	3.12644892029922	0.816763694047651
+244.42	13.7709569957545	3.12644997904247	0.814443063736145
+233.22	13.7718567928396	3.12645103701135	0.815612766473342
+246.43	13.7727565902306	3.12645209420587	0.797666658778427
+245.29	13.7736563879272	3.12645315062602	0.804298424226193
+246.35	13.7745561859293	3.12645420627181	0.808065928972374
+241.1	13.7754559842365	3.12645526114324	0.809351409035216
+252.75	13.7763557828488	3.1264563152403	0.80079042057453
+235.58	13.7772555817658	3.12645736856299	0.80581887151826
+236.29	13.7781553809873	3.12645842111131	0.805590059582232
+245.44	13.7790551805131	3.12645947288526	0.81695040029447
+239.74	13.779954980343	3.12646052388483	0.809820188209809
+237.22	13.7808547804768	3.12646157411004	0.812860984357837
+236.61	13.7817545809142	3.12646262356086	0.812281330942419
+238.87	13.782654381655	3.12646367223732	0.818737278712115
+246.45	13.783554182699	3.12646472013939	0.796313367798214
+244.47	13.7844539840459	3.12646576726709	0.819167728807495
+243.24	13.7853537856956	3.1264668136204	0.802968370023363
+243.44	13.7862535876478	3.12646785919934	0.816691873437056
+244.77	13.7871533899023	3.12646890400389	0.809876457763782
+236.92	13.7880531924589	3.12646994803405	0.818313602319401
+235.72	13.7889529953173	3.12647099128984	0.803382134315817
+225.85	13.7898527984773	3.12647203377123	0.818909762858023
+238.8	13.7907526019388	3.12647307547824	0.813328241954778
+249.21	13.7916524057013	3.12647411641086	0.814919839789917
+252.85	13.7925522097649	3.12647515656908	0.809323498039451
+255.04	13.7934520141291	3.12647619595292	0.812085274601158
+244.89	13.7943518187939	3.12647723456236	0.818633631701803
+249.44	13.7952516237589	3.12647827239741	0.8213162559323
+235.96	13.796151429024	3.12647930945807	0.818824960759427
+233.13	13.7970512345889	3.12648034574432	0.8157406073724
+243.12	13.7979510404535	3.12648138125618	0.811447163977047
+237.32	13.7988508466173	3.12648241599364	0.814878648104342
+236.8	13.7997506530804	3.1264834499567	0.820646460622559
+243.14	13.8006504598424	3.12648448314535	0.815754077545899
+232.28	13.7115721791858	3.1254739669614	0.833136130992365
+232.25	13.712471954818	3.12547507571377	0.843473006302197
+231.52	13.7133717307708	3.12547618369209	0.81904876327211
+231.74	13.714271507044	3.12547729089636	0.831721655754205
+234.56	13.7151712836375	3.12547839732658	0.816017993058969
+236.58	13.7160710605509	3.12547950298274	0.812628413185243
+238.83	13.7169708377841	3.12548060786485	0.819894999219932
+238.72	13.7178706153368	3.1254817119729	0.81203637233788
+224.96	13.7187703932088	3.1254828153069	0.812200610834271
+220.34	13.7196701713999	3.12548391786684	0.814014871085074
+236.78	13.7205699499098	3.12548501965271	0.8098110700879
+230.65	13.7214697287384	3.12548612066453	0.818714296595323
+240.22	13.7223695078855	3.12548722090228	0.806377104638955
+233.01	13.7232692873507	3.12548832036597	0.810589017077252
+232.34	13.7241690671338	3.12548941905559	0.81852854655927
+234.9	13.7250688472347	3.12549051697114	0.823087406802761
+237.65	13.7259686276532	3.12549161411263	0.807048176862651
+232.99	13.7268684083889	3.12549271048004	0.812411841972315
+237.39	13.7277681894417	3.12549380607339	0.791083923408891
+244.32	13.7286679708113	3.12549490089266	0.798014906263922
+241.46	13.7295677524976	3.12549599493786	0.807508135750814
+243.92	13.7304675345002	3.12549708820898	0.805123423095585
+244.09	13.7313673168191	3.12549818070603	0.803675499261792
+236.65	13.7322670994538	3.125499272429	0.803764377831997
+240.85	13.7331668824044	3.12550036337789	0.794784388657552
+234.49	13.7340666656704	3.1255014535527	0.812496312466812
+242.46	13.7349664492517	3.12550254295343	0.814944804415647
+250.51	13.735866233148	3.12550363158007	0.81831179740139
+247.08	13.7367660173592	3.12550471943263	0.811662857079758
+247.54	13.7376658018849	3.1255058065111	0.81413220174383
+248.42	13.7385655867251	3.12550689281549	0.810404431369277
+245.38	13.7394653718794	3.12550797834579	0.809052689302198
+242.23	13.7403651573477	3.12550906310199	0.800305370645641
+246.38	13.7412649431297	3.12551014708411	0.805903713248214
+248.22	13.7421647292251	3.12551123029214	0.797878280290341
+243.9	13.7430645156338	3.12551231272606	0.80664443832022
+254.04	13.7439643023556	3.1255133943859	0.814711632803604
+235.81	13.7448640893901	3.12551447527164	0.81000409307498
+244.18	13.7457638767373	3.12551555538328	0.807384673676234
+240.53	13.7466636643968	3.12551663472082	0.814707308939885
+239.13	13.7475634523685	3.12551771328426	0.813949552681985
+252.06	13.7484632406521	3.12551879107359	0.800348475122305
+247.64	13.7493630292474	3.12551986808883	0.799184782608696
+245.85	13.7502628181541	3.12552094432996	0.817795843971734
+248.73	13.7511626073721	3.12552201979698	0.811677245954137
+234.26	13.7520623969012	3.1255230944899	0.825503305485197
+241.01	13.752962186741	3.12552416840871	0.812562267391927
+240.49	13.7538619768914	3.12552524155341	0.808323701227703
+245.08	13.7547617673521	3.12552631392399	0.800155889655837
+245.71	13.755661558123	3.12552738552047	0.794668808165961
+248.99	13.7565613492038	3.12552845634283	0.813485998497526
+249.12	13.7574611405943	3.12552952639107	0.820348218313036
+248.85	13.7583609322942	3.1255305956652	0.802283076244347
+250.98	13.7592607243033	3.12553166416521	0.813291874816618
+247.29	13.7601605166215	3.1255327318911	0.809519105836227
+241.65	13.7610603092484	3.12553379884287	0.811666666666667
+246.13	13.7619601021839	3.12553486502052	0.801938907051269
+243.91	13.7628598954278	3.12553593042405	0.821794646517894
+247.29	13.7637596889797	3.12553699505345	0.815409944023708
+248.93	13.7646594828396	3.12553805890873	0.792733986505613
+248.87	13.7655592770071	3.12553912198988	0.812986310891433
+254.34	13.766459071482	3.1255401842969	0.798798726937711
+259.66	13.7673588662642	3.12554124582979	0.799100810046122
+250.93	13.7682586613533	3.12554230658855	0.799737661148237
+246.37	13.7691584567492	3.12554336657317	0.814448492421243
+238.39	13.7700582524517	3.12554442578367	0.812596042274281
+249.56	13.7709580484605	3.12554548422003	0.790296746779101
+240.83	13.7718578447754	3.12554654188225	0.794241416600176
+240.84	13.7727576413961	3.12554759877034	0.80773161977355
+238.15	13.7736574383225	3.12554865488428	0.817823471104862
+246.36	13.7745572355543	3.12554971022409	0.813295119329832
+251.55	13.7754570330914	3.12555076478975	0.802988270413466
+248.94	13.7763568309334	3.12555181858128	0.806363891981003
+242.96	13.7772566290801	3.12555287159865	0.81167479286844
+242.73	13.7781564275314	3.12555392384189	0.803440696994134
+239	13.779056226287	3.12555497531097	0.810791975318309
+232.8	13.7799560253467	3.12555602600591	0.813202647496596
+236.09	13.7808558247102	3.1255570759267	0.812627590473245
+233.84	13.7817556243774	3.12555812507334	0.81230265790339
+241.6	13.7826554243479	3.12555917344583	0.807202418421032
+243.11	13.7835552246217	3.12556022104416	0.809254951907955
+242.68	13.7844550251984	3.12556126786834	0.80628459414124
+241.28	13.7853548260778	3.12556231391836	0.806111217739061
+233.96	13.7862546272598	3.12556335919423	0.807737101212401
+234.55	13.787154428744	3.12556440369594	0.81498438878842
+229.27	13.7880542305304	3.12556544742349	0.814953053246498
+226.73	13.7889540326185	3.12556649037687	0.814215733053408
+241.49	13.7898538350083	3.1255675325561	0.801020387388891
+245.79	13.7907536376995	3.12556857396116	0.811535021787529
+242.2	13.7916534406918	3.12556961459206	0.811345166686444
+250.26	13.7925532439851	3.12557065444879	0.812133846645465
+247.33	13.7934530475791	3.12557169353136	0.819527055357454
+240.48	13.7943528514736	3.12557273183975	0.820223305318397
+242.51	13.7952526556684	3.12557376937398	0.81133295859674
+236.01	13.7961524601632	3.12557480613403	0.820569393125814
+226.63	13.7970522649578	3.12557584211992	0.815437730013546
+241.18	13.7979520700521	3.12557687733162	0.815183418325383
+237.93	13.7988518754457	3.12557791176916	0.808643723549737
+231.57	13.7997516811385	3.12557894543252	0.812772600332612
+229.87	13.8006514871302	3.1255799783217	0.815567698651367
+229.66	13.711573282403	3.12456949285867	0.830757571948324
+236.43	13.7124730572652	3.12457060128957	0.819361493407196
+226.49	13.7133728324481	3.12457170894664	0.825253659772566
+228.53	13.7142726079514	3.12457281582989	0.826424710592899
+238.67	13.7151723837749	3.12457392193931	0.806517739816032
+236.67	13.7160721599184	3.1245750272749	0.818283689994216
+235.22	13.7169719363817	3.12457613183666	0.817156792641712
+223.48	13.7178717131645	3.12457723562459	0.815374744681456
+227.58	13.7187714902665	3.12457833863869	0.802580253098028
+223.69	13.7196712676877	3.12457944087895	0.810593002080638
+232.22	13.7205710454278	3.12458054234537	0.811042468288469
+233.3	13.7214708234864	3.12458164303796	0.812084773311872
+237.83	13.7223706018635	3.12458274295671	0.809540195277216
+240.46	13.7232703805588	3.12458384210162	0.814263590308948
+241.7	13.724170159572	3.12458494047269	0.82147822985142
+241.3	13.725069938903	3.12458603806991	0.804983934086966
+241.53	13.7259697185515	3.12458713489329	0.811100928943256
+238.47	13.7268694985173	3.12458823094283	0.82278317338084
+236.86	13.7277692788001	3.12458932621852	0.812616930165053
+239.01	13.7286690593998	3.12459042072036	0.820360443921958
+250.55	13.7295688403161	3.12459151444835	0.790092174936262
+247.54	13.7304686215489	3.12459260740249	0.799291084197149
+234.47	13.7313684030978	3.12459369958278	0.79601934198983
+231.53	13.7322681849626	3.12459479098922	0.80497005938702
+239.89	13.7331679671432	3.1245958816218	0.797664670903073
+242.92	13.7340677496392	3.12459697148052	0.806037186854128
+253.3	13.7349675324506	3.12459806056539	0.812705536565248
+251.42	13.735867315577	3.1245991488764	0.804908270315328
+244.33	13.7367670990182	3.12460023641355	0.810889075388815
+244.26	13.737666882774	3.12460132317683	0.803938556643095
+248.5	13.7385666668442	3.12460240916626	0.804767078636425
+243.19	13.7394664512286	3.12460349438182	0.805715322919148
+241.44	13.7403662359269	3.12460457882351	0.808517069012283
+250.02	13.7412660209389	3.12460566249134	0.799752634207835
+257.7	13.7421658062644	3.1246067453853	0.786105185788814
+252.91	13.7430655919031	3.12460782750539	0.820629616227837
+265.22	13.7439653778549	3.1246089088516	0.812673010976298
+249.77	13.7448651641195	3.12460998942395	0.816522099796224
+240.36	13.7457649506967	3.12461106922242	0.816557208595809
+243.18	13.7466647375863	3.12461214824702	0.80619755138045
+249.9	13.747564524788	3.12461322649774	0.792714929993557
+248.69	13.7484643123016	3.12461430397459	0.800407902103495
+246.45	13.7493641001269	3.12461538067755	0.802588957697059
+257.15	13.7502638882637	3.12461645660664	0.795149099569835
+253.64	13.7511636767117	3.12461753176184	0.806660852501908
+236.65	13.7520634654708	3.12461860614316	0.824245185277715
+235.28	13.7529632545406	3.1246196797506	0.81289781456746
+233.55	13.7538630439211	3.12462075258415	0.815603792197708
+235.86	13.7547628336118	3.12462182464381	0.806729764960206
+239.83	13.7556626236128	3.12462289592959	0.802462524594819
+238.34	13.7565624139236	3.12462396644148	0.810013937170594
+245.58	13.757462204544	3.12462503617947	0.804992782609038
+245	13.758361995474	3.12462610514358	0.801949866166501
+246.37	13.7592617867131	3.12462717333379	0.813784682687122
+241.23	13.7601615782613	3.1246282407501	0.818676357641946
+242.93	13.7610613701183	3.12462930739252	0.822100823159968
+247.88	13.7619611622838	3.12463037326104	0.806455662927608
+245.16	13.7628609547576	3.12463143835567	0.817534720937632
+247.16	13.7637607475396	3.12463250267639	0.800023630420228
+246.01	13.7646605406294	3.12463356622321	0.805739302335818
+250.93	13.7655603340269	3.12463462899613	0.810529293269065
+253.12	13.7664601277319	3.12463569099515	0.798133715998192
+248.42	13.7673599217441	3.12463675222026	0.809676153458038
+242.43	13.7682597160632	3.12463781267146	0.809244799357377
+247.22	13.7691595106891	3.12463887234876	0.811637569637234
+233.72	13.7700593056216	3.12463993125215	0.81197813223039
+251.41	13.7709591008604	3.12464098938162	0.796640485881455
+247.25	13.7718588964053	3.12464204673719	0.80551677061032
+245.51	13.772758692256	3.12464310331884	0.80343940166714
+246.8	13.7736584884124	3.12464415912658	0.802309497780233
+255.33	13.7745582848742	3.1246452141604	0.805862347441337
+255.85	13.7754580816412	3.1246462684203	0.802956905166955
+245.79	13.7763578787132	3.12464732190629	0.80613882318942
+237.42	13.77725767609	3.12464837461836	0.812708555200568
+232.95	13.7781574737712	3.1246494265565	0.81203835819136
+235.38	13.7790572717568	3.12465047772073	0.803569555499972
+229.76	13.7799570700465	3.12465152811103	0.818469852258142
+243.96	13.78085686864	3.1246525777274	0.812983050467206
+247.61	13.7817566675371	3.12465362656985	0.80054433120766
+238.68	13.7826564667377	3.12465467463837	0.818908072231388
+238.78	13.7835562662414	3.12465572193297	0.812426793272009
+236.99	13.7844560660481	3.12465676845363	0.819492192353891
+243.93	13.7853558661575	3.12465781420036	0.812924638664172
+235.56	13.7862556665695	3.12465885917316	0.804354731699471
+240.11	13.7871554672837	3.12465990337203	0.81335850837857
+229.24	13.7880552683	3.12466094679696	0.820108738476085
+232.76	13.7889550696181	3.12466198944795	0.809765913790172
+246.81	13.7898548712379	3.12466303132501	0.798168027912765
+244.98	13.790754673159	3.12466407242813	0.807929332053787
+250.9	13.7916544753813	3.12466511275731	0.812573421303445
+252.05	13.7925542779046	3.12466615231254	0.80531274525344
+250.41	13.7934540807285	3.12466719109384	0.815467620447691
+244.71	13.794353883853	3.12466822910119	0.80953043424495
+240.65	13.7952536872777	3.12466926633459	0.789998146869051
+235.33	13.7961534910025	3.12467030279405	0.809349451584357
+231.48	13.7970532950271	3.12467133847956	0.796117090489198
+240.99	13.7979530993513	3.12467237339112	0.812372451926409
+232.34	13.7988529039749	3.12467340752873	0.815980194617559
+227.23	13.7997527088977	3.12467444089239	0.824279822958051
+228.24	13.8006525141193	3.12467547348209	0.822636230252158
+226.97	13.7115743852992	3.12366501873995	0.828899835796388
+233.44	13.7124741593918	3.12366612684938	0.823575092696906
+231.2	13.713373933805	3.1236672341852	0.826352650869108
+230.12	13.7142737085386	3.12366834074743	0.831958663628486
+243.19	13.7151734835924	3.12366944653605	0.815726167250964
+234.32	13.7160732589662	3.12367055155107	0.824586855505361
+238.98	13.7169730346598	3.12367165579248	0.816261056196297
+234.27	13.7178728106728	3.12367275926029	0.825056329354324
+230.34	13.7187725870052	3.12367386195448	0.830032759471956
+236.48	13.7196723636567	3.12367496387507	0.824978216671507
+238.61	13.720572140627	3.12367606502204	0.818508628917551
+236.3	13.721471917916	3.12367716539541	0.810890879321969
+237.8	13.7223716955234	3.12367826499515	0.822909855871734
+239.97	13.723271473449	3.12367936382129	0.819377056596065
+239.54	13.7241712516925	3.1236804618738	0.814139922064633
+241.31	13.7250710302537	3.1236815591527	0.809514456761912
+249.57	13.7259708091325	3.12368265565797	0.81316743447007
+238.34	13.7268705883286	3.12368375138963	0.814089365768762
+241.95	13.7277703678417	3.12368484634766	0.812956706799816
+242.3	13.7286701476717	3.12368594053207	0.807867894803418
+246.93	13.7295699278183	3.12368703394286	0.79951965520033
+242.35	13.7304697082813	3.12368812658002	0.791364217081777
+237.56	13.7313694890605	3.12368921844355	0.794726412895061
+240.34	13.7322692701556	3.12369030953345	0.799302824597369
+238.56	13.7331690515665	3.12369139984973	0.803249855412332
+245.36	13.7340688332928	3.12369248939237	0.805050357173692
+247.16	13.7349686153344	3.12369357816137	0.806163364368499
+246.8	13.7358683976911	3.12369466615675	0.81397342794316
+236.5	13.7367681803626	3.12369575337848	0.815680227730993
+238.59	13.7376679633487	3.12369683982658	0.811089164252722
+246.79	13.7385677466492	3.12369792550104	0.810514732760277
+248.74	13.7394675302638	3.12369901040187	0.82935521974665
+247.3	13.7403673141924	3.12370009452905	0.809947357468226
+251.3	13.7412670984346	3.12370117788259	0.795037442988664
+251.66	13.7421668829904	3.12370226046248	0.789353427120839
+257.63	13.7430666678594	3.12370334226873	0.806916512059369
+258.52	13.7439664530415	3.12370442330133	0.822413893344368
+265.24	13.7448662385363	3.12370550356029	0.810382290299679
+249.78	13.7457660243438	3.1237065830456	0.804941334886641
+245.81	13.7466658104636	3.12370766175725	0.806652719824133
+244.2	13.7475655968956	3.12370873969526	0.800085897425508
+253.49	13.7484653836394	3.12370981685961	0.798675622134001
+251.95	13.749365170695	3.1237108932503	0.805043650599277
+251.55	13.7502649580621	3.12371196886734	0.795771666875706
+238.82	13.7511647457403	3.12371304371073	0.802212013203428
+227.89	13.7520645337296	3.12371411778045	0.802661549372158
+228.51	13.7529643220297	3.12371519107652	0.811907418855019
+236.86	13.7538641106404	3.12371626359892	0.818043424775495
+235.98	13.7547638995614	3.12371733534767	0.808274296449959
+242.13	13.7556636887926	3.12371840632274	0.786998883036801
+235.59	13.7565634783336	3.12371947652416	0.815609364214599
+233.96	13.7574632681844	3.1237205459519	0.811726381789358
+243.03	13.7583630583445	3.12372161460598	0.811706166349986
+236.84	13.7592628488139	3.12372268248639	0.825573251759037
+240.32	13.7601626395923	3.12372374959313	0.823249020875871
+242.53	13.7610624306795	3.1237248159262	0.807672062906576
+256.94	13.7619622220753	3.1237258814856	0.799656949519769
+249.25	13.7628620137794	3.12372694627132	0.806910709224747
+254.65	13.7637618057916	3.12372801028337	0.790779343390651
+248.95	13.7646615981116	3.12372907352174	0.802085047790708
+252.5	13.7655613907394	3.12373013598643	0.801383581241304
+243.81	13.7664611836746	3.12373119767744	0.807415784162436
+228.53	13.767360976917	3.12373225859477	0.812350410731539
+233.86	13.7682607704663	3.12373331873842	0.820853463650487
+235.9	13.7691605643225	3.12373437810838	0.816590068463208
+242.12	13.7700603584852	3.12373543670466	0.808040028264232
+254.99	13.7709601529542	3.12373649452726	0.797456157986776
+249.38	13.7718599477293	3.12373755157616	0.791656647235881
+237.33	13.7727597428102	3.12373860785138	0.816282021080149
+246.23	13.7736595381969	3.12373966335291	0.809052323007161
+250.05	13.7745593338889	3.12374071808075	0.808768516004465
+252.19	13.7754591298861	3.1237417720349	0.803214440631017
+241.43	13.7763589261883	3.12374282521535	0.816649200693558
+240.66	13.7772587227953	3.1237438776221	0.81318883314824
+229.79	13.7781585197068	3.12374492925516	0.805409249138009
+234.79	13.7790583169226	3.12374598011452	0.811764616373686
+227.51	13.7799581144424	3.12374703020019	0.815254841858113
+233.34	13.7808579122661	3.12374807951215	0.822653130718196
+244.05	13.7817577103935	3.12374912805041	0.815605284281438
+228.88	13.7826575088243	3.12375017581497	0.82353711117955
+233.5	13.7835573075582	3.12375122280582	0.819695115338735
+241.65	13.7844571065951	3.12375226902297	0.804644981647893
+236.79	13.7853569059347	3.12375331446641	0.804475116671553
+240.88	13.7862567055769	3.12375435913615	0.801553341622128
+243.87	13.7871565055213	3.12375540303217	0.807519421125172
+240.03	13.7880563057678	3.12375644615448	0.799636316822761
+235.77	13.7889561063161	3.12375748850308	0.812647884657854
+241.74	13.789855907166	3.12375853007797	0.80570823177046
+254.11	13.7907557083174	3.12375957087915	0.799727123249332
+246.63	13.7916555097699	3.12376061090661	0.81325083823242
+247.63	13.7925553115233	3.12376165016035	0.802497728241377
+246.89	13.7934551135775	3.12376268864037	0.805670684261509
+240.76	13.7943549159321	3.12376372634667	0.803390998633919
+239.15	13.7952547185871	3.12376476327925	0.81219576397374
+234.26	13.796154521542	3.12376579943812	0.820033429122117
+234.5	13.7970543247968	3.12376683482325	0.816976765856992
+232.92	13.7979541283512	3.12376786943466	0.811888530080134
+233.72	13.798853932205	3.12376890327235	0.803237908983418
+228.94	13.7997537363579	3.12376993633631	0.810203139801313
+228.81	13.8006535408098	3.12377096862654	0.810495999256756
+224.84	13.7115754878746	3.12276054460523	0.823916917963257
+230.89	13.7124752611977	3.12276165239319	0.819445917084476
+235.04	13.7133750348414	3.12276275940777	0.824766667840665
+239.61	13.7142748088055	3.12276386564898	0.823910452780804
+233.91	13.7151745830899	3.1227649711168	0.820804116885853
+228.88	13.7160743576942	3.12276607581125	0.817389022658517
+240.1	13.7169741326183	3.12276717973231	0.83037741895036
+242.03	13.7178739078619	3.12276828288	0.821201232032854
+239.74	13.7187736834248	3.12276938525429	0.828001804176879
+231.57	13.7196734593068	3.1227704868552	0.82080046319751
+235.94	13.7205732355077	3.12277158768273	0.827596286842818
+233.37	13.7214730120272	3.12277268773686	0.810627802863798
+241.98	13.7223727888651	3.12277378701761	0.812064787263413
+238.22	13.7232725660212	3.12277488552497	0.823904035367518
+245.74	13.7241723434952	3.12277598325893	0.813807883322728
+251.39	13.725072121287	3.1227770802195	0.81622109645383
+238.68	13.7259718993963	3.12277817640667	0.798789843239041
+241.69	13.7268716778229	3.12277927182045	0.787493427830094
+248.54	13.7277714565665	3.12278036646083	0.813486084762308
+242.86	13.728671235627	3.12278146032781	0.809854844681542
+242.17	13.7295710150041	3.12278255342139	0.800927611479588
+240.78	13.7304707946976	3.12278364574156	0.794163064248667
+237.46	13.7313705747073	3.12278473728834	0.800116322612
+238	13.7322703550329	3.12278582806171	0.804834406923027
+235.76	13.7331701356743	3.12278691806167	0.802885003471045
+245.64	13.7340699166311	3.12278800728823	0.798669300992558
+243.42	13.7349696979032	3.12278909574138	0.807671779639385
+233.77	13.7358694794904	3.12279018342112	0.800583995923352
+237.36	13.7367692613924	3.12279127032744	0.810691181477698
+237.08	13.737669043609	3.12279235646036	0.824826937198343
+252.13	13.7385688261399	3.12279344181986	0.800411168840878
+246.04	13.7394686089851	3.12279452640594	0.80131279776969
+247.91	13.7403683921441	3.12279561021861	0.788111433430029
+245.65	13.7412681756169	3.12279669325786	0.800063246106412
+250.2	13.7421679594031	3.12279777552369	0.79688388490845
+251.29	13.7430677435026	3.1227988570161	0.807934647912634
+253.58	13.7439675279152	3.12279993773509	0.810209949307348
+248.47	13.7448673126405	3.12280101768066	0.813893385795904
+249.37	13.7457670976785	3.1228020968528	0.810141268497709
+241.71	13.7466668830288	3.12280317525151	0.815848404587876
+251.46	13.7475666686912	3.1228042528768	0.801399413790073
+252.96	13.7484664546656	3.12280532972865	0.80743332135088
+253.4	13.7493662409516	3.12280640580708	0.801692729807937
+231.76	13.7502660275491	3.12280748111208	0.811728579213454
+226.29	13.7511658144579	3.12280855564364	0.795461120432969
+233.45	13.7520656016777	3.12280962940177	0.801160667383746
+233.88	13.7529653892083	3.12281070238647	0.816334069527081
+234.85	13.7538651770494	3.12281177459773	0.802690060426481
+231.22	13.7547649652009	3.12281284603555	0.812203679667852
+227.47	13.7556647536625	3.12281391669993	0.817881592341345
+228.36	13.756564542434	3.12281498659087	0.804940909449915
+228.76	13.7574643315152	3.12281605570837	0.822355357884668
+232.54	13.7583641209059	3.12281712405243	0.82494980216146
+237.73	13.7592639106057	3.12281819162304	0.806852939892965
+234.92	13.7601637006146	3.1228192584202	0.810783015064627
+239.45	13.7610634909323	3.12282032444392	0.819941267166537
+249.31	13.7619632815585	3.12282138969419	0.817712638046905
+254.06	13.762863072493	3.12282245417101	0.816474608336664
+252.24	13.7637628637357	3.12282351787438	0.804145321746918
+242.73	13.7646626552862	3.1228245808043	0.805463917947209
+241.02	13.7655624471444	3.12282564296076	0.813637237191067
+240.85	13.76646223931	3.12282670434377	0.805552543543652
+226.67	13.7673620317829	3.12282776495332	0.828887785650885
+221.43	13.7682618245627	3.12282882478941	0.819045827044642
+227.3	13.7691616176493	3.12282988385205	0.820775350577816
+236.41	13.7700614110424	3.12283094214122	0.815110378125518
+245.73	13.7709612047419	3.12283199965693	0.809077555816686
+249.7	13.7718609987474	3.12283305639919	0.804590416680565
+247.69	13.7727607930588	3.12283411236797	0.798693654350055
+244.99	13.7736605876759	3.12283516756329	0.812250810044171
+245.92	13.7745603825984	3.12283622198515	0.803830841681249
+255.73	13.775460177826	3.12283727563353	0.803778051173438
+252.04	13.7763599733587	3.12283832850845	0.798188239393123
+230.42	13.7772597691961	3.12283938060989	0.817372453112584
+238.17	13.778159565338	3.12284043193787	0.819541465162099
+234.07	13.7790593617842	3.12284148249237	0.816402754542271
+231.61	13.7799591585345	3.12284253227339	0.811946150623315
+232.04	13.7808589555887	3.12284358128094	0.82552904948892
+234.85	13.7817587529465	3.12284462951502	0.826128775687624
+237.32	13.7826585506076	3.12284567697561	0.806701264515926
+227.37	13.783558348572	3.12284672366272	0.813065613163361
+237.49	13.7844581468393	3.12284776957636	0.814938154138915
+247.25	13.7853579454094	3.12284881471651	0.800498497812673
+249.95	13.786257744282	3.12284985908318	0.803387770367138
+250.19	13.7871575434568	3.12285090267636	0.80394670785866
+255.08	13.7880573429337	3.12285194549606	0.803586019764735
+242.51	13.7889571427125	3.12285298754227	0.815182435536613
+242.59	13.7898569427928	3.12285402881499	0.805603619850689
+252.77	13.7907567431746	3.12285506931422	0.809691774195949
+248.27	13.7916565438575	3.12285610903996	0.812014392042584
+241.17	13.7925563448414	3.1228571479922	0.81252763791806
+252.92	13.7934561461259	3.12285818617096	0.800557222290477
+246.02	13.794355947711	3.12285922357621	0.80169844823593
+242.06	13.7952557495963	3.12286026020798	0.819768891235171
+250.7	13.7961555517817	3.12286129606624	0.815581084287222
+251.11	13.7970553542669	3.122862331151	0.830628694945913
+246.4	13.7979551570517	3.12286336546227	0.804172436966054
+242.74	13.7988549601359	3.12286439900003	0.814848989922936
+232.7	13.7997547635192	3.12286543176429	0.825115654379943
+222.35	13.8006545672015	3.12286646375505	0.825375160300878
+226.77	13.7115765901291	3.12185607045453	0.834746708324035
+225.91	13.7124763626829	3.12185717792102	0.820695093614464
+227.34	13.7133761355574	3.12185828461436	0.822270066100094
+237.42	13.7142759087523	3.12185939053454	0.825424369762749
+233.32	13.7151756822674	3.12186049568157	0.831983523004957
+230.37	13.7160754561025	3.12186160005545	0.819918553811013
+233.6	13.7169752302573	3.12186270365616	0.82067280389754
+239.02	13.7178750047317	3.12186380648372	0.814752762180764
+235.19	13.7187747795254	3.12186490853812	0.824018515965667
+237.21	13.7196745546381	3.12186600981936	0.832127473888686
+246.4	13.7205743300697	3.12186711032743	0.827453281107104
+242.63	13.7214741058199	3.12186821006234	0.813218985657253
+243.87	13.7223738818886	3.12186930902409	0.815431063401543
+248.67	13.7232736582754	3.12187040721267	0.814369982862812
+251.29	13.7241734349802	3.12187150462808	0.799542158375532
+243.12	13.7250732120027	3.12187260127032	0.807717432758497
+232.73	13.7259729893427	3.12187369713939	0.808498474075386
+250.69	13.7268727670001	3.12187479223529	0.796868956409966
+252.65	13.7277725449744	3.12187588655801	0.800830974616677
+251.09	13.7286723232657	3.12187698010756	0.806078805400733
+253.8	13.7295721018735	3.12187807288394	0.79310694848951
+245.97	13.7304718807977	3.12187916488713	0.801495501810959
+245.15	13.7313716600381	3.12188025611715	0.804224113099733
+240.77	13.7322714395945	3.12188134657399	0.797053631819457
+241.18	13.7331712194666	3.12188243625765	0.805310016151233
+244.99	13.7340709996541	3.12188352516812	0.795976151375664
+245.99	13.734970780157	3.12188461330541	0.788931223336553
+234.19	13.7358705609749	3.12188570066951	0.809111988469011
+243.49	13.7367703421076	3.12188678726043	0.805662379751458
+237.02	13.7376701235549	3.12188787307816	0.824740465288905
+247.7	13.7385699053166	3.1218889581227	0.790419758004282
+246.26	13.7394696873924	3.12189004239405	0.784495048907917
+245.36	13.7403694697822	3.1218911258922	0.801213023373662
+246.11	13.7412692524857	3.12189220861717	0.804607183158878
+243.71	13.7421690355026	3.12189329056893	0.803185616175538
+254.26	13.7430688188328	3.1218943717475	0.804672716447795
+250.44	13.7439686024761	3.12189545215288	0.811276778320287
+246.5	13.7448683864322	3.12189653178505	0.818010601395617
+243.57	13.7457681707008	3.12189761064403	0.821982212777107
+246.23	13.7466679552818	3.1218986887298	0.810463701500608
+239.77	13.747567740175	3.12189976604237	0.818509606430609
+242.04	13.74846752538	3.12190084258174	0.812284809254924
+246.77	13.7493673108968	3.1219019183479	0.807423325169062
+232.07	13.750267096725	3.12190299334085	0.808619448072158
+227.93	13.7511668828644	3.1219040675606	0.810390626608735
+237.25	13.7520666693149	3.12190514100713	0.803527484726395
+242.42	13.7529664560762	3.12190621368046	0.811787837150514
+252.95	13.753866243148	3.12190728558057	0.800759804489333
+232.86	13.7547660305302	3.12190835670747	0.803699178496214
+233.18	13.7556658182225	3.12190942706116	0.816310654059473
+227.86	13.7565656062247	3.12191049664163	0.811216353356207
+228.17	13.7574653945366	3.12191156544888	0.81482440795215
+234.2	13.758365183158	3.12191263348291	0.820279685535312
+233.6	13.7592649720885	3.12191370074372	0.815729017462138
+231.41	13.7601647613281	3.12191476723131	0.817503159274225
+247.71	13.7610645508764	3.12191583294568	0.818986047293511
+261.45	13.7619643407333	3.12191689788683	0.803453983506423
+268.76	13.7628641308985	3.12191796205474	0.785621358674133
+255.89	13.7637639213719	3.12191902544944	0.790671376925236
+245.11	13.7646637121531	3.1219200880709	0.809110367247095
+223.66	13.765563503242	3.12192114991914	0.820056632163435
+230.57	13.7664632946383	3.12192221099414	0.820353409408673
+221.8	13.7673630863418	3.12192327129591	0.824397111029502
+220.59	13.7682628783523	3.12192433082445	0.817446398382076
+219.81	13.7691626706696	3.12192538957976	0.815659482537718
+235.27	13.7700624632934	3.12192644756183	0.801108327025287
+242.06	13.7709622562235	3.12192750477066	0.796967607477939
+232.03	13.7718620494597	3.12192856120625	0.811769646361456
+241.58	13.7727618430018	3.12192961686861	0.801031074697088
+240.56	13.7736616368495	3.12193067175772	0.812893537223095
+244.57	13.7745614310026	3.12193172587359	0.8140560744835
+250.47	13.775461225461	3.12193277921622	0.806464403083516
+245.44	13.7763610202243	3.1219338317856	0.809386741582521
+226.64	13.7772608152924	3.12193488358174	0.822233612436074
+224.25	13.7781606106649	3.12193593460462	0.830170393996666
+238.33	13.7790604063418	3.12193698485426	0.815038204796101
+246.67	13.7799602023228	3.12193803433065	0.818866449319191
+254.91	13.7808599986076	3.12193908303379	0.815526318634393
+258.16	13.781759795196	3.12194013096368	0.808356886748302
+257.24	13.7826595920879	3.12194117812031	0.784517384336537
+225.95	13.7835593892829	3.12194222450368	0.818648856922682
+242	13.7844591867809	3.1219432701138	0.806454387302332
+244.61	13.7853589845816	3.12194431495066	0.804968477819569
+252.79	13.7862587826848	3.12194535901427	0.797998414506062
+259.57	13.7871585810903	3.12194640230461	0.805663699537849
+258.7	13.7880583797978	3.12194744482169	0.814978932024049
+258.16	13.7889581788072	3.12194848656551	0.813181680000593
+258.12	13.7898579781182	3.12194952753606	0.804250916078639
+255.68	13.7907577777306	3.12195056773335	0.797060203035193
+253.74	13.7916575776442	3.12195160715737	0.785870549829941
+252.51	13.7925573778587	3.12195264580812	0.809694147290746
+250.39	13.7934571783739	3.1219536836856	0.792681750980266
+245.99	13.7943569791896	3.12195472078982	0.801284935161288
+251.47	13.7952567803056	3.12195575712076	0.800587601160019
+259.39	13.7961565817216	3.12195679267842	0.817221132399968
+252.21	13.7970563834374	3.12195782746282	0.824217842777563
+248.25	13.7979561854529	3.12195886147393	0.828689739112028
+240.65	13.7988559877677	3.12195989471177	0.832907786989472
+239.75	13.7997557903816	3.12196092717633	0.829604040812485
+226.27	13.8006555932945	3.12196195886762	0.834268782586398
+228.4	13.7115776920627	3.12095159628785	0.831622617985619
+225.91	13.7124774638475	3.12095270343287	0.829712967181552
+232.89	13.713377235953	3.12095380980496	0.821751407076124
+232.9	13.7142770083789	3.12095491540413	0.810582456363463
+222.25	13.715176781125	3.12095602023036	0.811517596896373
+227.52	13.716076554191	3.12095712428366	0.81840327759938
+233.13	13.7169763275768	3.12095822756403	0.818118032566628
+237.27	13.7178761012822	3.12095933007147	0.820889174076451
+237.81	13.7187758753068	3.12096043180597	0.824193078557168
+235.54	13.7196756496505	3.12096153276753	0.819996755610718
+239.61	13.7205754243131	3.12096263295616	0.821406215881796
+237.07	13.7214751992943	3.12096373237184	0.819023487713719
+243.72	13.7223749745939	3.12096483101459	0.81034226615622
+243.52	13.7232747502117	3.12096592888439	0.818313789141575
+255.81	13.7241745261474	3.12096702598125	0.794619723175595
+244.22	13.7250743024009	3.12096812230517	0.807513306613678
+242.13	13.7259740789719	3.12096921785613	0.811995337906261
+245.35	13.7268738558602	3.12097031263415	0.808318886921098
+251.72	13.7277736330655	3.12097140663922	0.806475324685066
+249.04	13.7286734105877	3.12097249987135	0.809180386676332
+250.28	13.7295731884265	3.12097359233052	0.800516399057534
+247.84	13.7304729665817	3.12097468401673	0.80518220232137
+244.02	13.731372745053	3.12097577492999	0.806617203820038
+240.73	13.7322725238403	3.1209768650703	0.80883310592905
+239.13	13.7331723029434	3.12097795443765	0.80643309130492
+238.78	13.7340720823619	3.12097904303204	0.801500390810711
+237.73	13.7349718620957	3.12098013085347	0.800061706810375
+240.95	13.7358716421445	3.12098121790194	0.808757135642246
+250.42	13.7367714225082	3.12098230417745	0.815132678009364
+245.12	13.7376712031864	3.12098338967999	0.793894094200979
+258.21	13.7385709841791	3.12098447440957	0.78891004474866
+247.59	13.7394707654858	3.12098555836618	0.787977227059612
+244.35	13.7403705471066	3.12098664154983	0.818760263479829
+247.93	13.741270329041	3.12098772396051	0.818036144145439
+253.87	13.7421701112889	3.12098880559821	0.80290869591455
+250.85	13.74306989385	3.12098988646294	0.799973656276392
+254.74	13.7439696767242	3.1209909665547	0.802772695550484
+251.12	13.7448694599112	3.12099204587349	0.802205698811676
+237.38	13.7457692434108	3.1209931244193	0.817534743982711
+247.81	13.7466690272227	3.12099420219213	0.814769493766597
+242.05	13.7475688113468	3.12099527919199	0.815919231641836
+230.59	13.7484685957828	3.12099635541886	0.814945556036008
+229.65	13.7493683805305	3.12099743087275	0.808228873848332
+232.78	13.7502681655896	3.12099850555367	0.805264325621735
+235.57	13.75116795096	3.12099957946159	0.810294578315642
+237.86	13.7520677366414	3.12100065259653	0.814556819181614
+243.37	13.7529675226336	3.12100172495849	0.809887684344174
+234.03	13.7538673089363	3.12100279654746	0.812199598007516
+232.01	13.7547670955494	3.12100386736344	0.820565778179269
+236.95	13.7556668824727	3.12100493740643	0.824353440242148
+231.06	13.7565666697058	3.12100600667642	0.813909759459481
+228.89	13.7574664572486	3.12100707517343	0.814848032689964
+234.42	13.7583662451008	3.12100814289744	0.813618951451331
+247.59	13.7592660332623	3.12100920984845	0.809692384224713
+258.84	13.7601658217328	3.12101027602647	0.80036170212766
+264.44	13.761065610512	3.12101134143149	0.780462312166747
+257.55	13.7619653995998	3.12101240606351	0.80353846811454
+274.76	13.7628651889959	3.12101346992252	0.798251335628188
+250.52	13.7637649787002	3.12101453300854	0.800539635647464
+236.01	13.7646647687123	3.12101559532155	0.812413748964988
+248.47	13.7655645590321	3.12101665686156	0.82143177335485
+219.69	13.7664643496593	3.12101771762856	0.817286314730368
+225.49	13.7673641405937	3.12101877762256	0.827087985707905
+219.06	13.7682639318351	3.12101983684354	0.823527995763324
+242.06	13.7691637233833	3.12102089529152	0.81355684345825
+266.82	13.770063515238	3.12102195296648	0.79752860617736
+263.49	13.770963307399	3.12102300986844	0.791228168697703
+239.94	13.7718630998661	3.12102406599737	0.807479726633326
+241.23	13.7727628926391	3.1210251213533	0.808186844864746
+252.9	13.7736626857177	3.1210261759362	0.807642430061704
+252.65	13.7745624791017	3.12102722974609	0.809699305441158
+259.48	13.775462272791	3.12102828278296	0.800390708416049
+260.55	13.7763620667852	3.12102933504681	0.803492830878011
+242.94	13.7772618610841	3.12103038653763	0.81287613989182
+231.72	13.7781616556876	3.12103143725544	0.821553660669906
+232.79	13.7790614505953	3.12103248720022	0.808668756186077
+255.87	13.7799612458072	3.12103353637197	0.799222303914823
+245.59	13.7808610413229	3.12103458477069	0.801990128960357
+247.5	13.7817608371422	3.12103563239639	0.817230159852879
+254	13.7826606332649	3.12103667924906	0.809540433021331
+238.32	13.7835604296908	3.1210377253287	0.80644221532841
+246.22	13.7844602264196	3.12103877063531	0.788474632223987
+246.4	13.7853600234512	3.12103981516888	0.811034094111017
+244.58	13.7862598207853	3.12104085892942	0.801891596069265
+260.2	13.7871596184217	3.12104190191692	0.793293849796153
+255.59	13.7880594163601	3.12104294413138	0.811274683143809
+262.87	13.7889592146004	3.12104398557281	0.779653512373408
+245.7	13.7898590131422	3.12104502624119	0.810654490106545
+256.83	13.7907588119855	3.12104606613654	0.778228555415675
+259.89	13.7916586111299	3.12104710525884	0.785110037660379
+264.9	13.7925584105753	3.1210481436081	0.791861864855125
+253.43	13.7934582103214	3.12104918118432	0.793859424945251
+253.8	13.7943580103679	3.12105021798748	0.789672638700519
+252.7	13.7952578107148	3.1210512540176	0.81154319336721
+261.97	13.7961576113616	3.12105228927468	0.815233232454732
+255.36	13.7970574123083	3.1210533237587	0.807579144280659
+244.44	13.7979572135546	3.12105435746967	0.815454315158769
+233.56	13.7988570151003	3.12105539040758	0.820004116375825
+234.77	13.7997568169451	3.12105642257245	0.817969326197545
+219.95	13.8006566190888	3.12105745396426	0.824463103946837
+229.36	13.7115787936755	3.12004712210519	0.831130716280393
+228.21	13.7124785646915	3.12004822892874	0.819614711033275
+235.34	13.7133783360282	3.12004933497959	0.806899787662136
+232.42	13.7142781076853	3.12005044025773	0.81296832309898
+231.06	13.7151778796625	3.12005154476317	0.810130137627563
+230.2	13.7160776519598	3.1200526484959	0.808805488297014
+236.4	13.7169774245768	3.12005375145593	0.802948112289768
+237.76	13.7178771975133	3.12005485364324	0.813368791887327
+232.89	13.7187769707692	3.12005595505784	0.80495368538364
+234.49	13.7196767443441	3.12005705569973	0.8173419984501
+239.02	13.7205765182378	3.12005815556891	0.81598651337272
+232.9	13.7214762924502	3.12005925466537	0.826833538867537
+230.73	13.722376066981	3.12006035298912	0.813029485817466
+233.54	13.72327584183	3.12006145054015	0.804690147714028
+244.63	13.7241756169969	3.12006254731845	0.790408064784289
+249.29	13.7250753924816	3.12006364332404	0.790163621467264
+242.85	13.7259751682838	3.12006473855691	0.798945447984121
+241.27	13.7268749444032	3.12006583301705	0.807992318740527
+239.54	13.7277747208398	3.12006692670447	0.811404103617306
+245.41	13.7286744975931	3.12006801961916	0.793424327709903
+246.72	13.7295742746631	3.12006911176113	0.792884775476225
+240.85	13.7304740520495	3.12007020313036	0.801244130513304
+240.71	13.731373829752	3.12007129372687	0.81086877568575
+240.74	13.7322736077705	3.12007238355065	0.797050717202809
+234.5	13.7331733861047	3.12007347260169	0.794309364562707
+247.8	13.7340731647544	3.12007456088	0.792727725296387
+242.82	13.7349729437193	3.12007564838557	0.809119240469678
+242.3	13.7358727229993	3.12007673511841	0.802788618045614
+253.26	13.7367725025942	3.12007782107851	0.801468494331519
+247.72	13.7376722825036	3.12007890626587	0.787306519553676
+259.28	13.7385720627274	3.12007999068049	0.760397393965434
+255.51	13.7394718432653	3.12008107432236	0.813333993864141
+239.14	13.7403716241172	3.1200821571915	0.833321171560911
+255.27	13.7412714052828	3.12008323928788	0.807589496881405
+251.11	13.7421711867618	3.12008432061153	0.805328228322134
+247.74	13.7430709685542	3.12008540116242	0.803412395938409
+256.93	13.7439707506595	3.12008648094057	0.799824455111774
+248	13.7448705330777	3.12008755994597	0.809751483487655
+240.59	13.7457703158084	3.12008863817861	0.822065649747695
+243.65	13.7466700988515	3.1200897156385	0.803516320184616
+246.16	13.7475698822067	3.12009079232564	0.803515835303481
+237.84	13.7484696658738	3.12009186824003	0.805851253556963
+243.9	13.7493694498527	3.12009294338165	0.803560617152535
+239.99	13.750269234143	3.12009401775052	0.809958029182711
+247.4	13.7511690187445	3.12009509134663	0.806837250705506
+251.89	13.752068803657	3.12009616416998	0.810159183748237
+242.17	13.7529685888804	3.12009723622057	0.80597080286159
+242.37	13.7538683744143	3.12009830749839	0.797067252312757
+236.63	13.7547681602585	3.12009937800345	0.8117044341178
+244.12	13.7556679464129	3.12010044773574	0.810627330050168
+235.1	13.7565677328772	3.12010151669527	0.804306336755198
+237.27	13.7574675196511	3.12010258488203	0.812987586380892
+251.7	13.7583673067345	3.12010365229601	0.803372648259448
+244.31	13.7592670941271	3.12010471893723	0.808282663642134
+244.23	13.7601668818287	3.12010578480567	0.807901833664315
+253.97	13.7610666698391	3.12010684990134	0.802598869170385
+250.12	13.761966458158	3.12010791422424	0.804080987029421
+270.4	13.7628662467853	3.12010897777436	0.797622037690355
+252.87	13.7637660357206	3.1201100405517	0.812906194501804
+245.59	13.7646658249639	3.12011110255626	0.813049514113836
+245.81	13.7655656145148	3.12011216378804	0.816232164707945
+228.83	13.7664654043731	3.12011322424704	0.809017374470854
+226.18	13.7673651945387	3.12011428393326	0.816739162346542
+231.97	13.7682649850112	3.12011534284669	0.818824399032909
+241.78	13.7691647757905	3.12011640098734	0.814037502150353
+250.54	13.7700645668763	3.1201174583552	0.801391858731073
+257.48	13.7709643582684	3.12011851495027	0.78611516754154
+254.99	13.7718641499667	3.12011957077255	0.781299744491882
+232.51	13.7727639419707	3.12012062582204	0.805823914504259
+247.68	13.7736637342805	3.12012168009874	0.799733225076843
+252.59	13.7745635268956	3.12012273360265	0.797133077112709
+275.88	13.775463319816	3.12012378633376	0.793415800070333
+268.07	13.7763631130413	3.12012483829207	0.785282124153144
+257.04	13.7772629065713	3.12012588947759	0.790266299357208
+231.88	13.7781627004059	3.12012693989031	0.810692318025833
+237.68	13.7790624945448	3.12012798953023	0.813103930402361
+256.21	13.7799622889877	3.12012903839735	0.784843298537137
+248.36	13.7808620837345	3.12013008649166	0.807974796454802
+242.68	13.7817618787849	3.12013113381317	0.813948471400395
+244.84	13.7826616741387	3.12013218036188	0.816063430577412
+242.04	13.7835614697957	3.12013322613778	0.815729239783929
+238.83	13.7844612657557	3.12013427114087	0.811514390052018
+235.04	13.7853610620184	3.12013531537116	0.811284755209323
+236.72	13.7862608585836	3.12013635882863	0.804503064754314
+256.13	13.787160655451	3.12013740151329	0.80723793153268
+256.11	13.7880604526205	3.12013844342514	0.803516475051515
+260.14	13.7889602500919	3.12013948456418	0.796892233702155
+244.89	13.7898600478649	3.1201405249304	0.813733777162733
+252.33	13.7907598459392	3.1201415645238	0.797463449414299
+259.11	13.7916596443147	3.12014260334438	0.796382810360045
+265.4	13.7925594429912	3.12014364139215	0.797624717010162
+248.81	13.7934592419683	3.1201446786671	0.810608679965725
+250.96	13.794359041246	3.12014571516922	0.806459114778695
+251.18	13.7952588408239	3.12014675089852	0.813083776404656
+247.17	13.7961586407019	3.120147785855	0.805182837749758
+247.46	13.7970584408797	3.12014882003865	0.804168339197028
+242.49	13.797958241357	3.12014985344947	0.805843343638638
+239.19	13.7988580421338	3.12015088608747	0.81678808712446
+244.61	13.7997578432097	3.12015191795263	0.822423105986398
+223.96	13.8006576445845	3.12015294904497	0.811312134130173
+228.96	13.7115798949674	3.11914264790655	0.818606825619448
+228.79	13.7124796652148	3.11914375440864	0.821020119812474
+227.09	13.7133794357829	3.11914486013824	0.819253666552975
+229.37	13.7142792066714	3.11914596509537	0.815920048133649
+231.8	13.7151789778801	3.11914706928001	0.814964414772144
+230.15	13.7160787494088	3.11914817269217	0.817054002039549
+233.12	13.7169785212572	3.11914927533185	0.819212254327366
+234.47	13.7178782934252	3.11915037719904	0.814521157443402
+232.15	13.7187780659125	3.11915147829375	0.823479524185281
+235.25	13.7196778387188	3.11915257861597	0.815289465526497
+239.34	13.720577611844	3.1191536781657	0.818603599331782
+235.28	13.7214773852878	3.11915477694294	0.812243090886191
+231.49	13.72237715905	3.11915587494768	0.816402691889357
+237.38	13.7232769331304	3.11915697217993	0.801497461427527
+240.69	13.7241767075287	3.11915806863969	0.803017224619931
+254.37	13.7250764822448	3.11915916432695	0.785612906366676
+240.38	13.7259762572784	3.11916025924172	0.806935890925613
+248.64	13.7268760326292	3.11916135338398	0.798547492069862
+247.12	13.7277758082972	3.11916244675375	0.805082461900514
+240.7	13.7286755842819	3.11916353935101	0.797233635734917
+245.59	13.7295753605833	3.11916463117578	0.805311221061633
+247.1	13.7304751372011	3.11916572222803	0.807738235584931
+240.68	13.731374914135	3.11916681250779	0.813573198960946
+244.74	13.7322746913849	3.11916790201503	0.79595445475943
+249.76	13.7331744689505	3.11916899074977	0.798404305394295
+255.54	13.7340742468316	3.11917007871199	0.798994783245371
+249.5	13.7349740250279	3.11917116590171	0.802157956265931
+250.1	13.7358738035393	3.11917225231892	0.806360155822701
+252.04	13.7367735823656	3.11917333796361	0.809718444460781
+245.96	13.7376733615064	3.11917442283578	0.790729680930315
+245.97	13.7385731409616	3.11917550693544	0.785284845987432
+246.65	13.7394729207309	3.11917659026258	0.81932362287374
+242.43	13.7403727008142	3.11917767281721	0.827801590434832
+254.56	13.7412724812111	3.11917875459931	0.805788288120851
+247.47	13.7421722619216	3.11917983560889	0.808838651084941
+246.03	13.7430720429453	3.11918091584595	0.801286043596069
+249.19	13.743971824282	3.11918199531048	0.80004696305573
+248.84	13.7448716059315	3.11918307400249	0.819844460790265
+238.79	13.7457713878936	3.11918415192197	0.826394160583942
+246.65	13.7466711701681	3.11918522906892	0.803255037364846
+248.08	13.7475709527547	3.11918630544335	0.79793055138597
+247.03	13.7484707356532	3.11918738104524	0.811724517906336
+239.27	13.7493705188634	3.1191884558746	0.813747325689835
+239.23	13.7502703023851	3.11918952993143	0.804204983162879
+242.79	13.751170086218	3.11919060321572	0.804474038371256
+244.37	13.7520698703619	3.11919167572748	0.820628098446792
+248.76	13.7529696548166	3.1191927474667	0.797084482194834
+243.91	13.7538694395819	3.11919381843338	0.805333385583008
+241.37	13.7547692246575	3.11919488862751	0.807859988817248
+245.21	13.7556690100432	3.11919595804911	0.795470770207028
+242.71	13.7565687957389	3.11919702669817	0.813929345668834
+243.34	13.7574685817442	3.11919809457468	0.804325868409009
+242.44	13.7583683680589	3.11919916167865	0.802071364364716
+242.04	13.7592681546829	3.11920022801006	0.815199575224508
+244.79	13.7601679416158	3.11920129356894	0.805859155378867
+254.46	13.7610677288576	3.11920235835526	0.79741319766501
+252.7	13.7619675164079	3.11920342236903	0.792471694981805
+263.89	13.7628673042665	3.11920448561025	0.801421905903735
+256.15	13.7637670924332	3.11920554807891	0.810184393153874
+239.41	13.7646668809078	3.11920660977502	0.811415726883249
+234.11	13.76556666969	3.11920767069858	0.827937053955348
+222.82	13.7664664587797	3.11920873084958	0.819125172849866
+236.5	13.7673662481766	3.11920979022802	0.811759169614238
+235.07	13.7682660378805	3.1192108488339	0.811743010298967
+232.06	13.7691658278911	3.11921190666721	0.812838521159696
+240.93	13.7700656182083	3.11921296372797	0.815627441069705
+244.74	13.7709654088318	3.11921402001616	0.811572619740159
+250.52	13.7718651997613	3.11921507553179	0.817951459001465
+244.3	13.7727649909968	3.11921613027485	0.810763775000289
+239.54	13.7736647825378	3.11921718424534	0.800345915149049
+245.29	13.7745645743843	3.11921823744327	0.816133010482622
+252.27	13.775464366536	3.11921928986862	0.799268032530125
+244.74	13.7763641589926	3.1192203415214	0.810118042559355
+243.15	13.777263951754	3.11922139240161	0.814659420919263
+226.72	13.7781637448199	3.11922244250925	0.805652402723416
+236.86	13.7790635381901	3.11922349184431	0.812660150675893
+235.95	13.7799633318644	3.11922454040679	0.813511863739293
+231.48	13.7808631258425	3.1192255881967	0.807075946427189
+234.68	13.7817629201243	3.11922663521402	0.822967607880969
+236.77	13.7826627147094	3.11922768145877	0.813143477017909
+242.72	13.7835625095977	3.11922872693093	0.811752201639842
+235.99	13.784462304789	3.11922977163051	0.818210393563151
+231.89	13.785362100283	3.1192308155575	0.815355214222843
+235.74	13.7862618960795	3.11923185871191	0.81449684184706
+240.78	13.7871616921783	3.11923290109374	0.816434550846503
+252.26	13.7880614885791	3.11923394270297	0.803151979842169
+263.73	13.7889612852818	3.11923498353962	0.804239658471956
+255.74	13.7898610822861	3.11923602360367	0.810145057039883
+248.66	13.7907608795918	3.11923706289513	0.812284119928119
+252.33	13.7916606771986	3.119238101414	0.816384548077295
+250.99	13.7925604751064	3.11923913916027	0.817982471958741
+246.73	13.7934602733148	3.11924017613395	0.812805745347893
+246.84	13.7943600718238	3.11924121233503	0.811504529237283
+246.38	13.795259870633	3.11924224776351	0.813873121433663
+246.29	13.7961596697423	3.11924328241939	0.811763805441812
+235.58	13.7970594691514	3.11924431630267	0.798471541788287
+239.16	13.79795926886	3.11924534941335	0.804028846573181
+230.86	13.7988590688681	3.11924638175142	0.815860168429978
+229.64	13.7997588691753	3.11924741331689	0.823557342750731
+235.25	13.8006586697814	3.11924844410976	0.821866242520639
+226.96	13.7115809959384	3.11823817369195	0.817542609418611
+227.94	13.7124807654175	3.11823927987257	0.818109529508094
+229.07	13.7133805352172	3.11824038528093	0.819159055226395
+222.3	13.7142803053374	3.11824148991704	0.815139615004698
+228.71	13.7151800757778	3.11824259378089	0.816619089473643
+233.78	13.7160798465381	3.11824369687248	0.81395961199636
+227.96	13.7169796176182	3.11824479919181	0.822229054342854
+231.41	13.7178793890178	3.11824590073888	0.817691199311364
+233.29	13.7187791607367	3.11824700151369	0.816308491668204
+232.68	13.7196789327746	3.11824810151624	0.816268877792539
+235.88	13.7205787051314	3.11824920074652	0.819917003148801
+239.75	13.7214784778069	3.11825029920454	0.816348191403202
+236.63	13.7223782508007	3.11825139689028	0.822951108113458
+235.34	13.7232780241128	3.11825249380376	0.811521174512823
+233.57	13.7241777977428	3.11825358994497	0.815315332304919
+235.72	13.7250775716905	3.11825468531391	0.80945737717193
+244.55	13.7259773459557	3.11825577991057	0.801408688705911
+239.74	13.7268771205382	3.11825687373496	0.817895955484184
+246.38	13.7277768954378	3.11825796678707	0.814169422061423
+240.85	13.7286766706541	3.11825905906691	0.803426023979788
+238.36	13.7295764461872	3.11826015057447	0.804674549239895
+240.03	13.7304762220365	3.11826124130975	0.804009711018874
+242.99	13.7313759982021	3.11826233127274	0.810194657811469
+246.38	13.7322757746836	3.11826342046346	0.797760696637101
+248.23	13.7331755514808	3.11826450888189	0.800136061219862
+244.25	13.7340753285935	3.11826559652804	0.798837421102232
+251.62	13.7349751060215	3.1182666834019	0.802035558040605
+248.24	13.7358748837645	3.11826776950347	0.810026034454107
+255.05	13.7367746618224	3.11826885483275	0.804918639053254
+245.82	13.7376744401948	3.11826993938974	0.787949661245485
+249.1	13.7385742188816	3.11827102317444	0.799320510460764
+247.62	13.7394739978825	3.11827210618685	0.804119105935271
+248.75	13.7403737771974	3.11827318842696	0.807484721763274
+243.57	13.741273556826	3.11827426989478	0.812631971419984
+248.57	13.742173336768	3.1182753505903	0.813772857026945
+247.6	13.7430731170233	3.11827643051352	0.796075267732892
+259.06	13.7439728975917	3.11827750966444	0.806510647331396
+236.08	13.7448726784728	3.11827858804307	0.816408936358223
+229.94	13.7457724596665	3.11827966564938	0.816394219379294
+250.25	13.7466722411726	3.1182807424834	0.809981178349398
+255.57	13.7475720229908	3.11828181854511	0.809196563921172
+245.48	13.7484718051209	3.11828289383451	0.821269792989294
+236.98	13.7493715875627	3.1182839683516	0.819706546360474
+230.76	13.750271370316	3.11828504209639	0.807973730235214
+232.66	13.7511711533805	3.11828611506887	0.810178041310597
+241.68	13.752070936756	3.11828718726903	0.813501534265258
+240	13.7529707204423	3.11828825869688	0.800696541244744
+241.58	13.7538705044391	3.11828932935242	0.818359238865268
+241.63	13.7547702887464	3.11829039923564	0.802540269837454
+245.84	13.7556700733637	3.11829146834654	0.806046538617768
+246.91	13.7565698582909	3.11829253668513	0.809915687157431
+248.18	13.7574696435278	3.11829360425139	0.817334343833282
+247.05	13.7583694290741	3.11829467104534	0.806093792779755
+253.6	13.7592692149296	3.11829573706696	0.80246286359675
+243.75	13.7601690010942	3.11829680231626	0.807452268124349
+245.86	13.7610687875675	3.11829786679323	0.81726177201172
+250.29	13.7619685743494	3.11829893049788	0.801785179227579
+261.74	13.7628683614396	3.1182999934302	0.804056737376084
+264.93	13.7637681488379	3.11830105559019	0.800628773120913
+233.71	13.764667936544	3.11830211697785	0.819192270531401
+231.42	13.7655677245579	3.11830317759318	0.830273680277632
+226.17	13.7664675128791	3.11830423743618	0.826733085524373
+229.14	13.7673673015076	3.11830529650684	0.818707605783664
+233.3	13.768267090443	3.11830635480517	0.817056406771284
+235.55	13.7691668796852	3.11830741233116	0.809600025737334
+243.53	13.770066669234	3.11830846908481	0.792266856093245
+237.4	13.770966459089	3.11830952506612	0.810796464447429
+241.19	13.7718662492502	3.11831058027509	0.813556596753507
+242.18	13.7727660397171	3.11831163471172	0.805684596096556
+249.69	13.7736658304898	3.11831268837601	0.812438984550983
+249.8	13.7745656215678	3.11831374126795	0.809919724770642
+251.32	13.7754654129511	3.11831479338755	0.801401989792879
+252.64	13.7763652046393	3.1183158447348	0.814200024840546
+238.71	13.7772649966322	3.1183168953097	0.821362180563954
+236.98	13.7781647889297	3.11831794511225	0.823552720068343
+235.75	13.7790645815314	3.11831899414246	0.812861277282496
+233.05	13.7799643744373	3.1183200424003	0.819223814808204
+230.93	13.7808641676469	3.1183210898858	0.811128326828407
+228.98	13.7817639611602	3.11832213659894	0.816641410128711
+232.49	13.7826637549769	3.11832318253972	0.82022226554884
+240.09	13.7835635490968	3.11832422770815	0.821120595316262
+239.72	13.7844633435196	3.11832527210422	0.81837259325324
+233.29	13.7853631382452	3.11832631572793	0.814583173509805
+238.03	13.7862629332732	3.11832735857927	0.803157244906958
+243.03	13.7871627286035	3.11832840065826	0.807363777255449
+245.74	13.7880625242359	3.11832944196488	0.802906358206457
+248.23	13.7889623201701	3.11833048249913	0.796286939615274
+250.28	13.789862116406	3.11833152226102	0.814799260258026
+245.85	13.7907619129432	3.11833256125054	0.810740172316856
+241.97	13.7916617097815	3.11833359946769	0.817537577298648
+245.1	13.7925615069208	3.11833463691247	0.806501669305162
+245.08	13.7934613043608	3.11833567358488	0.822782137709119
+245.59	13.7943611021013	3.11833670948492	0.820475547328404
+252.58	13.7952609001421	3.11833774461258	0.805274133557433
+249.94	13.7961606984829	3.11833877896787	0.805583974384006
+246.58	13.7970604971235	3.11833981255078	0.810597885992087
+241.28	13.7979602960637	3.11834084536131	0.804774560364746
+229.74	13.7988600953033	3.11834187739947	0.817915473590868
+242.63	13.799759894842	3.11834290866524	0.814554517608113
+233.61	13.8006596946796	3.11834393915863	0.822368050152781
+234.61	13.7115820965886	3.11733369946138	0.818367122706383
+226.61	13.7124818652995	3.11733480532053	0.819862653900867
+223.95	13.7133816343312	3.11733591040765	0.818615032687512
+224.28	13.7142814036832	3.11733701472274	0.822403188755114
+234.83	13.7151811733554	3.1173381182658	0.814498547212694
+236.12	13.7160809433476	3.11733922103682	0.799949145770018
+230.4	13.7169807136596	3.11734032303581	0.82422395236834
+229.27	13.717880484291	3.11734142426276	0.821270186595264
+239.7	13.7187802552418	3.11734252471768	0.822220128771382
+236.93	13.7196800265116	3.11734362440055	0.814401412302574
+246.73	13.7205797981003	3.11734472331139	0.805510390117761
+240.43	13.7214795700076	3.11734582145018	0.836006940166045
+241.53	13.7223793422333	3.11734691881693	0.82923043426348
+233.85	13.7232791147772	3.11734801541163	0.822190872954644
+233.52	13.7241788876391	3.11734911123429	0.818007840461081
+233.12	13.7250786608186	3.1173502062849	0.808170279242335
+232.39	13.7259784343157	3.11735130056347	0.816169842167183
+244.19	13.7268782081301	3.11735239406998	0.798668142967524
+243.3	13.7277779822615	3.11735348680444	0.809537341402722
+238.94	13.7286777567097	3.11735457876685	0.797623372753287
+236.31	13.7295775314746	3.11735566995721	0.804592500873099
+230.65	13.7304773065558	3.11735676037551	0.806649144721547
+232.26	13.7313770819532	3.11735785002175	0.80329856410215
+237.12	13.7322768576666	3.11735893889594	0.806789011182396
+244.54	13.7331766336957	3.11736002699806	0.799385787922561
+246.37	13.7340764100402	3.11736111432813	0.799677769983272
+256.02	13.7349761867	3.11736220088613	0.804714147163629
+245.75	13.7358759636749	3.11736328667207	0.798982487496668
+253.51	13.7367757409646	3.11736437168595	0.797371584988695
+250	13.7376755185688	3.11736545592776	0.811887762950068
+248.47	13.7385752964875	3.1173665393975	0.812642103314201
+248.35	13.7394750747203	3.11736762209517	0.803398348228566
+249.57	13.740374853267	3.11736870402078	0.819892482823608
+240.59	13.7412746321274	3.11736978517431	0.80970779054716
+247.32	13.7421744113013	3.11737086555577	0.807565972715782
+245.94	13.7430741907884	3.11737194516515	0.802681821529778
+253.87	13.7439739705886	3.11737302400246	0.802805831428822
+237.69	13.7448737507015	3.1173741020677	0.801349281415574
+237.96	13.7457735311271	3.11737517936085	0.814263498750025
+246.18	13.746673311865	3.11737625588193	0.807844068679656
+253.22	13.747573092915	3.11737733163092	0.809997945883364
+245.82	13.7484728742769	3.11737840660783	0.812848433176167
+242.64	13.7493726559506	3.11737948081266	0.813282038155181
+231.18	13.7502724379356	3.11738055424541	0.807903807615231
+234.17	13.751172220232	3.11738162690607	0.808655135100215
+237.53	13.7520720028393	3.11738269879464	0.810799923343776
+240.49	13.7529717857574	3.11738376991112	0.808191456944846
+243.98	13.7538715689861	3.11738484025552	0.816868272111863
+249.4	13.7547713525251	3.11738590982782	0.802315732184538
+249.15	13.7556711363742	3.11738697862803	0.811536725229544
+250.7	13.7565709205332	3.11738804665614	0.819528114226655
+245.06	13.7574707050019	3.11738911391216	0.806160596360055
+240.68	13.7583704897801	3.11739018039609	0.807777109641211
+244.18	13.7592702748674	3.11739124610791	0.806717737183265
+245.23	13.7601700602638	3.11739231104764	0.809074263701042
+246.29	13.7610698459689	3.11739337521527	0.802261704739094
+250.64	13.7619696319826	3.11739443861079	0.807411834122577
+266.48	13.7628694183046	3.11739550123421	0.813266437850528
+257.2	13.7637692049347	3.11739656308553	0.796689374010498
+240.91	13.7646689918727	3.11739762416474	0.833027950588952
+224.14	13.7655687791183	3.11739868447185	0.832296922348129
+224.48	13.7664685666713	3.11739974400684	0.825512470794056
+232.45	13.7673683545316	3.11740080276973	0.819975524239262
+232.74	13.7682681426988	3.1174018607605	0.813530768564658
+242.99	13.7691679311728	3.11740291797917	0.791157693661087
+249.11	13.7700677199534	3.11740397442572	0.800182453295075
+249.47	13.7709675090402	3.11740503010015	0.790888952784381
+243.11	13.7718672984331	3.11740608500247	0.816843927776404
+247.81	13.7727670881319	3.11740713913267	0.815958347569037
+257.45	13.7736668781363	3.11740819249075	0.793747440057973
+249.03	13.7745666684461	3.11740924507671	0.797235612474119
+252.11	13.7754664590612	3.11741029689055	0.799889454590748
+249.64	13.7763662499811	3.11741134793227	0.807923453763807
+237.15	13.7772660412059	3.11741239820187	0.818713209874236
+240.68	13.7781658327351	3.11741344769934	0.822782600473501
+253.97	13.7790656245687	3.11741449642468	0.799721425772384
+246.63	13.7799654167063	3.11741554437789	0.815364308731464
+237.98	13.7808652091477	3.11741659155898	0.824409243764082
+224.32	13.7817650018928	3.11741763796793	0.820157735565614
+230.22	13.7826647949412	3.11741868360476	0.820441648161855
+234.99	13.7835645882929	3.11741972846945	0.816112441746041
+234.39	13.7844643819475	3.117420772562	0.814932718185313
+238.9	13.7853641759048	3.11742181588242	0.817410831416974
+234.06	13.7862639701646	3.11742285843071	0.81797196777568
+246.54	13.7871637647267	3.11742390020685	0.801057767338478
+249.16	13.7880635595909	3.11742494121086	0.801260148584684
+246.21	13.7889633547568	3.11742598144272	0.803967393261754
+246.96	13.7898631502244	3.11742702090245	0.815209282744052
+245.98	13.7907629459934	3.11742805959003	0.811026040746742
+243.1	13.7916627420635	3.11742909750546	0.816920838578849
+244.96	13.7925625384346	3.11743013464875	0.817148424813251
+241.51	13.7934623351063	3.1174311710199	0.813678758896018
+238.81	13.7943621320786	3.11743220661889	0.81237502554588
+240.75	13.7952619293511	3.11743324144573	0.816668629231067
+249.2	13.7961617269237	3.11743427550043	0.801163099537377
+246.14	13.797061524796	3.11743530878297	0.803618066371151
+239.97	13.797961322968	3.11743634129336	0.812814060378976
+236.85	13.7988611214393	3.11743737303159	0.820040049291436
+232.02	13.7997609202098	3.11743840399767	0.808240643013721
+233.96	13.8006607192792	3.11743943419159	0.801855988286726
+246.85	13.7115831969179	3.11642922521486	0.80555170072875
+232.43	13.7124829648609	3.11643033075254	0.821666997157776
+235.04	13.7133827331247	3.11643143551842	0.81386593377633
+241.71	13.7142825017088	3.11643253951249	0.810917756759566
+239.69	13.7151822706131	3.11643364273476	0.818935009036004
+239.75	13.7160820398374	3.11643474518521	0.801849078456039
+235.36	13.7169818093815	3.11643584686385	0.810148698322417
+234.65	13.717881579245	3.11643694777069	0.814113220093091
+239.15	13.7187813494279	3.11643804790571	0.821817663614664
+244.69	13.7196811199298	3.11643914726891	0.809172683882022
+243.33	13.7205808907506	3.1164402458603	0.819389862597172
+246.37	13.72148066189	3.11644134367987	0.818348617173479
+240.5	13.7223804333478	3.11644244072762	0.822433500459628
+234.18	13.7232802051237	3.11644353700355	0.815256776061702
+241.95	13.7241799772176	3.11644463250766	0.802603856324458
+238.12	13.7250797496293	3.11644572723995	0.81078968542856
+231.99	13.7259795223585	3.11644682120041	0.816226114588423
+237.47	13.7268792954049	3.11644791438905	0.810072541737531
+239.75	13.7277790687684	3.11644900680586	0.81374610038379
+235.94	13.7286788424487	3.11645009845084	0.820920979909154
+234.61	13.7295786164457	3.116451189324	0.824783391953333
+233.44	13.730478390759	3.11645227942532	0.812791781589133
+239.13	13.7313781653884	3.11645336875481	0.830328168169823
+228.28	13.7322779403339	3.11645445731247	0.815578931203931
+240.57	13.733177715595	3.11645554509829	0.812584791078561
+237.78	13.7340774911716	3.11645663211227	0.809774959399892
+243.99	13.7349772670635	3.11645771835442	0.813479017598143
+246.8	13.7358770432704	3.11645880382473	0.802930995293863
+242.79	13.7367768197922	3.1164598885232	0.808910119382944
+242.31	13.7376765966285	3.11646097244983	0.808492008018864
+244.08	13.7385763737792	3.11646205560461	0.816343077212642
+248.3	13.739476151244	3.11646313798755	0.814063452754595
+247.07	13.7403759290228	3.11646421959864	0.80889720435428
+245.26	13.7412757071153	3.11646530043789	0.814080728303138
+244.73	13.7421754855212	3.11646638050529	0.799546273275657
+251.7	13.7430752642404	3.11646745980084	0.804568672071124
+244.77	13.7439750432726	3.11646853832454	0.793027712941196
+235.38	13.7448748226176	3.11646961607639	0.811028130649238
+242.97	13.7457746022752	3.11647069305638	0.812318955176098
+255.31	13.7466743822452	3.11647176926452	0.803355631265398
+241.81	13.7475741625273	3.1164728447008	0.821653058052577
+248	13.7484739431213	3.11647391936522	0.815323663320103
+241.65	13.7493737240269	3.11647499325779	0.817495931568422
+230.1	13.7502735052441	3.11647606637849	0.79595126961632
+240.33	13.7511732867724	3.11647713872734	0.793414527945348
+242.59	13.7520730686118	3.11647821030432	0.810200301693686
+245.07	13.7529728507619	3.11647928110943	0.804769201817351
+246.53	13.7538726332227	3.11648035114268	0.814299461053525
+246.07	13.7547724159937	3.11648142040407	0.794374666329484
+254.05	13.7556721990749	3.11648248889358	0.799326213385355
+260.68	13.7565719824659	3.11648355661123	0.772113022113022
+250.43	13.7574717661667	3.11648462355701	0.810676134774998
+236.75	13.7583715501768	3.11648568973091	0.809160245073269
+247.75	13.7592713344962	3.11648675513294	0.819687987748133
+241.5	13.7601711191246	3.11648781976309	0.813022344329382
+259.2	13.7610709040618	3.11648888362137	0.808095101169847
+270.17	13.7619706893075	3.11648994670778	0.793073199768167
+255.79	13.7628704748615	3.1164910090223	0.802632403144477
+257.33	13.7637702607236	3.11649207056494	0.804625152452774
+260.51	13.7646700468936	3.11649313133571	0.797395590305416
+247.48	13.7655698333713	3.11649419133458	0.824832406218799
+236.37	13.7664696201563	3.11649525056158	0.82166772137927
+222.52	13.7673694072486	3.11649630901669	0.835631223321928
+237.95	13.7682691946479	3.11649736669992	0.817982253443017
+244.96	13.7691689823539	3.11649842361125	0.804034115518351
+241.93	13.7700687703664	3.1164994797507	0.804349525106229
+252.42	13.7709685586853	3.11650053511825	0.791722457539217
+245.41	13.7718683473102	3.11650158971392	0.818442256042972
+258.92	13.772768136241	3.11650264353769	0.795642799528448
+247.32	13.7736679254774	3.11650369658957	0.809150796409033
+241.45	13.7745677150193	3.11650474886955	0.805891382093237
+245.85	13.7754675048663	3.11650580037764	0.810123611629419
+241.83	13.7763672950183	3.11650685111382	0.811802039587538
+237.04	13.777267085475	3.11650790107811	0.816106721648216
+259.29	13.7781668762363	3.1165089502705	0.805128877907634
+251.49	13.7790666673018	3.11650999869098	0.803159155161267
+244.92	13.7799664586714	3.11651104633956	0.81063223846592
+237.71	13.7808662503449	3.11651209321624	0.82271105697463
+218.3	13.7817660423219	3.11651313932101	0.826247732724826
+224.77	13.7826658346024	3.11651418465387	0.812143565080345
+223.48	13.783565627186	3.11651522921483	0.810631337116323
+227.66	13.7844654200726	3.11651627300387	0.816393598215663
+240.12	13.7853652132619	3.11651731602101	0.806040410240875
+238.68	13.7862650067537	3.11651835826623	0.812189517281336
+250.06	13.7871648005478	3.11651939973954	0.809673210735587
+255.49	13.788064594644	3.11652044044093	0.807742430049828
+245.31	13.7889643890419	3.1165214803704	0.815847912852984
+240.98	13.7898641837415	3.11652251952796	0.82517577552232
+237.4	13.7907639787425	3.1165235579136	0.807216095956665
+243.5	13.7916637740446	3.11652459552732	0.804164574582297
+242.72	13.7925635696476	3.11652563236912	0.807186601575255
+243.49	13.7934633655514	3.116526668439	0.809435494110993
+244.77	13.7943631617556	3.11652770373695	0.799898463638331
+242.34	13.7952629582601	3.11652873826298	0.814207650273224
+243.65	13.7961627550646	3.11652977201708	0.803848304816865
+234.3	13.797062552169	3.11653080499925	0.800292458742427
+238.5	13.7979623495729	3.11653183720949	0.79888923299267
+230.57	13.7988621472762	3.1165328686478	0.826581437821683
+228.3	13.7997619452786	3.11653389931419	0.815879636526143
+233.84	13.80066174358	3.11653492920864	0.81442853369406
+246.67	13.7115842969263	3.11552475095238	0.793770668668058
+255.61	13.7124840641017	3.1155258561686	0.792434952049822
+249.91	13.7133838315977	3.11552696061324	0.800721452605414
+244.16	13.7142835994142	3.11552806428629	0.807902615417274
+243.5	13.7151833675508	3.11552916718776	0.814623649552994
+243.54	13.7160831360075	3.11553026931765	0.809238271682241
+234.65	13.7169829047838	3.11553137067595	0.818601253698859
+240.77	13.7178826738797	3.11553247126266	0.819116075906128
+238.63	13.7187824432949	3.11553357107778	0.814584126841873
+250.44	13.7196822130291	3.11553467012132	0.82016514221364
+237.57	13.7205819830822	3.11553576839326	0.81903321789181
+239.55	13.7214817534539	3.11553686589361	0.8200043205876
+228.02	13.722381524144	3.11553796262236	0.826179313840214
+234.15	13.7232812951523	3.11553905857952	0.820136149203777
+241.99	13.7241810664785	3.11554015376508	0.805349235124373
+236.79	13.7250808381225	3.11554124817905	0.812161137549103
+232.83	13.7259806100839	3.11554234182141	0.82644150601176
+231.83	13.7268803823627	3.11554343469217	0.811457908123214
+230.55	13.7277801549585	3.11554452679133	0.812908884042856
+240.61	13.7286799278711	3.11554561811889	0.822058485579685
+235.55	13.7295797011003	3.11554670867484	0.811771187218805
+234.57	13.7304794746459	3.11554779845919	0.818754034861201
+240.88	13.7313792485077	3.11554888747193	0.817805940651717
+232.48	13.7322790226854	3.11554997571305	0.817913149062418
+233.56	13.7331787971788	3.11555106318257	0.806159927725198
+233.4	13.7340785719878	3.11555214988048	0.814131320178191
+234.23	13.7349783471119	3.11555323580677	0.81775895007891
+243.77	13.7358781225511	3.11555432096145	0.801486605190907
+250.67	13.7367778983052	3.11555540534451	0.794286718678219
+244.34	13.7376776743738	3.11555648895596	0.810574897923494
+242.19	13.7385774507568	3.11555757179578	0.819076333553643
+241.14	13.7394772274539	3.11555865386399	0.807065929638019
+243.56	13.740377004465	3.11555973516058	0.801977832982993
+237.1	13.7412767817897	3.11556081568554	0.799785270542725
+244.96	13.7421765594279	3.11556189543888	0.814340174501194
+247.8	13.7430763373794	3.11556297442059	0.811909130986876
+236.57	13.7439761156439	3.11556405263068	0.811741794786163
+241.38	13.7448758942212	3.11556513006914	0.821308389047838
+245.67	13.7457756731111	3.11556620673597	0.808110008594421
+244.5	13.7466754523133	3.11556728263117	0.810298040746652
+243.62	13.7475752318276	3.11556835775474	0.816755418552413
+255.6	13.7484750116539	3.11556943210668	0.804570157830808
+227.85	13.7493747917918	3.11557050568698	0.812503523764266
+227.25	13.7502745722412	3.11557157849564	0.815198463716699
+245.34	13.7511743530019	3.11557265053267	0.799835696681787
+250.37	13.7520741340735	3.11557372179806	0.808783454716469
+247.55	13.7529739154559	3.11557479229181	0.805520635718803
+245.07	13.7538736971489	3.11557586201392	0.809303662901115
+240.21	13.7547734791522	3.11557693096439	0.813020611661701
+250.43	13.7556732614656	3.11557799914321	0.805620959801361
+248.51	13.756573044089	3.11557906655039	0.811597449791343
+250.13	13.7574728270219	3.11558013318592	0.80571313275545
+247.56	13.7583726102644	3.1155811990498	0.815684293419313
+256.66	13.759272393816	3.11558226414204	0.815170809581486
+261.88	13.7601721776767	3.11558332846262	0.817752883690838
+263.71	13.7610719618461	3.11558439201156	0.804316800687496
+255.92	13.761971746324	3.11558545478883	0.800932207937567
+257.33	13.7628715311103	3.11558651679446	0.798986930631815
+265.62	13.7637713162047	3.11558757802843	0.79928926157192
+263.72	13.7646711016069	3.11558863849075	0.797659338684557
+252.31	13.7655708873168	3.1155896981814	0.804922910879124
+238.62	13.7664706733341	3.1155907571004	0.810462666770695
+230.99	13.7673704596586	3.11559181524773	0.81830667956671
+233.05	13.7682702462901	3.11559287262341	0.815073652325577
+240.67	13.7691700332284	3.11559392922742	0.810498578895722
+234.06	13.7700698204732	3.11559498505976	0.806741554486254
+238.11	13.7709696080243	3.11559604012044	0.812191644368054
+264.02	13.7718693958814	3.11559709440945	0.808698067254419
+264.69	13.7727691840445	3.11559814792679	0.779765388840335
+255.51	13.7736689725131	3.11559920067247	0.812479150759468
+249.34	13.7745687612872	3.11560025264647	0.811954285974037
+246.8	13.7754685503665	3.1156013038488	0.811449866307611
+246.62	13.7763683397507	3.11560235427946	0.809014592415378
+241.44	13.7772681294397	3.11560340393844	0.819208315588336
+253.98	13.7781679194331	3.11560445282574	0.805030644471617
+249.24	13.7790677097309	3.11560550094137	0.808014164005871
+232.56	13.7799675003327	3.11560654828532	0.816334628485222
+218.18	13.7808672912384	3.11560759485759	0.818233520103491
+217.53	13.7817670824477	3.11560864065817	0.821515978313056
+225.12	13.7826668739604	3.11560968568708	0.821376683551262
+225.61	13.7835666657762	3.11561072994429	0.819025757144694
+226.65	13.784466457895	3.11561177342983	0.813763943140176
+236.63	13.7853662503166	3.11561281614368	0.806515006906439
+244.01	13.7862660430406	3.11561385808584	0.817022516397974
+243.16	13.7871658360669	3.11561489925631	0.816978780256607
+248.91	13.7880656293953	3.11561593965509	0.811134629201701
+252.96	13.7889654230254	3.11561697928217	0.811932895696572
+238.95	13.7898652169572	3.11561801813757	0.814673490567155
+239.96	13.7907650111904	3.11561905622127	0.799883309022713
+241.36	13.7916648057247	3.11562009353327	0.812751768925075
+239.04	13.79256460056	3.11562113007358	0.814650803798357
+238.43	13.7934643956959	3.11562216584219	0.80990317635565
+241.1	13.7943641911323	3.1156232008391	0.800843402805936
+249.07	13.795263986869	3.11562423506431	0.816128061056076
+236.7	13.7961637829058	3.11562526851782	0.818683215329503
+235.99	13.7970635792423	3.11562630119962	0.802559861822863
+237.24	13.7979633758785	3.11562733310972	0.80442520208531
+239.56	13.798863172814	3.11562836424812	0.801547657210565
+241.67	13.7997629700486	3.1156293946148	0.815312092259775
+237.72	13.8006627675821	3.11563042420978	0.824345079085476
+246.11	13.7115853966139	3.11462027667395	0.798411276083315
+245.28	13.7124851630218	3.11462138156871	0.814957919034724
+239.7	13.7133849297504	3.1146224856921	0.815592209458883
+240.31	13.7142846967994	3.11462358904414	0.813752711984442
+238.95	13.7151844641686	3.11462469162482	0.811751257774134
+241.8	13.7160842318578	3.11462579343414	0.807374536313192
+232.53	13.7169839998667	3.11462689447209	0.809333385099196
+233.93	13.7178837681951	3.11462799473869	0.814690332182539
+240.81	13.7187835368428	3.11462909423392	0.814798895583061
+248.87	13.7196833058096	3.11463019295778	0.804968480677285
+238.38	13.7205830750952	3.11463129091028	0.817380806448617
+229.62	13.7214828446994	3.1146323880914	0.814180138568129
+223.36	13.7223826146221	3.11463348450116	0.821029488965814
+230.74	13.7232823848629	3.11463458013955	0.811096817361728
+239.45	13.7241821554216	3.11463567500656	0.812711895980031
+235.55	13.7250819262981	3.1146367691022	0.82364790195187
+231.69	13.7259816974921	3.11463786242647	0.818363411467337
+233.78	13.7268814690034	3.11463895497936	0.812839964490356
+243.85	13.7277812408317	3.11464004676087	0.819735937782601
+240.87	13.7286810129768	3.114641137771	0.810858866248537
+242.23	13.7295807854386	3.11464222800975	0.803883562891777
+245.62	13.7304805582167	3.11464331747712	0.812931081999743
+237.91	13.731380331311	3.1146444061731	0.80803395530103
+241.89	13.7322801047213	3.1146454940977	0.800694520827768
+237.27	13.7331798784472	3.11464658125092	0.817214755072009
+237.57	13.7340796524886	3.11464766763274	0.806696181959378
+239.83	13.7349794268453	3.11464875324318	0.809122033764905
+249.18	13.7358792015171	3.11464983808223	0.802199342689366
+239.99	13.7367789765036	3.11465092214989	0.815798027955358
+248.41	13.7376787518047	3.11465200544615	0.816581607235771
+237.84	13.7385785274202	3.11465308797102	0.810434958747867
+238.44	13.7394783033499	3.1146541697245	0.815921244071576
+238.18	13.7403780795934	3.11465525070657	0.814100992768722
+236.44	13.7412778561507	3.11465633091725	0.818201362069363
+243.13	13.7421776330214	3.11465741035653	0.81204576473198
+242.74	13.7430774102054	3.11465848902441	0.81149375524262
+241.58	13.7439771877024	3.11465956692089	0.799898844807704
+233.69	13.7448769655122	3.11466064404597	0.808980493191019
+238.28	13.7457767436345	3.11466172039964	0.813402432219649
+249.1	13.7466765220693	3.1146627959819	0.808954725261376
+253.86	13.7475763008161	3.11466387079276	0.801974073579106
+249.08	13.7484760798749	3.1146649448322	0.80380589120717
+228.19	13.7493758592453	3.11466601810024	0.810385819250855
+239.39	13.7502756389272	3.11466709059687	0.801661710099635
+244.27	13.7511754189203	3.11466816232208	0.810485233429132
+245.99	13.7520751992244	3.11466923327588	0.812512073086203
+242.65	13.7529749798393	3.11467030345826	0.824574059536186
+242.59	13.7538747607648	3.11467137286923	0.8137915824297
+236.84	13.7547745420006	3.11467244150878	0.81951453616983
+240.88	13.7556743235465	3.11467350937691	0.814821089088411
+247.29	13.7565741054023	3.11467457647362	0.812304824936764
+245.65	13.7574738875678	3.11467564279891	0.817950063732474
+249.95	13.7583736700427	3.11467670835277	0.811216348085644
+250.63	13.7592734528268	3.11467777313521	0.809133943814993
+265.68	13.7601732359199	3.11467883714623	0.809959007135795
+259.15	13.7610730193218	3.11467990038581	0.813311061154057
+264.01	13.7619728030322	3.11468096285397	0.806317496590616
+249.56	13.762872587051	3.1146820245507	0.799975421111679
+258.48	13.7637723713778	3.114683085476	0.813050449308326
+259.18	13.7646721560126	3.11468414562987	0.79976904422803
+246.55	13.7655719409549	3.1146852050123	0.821660430342551
+236.57	13.7664717262047	3.11468626362329	0.828043648552639
+229.7	13.7673715117617	3.11468732146285	0.817445899620708
+233.58	13.7682712976257	3.11468837853098	0.818040236631373
+227.61	13.7691710837964	3.11468943482766	0.811664754832617
+229.16	13.7700708702736	3.11469049035291	0.814724697465315
+238.54	13.7709706570572	3.11469154510671	0.817225769007545
+273.14	13.7718704441468	3.11469259908907	0.818853138930289
+266.33	13.7727702315423	3.11469365229998	0.786270177146923
+245.37	13.7736700192434	3.11469470473945	0.81070555689845
+242.75	13.77456980725	3.11469575640747	0.817948872998836
+242.5	13.7754695955617	3.11469680730405	0.807483681886401
+244.9	13.7763693841784	3.11469785742918	0.813271964139567
+252.51	13.7772691730998	3.11469890678285	0.810739586494829
+254.63	13.7781689623257	3.11469995536507	0.807751541007557
+252.34	13.7790687518559	3.11470100317584	0.805577006889064
+239.54	13.7799685416902	3.11470205021516	0.800365291508422
+236.21	13.7808683318283	3.11470309648302	0.801180412329113
+224.62	13.7817681222701	3.11470414197942	0.821763783794245
+223.32	13.7826679130152	3.11470518670437	0.815328124128812
+222.53	13.7835677040635	3.11470623065785	0.827601638349515
+230.83	13.7844674954147	3.11470727383988	0.81244787322769
+239.21	13.7853672870687	3.11470831625044	0.806605165325833
+245.21	13.7862670790252	3.11470935788954	0.824512965419556
+248.28	13.7871668712839	3.11471039875717	0.806295268916628
+249.17	13.7880666638447	3.11471143885334	0.817160849409085
+244.71	13.7889664567073	3.11471247817804	0.813114804769301
+239.63	13.7898662498716	3.11471351673127	0.806298229641674
+241.34	13.7907660433371	3.11471455451303	0.798499197331906
+240.43	13.7916658371039	3.11471559152332	0.793628089533686
+240.05	13.7925656311716	3.11471662776214	0.801327256736228
+235.17	13.79346542554	3.11471766322948	0.822326990308952
+242.28	13.7943652202088	3.11471869792535	0.795817225063991
+241.89	13.795265015178	3.11471973184974	0.807397693766416
+241.51	13.7961648104471	3.11472076500266	0.806992386490576
+229.84	13.7970646060161	3.11472179738409	0.813900752409875
+230.89	13.7979644018846	3.11472282899405	0.809189778170679
+237.94	13.7988641980526	3.11472385983253	0.815920775261985
+247.84	13.7997639945196	3.11472488989952	0.812944555221571
+251.17	13.8006637912856	3.11472591919503	0.803142596256278
+241.1	13.7115864959806	3.11371580237958	0.806386708330158
+235.25	13.7124862616213	3.11371690695287	0.823666183954043
+236.29	13.7133860275827	3.11371801075502	0.815667064586507
+243.74	13.7142857938644	3.11371911378604	0.816443622703528
+237.93	13.7151855604664	3.11372021604593	0.819465013804326
+234.74	13.7160853273883	3.11372131753468	0.810141602099672
+229.75	13.71698509463	3.1137224182523	0.809919093401688
+238.49	13.7178848621912	3.11372351819877	0.811293987338171
+239.93	13.7187846300716	3.11372461737411	0.815356785693276
+246.42	13.7196843982712	3.1137257157783	0.821078140987668
+236.49	13.7205841667895	3.11372681341135	0.825632334142453
+224.51	13.7214839356265	3.11372791027326	0.814770139114839
+229.18	13.7223837047819	3.11372900636402	0.819076288215322
+237.39	13.7232834742555	3.11373010168364	0.818540244962931
+236.6	13.724183244047	3.11373119623211	0.8198502812763
+236.2	13.7250830141563	3.11373229000942	0.811114489947534
+232.22	13.725982784583	3.11373338301559	0.812752647728398
+234.09	13.726882555327	3.1137344752506	0.807265662866623
+237.15	13.7277823263881	3.11373556671447	0.823478551004374
+246.45	13.728682097766	3.11373665740717	0.801817827189389
+245.55	13.7295818694605	3.11373774732872	0.809380490300007
+251.58	13.7304816414714	3.11373883647911	0.808045430197146
+238.8	13.7313814137984	3.11373992485835	0.807274890119652
+238.86	13.7322811864414	3.11374101246642	0.802731398930135
+248.3	13.7331809594001	3.11374209930333	0.812173521355972
+242.06	13.7340807326743	3.11374318536908	0.809729876948566
+241.21	13.7349805062637	3.11374427066366	0.820283376101998
+256.56	13.7358802801682	3.11374535518708	0.793138416045455
+240.27	13.7367800543874	3.11374643893933	0.814203037424045
+239.71	13.7376798289213	3.11374752192042	0.803665305766171
+245	13.7385796037695	3.11374860413033	0.798933111198328
+239.09	13.7394793789319	3.11374968556907	0.81038935894209
+241.35	13.7403791544082	3.11375076623664	0.801235780807236
+239.67	13.7412789301982	3.11375184613304	0.818880485234018
+247.1	13.7421787063016	3.11375292525826	0.81210441556496
+240.05	13.7430784827183	3.11375400361231	0.816143463926548
+237.66	13.7439782594481	3.11375508119518	0.806907098872822
+232.34	13.7448780364906	3.11375615800687	0.814443715473635
+239.96	13.7457778138457	3.11375723404737	0.807885749767153
+253.19	13.7466775915131	3.1137583093167	0.802719103309464
+252.73	13.7475773694927	3.11375938381484	0.802816684682882
+246.06	13.7484771477842	3.11376045754181	0.800038493414877
+231.63	13.7493769263873	3.11376153049758	0.800249592502038
+237.42	13.7502767053019	3.11376260268217	0.801915082828366
+242.77	13.7511764845277	3.11376367409557	0.81308667769805
+240.18	13.7520762640646	3.11376474473778	0.817289267523237
+248.83	13.7529760439122	3.11376581460879	0.809232840143835
+245.01	13.7538758240704	3.11376688370862	0.810678190933382
+244.87	13.7547756045389	3.11376795203725	0.812171898193404
+247.29	13.7556753853175	3.11376901959469	0.814160099102454
+250.22	13.756575166406	3.11377008638093	0.813466186328606
+253.6	13.7574749478042	3.11377115239598	0.797632995566815
+246.24	13.7583747295118	3.11377221763982	0.812586373085276
+248.98	13.7592745115286	3.11377328211247	0.803444522696716
+255.15	13.7601742938544	3.11377434581392	0.804025340052766
+254.58	13.761074076489	3.11377540874416	0.804534162705632
+263.47	13.7619738594322	3.1137764709032	0.798509860081667
+252.08	13.7628736426836	3.11377753229103	0.816148973807848
+244.31	13.7637734262431	3.11377859290765	0.812209329637807
+255.03	13.7646732101106	3.11377965275307	0.820921187907259
+244.61	13.7655729942856	3.11378071182728	0.822929833919086
+235.12	13.7664727787681	3.11378177013028	0.825370146265669
+236.73	13.7673725635578	3.11378282766206	0.81752398930313
+237.68	13.7682723486544	3.11378388442264	0.813171489240326
+237.51	13.7691721340578	3.113784940412	0.819307235404549
+250.6	13.7700719197678	3.11378599563014	0.807690197584469
+243.95	13.770971705784	3.11378705007706	0.820073494263862
+262.32	13.7718714921063	3.11378810375277	0.823027061086868
+258.94	13.7727712787345	3.11378915665726	0.795683431641827
+242.62	13.7736710656683	3.11379020879053	0.81697869593286
+242.68	13.7745708529075	3.11379126015257	0.824426973266142
+238.87	13.7754706404519	3.11379231074339	0.808789125766319
+248.76	13.7763704283013	3.11379336056299	0.805924310326889
+258.09	13.7772702164554	3.11379440961136	0.796041195058447
+260.05	13.778170004914	3.1137954578885	0.807215781797405
+245.4	13.7790697936769	3.11379650539441	0.815165533364097
+239.4	13.7799695827438	3.1137975521291	0.817624131249579
+233.12	13.7808693721146	3.11379859809255	0.822450903840771
+239.74	13.781769161789	3.11379964328477	0.821576364872454
+240.96	13.7826689517668	3.11380068770575	0.796300013650123
+225.41	13.7835687420478	3.11380173135551	0.813769224836723
+229.33	13.7844685326317	3.11380277423402	0.817528551263955
+239.09	13.7853683235184	3.1138038163413	0.822551979219397
+243.51	13.7862681147075	3.11380485767733	0.812735042090904
+257.57	13.7871679061989	3.11380589824213	0.812619280445823
+250.78	13.7880676979923	3.11380693803569	0.800956671893297
+241.49	13.7889674900876	3.113807977058	0.808971017311807
+246.63	13.7898672824845	3.11380901530907	0.788290499446723
+237.88	13.7907670751828	3.11381005278889	0.796064756335444
+232	13.7916668681822	3.11381108949747	0.8008700827333
+231.96	13.7925666614825	3.11381212543479	0.805284150447939
+241.42	13.7934664550835	3.11381316060087	0.812366721413777
+244.03	13.7943662489851	3.1138141949957	0.786424839228296
+242.18	13.7952660431868	3.11381522861928	0.817634979259762
+236.75	13.7961658376887	3.1138162614716	0.802631900192876
+230.95	13.7970656324903	3.11381729355267	0.80537642859211
+234.09	13.7979654275915	3.11381832486248	0.81737202382104
+233.41	13.798865222992	3.11381935540104	0.812477947072975
+242.43	13.7997650186917	3.11382038516834	0.807152393215733
+239.77	13.8006648146904	3.11382141416438	0.813896201302999
+237.77	13.7115875950264	3.11281132806927	0.809562498083821
+235.48	13.7124873599001	3.11281243232109	0.808902697160945
+235.7	13.7133871250945	3.112813535802	0.813260400129414
+237.56	13.7142868906093	3.11281463851201	0.817086453880997
+237.31	13.7151866564442	3.11281574045111	0.817809523459413
+233.13	13.7160864225991	3.11281684161929	0.808330625458834
+235.51	13.7169861890738	3.11281794201656	0.81312054577572
+236.18	13.717885955868	3.11281904164292	0.814347782381915
+245.97	13.7187857229814	3.11282014049837	0.808850460493503
+233.52	13.7196854904139	3.11282123858289	0.820709940504044
+235.49	13.7205852581653	3.1128223358965	0.820311821173164
+227.41	13.7214850262353	3.11282343243918	0.816669749721541
+234.14	13.7223847946237	3.11282452821095	0.814966714665903
+235.59	13.7232845633302	3.1128256232118	0.812363151474744
+239.09	13.7241843323547	3.11282671744172	0.81112616623437
+236.34	13.7250841016969	3.11282781090071	0.806702368642346
+232.38	13.7259838713567	3.11282890358878	0.810743798405445
+228.57	13.7268836413336	3.11282999550592	0.821131904959144
+236.98	13.7277834116277	3.11283108665213	0.807347009244581
+237.36	13.7286831822386	3.11283217702741	0.803970403913799
+247.14	13.729582953166	3.11283326663176	0.813922878879921
+263.24	13.7304827244099	3.11283435546518	0.817911796561966
+247.32	13.7313824959699	3.11283544352766	0.817090065968459
+249.5	13.7322822678458	3.11283653081921	0.816141259530389
+246.63	13.7331820400375	3.11283761733982	0.81607922292743
+247.82	13.7340818125446	3.11283870308949	0.812936938689249
+251.98	13.734981585367	3.11283978806822	0.825379590969965
+259.93	13.7358813585044	3.11284087227601	0.796298396425412
+251.88	13.7367811319567	3.11284195571285	0.812052185942939
+238.3	13.7376809057235	3.11284303837876	0.80743154839784
+241.08	13.7385806798047	3.11284412027372	0.803536863278802
+248.64	13.7394804542	3.11284520139773	0.809810170534954
+239.93	13.7403802289093	3.11284628175079	0.812880248726275
+237.25	13.7412800039322	3.1128473613329	0.814463234535738
+241.85	13.7421797792686	3.11284844014407	0.803525211263214
+247.73	13.7430795549183	3.11284951818428	0.806054083550597
+237.36	13.7439793308809	3.11285059545354	0.815200761179829
+231.33	13.7448791071564	3.11285167195184	0.81698773744058
+237.22	13.7457788837444	3.11285274767919	0.809491423249775
+236.17	13.7466786606448	3.11285382263558	0.817365730533322
+244.31	13.7475784378573	3.11285489682102	0.799825233055248
+240.84	13.7484782153818	3.11285597023549	0.813945523959262
+234.07	13.7493779932178	3.112857042879	0.789722455166352
+248.76	13.7502777713654	3.11285811475155	0.802377135707863
+255.71	13.7511775498242	3.11285918585313	0.804484830719625
+245.12	13.7520773285939	3.11286025618376	0.808956968410692
+239.29	13.7529771076745	3.11286132574341	0.815239077316237
+242.5	13.7538768870656	3.1128623945321	0.806393855867317
+247.29	13.7547766667671	3.11286346254981	0.800004399052737
+242.13	13.7556764467786	3.11286452979656	0.816636095867995
+258.18	13.7565762271001	3.11286559627233	0.789667093779465
+253.91	13.7574760077312	3.11286666197714	0.804059782753337
+248.81	13.7583757886717	3.11286772691096	0.813101862269123
+251.1	13.7592755699215	3.11286879107382	0.805381416423562
+254.82	13.7601753514802	3.11286985446569	0.819398699280492
+252.31	13.7610751333477	3.11287091708659	0.805343723025998
+259.83	13.7619749155238	3.11287197893651	0.806776830148468
+252.23	13.7628746980081	3.11287304001544	0.814820373886483
+255.6	13.7637744808006	3.1128741003234	0.817494950686264
+252.99	13.7646742639009	3.11287515986037	0.809606847845453
+250.21	13.7655740473089	3.11287621862635	0.818847434129294
+237.61	13.7664738310243	3.11287727662135	0.82599639089696
+235.89	13.7673736150469	3.11287833384536	0.827364816664289
+239.08	13.7682733993765	3.11287939029839	0.810373825844123
+238.98	13.7691731840128	3.11288044598042	0.803816717622844
+243.41	13.7700729689556	3.11288150089147	0.803380281690141
+243.51	13.7709727542048	3.11288255503151	0.81195352362497
+242.16	13.77187253976	3.11288360840057	0.814596848580947
+250.16	13.7727723256211	3.11288466099863	0.82950685492122
+240.26	13.7736721117878	3.1128857128257	0.817969286517921
+234.07	13.7745718982599	3.11288676388176	0.82400732775312
+232.63	13.7754716850372	3.11288781416683	0.820621276562628
+246.51	13.7763714721195	3.1128888636809	0.814316396569592
+253.14	13.7772712595065	3.11288991242396	0.812107140834702
+254.54	13.778171047198	3.11289096039602	0.796147962563689
+244.59	13.7790708351938	3.11289200759708	0.80517938332154
+244.35	13.7799706234936	3.11289305402713	0.802918921077325
+240.69	13.7808704120973	3.11289409968618	0.813709435353033
+240	13.7817702010046	3.11289514457422	0.808863068190752
+234.33	13.7826699902153	3.11289618869124	0.803837534555805
+226.77	13.7835697797292	3.11289723203726	0.811121436300954
+244.81	13.784469569546	3.11289827461226	0.809664502288439
+237.78	13.7853693596655	3.11289931641626	0.807654298448582
+252.87	13.7862691500875	3.11290035744923	0.806817412752006
+254.72	13.7871689408118	3.11290139771119	0.813204590630123
+244.17	13.7880687318382	3.11290243720214	0.801717482451035
+234.56	13.7889685231663	3.11290347592206	0.810747746294321
+233.23	13.7898683147961	3.11290451387097	0.810899765931441
+224.27	13.7907681067272	3.11290555104886	0.812621430255339
+234.77	13.7916678989595	3.11290658745572	0.808028895112016
+236.91	13.7925676914927	3.11290762309156	0.819007643637659
+243.37	13.7934674843266	3.11290865795637	0.812278050913107
+240.83	13.794367277461	3.11290969205016	0.815408315838758
+237.13	13.7952670708957	3.11291072537292	0.808556317335945
+234.21	13.7961668646304	3.11291175792465	0.81551672380832
+225.11	13.7970666586649	3.11291278970535	0.818138960691328
+236.18	13.7979664529989	3.11291382071502	0.819526124991041
+235.12	13.7988662476324	3.11291485095366	0.805609112640527
+241.36	13.799766042565	3.11291588042127	0.816855011780949
+231.52	13.8006658377964	3.11291690911784	0.828250602338621
+235.21	13.7115886937514	3.11190685374302	0.80839344418316
+236.82	13.7124884578584	3.11190795767337	0.812908084497496
+235.31	13.7133882222859	3.11190906083305	0.806171357714595
+238.33	13.7142879870339	3.11191016322204	0.815272399142761
+231.63	13.7151877521021	3.11191126484035	0.823033718532471
+239.85	13.7160875174902	3.11191236568797	0.812941212038759
+232.15	13.7169872831981	3.1119134657649	0.815187495048048
+247.1	13.7178870492255	3.11191456507114	0.805790983621497
+239.98	13.7187868155721	3.11191566360669	0.813764244348963
+237.37	13.7196865822379	3.11191676137155	0.817623710753482
+236.84	13.7205863492224	3.11191785836571	0.811514035607846
+229.55	13.7214861165256	3.11191895458918	0.81301538905416
+237.53	13.7223858841472	3.11192005004195	0.822343895619758
+227.29	13.723285652087	3.11192114472402	0.815458885454601
+231.36	13.7241854203447	3.1119222386354	0.815941940131508
+238.14	13.7250851889201	3.11192333177607	0.807974551125249
+237.9	13.725984957813	3.11192442414604	0.810579043367
+236.1	13.7268847270232	3.11192551574531	0.814190898082435
+239.12	13.7277844965504	3.11192660657387	0.815132560868624
+242.76	13.7286842663945	3.11192769663173	0.811220630158937
+258.43	13.7295840365552	3.11192878591888	0.799482587943489
+270.56	13.7304838070322	3.11192987443532	0.798634932238655
+265.75	13.7313835778254	3.11193096218105	0.834471944657955
+259.26	13.7322833489346	3.11193204915607	0.838348857695533
+246.91	13.7331831203594	3.11193313536038	0.821583171077321
+251.96	13.7340828920997	3.11193422079397	0.825894552257869
+249.96	13.7349826641553	3.11193530545685	0.814559838101371
+254.57	13.7358824365259	3.11193638934901	0.810649209978228
+242.49	13.7367822092113	3.11193747247045	0.816167879931698
+244.52	13.7376819822113	3.11193855482118	0.815890729352519
+253.74	13.7385817555257	3.11193963640118	0.815877478859139
+239.6	13.7394815291542	3.11194071721046	0.812276001388353
+242.09	13.7403813030966	3.11194179724902	0.80216433954875
+240.37	13.7412810773528	3.11194287651685	0.817995308457599
+238.94	13.7421808519223	3.11194395501396	0.813726510552183
+242.53	13.7430806268052	3.11194503274033	0.806264368495976
+234.66	13.743980402001	3.11194610969598	0.815882271061138
+230.61	13.7448801775097	3.1119471858809	0.815098442224215
+237.91	13.7457799533309	3.11194826129509	0.812418170377579
+239.55	13.7466797294644	3.11194933593855	0.812564648615759
+241.76	13.7475795059101	3.11195040981127	0.823527309122105
+245.52	13.7484792826677	3.11195148291326	0.80381642175639
+242.73	13.7493790597369	3.11195255524451	0.795384208000265
+247.1	13.7502788371176	3.11195362680502	0.801212158837817
+251.21	13.7511786148096	3.11195469759479	0.811226978025131
+246.53	13.7520783928125	3.11195576761382	0.809643365343783
+251.21	13.7529781711262	3.11195683686211	0.812414348762845
+235.07	13.7538779497505	3.11195790533966	0.812075973351262
+243.07	13.7547777286851	3.11195897304646	0.806097338680277
+249.95	13.7556775079298	3.11196003998252	0.79917086192905
+253.46	13.7565772874844	3.11196110614782	0.797458229302974
+250.74	13.7574770673487	3.11196217154238	0.806790440826431
+237.78	13.7583768475224	3.11196323616619	0.809718245770868
+247.31	13.7592766280053	3.11196430001925	0.807448822154003
+251.05	13.7601764087972	3.11196536310156	0.805512438972204
+248.25	13.7610761898978	3.11196642541311	0.808736881935489
+243.76	13.761975971307	3.11196748695391	0.801010134908383
+243.62	13.7628757530245	3.11196854772395	0.808351528820852
+256.31	13.7637755350502	3.11196960772323	0.798918970937319
+247.38	13.7646753173836	3.11197066695176	0.805799045201258
+244.51	13.7655751000247	3.11197172540952	0.811937019406811
+240.72	13.7664748829733	3.11197278309652	0.803566248751088
+233.48	13.767374666229	3.11197384001276	0.825479018683221
+242.74	13.7682744497917	3.11197489615824	0.815799575793062
+245.12	13.7691742336612	3.11197595153295	0.810663619693811
+243.99	13.7700740178372	3.11197700613689	0.816531309297913
+241.46	13.7709738023195	3.11197805997006	0.807291624702897
+228	13.7718735871078	3.11197911303247	0.813891572035033
+240.31	13.772773372202	3.1119801653241	0.821280585657873
+239.04	13.7736731576019	3.11198121684496	0.831941574037871
+240.88	13.7745729433071	3.11198226759505	0.812352228821867
+242.01	13.7754727293175	3.11198331757437	0.823611285916296
+248.83	13.7763725156329	3.1119843667829	0.813608952693323
+253.98	13.777272302253	3.11198541522067	0.813547969203139
+251.51	13.7781720891777	3.11198646288765	0.804279170119291
+242.54	13.7790718764066	3.11198750978385	0.80704571548061
+250.77	13.7799716639396	3.11198855590927	0.802924499205213
+246.05	13.7808714517764	3.11198960126391	0.811306251483649
+229.95	13.7817712399168	3.11199064584776	0.806563346507394
+232.54	13.7826710283606	3.11199168966083	0.807122369037876
+238.53	13.7835708171076	3.11199273270312	0.807644997330981
+240.36	13.7844706061575	3.11199377497461	0.805518079323376
+242.42	13.7853703955102	3.11199481647532	0.811427662427185
+250.37	13.7862701851653	3.11199585720524	0.802061822855119
+249.48	13.7871699751227	3.11199689716437	0.811097874956769
+238.35	13.7880697653821	3.1119979363527	0.817642938380772
+234.9	13.7889695559434	3.11199897477024	0.810206498466751
+234.68	13.7898693468063	3.11200001241698	0.801792520032035
+242.98	13.7907691379705	3.11200104929293	0.79674927772646
+237.55	13.7916689294359	3.11200208539808	0.809453028634576
+237.25	13.7925687212022	3.11200312073243	0.805972141871746
+251.77	13.7934685132693	3.11200415529598	0.809869235961223
+239.87	13.7943683056368	3.11200518908873	0.816950899375273
+239.52	13.7952680983045	3.11200622211067	0.81327729879052
+235.2	13.7961678912723	3.11200725436181	0.825565246375201
+225.01	13.7970676845399	3.11200828584215	0.822582504130009
+232.87	13.7979674781071	3.11200931655168	0.810281793126723
+232.55	13.7988672719736	3.1120103464904	0.811764332876245
+239.2	13.7997670661392	3.11201137565831	0.806295156800605
+227.46	13.8006668606038	3.11201240405541	0.819628426855977
+233.9	13.7115897921555	3.11100237940083	0.804546476520845
+241.26	13.7124895554959	3.11100348300973	0.806286055767556
+227.05	13.713389319157	3.11100458584817	0.820734867777057
+232.42	13.7142890831384	3.11100568791615	0.819070757745876
+241.46	13.71518884744	3.11100678921366	0.807300539257728
+235.62	13.7160886120616	3.11100788974071	0.810723421433645
+230.63	13.7169883770029	3.1110089894973	0.814061587542965
+231.65	13.7178881422637	3.11101008848343	0.815186487312748
+232.83	13.7187879078438	3.11101118669909	0.817344179556899
+236.8	13.719687673743	3.11101228414428	0.826126729850762
+232.55	13.720587439961	3.11101338081899	0.813056852775697
+234.94	13.7214872064976	3.11101447672324	0.816376295932765
+236.8	13.7223869733526	3.11101557185702	0.825373461977234
+240.97	13.7232867405258	3.11101666622032	0.81708243870406
+233.47	13.7241865080169	3.11101775981315	0.807451046709639
+243.72	13.7250862758258	3.1110188526355	0.790109678351774
+231.35	13.7259860439521	3.11101994468738	0.813890467921414
+246.04	13.7268858123957	3.11102103596877	0.820600745642515
+238.92	13.7277855811564	3.11102212647969	0.820474733370963
+238.29	13.7286853502339	3.11102321622012	0.807965616492851
+251.15	13.729585119628	3.11102430519008	0.802783341648113
+247.42	13.7304848893384	3.11102539338954	0.809785596481583
+263.45	13.731384659365	3.11102648081852	0.818655274132845
+261.76	13.7322844297076	3.11102756747702	0.821556983122704
+252.98	13.7331842003658	3.11102865336502	0.815051148871272
+250.25	13.7340839713396	3.11102973848254	0.796407185628743
+244.55	13.7349837426286	3.11103082282956	0.815542329539026
+248.74	13.7358835142326	3.1110319064061	0.817204455520206
+242.84	13.7367832861514	3.11103298921214	0.812265416305046
+245.1	13.7376830583848	3.11103407124768	0.80755425772992
+248.04	13.7385828309326	3.11103515251273	0.819521917962587
+244.41	13.7394826037945	3.11103623300728	0.817858096028488
+238.96	13.7403823769703	3.11103731273133	0.812074520455581
+238.11	13.7412821504599	3.11103839168488	0.808077140321149
+235.75	13.7421819242628	3.11103946986793	0.797797566272182
+240.13	13.7430816983791	3.11104054728047	0.798265857839905
+233.68	13.7439814728083	3.11104162392252	0.805353378020162
+234.24	13.7448812475503	3.11104269979405	0.810617850829964
+237.53	13.7457810226049	3.11104377489508	0.814500898244968
+236.46	13.7466807979719	3.1110448492256	0.815680975911056
+242.11	13.747580573651	3.11104592278561	0.820242167642125
+244.1	13.7484803496419	3.11104699557511	0.807173614725784
+242.84	13.7493801259446	3.1110480675941	0.800307902424833
+231.67	13.7502799025587	3.11104913884258	0.812970691602862
+234.32	13.751179679484	3.11105020932054	0.809267556248174
+237.98	13.7520794567203	3.11105127902798	0.826949144577747
+233.55	13.7529792342674	3.11105234796491	0.81844283387055
+228.11	13.7538790121251	3.11105341613131	0.811927283476204
+234.76	13.7547787902931	3.1110544835272	0.812667900894158
+246.73	13.7556785687712	3.11105555015256	0.799131850244167
+243.94	13.7565783475591	3.11105661600741	0.809553306645812
+241.63	13.7574781266568	3.11105768109173	0.803892847191816
+243.69	13.7583779060638	3.11105874540552	0.811654599213093
+246.94	13.7592776857801	3.11105980894878	0.802888953338489
+252.71	13.7601774658054	3.11106087172152	0.800634528322065
+243.41	13.7610772461394	3.11106193372373	0.806173586732841
+236.34	13.761977026782	3.11106299495541	0.812591496403794
+245.38	13.7628768077329	3.11106405541655	0.805746596354741
+245.24	13.7637765889918	3.11106511510717	0.803057450480809
+233.64	13.7646763705587	3.11106617402725	0.809188185318923
+233.23	13.7655761524332	3.11106723217679	0.822457855467594
+239.87	13.7664759346151	3.11106828955579	0.810061933721734
+239.11	13.7673757171042	3.11106934616426	0.812043550692026
+243.45	13.7682754999003	3.11107040200219	0.81132887207988
+246.42	13.7691752830031	3.11107145706957	0.811440628479332
+243.75	13.7700750664124	3.11107251136641	0.816464339336507
+228.34	13.7709748501281	3.11107356489271	0.808067841118642
+230.05	13.7718746341498	3.11107461764847	0.818814920662338
+238.5	13.7727744184773	3.11107566963368	0.809772262567863
+243.19	13.7736742031105	3.11107672084834	0.833057569118123
+242.82	13.7745739880491	3.11107777129245	0.819141611200367
+237.55	13.7754737732929	3.11107882096601	0.814192008610671
+241.81	13.7763735588416	3.11107986986902	0.805106709755863
+259.06	13.7772733446951	3.11108091800148	0.80682700063843
+254.66	13.7781731308531	3.11108196536338	0.801300201249213
+241.14	13.7790729173154	3.11108301195473	0.811683907400015
+243.05	13.7799727040817	3.11108405777552	0.809902656390445
+252.02	13.7808724911518	3.11108510282575	0.802824964411249
+230.68	13.7817722785256	3.11108614710542	0.814577574528398
+224.65	13.7826720662028	3.11108719061454	0.808973903036454
+236.11	13.7835718541831	3.11108823335309	0.806373906190005
+251.4	13.7844716424663	3.11108927532107	0.806399849709987
+266.33	13.7853714310523	3.1110903165185	0.79733554595718
+251.37	13.7862712199408	3.11109135694536	0.808278096014834
+241.09	13.7871710091315	3.11109239660165	0.808771224324862
+236.15	13.7880707986243	3.11109343548737	0.815981646263022
+233.33	13.7889705884189	3.11109447360252	0.816510413633805
+236.8	13.7898703785151	3.1110955109471	0.794184609917649
+245.34	13.7907701689127	3.11109654752111	0.797542503174301
+241.77	13.7916699596114	3.11109758332455	0.800381405857131
+251.77	13.792569750611	3.11109861835741	0.803960518484738
+247.86	13.7934695419114	3.1110996526197	0.819928656361474
+237.85	13.7943693335122	3.11110068611141	0.815563645319439
+232.24	13.7952691254133	3.11110171883254	0.822261729410857
+226.38	13.7961689176144	3.11110275078309	0.823717043763593
+215.38	13.7970687101153	3.11110378196306	0.80966568925028
+228.44	13.7979685029158	3.11110481237245	0.804687597037233
+233.18	13.7988682960157	3.11110584201125	0.804846879794859
+222.43	13.7997680894146	3.11110687087947	0.812092658349916
+225.56	13.8006678831125	3.1111078989771	0.818438348476645
+242.21	13.7115908902388	3.11009790504273	0.804510239556113
+236.12	13.7124906528129	3.11009900833016	0.808423773200828
+231.04	13.7133904157076	3.11010011084736	0.814159878654121
+230.89	13.7142901789227	3.11010121259432	0.823659319743705
+239.6	13.7151899424579	3.11010231357105	0.804001152793122
+239.11	13.7160897063132	3.11010341377754	0.804584030945096
+234.81	13.7169894704881	3.11010451321379	0.819768377331662
+229.06	13.7178892349826	3.1101056118798	0.818629776424319
+232.95	13.7187889997964	3.11010670977556	0.829595142288528
+236.3	13.7196887649292	3.11010780690108	0.824307730314546
+231.34	13.7205885303809	3.11010890325636	0.811497293852892
+233.49	13.7214882961511	3.11010999884139	0.810177823323164
+237.45	13.7223880622398	3.11011109365617	0.811171070369895
+238.24	13.7232878286466	3.11011218770071	0.813681827042752
+235.98	13.7241875953714	3.11011328097499	0.80322671721857
+231.75	13.7250873624139	3.11011437347902	0.815435366321442
+236.2	13.7259871297739	3.1101154652128	0.804085845492628
+240.68	13.7268868974512	3.11011655617632	0.795497008545254
+238.68	13.7277866654455	3.11011764636959	0.815357386394109
+247.77	13.7286864337566	3.1101187357926	0.811034913181416
+242.47	13.7295862023843	3.11011982444535	0.802674701551106
+248.49	13.7304859713284	3.11012091232785	0.805024150193732
+253.92	13.7313857405887	3.11012199944008	0.817536154332613
+250.97	13.7322855101649	3.11012308578205	0.812713493128332
+245.56	13.7331852800568	3.11012417135375	0.819355453921961
+249.89	13.7340850502641	3.11012525615519	0.799569096778123
+244.35	13.7349848207868	3.11012634018637	0.823187666394806
+241.12	13.7358845916244	3.11012742344727	0.811671773194152
+244.75	13.7367843627769	3.11012850593791	0.816194362295512
+246.36	13.7376841342439	3.11012958765827	0.811503528736153
+238.24	13.7385839060253	3.11013066860837	0.805070320182939
+233.06	13.7394836781209	3.11013174878819	0.803281402625784
+235.68	13.7403834505303	3.11013282819773	0.800596757924768
+231.64	13.7412832232535	3.110133906837	0.799731659813893
+231.19	13.7421829962901	3.11013498470599	0.793705448037185
+239.65	13.7430827696399	3.11013606180471	0.798223514077381
+228.53	13.7439825433028	3.11013713813314	0.816267119156567
+239.78	13.7448823172785	3.11013821369129	0.812755633660441
+236.41	13.7457820915667	3.11013928847916	0.812224556526135
+226.17	13.7466818661672	3.11014036249675	0.814372412321555
+234.44	13.7475816410799	3.11014143574405	0.79914081225451
+236.89	13.7484814163045	3.11014250822107	0.806342662525159
+241.42	13.7493811918408	3.11014357992779	0.79418570303269
+239.26	13.7502809676885	3.11014465086423	0.801472444763283
+241.37	13.7511807438474	3.11014572103038	0.814015267175573
+241.96	13.7520805203174	3.11014679042624	0.816096807026803
+241.6	13.7529802970981	3.1101478590518	0.80737430521716
+236.18	13.7538800741893	3.11014892690707	0.80509127053638
+230.29	13.7547798515909	3.11014999399204	0.817584454900672
+237.76	13.7556796293026	3.11015106030671	0.819284998131657
+256.7	13.7565794073242	3.11015212585109	0.795217649168789
+243.33	13.7574791856554	3.11015319062517	0.799052446367173
+248.3	13.7583789642961	3.11015425462894	0.803597986610885
+250.93	13.759278743246	3.11015531786242	0.790833668948852
+248.97	13.7601785225048	3.11015638032559	0.807213164595447
+235.8	13.7610783020725	3.11015744201845	0.806277820666546
+232.96	13.7619780819486	3.11015850294101	0.815592807937812
+245.99	13.7628778621331	3.11015956309326	0.810277658028772
+251.77	13.7637776426257	3.11016062247521	0.813000057067854
+249.24	13.7646774234261	3.11016168108684	0.805126307751651
+232.99	13.7655772045342	3.11016273892816	0.816009028094003
+241.29	13.7664769859497	3.11016379599917	0.828578668259398
+244.93	13.7673767676724	3.11016485229986	0.817963022905996
+233.57	13.768276549702	3.11016590783024	0.816483681045422
+249.23	13.7691763320384	3.1101669625903	0.8036936434697
+231.21	13.7700761146814	3.11016801658005	0.824806375575261
+233.09	13.7709758976306	3.11016906979947	0.817759957985005
+236.75	13.7718756808859	3.11017012224858	0.804708240443417
+231.2	13.772775464447	3.11017117392736	0.815859707179705
+239.39	13.7736752483138	3.11017222483582	0.824208574495717
+238.16	13.774575032486	3.11017327497395	0.837578290952059
+232.17	13.7754748169633	3.11017432434176	0.815838009962797
+240.58	13.7763746017456	3.11017537293924	0.807174184833952
+254.46	13.7772743868327	3.1101764207664	0.807426693186026
+245.74	13.7781741722242	3.11017746782322	0.811585691404164
+245.83	13.7790739579201	3.11017851410971	0.811255821541354
+242.14	13.7799737439199	3.11017955962587	0.809548979543536
+240.55	13.7808735302237	3.1101806043717	0.817399454035599
+229.92	13.781773316831	3.11018164834719	0.819346784975361
+225.65	13.7826731037417	3.11018269155235	0.815433610578983
+249.89	13.7835728909556	3.11018373398717	0.80460789167655
+260.86	13.7844726784724	3.11018477565165	0.79573078643609
+252.98	13.785372466292	3.11018581654579	0.797173686805061
+237	13.786272254414	3.11018685666959	0.810029291341096
+249.69	13.7871720428383	3.11018789602305	0.804982128385917
+239.91	13.7880718315646	3.11018893460616	0.823792366011738
+232.18	13.7889716205928	3.11018997241893	0.814526372614398
+240.5	13.7898714099226	3.11019100946135	0.804528480728218
+253.28	13.7907711995537	3.11019204573342	0.810679430410466
+243.53	13.791670989486	3.11019308123515	0.810409611727049
+255.46	13.7925707797192	3.11019411596652	0.80456524969424
+249.03	13.7934705702531	3.11019514992754	0.799283593995689
+256.67	13.7943703610874	3.11019618311821	0.794173563597864
+230.44	13.7952701522221	3.11019721553853	0.813009494581375
+227.28	13.7961699436567	3.11019824718849	0.802715538341306
+227.19	13.7970697353912	3.11019927806809	0.809900327617369
+228.63	13.7979695274252	3.11020030817734	0.80172585098152
+227.92	13.7988693197586	3.11020133751623	0.810646082163014
+222.58	13.7997691123911	3.11020236608476	0.81442610399078
+233.71	13.8006689053225	3.11020339388292	0.79888678458993
+235.64	13.7115919880013	3.1091934306687	0.806501812975614
+240.54	13.7124917498092	3.10919453363467	0.815694749785744
+240.03	13.7133915119378	3.10919563583063	0.811548793101489
+231.18	13.7142912743868	3.10919673725658	0.818738962555
+228.93	13.7151910371559	3.10919783791252	0.822617486650324
+233.45	13.716090800245	3.10919893779844	0.803810421062215
+231.45	13.7169905636539	3.10920003691435	0.812435668603194
+232.85	13.7178903273823	3.10920113526024	0.822751603061802
+234.85	13.7187900914299	3.10920223283612	0.817026847059536
+230.6	13.7196898557966	3.10920332964197	0.823749307043435
+230.91	13.7205896204822	3.10920442567781	0.806822065759792
+231.37	13.7214893854863	3.10920552094362	0.81534284296796
+245.28	13.7223891508089	3.10920661543941	0.810567005519523
+238.42	13.7232889164496	3.10920770916517	0.799773989718124
+231.23	13.7241886824082	3.10920880212091	0.813201898616368
+236.64	13.7250884486846	3.10920989430662	0.810279319950808
+233.34	13.7259882152784	3.10921098572231	0.810818596905251
+242.92	13.7268879821896	3.10921207636796	0.798837536097885
+243.58	13.7277877494178	3.10921316624358	0.812206783709811
+241.54	13.7286875169628	3.10921425534917	0.813626383508059
+240.08	13.7295872848244	3.10921534368472	0.807020020231962
+240.62	13.7304870530023	3.10921643125024	0.802991040821781
+257.76	13.7313868214965	3.10921751804572	0.81530926558363
+246.38	13.7322865903065	3.10921860407117	0.814100459020222
+245.17	13.7331863594322	3.10921968932657	0.832794454201927
+245.42	13.7340861288735	3.10922077381194	0.808588274641404
+235.45	13.73498589863	3.10922185752726	0.812262526310035
+238.01	13.7358856687015	3.10922294047254	0.811285136315392
+240.45	13.7367854390878	3.10922402264777	0.809241800982762
+243.8	13.7376852097887	3.10922510405296	0.789777208619915
+233.32	13.738584980804	3.1092261846881	0.794858383241363
+234.83	13.7394847521333	3.10922726455319	0.804854523714627
+239.72	13.7403845237766	3.10922834364823	0.803915460557845
+232.98	13.7412842957336	3.10922942197322	0.798721549880067
+229.84	13.7421840680041	3.10923049952815	0.815551169562074
+234.85	13.7430838405878	3.10923157631304	0.811254368565222
+235.9	13.7439836134845	3.10923265232786	0.8148188777709
+240.25	13.744883386694	3.10923372757263	0.819689363873887
+235.21	13.7457831602161	3.10923480204734	0.806925389363267
+234.67	13.7466829340505	3.109235875752	0.804810122506802
+237.77	13.747582708197	3.10923694868659	0.805665793287767
+235.09	13.7484824826554	3.10923802085112	0.810515507551947
+228.23	13.7493822574255	3.10923909224559	0.814942474463698
+230.55	13.7502820325071	3.10924016286999	0.816765845913855
+241.77	13.7511818078998	3.10924123272432	0.813715565372109
+237.86	13.7520815836036	3.10924230180859	0.810039543409699
+241.03	13.7529813596181	3.10924337012279	0.800858582417098
+235.12	13.7538811359432	3.10924443766692	0.802294714606417
+227.82	13.7547809125787	3.10924550444098	0.81212473213034
+238.32	13.7556806895242	3.10924657044496	0.829974129113772
+247.13	13.7565804667796	3.10924763567888	0.801098239922011
+250.14	13.7574802443447	3.10924870014271	0.803791821030616
+244.79	13.7583800222191	3.10924976383647	0.802960438655286
+252.7	13.7592798004029	3.10925082676015	0.803708472627471
+233.74	13.7601795788955	3.10925188891376	0.817538984576933
+227.99	13.761079357697	3.10925295029728	0.817521004820246
+238.19	13.761979136807	3.10925401091072	0.799860336926834
+243.93	13.7628789162253	3.10925507075408	0.804870163982123
+243.48	13.7637786959516	3.10925612982735	0.81899587595896
+238.87	13.7646784759859	3.10925718813054	0.80097297779002
+239.27	13.7655782563278	3.10925824566364	0.822803222577537
+249.29	13.7664780369771	3.10925930242665	0.805221844730093
+245.42	13.7673778179336	3.10926035841957	0.811713498013255
+243.96	13.7682775991971	3.10926141364241	0.812169176823389
+247.24	13.7691773807673	3.10926246809514	0.801464939202207
+231.23	13.770077162644	3.10926352177779	0.815103649054707
+236.04	13.770976944827	3.10926457469034	0.809102818610707
+246.95	13.7718767273161	3.1092656268328	0.802677919852778
+235.76	13.7727765101111	3.10926667820515	0.819394052159891
+228.21	13.7736762932117	3.10926772880741	0.814733922137551
+238.88	13.7745760766176	3.10926877863957	0.830387445640328
+243.39	13.7754758603288	3.10926982770163	0.837870124291965
+257.07	13.7763756443449	3.10927087599358	0.822256525595982
+262.01	13.7772754286657	3.10927192351543	0.821865826591251
+251.73	13.7781752132911	3.10927297026718	0.814028173674987
+251.49	13.7790749982207	3.10927401624882	0.801537310597985
+238.31	13.7799747834544	3.10927506146035	0.818310040720997
+233.12	13.7808745689919	3.10927610590177	0.814695430673921
+231.58	13.781774354833	3.10927714957308	0.823731025379492
+244.93	13.7826741409775	3.10927819247428	0.812134347812907
+244.18	13.7835739274252	3.10927923460537	0.802438512166805
+253.97	13.7844737141758	3.10928027596634	0.803733329237244
+241.58	13.7853735012291	3.1092813165572	0.814077885041525
+235.15	13.786273288585	3.10928235637794	0.820846794762796
+232	13.787173076243	3.10928339542856	0.818620596153474
+230.72	13.7880728642032	3.10928443370907	0.820106874030377
+228.69	13.7889726524651	3.10928547121945	0.816106241254275
+239.75	13.7898724410286	3.10928650795971	0.810173132376805
+231.27	13.7907722298935	3.10928754392985	0.813965107377412
+248.15	13.7916720190596	3.10928857912986	0.809440754215377
+254.32	13.7925718085266	3.10928961355975	0.809789999624328
+248.33	13.7934715982942	3.10929064721951	0.817176093624547
+246.85	13.7943713883624	3.10929168010914	0.800191921554081
+239.48	13.7952711787308	3.10929271222864	0.799071017498758
+231.16	13.7961709693992	3.10929374357802	0.798067702850714
+227.71	13.7970707603674	3.10929477415725	0.808363232981581
+222.41	13.7979705516352	3.10929580396636	0.801979433123315
+226.87	13.7988703432024	3.10929683300533	0.813181361694919
+227.96	13.7997701350687	3.10929786127417	0.799823588282191
+227.31	13.8006699272339	3.10929888877287	0.804892039169091
+237.53	13.7115930854428	3.10828895627875	0.815714639435161
+232.29	13.7124928464849	3.10829005892326	0.814171721849779
+236.83	13.7133926078476	3.10829116079798	0.818512597166327
+237.11	13.7142923695307	3.10829226190292	0.820039693790757
+233.66	13.715192131534	3.10829336223807	0.821445364102488
+235.17	13.7160918938572	3.10829446180343	0.817340123996919
+233.19	13.7169916565001	3.108295560599	0.812031978317673
+242.02	13.7178914194626	3.10829665862478	0.800906874543845
+234.69	13.7187911827444	3.10829775588076	0.820563963015415
+227.84	13.7196909463452	3.10829885236695	0.812070105157737
+233	13.7205907102648	3.10829994808334	0.81299497506936
+231.73	13.7214904745031	3.10830104302994	0.812816169526133
+240.24	13.7223902390597	3.10830213720673	0.808725096759904
+242.73	13.7232900039345	3.10830323061373	0.803801638797802
+237.94	13.7241897691273	3.10830432325093	0.818570064436575
+240.51	13.7250895346378	3.10830541511832	0.80524912920752
+247.3	13.7259893004657	3.1083065062159	0.795909321175279
+241.62	13.7268890666109	3.10830759654369	0.810922207042815
+244.85	13.7277888330732	3.10830868610166	0.808438586857038
+246.31	13.7286885998523	3.10830977488983	0.811769427962331
+243.41	13.729588366948	3.10831086290818	0.810039541274829
+242.27	13.7304881343601	3.10831195015673	0.806982204886379
+242.65	13.7313879020883	3.10831303663546	0.805458224738388
+236.84	13.7322876701324	3.10831412234438	0.806703248983459
+237.35	13.7331874384922	3.10831520728349	0.819965459221869
+239.13	13.7340872071675	3.10831629145278	0.805109186703262
+234.57	13.7349869761581	3.10831737485225	0.818707752728371
+228.91	13.7358867454637	3.1083184574819	0.809576138147567
+236.1	13.7367865150841	3.10831953934173	0.808426557146098
+237.82	13.7376862850191	3.10832062043174	0.797378807059349
+234.6	13.7385860552684	3.10832170075192	0.801381249741533
+238.93	13.7394858258319	3.10832278030229	0.811038243196991
+238.33	13.7403855967093	3.10832385908282	0.803272666419047
+240.31	13.7412853679003	3.10832493709353	0.808450682114319
+233.83	13.7421851394049	3.10832601433441	0.818084628375761
+247.67	13.7430849112226	3.10832709080546	0.799423697556478
+234.7	13.7439846833534	3.10832816650668	0.81517373606961
+238	13.744884455797	3.10832924143807	0.816928170322322
+235.06	13.7457842285531	3.10833031559963	0.809850998252812
+238.49	13.7466840016216	3.10833138899135	0.803355823863636
+242.95	13.7475837750022	3.10833246161323	0.800789546213583
+230.69	13.7484835486947	3.10833353346527	0.815964497272781
+227.61	13.7493833226988	3.10833460454748	0.817187518336404
+239.01	13.7502830970144	3.10833567485985	0.811808946725383
+236.2	13.7511828716413	3.10833674440237	0.810425388462925
+232.81	13.7520826465791	3.10833781317505	0.810470839357156
+235.58	13.7529824218277	3.10833888117789	0.803763484336336
+242.52	13.7538821973868	3.10833994841088	0.794506526354969
+237.69	13.7547819732563	3.10834101487403	0.814292251666071
+240.53	13.7556817494359	3.10834208056732	0.820599837677658
+254.02	13.7565815259253	3.10834314549077	0.803443028910702
+252.17	13.7574813027244	3.10834420964437	0.816766037629721
+245.45	13.758381079833	3.10834527302811	0.808029737434831
+248.69	13.7592808572507	3.108346335642	0.805722570466078
+234.2	13.7601806349775	3.10834739748604	0.810343788059665
+234.71	13.761080413013	3.10834845856022	0.80101894253029
+239.55	13.761980191357	3.10834951886454	0.807029013461109
+252.6	13.7628799700093	3.10835057839901	0.801549390289905
+231.95	13.7637797489697	3.10835163716361	0.819095052208527
+227.09	13.764679528238	3.10835269515835	0.814096147223935
+234.94	13.765579307814	3.10835375238323	0.81775291604555
+237.86	13.7664790876973	3.10835480883825	0.809867306104551
+253.25	13.7673788678878	3.1083558645234	0.8079714474024
+254.49	13.7682786483853	3.10835691943869	0.811586627138515
+239.28	13.7691784291896	3.1083579735841	0.811029240673233
+237.1	13.7700782103003	3.10835902695965	0.823897393277103
+241.95	13.7709779917174	3.10836007956533	0.816598352656439
+246.32	13.7718777734405	3.10836113140113	0.810172209796422
+238.91	13.7727775554695	3.10836218246707	0.804160934657108
+230.24	13.7736773378041	3.10836323276312	0.820838730883007
+227.01	13.7745771204441	3.10836428228931	0.826443347949032
+239.38	13.7754769033893	3.10836533104561	0.821680682811987
+239.95	13.7763766866394	3.10836637903204	0.815941703514981
+251.59	13.7772764701943	3.10836742624859	0.816507567374955
+259.3	13.7781762540537	3.10836847269526	0.827147846332945
+252.98	13.7790760382173	3.10836951837204	0.832189403871366
+244.01	13.779975822685	3.10837056327894	0.8143233642718
+237.41	13.7808756074565	3.10837160741596	0.811663682396658
+227.04	13.7817753925317	3.10837265078309	0.82256760813838
+233.6	13.7826751779102	3.10837369338034	0.816442628114149
+233.82	13.7835749635919	3.10837473520769	0.81087534130842
+250.14	13.7844747495765	3.10837577626516	0.79395408468239
+243.24	13.7853745358638	3.10837681655274	0.811204300151177
+229.6	13.7862743224537	3.10837785607042	0.825809133914894
+231.42	13.7871741093457	3.10837889481821	0.823884333870913
+229.7	13.7880738965399	3.1083799327961	0.826812901472664
+236.6	13.7889736840358	3.1083809700041	0.821067722035397
+247.79	13.7898734718334	3.1083820064422	0.801044212831694
+249.09	13.7907732599323	3.1083830421104	0.799188706536407
+248.69	13.7916730483323	3.1083840770087	0.808312409399044
+256.7	13.7925728370333	3.10838511113711	0.807523087318868
+247.34	13.793472626035	3.1083861444956	0.803538212212899
+239.65	13.7943724153371	3.1083871770842	0.808326575851545
+241.75	13.7952722049395	3.10838820890289	0.803674997256555
+220.5	13.7961719948419	3.10838923995167	0.812428939393313
+229.75	13.7970717850441	3.10839027023055	0.813124429643149
+231.76	13.7979715755459	3.10839129973951	0.804800038671006
+224.09	13.7988713663471	3.10839232847857	0.824348765825872
+226.94	13.7997711574473	3.10839335644771	0.805084884367538
+231.73	13.8006709488465	3.10839438364694	0.840765141472168
+243.92	13.7115941825636	3.10738448187289	0.813810368206947
+243.86	13.71249394284	3.10738558419594	0.797602774109343
+242.53	13.713393703437	3.10738668574943	0.805710757597701
+235.21	13.7142934643544	3.10738778653335	0.809112784289374
+232.96	13.715193225592	3.10738888654771	0.817265397253974
+234.42	13.7160929871496	3.10738998579251	0.820545527357945
+241.29	13.7169927490269	3.10739108426774	0.804198858416542
+233.08	13.7178925112237	3.1073921819734	0.815185818606293
+224.66	13.7187922737398	3.1073932789095	0.811510404827344
+230.05	13.7196920365749	3.10739437507602	0.81745785784058
+234.8	13.7205917997289	3.10739547047297	0.812446808916638
+233.56	13.7214915632015	3.10739656510035	0.817931390060213
+242.15	13.7223913269924	3.10739765895815	0.798698298075643
+239.25	13.7232910911016	3.10739875204638	0.789064461592541
+234.25	13.7241908555287	3.10739984436503	0.813059791347849
+231.24	13.7250906202734	3.1074009359141	0.803895242831096
+234.13	13.7259903853357	3.1074020266936	0.80013094409021
+235.7	13.7268901507153	3.10740311670351	0.80878149133054
+241.38	13.7277899164119	3.10740420594384	0.804336835669748
+247.72	13.7286896824253	3.10740529441458	0.806859288428957
+246.64	13.7295894487553	3.10740638211574	0.80584503132683
+240.21	13.7304892154016	3.10740746904732	0.802010147534504
+231.73	13.7313889823642	3.1074085552093	0.811956938410427
+232.01	13.7322887496426	3.1074096406017	0.816721173239741
+237.06	13.7331885172368	3.1074107252245	0.817665719206588
+231.11	13.7340882851464	3.10741180907771	0.803136533668429
+235.94	13.7349880533712	3.10741289216134	0.815826820749989
+232.7	13.7358878219111	3.10741397447536	0.811930022661868
+235.81	13.7367875907658	3.10741505601979	0.804929178697788
+238.6	13.7376873599351	3.10741613679462	0.799806840455922
+227.93	13.7385871294188	3.10741721679986	0.809473892165835
+241.51	13.7394868992165	3.10741829603549	0.807467372448881
+246.37	13.7403866693282	3.10741937450152	0.806074203457207
+239.53	13.7412864397536	3.10742045219795	0.821708646726139
+237.73	13.7421862104924	3.10742152912478	0.821423685193334
+243.3	13.7430859815445	3.107422605282	0.814078468443657
+246.32	13.7439857529095	3.10742368066961	0.81253801703163
+242.68	13.7448855245874	3.10742475528762	0.798153871177619
+237.28	13.7457852965778	3.10742582913602	0.809006707122325
+236.8	13.7466850688806	3.1074269022148	0.806766273889061
+234.93	13.7475848414955	3.10742797452398	0.804919140208518
+240.97	13.7484846144222	3.10742904606354	0.80914021719095
+240.48	13.7493843876607	3.10743011683349	0.8070952915062
+243.82	13.7502841612106	3.10743118683382	0.804619043480322
+239.26	13.7511839350717	3.10743225606453	0.811224550958023
+242.77	13.7520837092438	3.10743332452563	0.806334474894915
+243.43	13.7529834837267	3.1074343922171	0.81360115818878
+239.71	13.7538832585201	3.10743545913896	0.809529902909516
+249.57	13.7547830336238	3.10743652529119	0.808230527748007
+237.98	13.7556828090377	3.1074375906738	0.81376015400319
+250.45	13.7565825847614	3.10743865528678	0.814297837474029
+252.32	13.7574823607948	3.10743971913014	0.800097480503899
+246.93	13.7583821371376	3.10744078220387	0.806586067566167
+244.67	13.7592819137896	3.10744184450797	0.816321943302563
+237.14	13.7601816907506	3.10744290604244	0.814766023254482
+235.83	13.7610814680204	3.10744396680727	0.80201281188211
+246.73	13.7619812455987	3.10744502680248	0.798522642115405
+234.54	13.7628810234853	3.10744608602805	0.800346441479705
+232.76	13.76378080168	3.10744714448399	0.806464848718601
+221.41	13.7646805801825	3.10744820217028	0.818827978524799
+239.25	13.7655803589927	3.10744925908695	0.809401877233633
+238.17	13.7664801381103	3.10745031523397	0.806313968574312
+245.18	13.7673799175351	3.10745137061135	0.808434178420859
+238.91	13.7682796972669	3.10745242521908	0.818211248010421
+248.09	13.7691794773054	3.10745347905718	0.810351941793514
+239.91	13.7700792576504	3.10745453212563	0.814535234821387
+252.22	13.7709790383017	3.10745558442443	0.813016663989571
+241.91	13.7718788192591	3.10745663595359	0.805880249289781
+229.84	13.7727786005223	3.1074576867131	0.806904139733187
+229.41	13.7736783820912	3.10745873670296	0.819074404335901
+230.26	13.7745781639654	3.10745978592317	0.823897280499683
+240.86	13.7754779461449	3.10746083437372	0.825402667765967
+250.02	13.7763777286292	3.10746188205462	0.815486800382761
+249.27	13.7772775114183	3.10746292896587	0.812055674274371
+246.71	13.7781772945119	3.10746397510746	0.809372475498041
+241.23	13.7790770779098	3.10746502047939	0.819564392054523
+240.8	13.7799768616118	3.10746606508167	0.833549550186465
+234.04	13.7808766456175	3.10746710891428	0.821251458851879
+226.36	13.7817764299269	3.10746815197723	0.823029969250539
+233.56	13.7826762145397	3.10746919427052	0.813517560469336
+236.39	13.7835759994556	3.10747023579415	0.808097152889587
+252.47	13.7844757846745	3.10747127654811	0.804824648384512
+237.79	13.785375570196	3.1074723165324	0.821717296822573
+229.93	13.7862753560201	3.10747335574703	0.822215653057125
+232.33	13.7871751421464	3.10747439419198	0.832188516063085
+241.86	13.7880749285748	3.10747543186727	0.816681641782485
+245.88	13.7889747153049	3.10747646877288	0.795358580733855
+239.42	13.7898745023367	3.10747750490882	0.803280725736299
+248.33	13.7907742896698	3.10747854027509	0.79636819443427
+251.82	13.7916740773041	3.10747957487168	0.814106804251003
+247.34	13.7925738652393	3.1074806086986	0.807271223341579
+244.03	13.7934736534752	3.10748164175583	0.789612702056109
+249.34	13.7943734420116	3.10748267404339	0.78385450519774
+235.15	13.7952732308482	3.10748370556127	0.817574032021947
+226.46	13.7961730199848	3.10748473630946	0.809649148060259
+230.17	13.7970728094212	3.10748576628797	0.808303003172502
+234.78	13.7979725991572	3.1074867954968	0.816091699919309
+227.52	13.7988723891926	3.10748782393594	0.804162760487827
+228.49	13.7997721795271	3.10748885160539	0.819659347107693
+246.28	13.8006719701605	3.10748987850516	0.822390658609034
+239.82	13.7115952793634	3.10648000745112	0.816341807080373
+236.05	13.7124950388744	3.10648110945271	0.811991556848651
+241.58	13.713394798706	3.10648221068496	0.812402076170816
+234.21	13.714294558858	3.10648331114787	0.809859154929577
+235.16	13.7151943193302	3.10648441084145	0.813131602137862
+238.44	13.7160940801223	3.10648550976568	0.810497030250884
+238.69	13.7169938412341	3.10648660792057	0.821236007630565
+233.64	13.7178936026655	3.10648770530612	0.814994884261218
+234.04	13.7187933644161	3.10648880192233	0.814348741025808
+232.43	13.7196931264858	3.10648989776918	0.809411523477548
+235.4	13.7205928888743	3.1064909928467	0.813670192081869
+241.77	13.7214926515815	3.10649208715486	0.803227868947746
+234.77	13.722392414607	3.10649318069367	0.814196558410082
+237.67	13.7232921779507	3.10649427346313	0.810088124992743
+241.82	13.7241919416123	3.10649536546324	0.808043529690088
+238.46	13.7250917055916	3.10649645669399	0.796847434540367
+239.4	13.7259914698885	3.10649754715539	0.791674324572689
+235.6	13.7268912345025	3.10649863684743	0.802863266874267
+241.24	13.7277909994337	3.10649972577012	0.814434313599589
+242.91	13.7286907646816	3.10650081392344	0.80388044469623
+248.58	13.7295905302462	3.1065019013074	0.807868729330886
+236.65	13.7304902961271	3.106502987922	0.809374633803367
+236.83	13.7313900623241	3.10650407376724	0.803906714141604
+232.58	13.7322898288371	3.10650515884311	0.811131033436228
+239.94	13.7331895956658	3.10650624314962	0.803160256761089
+239.24	13.7340893628099	3.10650732668676	0.814315250566112
+248	13.7349891302693	3.10650840945453	0.80352585525916
+240.47	13.7358888980438	3.10650949145293	0.800672318151402
+241.76	13.736788666133	3.10651057268196	0.813035157411573
+238.55	13.7376884345368	3.10651165314161	0.80739869876955
+237.5	13.738588203255	3.1065127328319	0.812734462526984
+241.39	13.7394879722873	3.1065138117528	0.814691776382793
+241.15	13.7403877416335	3.10651488990433	0.807774888935735
+240.3	13.7412875112934	3.10651596728648	0.81787051822268
+238.45	13.7421872812667	3.10651704389925	0.817185240126089
+237.8	13.7430870515533	3.10651811974264	0.805884034923482
+239.93	13.7439868221529	3.10651919481665	0.814726769378912
+236.66	13.7448865930652	3.10652026912128	0.819966946380101
+229.67	13.7457863642902	3.10652134265652	0.816663525864506
+240.81	13.7466861358275	3.10652241542237	0.810658991202618
+242.94	13.7475859076768	3.10652348741884	0.79581806772868
+245.7	13.7484856798381	3.10652455864592	0.80029691449665
+245.54	13.7493854523111	3.1065256291036	0.81609049361171
+243.88	13.7502852250955	3.1065266987919	0.804720328603553
+236.22	13.7511849981911	3.1065277677108	0.81742080925745
+239.85	13.7520847715977	3.10652883586031	0.817495280050346
+248.2	13.7529845453151	3.10652990324043	0.804907856072547
+246.08	13.753884319343	3.10653096985114	0.798810897576675
+238.94	13.7547840936813	3.10653203569246	0.808243976609116
+238.8	13.7556838683296	3.10653310076438	0.814971978194218
+246.43	13.7565836432879	3.1065341650669	0.81252994948368
+248.27	13.7574834185557	3.10653522860002	0.798542168534035
+253.03	13.758383194133	3.10653629136374	0.802668311748146
+241.19	13.7592829700196	3.10653735335805	0.808322037314406
+236.47	13.7601827462151	3.10653841458295	0.814570522110376
+233.86	13.7610825227193	3.10653947503845	0.810700212790591
+241.93	13.7619822995321	3.10654053472454	0.800254206960664
+215.92	13.7628820766532	3.10654159364122	0.819866115056355
+229.03	13.7637818540824	3.10654265178848	0.802131878188073
+241.94	13.7646816318194	3.10654370916634	0.80265459908281
+245.5	13.7655814098641	3.10654476577478	0.808020291929912
+239.53	13.7664811882162	3.10654582161381	0.806582722666892
+222.17	13.7673809668754	3.10654687668342	0.820462797589841
+224.02	13.7682807458417	3.10654793098361	0.81609515425717
+235.01	13.7691805251147	3.10654898451438	0.801318479576084
+248.5	13.7700803046942	3.10655003727573	0.812802315060492
+246.34	13.7709800845799	3.10655108926767	0.821532328648235
+235.26	13.7718798647718	3.10655214049018	0.806863235843285
+224.14	13.7727796452695	3.10655319094326	0.824371831116646
+231.64	13.7736794260728	3.10655424062692	0.813931367810537
+228.89	13.7745792071816	3.10655528954115	0.810276615950375
+243.72	13.7754789885955	3.10655633768596	0.808067464401468
+252.84	13.7763787703143	3.10655738506133	0.815888223552894
+253.74	13.7772785523379	3.10655843166728	0.805190860824802
+239.93	13.778178334666	3.10655947750379	0.81333292531787
+238.37	13.7790781172983	3.10656052257087	0.815433171004063
+240.74	13.7799779002347	3.10656156686852	0.84198268576866
+229.38	13.7808776834749	3.10656261039673	0.826322290847838
+226.4	13.7817774670188	3.1065636531555	0.822133239359169
+234.84	13.782677250866	3.10656469514484	0.807661389682209
+243.11	13.7835770350164	3.10656573636473	0.815662618865738
+258.48	13.7844768194697	3.10656677681519	0.80822569908029
+242.82	13.7853766042257	3.1065678164962	0.821101353475822
+227.95	13.7862763892842	3.10656885540777	0.832418019163788
+231.07	13.787176174645	3.10656989354989	0.821949764425136
+245.22	13.7880759603078	3.10657093092257	0.816075807993
+253.44	13.7889757462725	3.1065719675258	0.803129673479561
+246.01	13.7898755325387	3.10657300335958	0.812573303385946
+242.83	13.7907753191063	3.10657403842391	0.810843870947826
+256.22	13.791675105975	3.10657507271879	0.79950907973446
+239.09	13.7925748931446	3.10657610624422	0.804652926003148
+237.2	13.793474680615	3.1065771390002	0.790371053901442
+246.17	13.7943744683858	3.10657817098672	0.801633100805735
+244.43	13.7952742564568	3.10657920220378	0.796722249468694
+238.37	13.7961740448279	3.10658023265139	0.805362470609156
+228.39	13.7970738334988	3.10658126232954	0.818876368331718
+226.96	13.7979736224692	3.10658229123823	0.81727118947951
+234.87	13.798873411739	3.10658331937745	0.811071121195525
+236.1	13.7997732013079	3.10658434674722	0.821008359023449
+242.05	13.8006729911758	3.10658537334752	0.825296361491955
+241.68	13.7115963758425	3.10557553301345	0.829103255063036
+242.49	13.7124961345882	3.10557663469357	0.817455299562479
+234.16	13.7133958936546	3.10557773560459	0.818601041000822
+229.6	13.7142956530414	3.10557883574649	0.822986062248305
+231.59	13.7151954127483	3.10557993511928	0.823259928369029
+231.82	13.7160951727752	3.10558103372295	0.821738435162906
+227.53	13.7169949331219	3.10558213155751	0.80869060211976
+230.12	13.717894693788	3.10558322862294	0.801621258389119
+238.64	13.7187944547734	3.10558432491926	0.80911862559846
+234.76	13.7196942160779	3.10558542044645	0.812116762093719
+239.06	13.7205939777012	3.10558651520452	0.805381162353334
+232.12	13.7214937396431	3.10558760919347	0.816922743994806
+238.57	13.7223935019034	3.10558870241329	0.817649375656436
+233.94	13.7232932644818	3.10558979486398	0.814976941105315
+243.87	13.7241930273782	3.10559088654555	0.805179886371159
+231.26	13.7250927905923	3.10559197745798	0.813551704800805
+240.2	13.7259925541239	3.10559306760129	0.805205762205052
+238.49	13.7268923179728	3.10559415697546	0.806638864940567
+239.8	13.7277920821387	3.1055952455805	0.802972327843683
+235	13.7286918466214	3.1055963334164	0.80057140491077
+248.67	13.7295916114207	3.10559742048317	0.789952145452217
+236.92	13.7304913765364	3.1055985067808	0.79701634405484
+228.77	13.7313911419682	3.10559959230929	0.806413043923332
+231.28	13.7322909077159	3.10560067706864	0.817290020395028
+239.91	13.7331906737794	3.10560176105885	0.814164776965815
+237.48	13.7340904401583	3.10560284427991	0.808418180240857
+239.21	13.7349902068524	3.10560392673183	0.822461624018766
+239.69	13.7358899738616	3.10560500841461	0.813705170719725
+236.99	13.7367897411856	3.10560608932824	0.810128197691282
+242.8	13.7376895088241	3.10560716947272	0.792223099873536
+244.85	13.7385892767771	3.10560824884804	0.807803709264061
+236.94	13.7394890450441	3.10560932745422	0.814325645579247
+243.5	13.740388813625	3.10561040529125	0.80536928147055
+241.56	13.7412885825197	3.10561148235912	0.797070852615482
+242.63	13.7421883517278	3.10561255865784	0.809232194914763
+244.73	13.7430881212491	3.1056136341874	0.797434587439696
+240.88	13.7439878910834	3.1056147089478	0.813568866889949
+235.47	13.7448876612305	3.10561578293905	0.810368767182148
+233.71	13.7457874316902	3.10561685616113	0.80975906689968
+236.12	13.7466872024622	3.10561792861405	0.812232489610586
+235.62	13.7475869735463	3.10561900029781	0.813448523675381
+243.02	13.7484867449424	3.10562007121241	0.799697145816777
+242.33	13.74938651665	3.10562114135784	0.810078365165593
+242.58	13.7502862886692	3.1056222107341	0.817289737289737
+246.82	13.7511860609995	3.1056232793412	0.801677573388911
+250.65	13.7520858336409	3.10562434717912	0.807280920735159
+250.37	13.752985606593	3.10562541424787	0.806461859072439
+243.45	13.7538853798556	3.10562648054745	0.811993268497257
+235.85	13.7547851534286	3.10562754607786	0.808816156840368
+245.79	13.7556849273117	3.10562861083909	0.806277249838041
+251.82	13.7565847015046	3.10562967483115	0.816544971206924
+251.51	13.7574844760072	3.10563073805403	0.808026745475841
+240.93	13.7583842508193	3.10563180050773	0.80398250088787
+230.34	13.7592840259405	3.10563286219225	0.806300080688327
+227.06	13.7601838013707	3.10563392310759	0.813669575115329
+233.55	13.7610835771097	3.10563498325375	0.814849733907853
+230.19	13.7619833531572	3.10563604263072	0.81065715197776
+223.8	13.762883129513	3.1056371012385	0.813985461311116
+235.68	13.7637829061769	3.1056381590771	0.813387275332118
+248.26	13.7646826831486	3.10563921614652	0.798355905234089
+250.28	13.765582460428	3.10564027244674	0.809915661579035
+238.92	13.7664822380148	3.10564132797777	0.798793941505334
+221.72	13.7673820159088	3.10564238273961	0.809360930705854
+229.44	13.7682817941097	3.10564343673226	0.815831911011712
+235.31	13.7691815726174	3.10564448995571	0.812166497113702
+231.44	13.7700813514316	3.10564554240997	0.815608311911564
+237.36	13.7709811305521	3.10564659409503	0.819411111577453
+227.92	13.7718809099787	3.10564764501089	0.827211381593076
+223.04	13.7727806897111	3.10564869515755	0.822571086559783
+223.72	13.7736804697491	3.10564974453501	0.815436255380613
+243.61	13.7745802500925	3.10565079314327	0.802954908465414
+231.7	13.7754800307411	3.10565184098233	0.823584425689831
+246.58	13.7763798116947	3.10565288805218	0.810755736009499
+256.13	13.7772795929529	3.10565393435282	0.803542746830565
+236.35	13.7781793745157	3.10565497988426	0.827356851570508
+236.55	13.7790791563827	3.10565602464649	0.815005154559862
+238.72	13.7799789385538	3.10565706863951	0.832490558341363
+232.3	13.7808787210288	3.10565811186331	0.820929453521678
+237.33	13.7817785038073	3.10565915431791	0.794607448073348
+251.06	13.7826782868892	3.10566019600329	0.77407430612117
+245.52	13.7835780702743	3.10566123691945	0.798691093146777
+249.27	13.7844778539622	3.1056622770664	0.808161557857409
+247.37	13.785377637953	3.10566331644413	0.814265504495049
+237.62	13.7862774222461	3.10566435505265	0.834562679096913
+232.43	13.7871772068416	3.10566539289194	0.83095703300052
+244.42	13.7880769917391	3.10566642996201	0.813603865612409
+244.72	13.7889767769384	3.10566746626285	0.813785604252877
+251.74	13.7898765624393	3.10566850179448	0.816061934521033
+260.03	13.7907763482415	3.10566953655688	0.785988472279993
+267.75	13.7916761343449	3.10567057055005	0.801963929423731
+234.84	13.7925759207492	3.10567160377399	0.802912362989205
+234.33	13.7934757074543	3.10567263622871	0.813127589700728
+232.34	13.7943754944597	3.10567366791419	0.812256981978348
+241.95	13.7952752817654	3.10567469883044	0.804315452863906
+247.19	13.7961750693712	3.10567572897746	0.809206667273887
+225.12	13.7970748572767	3.10567675835525	0.816000913303126
+224.91	13.7979746454818	3.1056777869638	0.81542067326987
+232.1	13.7988744339863	3.10567881480311	0.817032235552033
+239.83	13.7997742227899	3.10567984187318	0.843050229418583
+239.11	13.8006740118924	3.10568086817402	0.81031120347572
+238.93	13.7115974720006	3.10467105855988	0.81927352014384
+241.26	13.7124972299814	3.10467215991854	0.81856914610332
+235.67	13.7133969882828	3.10467326050833	0.819143992204482
+233.39	13.7142967469046	3.10467436032922	0.815258882819437
+224.32	13.7151965058465	3.10467545938122	0.817199538055085
+228.77	13.7160962651085	3.10467655766433	0.810796268990812
+223.27	13.7169960246901	3.10467765517855	0.812717661948762
+229.76	13.7178957845912	3.10467875192387	0.812754399024375
+235.05	13.7187955448117	3.10467984790029	0.800710038020343
+229.83	13.7196953053511	3.10468094310782	0.813814529710775
+235.28	13.7205950662094	3.10468203754645	0.816573473495862
+235.58	13.7214948273863	3.10468313121619	0.812284492667004
+237.91	13.7223945888816	3.10468422411701	0.818951842096464
+241.17	13.7232943506951	3.10468531624894	0.816790241569003
+239.27	13.7241941128265	3.10468640761197	0.811397925595619
+239.67	13.7250938752756	3.10468749820608	0.813619407136024
+235.18	13.7259936380421	3.1046885880313	0.81545382335869
+240.43	13.726893401126	3.1046896770876	0.80219945349789
+229.02	13.7277931645269	3.10469076537499	0.801225151034459
+237.83	13.7286929282446	3.10469185289348	0.805725476921589
+239.85	13.7295926922789	3.10469293964305	0.829447523253827
+235.22	13.7304924566295	3.10469402562371	0.807536461854201
+234.93	13.7313922212963	3.10469511083545	0.814653874284731
+235.54	13.732291986279	3.10469619527828	0.811957084946204
+247.82	13.7331917515774	3.10469727895219	0.79838165879973
+235.6	13.7340915171913	3.10469836185718	0.805449556908133
+238.81	13.7349912831205	3.10469944399325	0.824791024677781
+241.24	13.7358910493646	3.1047005253604	0.804840220754375
+242.68	13.7367908159236	3.10470160595863	0.804181195614614
+245.73	13.7376905827971	3.10470268578793	0.801211988349879
+243.46	13.738590349985	3.10470376484831	0.803302225412778
+242.46	13.739490117487	3.10470484313976	0.798460489917011
+248.28	13.7403898853029	3.10470592066229	0.805559401295245
+245.99	13.7412896534325	3.10470699741588	0.801297472949691
+236.34	13.7421894218756	3.10470807340055	0.810648720057051
+239.66	13.7430891906319	3.10470914861628	0.801878911925509
+237.88	13.7439889597012	3.10471022306308	0.808167775684292
+235.01	13.7448887290832	3.10471129674094	0.801600195443718
+237.53	13.7457884987779	3.10471236964987	0.804237311640918
+240.48	13.7466882687849	3.10471344178986	0.80499010404661
+236.81	13.7475880391039	3.10471451316091	0.811759118165087
+242.7	13.7484878097349	3.10471558376303	0.814814814814815
+247.79	13.7493875806776	3.1047166535962	0.803556243049704
+243.04	13.7502873519317	3.10471772266043	0.811460050120787
+237.82	13.7511871234969	3.10471879095571	0.814731110014876
+249.11	13.7520868953732	3.10471985848205	0.803277663590112
+241	13.7529866675603	3.10472092523944	0.809164701149335
+238.96	13.7538864400579	3.10472199122789	0.806853882929573
+239.89	13.7547862128658	3.10472305644739	0.802773801885396
+249.2	13.7556859859839	3.10472412089793	0.793637846655791
+251.28	13.7565857594118	3.10472518457953	0.810696951975833
+251.12	13.7574855331493	3.10472624749217	0.814652359892699
+235.28	13.7583853071963	3.10472730963585	0.807350386316385
+229.43	13.7592850815525	3.10472837101058	0.807705839517587
+236.07	13.7601848562176	3.10472943161636	0.816911813051869
+244.33	13.7610846311915	3.10473049145317	0.80640262179769
+236.68	13.761984406474	3.10473155052103	0.811166252094839
+239.86	13.7628841820647	3.10473260881992	0.798962452693796
+240.5	13.7637839579635	3.10473366634986	0.798853777626205
+263.6	13.7646837341702	3.10473472311083	0.778110810205453
+257.67	13.7655835106845	3.10473577910283	0.798232145732136
+251.09	13.7664832875063	3.10473683432587	0.801947012486018
+247.97	13.7673830646352	3.10473788877994	0.800127456358298
+235.58	13.7682828420711	3.10473894246504	0.807210333526123
+240.57	13.7691826198137	3.10473999538118	0.803490815454814
+249.13	13.7700823978628	3.10474104752834	0.809756212018114
+226.37	13.7709821762182	3.10474209890653	0.818939919903665
+225.6	13.7718819548797	3.10474314951574	0.815155804573001
+225.73	13.772781733847	3.10474419935598	0.829911322692056
+227.49	13.77368151312	3.10474524842724	0.828258298921579
+231.59	13.7745812926983	3.10474629672953	0.820991948736655
+239.06	13.7754810725818	3.10474734426283	0.821754878769959
+251.08	13.7763808527703	3.10474839102716	0.81359465907979
+250.98	13.7772806332635	3.1047494370225	0.816221813906158
+239.67	13.7781804140612	3.10475048224886	0.823525521376817
+238.8	13.7790801951631	3.10475152670624	0.823053816259224
+233.91	13.7799799765691	3.10475257039463	0.818467031297478
+228.59	13.7808797582789	3.10475361331404	0.833043478260869
+217.81	13.7817795402924	3.10475465546445	0.82124908553071
+235.3	13.7826793226092	3.10475569684588	0.809861954896784
+236.87	13.7835791052292	3.10475673745832	0.822716760814346
+250.52	13.7844788881521	3.10475777730176	0.832771531800658
+249.11	13.7853786713777	3.10475881637621	0.829495014249977
+228.75	13.7862784549058	3.10475985468167	0.8273970281015
+243.34	13.7871782387361	3.10476089221813	0.823197097342282
+246.11	13.7880780228685	3.10476192898559	0.81355230789274
+241.84	13.7889778073027	3.10476296498406	0.80574434372763
+244.55	13.7898775920385	3.10476400021352	0.804077329212543
+250.21	13.7907773770757	3.10476503467399	0.795373556532494
+253.32	13.791677162414	3.10476606836545	0.797107299567669
+247.91	13.7925769480532	3.10476710128791	0.807686103408279
+242.66	13.7934767339931	3.10476813344136	0.820625880109254
+239.86	13.7943765202334	3.10476916482581	0.821646790410188
+238.17	13.7952763067741	3.10477019544125	0.820335094317207
+228.57	13.7961760936147	3.10477122528768	0.814628102878428
+220.74	13.7970758807551	3.10477225436511	0.813557539841098
+228.25	13.7979756681951	3.10477328267352	0.804591083794172
+232.05	13.7988754559345	3.10477431021292	0.820883809897494
+246.58	13.7997752439729	3.1047753369833	0.820483945689747
+237.58	13.8006750323103	3.10477636298467	0.818124885838791
+233.99	13.711598567838	3.10376658409041	0.826241597125637
+237.44	13.712498325054	3.10376768512762	0.817330436166708
+224.34	13.7133980825906	3.10376878539617	0.813653844583616
+229.35	13.7142978404476	3.10376988489605	0.805925549943102
+228.68	13.7151975986248	3.10377098362726	0.810106600821474
+223.48	13.716097357122	3.10377208158981	0.817719271828117
+226.63	13.7169971159388	3.10377317878369	0.814784826035989
+239.29	13.7178968750752	3.1037742752089	0.811827997899815
+234.64	13.7187966345308	3.10377537086544	0.825219011716324
+236.91	13.7196963943055	3.10377646575331	0.815705170335263
+238.36	13.7205961543991	3.1037775598725	0.808155975591606
+229.03	13.7214959148112	3.10377865322301	0.818430394871382
+236.65	13.7223956755417	3.10377974580485	0.80051681222621
+241.49	13.7232954365904	3.10378083761801	0.803682504226969
+242.31	13.724195197957	3.1037819286625	0.806213308940171
+240.6	13.7250949596413	3.1037830189383	0.817651447832657
+241.96	13.7259947216431	3.10378410844542	0.809104738723663
+237.76	13.7268944839621	3.10378519718385	0.795689584528395
+240.37	13.7277942465982	3.1037862851536	0.804373036286811
+243.72	13.7286940095511	3.10378737235467	0.804472121353411
+243.92	13.7295937728206	3.10378845878704	0.809281804765243
+237.24	13.7304935364065	3.10378954445073	0.81171033073207
+236.06	13.7313933003085	3.10379062934573	0.817161540850034
+248.41	13.7322930645264	3.10379171347203	0.804281579128256
+242.52	13.7331928290601	3.10379279682965	0.808671966158181
+235.61	13.7340925939092	3.10379387941857	0.801064255124458
+229.37	13.7349923590735	3.10379496123879	0.821357254531664
+242.47	13.7358921245528	3.10379604229032	0.808873905714752
+240.96	13.736791890347	3.10379712257314	0.820398849387157
+243.77	13.7376916564557	3.10379820208727	0.809158664462396
+239.14	13.7385914228788	3.1037992808327	0.809729217277952
+238.63	13.739491189616	3.10380035880943	0.800256450300425
+238.09	13.7403909566671	3.10380143601745	0.803939170138365
+237.66	13.7412907240319	3.10380251245677	0.804243518428158
+244.38	13.7421904917102	3.10380358812738	0.795060546946888
+244.3	13.7430902597017	3.10380466302928	0.795464568949618
+235.96	13.7439900280061	3.10380573716248	0.812718138137198
+231.01	13.7448897966234	3.10380681052696	0.803333649097806
+239.04	13.7457895655532	3.10380788312273	0.807484949937914
+247.11	13.7466893347954	3.10380895494979	0.805087349999232
+238.1	13.7475891043497	3.10381002600814	0.807473532373513
+238.63	13.7484888742158	3.10381109629777	0.817461199676488
+253.36	13.7493886443936	3.10381216581868	0.808650503609947
+251.36	13.7502884148829	3.10381323457088	0.806452336197135
+244.22	13.7511881856834	3.10381430255435	0.805683105848537
+246.59	13.7520879567949	3.10381536976911	0.797163648391632
+240.43	13.7529877282171	3.10381643621514	0.816826322992015
+238.2	13.7538874999499	3.10381750189245	0.796718107689197
+245.84	13.754787271993	3.10381856680104	0.80145161357563
+239.93	13.7556870443462	3.1038196309409	0.804848597812742
+250.45	13.7565868170092	3.10382069431203	0.798926294164389
+250.28	13.757486589982	3.10382175691443	0.806331555144529
+244.48	13.7583863632641	3.10382281874811	0.807730249104792
+252.61	13.7592861368555	3.10382387981305	0.802660208052092
+242.99	13.7601859107558	3.10382494010926	0.805543857715786
+248.97	13.7610856849648	3.10382599963674	0.809340427713657
+238.98	13.7619854594824	3.10382705839548	0.802185278691661
+246.68	13.7628852343083	3.10382811638548	0.799075084850049
+246.12	13.7637850094423	3.10382917360675	0.801822974809732
+261.89	13.7646847848842	3.10383023005927	0.784030804031802
+246.96	13.7655845606336	3.10383128574306	0.795715289629555
+239.32	13.7664843366905	3.10383234065811	0.80189360507101
+228.46	13.7673841130546	3.10383339480441	0.80895895492299
+239.52	13.7682838897256	3.10383444818197	0.802073352705568
+244.38	13.7691836667034	3.10383550079078	0.802402117120174
+267.45	13.7700834439877	3.10383655263085	0.791029950493082
+249.12	13.7709832215782	3.10383760370216	0.804370275191751
+218.79	13.7718829994749	3.10383865400473	0.811618167616705
+218.66	13.7727827776774	3.10383970353855	0.817272008629384
+232.22	13.7736825561854	3.10384075230361	0.822153830064578
+237.48	13.7745823349989	3.10384180029993	0.825754866868431
+238.3	13.7754821141176	3.10384284752748	0.822358118236972
+257.23	13.7763818935412	3.10384389398628	0.809645229557345
+259.29	13.7772816732695	3.10384493967633	0.809160869661642
+241.52	13.7781814533023	3.10384598459761	0.810472200615176
+239.95	13.7790812336394	3.10384702875014	0.805984407509654
+224.06	13.7799810142806	3.1038480721339	0.811358958202058
+227.51	13.7808807952255	3.10384911474891	0.835635571322821
+223.95	13.7817805764741	3.10385015659514	0.823556930624953
+232.35	13.7826803580261	3.10385119767262	0.835402979284383
+245.79	13.7835801398812	3.10385223798133	0.836114333110853
+248.27	13.7844799220392	3.10385327752127	0.821092380797514
+240.01	13.7853797044999	3.10385431629244	0.821718525862004
+230.1	13.7862794872632	3.10385535429484	0.824920408223988
+237.76	13.7871792703286	3.10385639152847	0.818347379637702
+243.98	13.7880790536962	3.10385742799332	0.830815269465236
+247.98	13.7889788373655	3.10385846368941	0.824762665408143
+243.09	13.7898786213364	3.10385949861672	0.805733397423728
+251.19	13.7907784056087	3.10386053277525	0.791611372835246
+252.91	13.7916781901821	3.103861566165	0.788663876004073
+240.89	13.7925779750564	3.10386259878598	0.795639521178795
+237.24	13.7934777602314	3.10386363063817	0.809872789301421
+239.83	13.7943775457069	3.10386466172158	0.803907784554947
+236.04	13.7952773314826	3.10386569203621	0.803508887453032
+228.51	13.7961771175584	3.10386672158206	0.806693815220158
+226.11	13.7970769039339	3.10386775035912	0.814657105359516
+232.93	13.7979766906091	3.10386877836739	0.812079398074053
+237.44	13.7988764775835	3.10386980560688	0.841903245202073
+238.72	13.7997762648571	3.10387083207758	0.815086993918725
+238.32	13.8006760524296	3.10387185777948	0.812235119295825
+236.37	13.7115996633545	3.10286210960506	0.820174489869493
+234.03	13.7124994198059	3.10286321032081	0.807113629708189
+232.43	13.713399176578	3.10286431026812	0.815392025855372
+230.58	13.7142989336705	3.10286540944699	0.812809584601787
+230.19	13.7151986910831	3.10286650785742	0.810150713722059
+227.04	13.7160984488157	3.10286760549941	0.819726591890359
+232.96	13.7169982068681	3.10286870237295	0.817935050459863
+238.41	13.7178979652399	3.10286979847805	0.806076331411061
+239.43	13.718797723931	3.1028708938147	0.815292822973671
+236.64	13.7196974829411	3.1028719883829	0.817059558889186
+235.69	13.7205972422701	3.10287308218266	0.810842702536403
+229.34	13.7214970019177	3.10287417521396	0.811552645622755
+234.21	13.7223967618836	3.10287526747681	0.807060844299434
+242.72	13.7232965221677	3.1028763589712	0.802996998274599
+249.81	13.7241962827698	3.10287744969714	0.801862373737374
+248.45	13.7250960436895	3.10287853965463	0.805099582912654
+240.49	13.7259958049268	3.10287962884366	0.795722010815141
+238.04	13.7268955664813	3.10288071726422	0.80295398672061
+246.71	13.7277953283528	3.10288180491633	0.817935219711925
+246.53	13.7286950905411	3.10288289179998	0.799346240885089
+243.55	13.7295948530461	3.10288397791516	0.797033422470694
+231.77	13.7304946158674	3.10288506326188	0.8105640588226
+239	13.7313943790048	3.10288614784013	0.812928717946729
+238.64	13.7322941424582	3.10288723164991	0.796119705701921
+242.31	13.7331939062272	3.10288831469123	0.791826472342964
+243.66	13.7340936703117	3.10288939696408	0.818706718426012
+240.25	13.7349934347115	3.10289047846845	0.833455241480671
+249.13	13.7358931994263	3.10289155920435	0.817081035644669
+252.09	13.7367929644559	3.10289263917178	0.810234502213574
+242.34	13.7376927298	3.10289371837074	0.811563905694052
+242.02	13.7385924954585	3.10289479680121	0.796201318388983
+236.24	13.7394922614311	3.10289587446322	0.805935144938866
+232.79	13.7403920277177	3.10289695135674	0.793014020585136
+231.22	13.7412917943179	3.10289802748178	0.805353463749912
+236.53	13.7421915612315	3.10289910283833	0.810316389856855
+243.62	13.7430913284584	3.10290017742641	0.80565715390473
+232.93	13.7439910959983	3.102901251246	0.808254385218156
+224.45	13.744890863851	3.10290232429711	0.813645407249045
+233.08	13.7457906320162	3.10290339657972	0.818178305058546
+240.75	13.7466904004938	3.10290446809385	0.809099234261442
+231.9	13.7475901692835	3.10290553883949	0.813937339320337
+241.15	13.7484899383851	3.10290660881664	0.813550033663707
+242.43	13.7493897077983	3.1029076780253	0.804417763656829
+241.64	13.750289477523	3.10290874646546	0.807069893746349
+242.75	13.7511892475588	3.10290981413713	0.800887680943469
+245.74	13.7520890179057	3.1029108810403	0.79275128998968
+244.51	13.7529887885633	3.10291194717498	0.806594126481961
+247.85	13.7538885595315	3.10291301254115	0.811544881764015
+249.99	13.75478833081	3.10291407713883	0.796839524486474
+247.45	13.7556881023986	3.102915140968	0.809187853818334
+255.02	13.7565878742971	3.10291620402867	0.799446619189108
+247.8	13.7574876465052	3.10291726632084	0.794065855292889
+245.7	13.7583874190227	3.1029183278445	0.80056197920031
+249.06	13.7592871918495	3.10291938859965	0.806234963127826
+241.54	13.7601869649852	3.1029204485863	0.806492464525061
+243.79	13.7610867384296	3.10292150780444	0.818736085717611
+242.79	13.7619865121826	3.10292256625406	0.807737740150046
+233.15	13.7628862862439	3.10292362393518	0.81120712549284
+243.5	13.7637860606133	3.10292468084778	0.792619296081966
+242.86	13.7646858352905	3.10292573699186	0.794081227301814
+255.88	13.7655856102754	3.10292679236743	0.800213325859143
+254.3	13.7664853855676	3.10292784697448	0.798285561210822
+249.27	13.7673851611671	3.10292890081302	0.792456082745034
+247.82	13.7682849370735	3.10292995388303	0.802246035674137
+254.72	13.7691847132866	3.10293100618453	0.796454815817218
+262.39	13.7700844898063	3.1029320577175	0.798267157866012
+251.59	13.7709842666322	3.10293310848194	0.797937184955409
+238.72	13.7718840437642	3.10293415847787	0.811350875690156
+227.85	13.7727838212021	3.10293520770526	0.822987923317287
+245.12	13.7736835989455	3.10293625616413	0.814263206848769
+246.98	13.7745833769944	3.10293730385447	0.819108280254777
+247.09	13.7754831553484	3.10293835077628	0.81995825442477
+258.7	13.7763829340074	3.10293939692956	0.813530306640518
+244.58	13.7772827129711	3.1029404423143	0.810519291057516
+238.3	13.7781824922392	3.10294148693051	0.812806865044871
+239.38	13.7790822718117	3.10294253077819	0.813915977387218
+233.46	13.7799820516882	3.10294357385732	0.80485025492116
+231.06	13.7808818318685	3.10294461616792	0.830887029437368
+235.86	13.7817816123525	3.10294565770999	0.841095668272512
+236.64	13.7826813931398	3.10294669848351	0.831310332656843
+237.07	13.7835811742302	3.10294773848849	0.814423988919887
+242.7	13.7844809556236	3.10294877772492	0.819129204766063
+245.87	13.7853807373197	3.10294981619281	0.81773768565294
+240.2	13.7862805193183	3.10295085389216	0.821844353226284
+235.79	13.7871803016191	3.10295189082296	0.811553462595004
+239.94	13.788080084222	3.10295292698521	0.814401050720439
+244.36	13.7889798671267	3.10295396237891	0.831741707159509
+238.82	13.7898796503329	3.10295499700406	0.808962683790822
+246.13	13.7907794338405	3.10295603086066	0.805332167832168
+241.75	13.7916792176493	3.10295706394871	0.799953801894122
+242.37	13.792579001759	3.1029580962682	0.801610428825377
+242.51	13.7934787861693	3.10295912781913	0.806792285031405
+237.02	13.7943785708802	3.10296015860151	0.809257816756737
+239.23	13.7952783558912	3.10296118861533	0.79749375927815
+235.49	13.7961781412023	3.10296221786059	0.807520343749222
+236.24	13.7970779268132	3.10296324633729	0.830300315035664
+234.03	13.7979777127236	3.10296427404543	0.824168758243003
+233.76	13.7988774989334	3.102965300985	0.822692812363318
+234.05	13.7997772854423	3.10296632715601	0.816215428733543
+245.9	13.8006770722502	3.10296735255845	0.794005140763828
+229.51	13.7116007585501	3.10195763510381	0.819552814186584
+229.23	13.7125005142373	3.10195873549811	0.808602364160127
+234.1	13.713400270245	3.10195983512419	0.8055861815509
+229.45	13.7143000265732	3.10196093398205	0.815619104281319
+235.86	13.7151997832215	3.1019620320717	0.794895040655951
+241.95	13.7160995401898	3.10196312939312	0.799570046299716
+236.75	13.7169992974778	3.10196422594633	0.811976206625036
+238.63	13.7178990550853	3.10196532173132	0.813328034909614
+238.84	13.718798813012	3.10196641674808	0.808188828767415
+231.1	13.7196985712579	3.10196751099662	0.799667525838112
+233.77	13.7205983298225	3.10196860447694	0.813199192652512
+225.49	13.7214980887058	3.10196969718902	0.817613269160522
+230.68	13.7223978479074	3.10197078913288	0.820849300678896
+234.93	13.7232976074272	3.10197188030851	0.811857701279869
+238.76	13.7241973672649	3.10197297071592	0.807189478659287
+244.87	13.7250971274203	3.10197406035508	0.800259045939317
+240.15	13.7259968878932	3.10197514922602	0.801161410478272
+243.54	13.7268966486833	3.10197623732872	0.811657791026113
+245.41	13.7277964097905	3.10197732466318	0.813504610118336
+240.24	13.7286961712145	3.10197841122941	0.787739325688624
+229.95	13.7295959329551	3.1019794970274	0.813507163369117
+229.05	13.7304956950121	3.10198058205715	0.815326105554605
+237.44	13.7313954573852	3.10198166631865	0.803107622787055
+235.47	13.7322952200742	3.10198274981192	0.801454762284001
+242.43	13.7331949830789	3.10198383253694	0.814822795155658
+236.9	13.7340947463991	3.10198491449371	0.822166133785638
+248.8	13.7349945100345	3.10198599568224	0.813177222398911
+241.24	13.7358942739849	3.10198707610252	0.802064166405036
+248.2	13.7367940382501	3.10198815575455	0.807562358609748
+238.55	13.7376938028299	3.10198923463833	0.822787271273953
+243.82	13.7385935677241	3.10199031275386	0.808625638925485
+244.34	13.7394933329324	3.10199139010113	0.802670847492698
+241.81	13.7403930984545	3.10199246668016	0.794212758808954
+241.85	13.7412928642904	3.10199354249092	0.805674898413031
+235	13.7421926304397	3.10199461753343	0.810447205772902
+234.77	13.7430923969022	3.10199569180767	0.804407284876675
+232.28	13.7439921636777	3.10199676531366	0.802205605738464
+225.33	13.7448919307661	3.10199783805139	0.811334818512253
+236.29	13.7457916981669	3.10199891002085	0.809198911211098
+236.64	13.7466914658801	3.10199998122205	0.817410658043926
+239.6	13.7475912339054	3.10200105165499	0.820686087726264
+233.72	13.7484910022426	3.10200212131965	0.817821091585453
+237.9	13.7493907708915	3.10200319021606	0.814020085041929
+243.16	13.7502905398518	3.10200425834419	0.805204952284698
+247.3	13.7511903091233	3.10200532570405	0.800886600438996
+241.29	13.7520900787058	3.10200639229564	0.804476795052594
+247.29	13.752989848599	3.10200745811895	0.801987580627703
+244.36	13.7538896188028	3.10200852317399	0.808336313179211
+246.32	13.754789389317	3.10200958746076	0.812770749307686
+243.78	13.7556891601412	3.10201065097924	0.800003271127394
+247.35	13.7565889312753	3.10201171372945	0.807154764413957
+236.68	13.757488702719	3.10201277571138	0.801128863767036
+256.03	13.7583884744721	3.10201383692503	0.785839877159065
+249.54	13.7592882465345	3.1020148973704	0.797826842212452
+236.89	13.7601880189058	3.10201595704748	0.800128001321304
+238.14	13.7610877915859	3.10201701595628	0.806564912678245
+246.36	13.7619875645745	3.10201807409679	0.801129080863888
+235.75	13.7628873378714	3.10201913146902	0.804304013526671
+243.32	13.7637871114764	3.10202018807295	0.792461923239911
+252.08	13.7646868853892	3.10202124390859	0.795697963561898
+265.34	13.7655866596097	3.10202229897595	0.78574399605862
+255.67	13.7664864341375	3.10202335327501	0.787325413388987
+242.82	13.7673862089726	3.10202440680577	0.799265831509935
+247.49	13.7682859841146	3.10202545956825	0.794605652844461
+261.33	13.7691857595633	3.10202651156242	0.79008395399228
+258.85	13.7700855353186	3.1020275627883	0.804281391209603
+256.43	13.7709853113801	3.10202861324587	0.799521431543903
+237.65	13.7718850877477	3.10202966293515	0.816245628266842
+240.13	13.7727848644212	3.10203071185612	0.817855002995806
+249.73	13.7736846414002	3.1020317600088	0.807743953612573
+242.78	13.7745844186847	3.10203280739316	0.820341125370332
+249.34	13.7754841962743	3.10203385400922	0.815856436468693
+252.49	13.7763839741688	3.10203489985698	0.80053243659801
+242.26	13.7772837523681	3.10203594493642	0.8153103104238
+236.67	13.7781835308719	3.10203698924756	0.813985118809505
+241.94	13.7790833096799	3.10203803279039	0.818831270323537
+232.68	13.779983088792	3.1020390755649	0.811055625085191
+230.15	13.7808828682079	3.1020401175711	0.816929163698101
+237.91	13.7817826479274	3.10204115880898	0.821210861998635
+238.16	13.7826824279503	3.10204219927855	0.811402972114227
+238.23	13.7835822082764	3.1020432389798	0.807469463503782
+238.72	13.7844819889053	3.10204427791274	0.821960909893171
+240.28	13.785381769837	3.10204531607735	0.822697745510126
+232.28	13.7862815510712	3.10204635347364	0.817912938847594
+232.41	13.7871813326076	3.10204739010161	0.813516231545919
+232.47	13.788081114446	3.10204842596126	0.816746739876459
+242.38	13.7889808965862	3.10204946105258	0.832555522340818
+243.81	13.7898806790281	3.10205049537557	0.807530979985233
+241.83	13.7907804617713	3.10205152893024	0.805450073782587
+236.86	13.7916802448156	3.10205256171657	0.799252046876171
+228.91	13.7925800281608	3.10205359373458	0.816203278950098
+233.85	13.7934798118068	3.10205462498426	0.805788889851092
+233.79	13.7943795957531	3.1020556554656	0.805540856420235
+239.92	13.7952793799998	3.10205668517861	0.798980411894112
+241.8	13.7961791645464	3.10205771412329	0.813289026462734
+239.48	13.7970789493929	3.10205874229962	0.831428415181013
+230.14	13.7979787345389	3.10205976970762	0.808503278353433
+243.49	13.7988785199842	3.10206079634729	0.80011031019989
+232.8	13.7997783057287	3.10206182221861	0.812685508576605
+238.72	13.8006780917721	3.10206284732159	0.811624125839879
+225.51	13.7116018534249	3.10105316058669	0.824679605656775
+226.5	13.712501608348	3.10105426065953	0.816267212654061
+233.46	13.7134013635916	3.10105535996438	0.812906684195905
+230.25	13.7143011191557	3.10105645850123	0.814563559861314
+236.44	13.7152008750399	3.10105755627009	0.799934236380114
+234.81	13.7161006312441	3.10105865327096	0.802079563822344
+244.94	13.717000387768	3.10105974950383	0.808156325866972
+240.51	13.7179001446114	3.10106084496871	0.81141407207091
+237.67	13.7187999017741	3.10106193966558	0.80280289366606
+235.22	13.7196996592558	3.10106303359446	0.808705358013995
+233.56	13.7205994170563	3.10106412675534	0.809514034997691
+235	13.7214991751755	3.10106521914821	0.806444837586538
+235.75	13.722398933613	3.10106631077309	0.802108443681273
+231.93	13.7232986923687	3.10106740162995	0.808331510157117
+234.66	13.7241984514423	3.10106849171881	0.817516313372678
+239.41	13.7250982108336	3.10106958103966	0.814286486611729
+235.34	13.7259979705423	3.10107066959251	0.809041306297069
+242.1	13.7268977305684	3.10107175737734	0.812818921006011
+241.5	13.7277974909115	3.10107284439416	0.816748247122635
+239.43	13.7286972515714	3.10107393064297	0.797091455380561
+234.07	13.7295970125478	3.10107501612377	0.811168635173251
+247	13.7304967738407	3.10107610083655	0.811367309516756
+244.38	13.7313965354496	3.10107718478131	0.797698461637023
+245.27	13.7322962973745	3.10107826795805	0.811677610163501
+243.81	13.7331960596151	3.10107935036678	0.812200854141991
+239.63	13.7340958221712	3.10108043200748	0.822034296113613
+244.68	13.7349955850424	3.10108151288016	0.816334473798342
+234.04	13.7358953482287	3.10108259298482	0.809319031248355
+239.95	13.7367951117298	3.10108367232145	0.809655418702958
+242.59	13.7376948755455	3.10108475089006	0.81842139939386
+239.04	13.7385946396755	3.10108582869064	0.822844143706848
+245.28	13.7394944041197	3.10108690572319	0.793244364455929
+244.38	13.7403941688777	3.10108798198771	0.811066399898088
+239.38	13.7412939339494	3.1010890574842	0.795827711468604
+238.77	13.7421936993346	3.10109013221265	0.808565549607799
+241.51	13.743093465033	3.10109120617307	0.804067905188982
+233	13.7439932310444	3.10109227936546	0.80586843427386
+240.46	13.7448929973685	3.10109335178981	0.797412768563245
+243.25	13.7457927640053	3.10109442344612	0.801681523666343
+239.19	13.7466925309543	3.10109549433439	0.801892204151215
+235.7	13.7475922982155	3.10109656445462	0.810997976346807
+238.21	13.7484920657885	3.10109763380681	0.812268306939121
+235.17	13.7493918336733	3.10109870239095	0.81388153813536
+241.41	13.7502916018694	3.10109977020705	0.802598877495597
+241.2	13.7511913703768	3.1011008372551	0.805427599421265
+241.69	13.7520911391951	3.10110190353511	0.80761363458926
+245.86	13.7529909083242	3.10110296904707	0.788911078149471
+249.09	13.7538906777639	3.10110403379097	0.801223253634119
+239.28	13.7547904475138	3.10110509776683	0.816189706196418
+239.58	13.7556902175739	3.10110616097463	0.812504623339005
+236.04	13.7565899879438	3.10110722341438	0.806889835467226
+231.49	13.7574897586234	3.10110828508607	0.804403937114841
+251.67	13.7583895296124	3.10110934598971	0.796811434854316
+237.11	13.7592893009106	3.10111040612529	0.801588856415198
+234.18	13.7601890725177	3.10111146549281	0.794779136763368
+240.62	13.7610888444336	3.10111252409227	0.808391326512466
+241.42	13.761988616658	3.10111358192367	0.798885068378912
+241.74	13.7628883891908	3.101114638987	0.807337079377382
+252.65	13.7637881620316	3.10111569528227	0.795630184098725
+246.39	13.7646879351803	3.10111675080948	0.797367797980128
+247.3	13.7655877086365	3.10111780556861	0.793692952115258
+239.12	13.7664874824002	3.10111885955968	0.811508478175145
+234.11	13.7673872564711	3.10111991278268	0.811851968752466
+251.06	13.768287030849	3.10112096523761	0.796811184417216
+256.37	13.7691868055335	3.10112201692447	0.792043992043992
+257.9	13.7700865805246	3.10112306784325	0.795366539926914
+249.03	13.770986355822	3.10112411799396	0.793106147788033
+245.74	13.7718861314254	3.10112516737659	0.806680925529846
+242.24	13.7727859073346	3.10112621599114	0.808441891281319
+244.86	13.7736856835495	3.10112726383762	0.788868700791513
+236.29	13.7745854600698	3.10112831091601	0.813891681399568
+242.67	13.7754852368952	3.10112935722633	0.812519701384671
+234.66	13.7763850140256	3.10113040276856	0.804840089003814
+237.72	13.7772847914607	3.1011314475427	0.81094899812048
+229.68	13.7781845692002	3.10113249154877	0.80873168835251
+241.19	13.7790843472441	3.10113353478674	0.813169231729779
+235.05	13.779984125592	3.10113457725663	0.820324789312501
+232.4	13.7808839042437	3.10113561895843	0.822148609286653
+242.57	13.781783683199	3.10113665989214	0.80610643804594
+240.37	13.7826834624577	3.10113770005776	0.813568784273355
+235.15	13.7835832420196	3.10113873945528	0.809822157754239
+240.76	13.7844830218843	3.10113977808471	0.816084116982361
+238.72	13.7853828020518	3.10114081594604	0.819455432981534
+226.34	13.7862825825218	3.10114185303928	0.817271799125802
+228	13.787182363294	3.10114288936442	0.821368551225545
+229.69	13.7880821443682	3.10114392492146	0.808143263554291
+233.96	13.7889819257442	3.1011449597104	0.816487032939041
+246.06	13.7898817074219	3.10114599373124	0.844626013234747
+243.87	13.7907814894009	3.10114702698397	0.833609195245392
+244.07	13.791681271681	3.10114805946861	0.82297727381184
+233.67	13.792581054262	3.10114909118513	0.824987182966917
+235.94	13.7934808371437	3.10115012213355	0.822012372329308
+231.8	13.7943806203259	3.10115115231386	0.830957338507433
+239.9	13.7952804038083	3.10115218172606	0.836353584372505
+241.73	13.7961801875907	3.10115321037015	0.828853450051134
+230.29	13.797079971673	3.10115423824613	0.827956203579557
+230.14	13.7979797560548	3.10115526535399	0.812423921307549
+231.75	13.7988795407359	3.10115629169374	0.809136769101622
+235.95	13.7997793257161	3.10115731726537	0.817933645286206
+240.87	13.8006791109953	3.10115834206889	0.817939084881784
+236.15	13.7116029479789	3.1001486860537	0.837356133517554
+235.68	13.7125027021381	3.10014978580508	0.823944595888897
+229.64	13.7134024566179	3.10015088478869	0.812700443938891
+222.77	13.7143022114181	3.10015198300454	0.81252530209164
+220.85	13.7152019665384	3.10015308045261	0.801079374777252
+242.24	13.7161017219787	3.10015417713292	0.797373695540908
+245.91	13.7170014777387	3.10015527304546	0.803638713264436
+238.96	13.7179012338183	3.10015636819023	0.814966433185433
+235.12	13.718800990217	3.10015746256722	0.813227090437764
+243.42	13.7197007469349	3.10015855617643	0.807229098640747
+234.05	13.7206005039715	3.10015964901787	0.813477737665463
+234.34	13.7215002613268	3.10016074109153	0.818306073869308
+235.64	13.7224000190004	3.10016183239742	0.811724010130335
+237.55	13.7232997769922	3.10016292293552	0.806245589695136
+232.36	13.7241995353019	3.10016401270584	0.802571050219008
+240.06	13.7250992939294	3.10016510170838	0.813964273902614
+238.12	13.7259990528743	3.10016618994313	0.808851013529703
+239.07	13.7268988121364	3.1001672774101	0.817559742733737
+236.06	13.7277985717156	3.10016836410928	0.819756123326744
+233.31	13.7286983316116	3.10016945004067	0.807618119345895
+235.87	13.7295980918242	3.10017053520427	0.807737587788739
+237.58	13.7304978523531	3.10017161960008	0.813231373487096
+247.05	13.7313976131982	3.1001727032281	0.80639982177906
+238.68	13.7322973743592	3.10017378608833	0.810477211712311
+250.79	13.7331971358359	3.10017486818076	0.809991851887037
+241.5	13.734096897628	3.10017594950539	0.805963015201379
+239.54	13.7349966597354	3.10017703006222	0.811697889962532
+236.72	13.7358964221578	3.10017810985126	0.803437367774173
+237.33	13.736796184895	3.10017918887249	0.813728125071989
+241.96	13.7376959479467	3.10018026712593	0.811770382181211
+240.63	13.7385957113129	3.10018134461156	0.810942022579021
+239.52	13.7394954749931	3.10018242132938	0.8306441312955
+239.1	13.7403952389872	3.1001834972794	0.804616481613528
+238.68	13.741295003295	3.10018457246162	0.813652831089431
+238.3	13.7421947679163	3.10018564687602	0.811449707149616
+240.7	13.7430945328507	3.10018672052262	0.811176191714203
+236.39	13.7439942980982	3.1001877934014	0.810315023003352
+231.02	13.7448940636585	3.10018886551237	0.805934215958373
+227.99	13.7457938295313	3.10018993685553	0.817944010652631
+231.03	13.7466935957164	3.10019100743087	0.807163967176846
+224.74	13.7475933622137	3.10019207723839	0.824299331341585
+231.33	13.7484931290228	3.1001931462781	0.820166621004742
+235.19	13.7493928961436	3.10019421454999	0.820946900020608
+244.47	13.7502926635758	3.10019528205406	0.809577539316312
+241.73	13.7511924313192	3.10019634879031	0.808310389715115
+242.19	13.7520921993737	3.10019741475873	0.806788842101101
+243.87	13.7529919677388	3.10019847995933	0.810381679389313
+240.41	13.7538917364146	3.1001995443921	0.817450871485625
+249.74	13.7547915054006	3.10020060805705	0.806666896797726
+245.39	13.7556912746967	3.10020167095417	0.801287684915967
+239.68	13.7565910443027	3.10020273308346	0.798008860823955
+239.17	13.7574908142183	3.10020379444492	0.809666789849717
+235	13.7583905844434	3.10020485503854	0.797099787929157
+231.74	13.7592903549776	3.10020591486433	0.793976027046409
+242.69	13.7601901258209	3.10020697392229	0.8025020368072
+239.56	13.7610898969728	3.10020803221241	0.804195748856496
+240.59	13.7619896684333	3.1002090897347	0.803880972678927
+239.93	13.7628894402021	3.10021014648914	0.800132455234655
+249.2	13.763789212279	3.10021120247575	0.801087431043378
+237.85	13.7646889846637	3.10021225769451	0.799611605364493
+243.28	13.765588757356	3.10021331214543	0.804165676724479
+259.88	13.7664885303558	3.10021436582851	0.791319188863454
+253.93	13.7673883036627	3.10021541874374	0.789553501122809
+253.27	13.7682880772766	3.10021647089113	0.7847632379245
+238.82	13.7691878511972	3.10021752227067	0.790805782923078
+249.17	13.7700876254243	3.10021857288236	0.796272018687579
+257.8	13.7709873999577	3.1002196227262	0.789100533726508
+252.01	13.7718871747972	3.10022067180218	0.800775244829442
+259.86	13.7727869499425	3.10022172011032	0.779903686617296
+250.52	13.7736867253934	3.1002227676506	0.789623399406489
+250.1	13.7745865011497	3.10022381442302	0.795776063825509
+245.42	13.7754862772112	3.10022486042759	0.803774227374563
+233.9	13.7763860535776	3.1002259056643	0.816038141388878
+226	13.7772858302487	3.10022695013315	0.815690584517912
+227.57	13.7781856072243	3.10022799383413	0.816863694858084
+242.67	13.7790853845042	3.10022903676726	0.807797328288268
+241.18	13.7799851620882	3.10023007893253	0.814742512506646
+227.03	13.7808849399759	3.10023112032992	0.827872245933353
+239.57	13.7817847181673	3.10023216095946	0.820225490233459
+236.53	13.782684496662	3.10023320082112	0.809344403916299
+238.36	13.7835842754599	3.10023423991492	0.808414427969358
+242.93	13.7844840545607	3.10023527824085	0.815163199083795
+239.72	13.7853838339641	3.10023631579891	0.824501454130809
+230.34	13.7862836136701	3.10023735258909	0.815198082616664
+231.42	13.7871833936783	3.1002383886114	0.820112542399467
+237.27	13.7880831739886	3.10023942386584	0.817812631836265
+240.58	13.7889829546007	3.1002404583524	0.813648293963255
+243.52	13.7898827355143	3.10024149207108	0.83314245501711
+239.28	13.7907825167293	3.10024252502188	0.81036287508723
+237	13.7916822982454	3.10024355720481	0.820772467332365
+237.12	13.7925820800625	3.10024458861985	0.821255321820319
+240.99	13.7934818621802	3.10024561926701	0.808719320836771
+229.78	13.7943816445984	3.10024664914629	0.825380801092669
+227.51	13.7952814273168	3.10024767825768	0.818926796081979
+229.67	13.7961812103353	3.10024870660118	0.816450114182219
+234.92	13.7970809936535	3.1002497341768	0.816048806966308
+233.05	13.7979807772713	3.10025076098453	0.809631184314215
+239.85	13.7988805611884	3.10025178702437	0.805141677917381
+243.76	13.7997803454047	3.10025281229631	0.807315196976146
+247.31	13.8006801299199	3.10025383680037	0.809972989661822
+229.37	13.711604042212	3.09924421150483	0.817433255232308
+235.12	13.7125037956075	3.09924531093475	0.811228737956465
+227.96	13.7134035493237	3.09924640959713	0.815014402692818
+226.51	13.7143033033602	3.09924750749197	0.811446359178857
+227	13.715203057717	3.09924860461927	0.812198818124233
+236.49	13.7161028123936	3.09924970097902	0.813367748223103
+237.92	13.71700256739	3.09925079657122	0.820526682168935
+237.36	13.7179023227058	3.09925189139588	0.829504124266966
+230.53	13.718802078341	3.09925298545298	0.823365195072987
+237.37	13.7197018342952	3.09925407874254	0.809279520064607
+239.55	13.7206015905682	3.09925517126454	0.811140858714141
+225.8	13.7215013471598	3.09925626301899	0.803986163729204
+230.55	13.7224011040697	3.09925735400588	0.81731878695282
+236.07	13.7233008612979	3.09925844422522	0.803511758006583
+236.71	13.7242006188439	3.09925953367701	0.795607459472094
+237.29	13.7251003767077	3.09926062236123	0.804068645061448
+243.7	13.7260001348889	3.09926171027789	0.804156181378128
+235.44	13.7268998933874	3.09926279742699	0.81088205529984
+240.53	13.7277996522029	3.09926388380853	0.814301354076635
+235.38	13.7286994113352	3.09926496942251	0.806607145020413
+234.88	13.7295991707841	3.09926605426892	0.814030122700576
+231.43	13.7304989305494	3.09926713834776	0.80604584265179
+233.84	13.7313986906308	3.09926822165904	0.803758328348357
+232.52	13.7322984510281	3.09926930420274	0.797829237275604
+242.94	13.7331982117411	3.09927038597888	0.81518509732154
+243.33	13.7340979727696	3.09927146698744	0.812392400155099
+240.5	13.7349977341133	3.09927254722843	0.809144231063739
+242.52	13.735897495772	3.09927362670184	0.795068786850098
+239.17	13.7367972577455	3.09927470540768	0.808316612892707
+235.2	13.7376970200336	3.09927578334594	0.802268082020176
+234.79	13.7385967826361	3.09927686051662	0.808085217147548
+245.18	13.7394965455526	3.09927793691972	0.821050787715429
+242.4	13.740396308783	3.09927901255525	0.827251003902494
+244.12	13.7412960723272	3.09928008742318	0.811623110736436
+238.73	13.7421958361847	3.09928116152354	0.81769583081749
+239.78	13.7430956003555	3.09928223485631	0.816735870554319
+233.87	13.7439953648393	3.09928330742149	0.803601146160487
+237	13.7448951296359	3.09928437921908	0.805827653320305
+236.58	13.745794894745	3.09928545024908	0.805087571972147
+238.8	13.7466946601664	3.0992865205115	0.805307484506595
+232.62	13.7475944259	3.09928759000632	0.805493091498082
+230.42	13.7484941919454	3.09928865873355	0.814768113280692
+235.36	13.7493939583025	3.09928972669318	0.816064913574832
+241.91	13.750293724971	3.09929079388522	0.809860836546554
+240.23	13.7511934919507	3.09929186030966	0.815003506932937
+242.82	13.7520932592414	3.0992929259665	0.812942556587627
+239.57	13.7529930268429	3.09929399085575	0.819421129124934
+244.32	13.7538927947549	3.09929505497739	0.813755396127916
+244.76	13.7547925629773	3.09929611833142	0.799569446077378
+245.49	13.7556923315097	3.09929718091786	0.802691595186575
+249.07	13.756592100352	3.09929824273669	0.797951515382708
+228.66	13.7574918695039	3.09929930378791	0.814896905363797
+230.09	13.7583916389652	3.09930036407153	0.817359601766809
+236.54	13.7592914087358	3.09930142358753	0.799959100204499
+234.99	13.7601911788153	3.09930248233593	0.812864325480149
+238.31	13.7610909492035	3.09930354031671	0.804830111788088
+244	13.7619907199003	3.09930459752989	0.794014596745442
+236.76	13.7628904909054	3.09930565397544	0.804900843587831
+235.04	13.7637902622185	3.09930670965338	0.807039149865107
+238.02	13.7646900338395	3.09930776456371	0.798893826840108
+250.69	13.7655898057681	3.09930881870641	0.783495822883622
+249.17	13.7664895780041	3.0993098720815	0.799784339221718
+243.99	13.7673893505473	3.09931092468897	0.794206976455497
+242.47	13.7682891233975	3.09931197652881	0.797272461128098
+243.33	13.7691888965544	3.09931302760103	0.795116962386974
+240.18	13.7700886700178	3.09931407790563	0.796430223780651
+243.12	13.7709884437875	3.0993151274426	0.805641721968292
+240.45	13.7718882178632	3.09931617621194	0.797464868586239
+256.55	13.7727879922448	3.09931722421366	0.780868734533207
+254.15	13.7736877669319	3.09931827144774	0.786780077557729
+252.78	13.7745875419245	3.09931931791419	0.802689647982764
+239.63	13.7754873172222	3.09932036361301	0.811605698643773
+238.5	13.7763870928249	3.0993214085442	0.813861538757972
+227.94	13.7772868687323	3.09932245270775	0.828794763908368
+243.8	13.7781866449442	3.09932349610367	0.804845022574584
+247.94	13.7790864214603	3.09932453873195	0.797192541378588
+236.86	13.7799861982805	3.09932558059259	0.806129592349282
+233.12	13.7808859754045	3.09932662168559	0.82729585519058
+242.29	13.7817857528321	3.09932766201094	0.821874791207323
+230.42	13.7826855305631	3.09932870156866	0.820106401774672
+231.84	13.7835853085972	3.09932974035873	0.8102428692114
+235.13	13.7844850869343	3.09933077838116	0.812748876300967
+239.1	13.785384865574	3.09933181563594	0.819842769352722
+240.14	13.7862846445162	3.09933285212307	0.818893315758619
+230.72	13.7871844237607	3.09933388784255	0.819758735276569
+231.57	13.7880842033072	3.09933492279438	0.825129483686213
+243.9	13.7889839831555	3.09933595697856	0.806050490628424
+245.04	13.7898837633054	3.09933699039509	0.816136209660401
+236.55	13.7907835437566	3.09933802304396	0.804752366557299
+229.83	13.791683324509	3.09933905492518	0.809747249552681
+232.25	13.7925831055623	3.09934008603874	0.813474962779059
+235.7	13.7934828869163	3.09934111638464	0.804417780634615
+236.63	13.7943826685707	3.09934214596289	0.80197956269952
+221.94	13.7952824505253	3.09934317477347	0.822478129324296
+226.61	13.79618223278	3.09934420281639	0.82347157668931
+230.49	13.7970820153345	3.09934523009165	0.823646188227198
+239.83	13.7979817981885	3.09934625659924	0.81565698393316
+246.56	13.7988815813419	3.09934728233917	0.81435690475925
+237.36	13.7997813647944	3.09934830731143	0.818782135101463
+253.44	13.8006811485457	3.09934933151603	0.798157385766832
+233.84	13.7116051361243	3.09833973694009	0.80248130605179
+251.08	13.7125048887564	3.09834083604856	0.801311969839774
+229.57	13.7134046417092	3.09834193438971	0.809016984958253
+235.02	13.7143043949823	3.09834303196354	0.809450469854945
+235.74	13.7152041485756	3.09834412877006	0.805954315547733
+243.42	13.7161039024888	3.09834522480925	0.80635967405723
+239.37	13.7170036567217	3.09834632008112	0.802679049551081
+239.34	13.7179034112742	3.09834741458566	0.822936189844583
+228.32	13.7188031661459	3.09834850832288	0.816726377937524
+233.84	13.7197029213366	3.09834960129278	0.817246291667147
+231.31	13.7206026768462	3.09835069349535	0.81202941899858
+231.71	13.7215024326743	3.09835178493058	0.811536062770345
+236.93	13.7224021888209	3.09835287559849	0.806528622307999
+230.23	13.7233019452856	3.09835396549907	0.809544600084895
+239.55	13.7242017020682	3.09835505463231	0.785978621072041
+235.42	13.7251014591685	3.09835614299822	0.799260140475531
+241.69	13.7260012165863	3.09835723059679	0.792028518335925
+238.13	13.7269009743213	3.09835831742803	0.818135772719598
+240.8	13.7278007323734	3.09835940349193	0.798993096330368
+241.38	13.7287004907423	3.09836048878849	0.802089232140921
+233.55	13.7296002494278	3.09836157331771	0.80740476316035
+231.08	13.7305000084296	3.09836265707958	0.812247274609388
+230.56	13.7313997677475	3.09836374007411	0.81093578874782
+246.01	13.7322995273814	3.0983648223013	0.79885590967875
+238.22	13.733199287331	3.09836590376114	0.806263889110937
+239.1	13.734099047596	3.09836698445363	0.814237272407407
+244.87	13.7349988081762	3.09836806437878	0.811913747653094
+242.53	13.7358985690715	3.09836914353657	0.809405045070011
+234.22	13.7367983302815	3.09837022192701	0.819186627502044
+234.28	13.7376980918062	3.0983712995501	0.806660908423661
+234.24	13.7385978536451	3.09837237640583	0.809659650208324
+241.08	13.7394976157982	3.09837345249421	0.811702462388272
+247.16	13.7403973782652	3.09837452781524	0.821126633292972
+246.09	13.7412971410458	3.0983756023689	0.828652361341245
+242.29	13.7421969041399	3.0983766761552	0.817558170537496
+241.32	13.7430966675473	3.09837774917415	0.819870177356701
+232.77	13.7439964312676	3.09837882142573	0.807637781321992
+226.21	13.7448961953007	3.09837989290994	0.818336333134237
+231.99	13.7457959596463	3.09838096362679	0.815359889794513
+244.55	13.7466957243043	3.09838203357628	0.808296511650265
+237.07	13.7475954892744	3.0983831027584	0.811457795267518
+238.29	13.7484952545563	3.09838417117315	0.803197100209746
+241.51	13.7493950201499	3.09838523882053	0.805529029410585
+240.13	13.750294786055	3.09838630570054	0.810449613263611
+248.08	13.7511945522712	3.09838737181317	0.805206223916166
+240.31	13.7520943187985	3.09838843715843	0.805552699651671
+243.61	13.7529940856365	3.09838950173632	0.804607757363663
+242.95	13.753893852785	3.09839056554683	0.798526711099189
+249.86	13.7547936202438	3.09839162858996	0.807174717517344
+241.71	13.7556933880128	3.09839269086571	0.805574232382416
+241.5	13.7565931560916	3.09839375237408	0.809922817466347
+234.04	13.75749292448	3.09839481311507	0.814001320010437
+231.46	13.7583926931779	3.09839587308867	0.81681209732908
+236.91	13.7592924621849	3.09839693229489	0.808017728427738
+229.9	13.7601922315009	3.09839799073373	0.80912493825951
+230.79	13.7610920011257	3.09839904840518	0.809758158113822
+240	13.761991771059	3.09840010530923	0.794322871076654
+235.54	13.7628915413005	3.0984011614459	0.798709573676911
+228.9	13.7637913118502	3.09840221681518	0.816420415855068
+239.94	13.7646910827077	3.09840327141707	0.807985824456839
+246.24	13.7655908538728	3.09840432525156	0.802358779415156
+267.79	13.7664906253453	3.09840537831866	0.775517918033842
+240.15	13.767390397125	3.09840643061836	0.808138046727021
+238.31	13.7682901692117	3.09840748215066	0.805706741923881
+237.12	13.7691899416051	3.09840853291556	0.801677855002332
+239.1	13.7700897143049	3.09840958291307	0.796946380373041
+243.75	13.7709894873111	3.09841063214317	0.80825467763773
+274.84	13.7718892606233	3.09841168060587	0.777850243178863
+274.45	13.7727890342414	3.09841272830116	0.784715582026735
+265.85	13.7736888081651	3.09841377522905	0.770527362284785
+252.1	13.7745885823941	3.09841482138954	0.793105078788404
+241.91	13.7754883569283	3.09841586678261	0.808272819843445
+240.64	13.7763881317675	3.09841691140828	0.818795096135135
+251.47	13.7772879069114	3.09841795526653	0.805163012808288
+249.36	13.7781876823597	3.09841899835738	0.803835407064218
+241.29	13.7790874581124	3.09842004068081	0.807050781095823
+237.76	13.779987234169	3.09842108223682	0.818988512220273
+243.68	13.7808870105295	3.09842212302542	0.817249221973597
+251.43	13.7817867871936	3.09842316304661	0.806092799238896
+229.71	13.782686564161	3.09842420230037	0.821417706114998
+223.33	13.7835863414316	3.09842524078672	0.81703082517116
+227.83	13.7844861190052	3.09842627850564	0.825535313933791
+228.68	13.7853858968814	3.09842731545714	0.819778830470512
+237.75	13.7862856750601	3.09842835164122	0.822715562964086
+237.15	13.787185453541	3.09842938705788	0.818145183164519
+234.7	13.788085232324	3.0984304217071	0.810678936036088
+241.95	13.7889850114088	3.09843145558891	0.808715561074863
+248.43	13.7898847907951	3.09843248870328	0.81149918424074
+234.88	13.7907845704828	3.09843352105022	0.806987937249532
+232.97	13.7916843504717	3.09843455262973	0.809829549172283
+239.23	13.7925841307614	3.09843558344181	0.8009977827051
+229.54	13.7934839113518	3.09843661348646	0.806277191318743
+224.64	13.7943836922427	3.09843764276367	0.81113986589813
+223.65	13.7952834734338	3.09843867127344	0.821415414520971
+225.34	13.796183254925	3.09843969901578	0.820007666384501
+230.79	13.7970830367159	3.09844072599068	0.814021877878137
+245.22	13.7979828188064	3.09844175219814	0.800459952869027
+240.52	13.7988826011962	3.09844277763816	0.815282427659754
+246.46	13.7997823838851	3.09844380231073	0.80357051832508
+245.12	13.800682166873	3.09844482621587	0.814546186783585
+240.94	13.7116062297158	3.0974352623595	0.797719955581475
+249.46	13.7125059815847	3.09743636114651	0.795487325845455
+239.49	13.7134057337742	3.09743745916643	0.809817988828095
+237.41	13.7143054862841	3.09743855641925	0.815213889117843
+243.77	13.7152052391142	3.09743965290498	0.806832813964297
+244.53	13.7161049922642	3.09744074862362	0.801708117818317
+243.05	13.717004745734	3.09744184357515	0.81001318515728
+243.09	13.7179044995232	3.09744293775959	0.820828399795779
+231.7	13.7188042536317	3.09744403117693	0.814333704849065
+233.26	13.7197040080592	3.09744512382716	0.811617490111128
+240.28	13.7206037628056	3.09744621571029	0.814854739254323
+233.25	13.7215035178706	3.09744730682632	0.814107745708716
+233.5	13.7224032732539	3.09744839717524	0.811486821303004
+233.6	13.7233030289554	3.09744948675706	0.8085611180892
+235.88	13.7242027849748	3.09745057557176	0.797521448999047
+239.81	13.7251025413119	3.09745166361936	0.807790762381747
+236.27	13.7260022979664	3.09745275089984	0.807141268782363
+233.04	13.7269020549383	3.09745383741321	0.803642465417042
+241.12	13.7278018122271	3.09745492315947	0.811627807286572
+239.68	13.7287015698328	3.09745600813862	0.805577809329663
+232.8	13.729601327755	3.09745709235064	0.796057319973555
+232	13.7305010859936	3.09745817579555	0.811731250075739
+243.33	13.7314008445484	3.09745925847334	0.804547286946706
+242.31	13.732300603419	3.09746034038401	0.795408032744948
+239.04	13.7332003626053	3.09746142152756	0.79903631927728
+241.3	13.7341001221071	3.09746250190398	0.815763465656399
+247.15	13.7349998819241	3.09746358151328	0.814461281916107
+239.02	13.7358996420562	3.09746466035545	0.81104885744335
+231.25	13.736799402503	3.0974657384305	0.815955655346618
+223.07	13.7376991632644	3.09746681573841	0.807351434426229
+240.35	13.7385989243401	3.0974678922792	0.803217711938938
+237.4	13.7394986857299	3.09746896805286	0.813279075750134
+238.63	13.7403984474337	3.09747004305938	0.814569690936523
+250.95	13.7412982094511	3.09747111729877	0.797302577826195
+241.93	13.742197971782	3.09747219077102	0.818118519073111
+238.58	13.743097734426	3.09747326347614	0.812987350380329
+232.73	13.7439974973831	3.09747433541412	0.823738582233845
+234.59	13.744897260653	3.09747540658496	0.814314593837755
+233.12	13.7457970242354	3.09747647698866	0.821289785697381
+243.06	13.7466967881301	3.09747754662522	0.81019551139073
+244.51	13.7475965523369	3.09747861549464	0.800994633076472
+241.53	13.7484963168556	3.09747968359691	0.797178550182714
+236.73	13.749396081686	3.09748075093203	0.809549876631662
+239.67	13.7502958468278	3.09748181750001	0.81395239989703
+244.16	13.7511956122808	3.09748288330084	0.792863293319151
+234.84	13.7520953780447	3.09748394833452	0.813346844582372
+243.98	13.7529951441195	3.09748501260105	0.814725457570715
+243.72	13.7538949105047	3.09748607610043	0.802328851428735
+247.87	13.7547946772003	3.09748713883265	0.797723547471856
+245.31	13.755694444206	3.09748820079772	0.798670396043618
+246.08	13.7565942115215	3.09748926199563	0.813863447439171
+233.5	13.7574939791467	3.09749032242639	0.807798327060139
+229.87	13.7583937470813	3.09749138208998	0.80754171831009
+231	13.7592935153251	3.09749244098642	0.810337376356594
+232.84	13.7601932838778	3.09749349911569	0.812770283417852
+224.46	13.7610930527393	3.0974945564778	0.820266158040735
+224.46	13.7619928219093	3.09749561307275	0.804622337420663
+235.09	13.7628925913876	3.09749666890053	0.798924645830809
+246.29	13.763792361174	3.09749772396115	0.800998721636306
+252.76	13.7646921312682	3.09749877825459	0.804108363317913
+247.23	13.7655919016701	3.09749983178087	0.794856032850574
+260.46	13.7664916723793	3.09750088453998	0.779196083504803
+259.96	13.7673914433957	3.09750193653191	0.770306623211992
+236.46	13.7682912147191	3.09750298775668	0.80335910423887
+242.83	13.7691909863492	3.09750403821426	0.812408487781934
+245.56	13.7700907582858	3.09750508790468	0.787036082367934
+254.24	13.7709905305287	3.09750613682791	0.798367402770346
+262.16	13.7718903030777	3.09750718498397	0.7891953125
+265.04	13.7727900759324	3.09750823237284	0.791501884693815
+249.05	13.7736898490928	3.09750927899454	0.80618792502648
+242.33	13.7745896225586	3.09751032484905	0.805398389653993
+242.18	13.7754893963295	3.09751136993638	0.815366506559338
+247.63	13.7763891704054	3.09751241425653	0.807235180219857
+254.45	13.777288944786	3.09751345780949	0.804818450557117
+244.68	13.778188719471	3.09751450059526	0.808598478471738
+218.6	13.7790884944604	3.09751554261384	0.820471358693455
+225.28	13.7799882697537	3.09751658386523	0.819779692529138
+255.24	13.7808880453509	3.09751762434943	0.807371425747918
+255.98	13.7817878212517	3.09751866406644	0.812138771265136
+236.29	13.7826875974559	3.09751970301626	0.812116374446065
+218.63	13.7835873739632	3.09752074119888	0.820768206093343
+233.77	13.7844871507734	3.0975217786143	0.827280901483619
+224.83	13.7853869278863	3.09752281526253	0.818003945538631
+229.37	13.7862867053017	3.09752385114356	0.825924045178962
+233.92	13.7871864830193	3.09752488625738	0.819900995167903
+236.37	13.788086261039	3.09752592060401	0.812410046421115
+250	13.7889860393604	3.09752695418343	0.834138842311839
+249.13	13.7898858179835	3.09752798699565	0.799192037842471
+245.33	13.7907855969079	3.09752901904066	0.808201306209181
+238.63	13.7916853761334	3.09753005031847	0.812627775400561
+243.59	13.7925851556598	3.09753108082907	0.800477964096744
+229.74	13.7934849354869	3.09753211057246	0.805938349568345
+223.23	13.7943847156145	3.09753313954864	0.815406244413022
+223.41	13.7952844960423	3.0975341677576	0.820840154514883
+228.04	13.7961842767701	3.09753519519936	0.815836182353151
+234.11	13.7970840577977	3.0975362218739	0.805629976697529
+253.44	13.7979838391249	3.09753724778122	0.801251090614483
+255.02	13.7988836207514	3.09753827292133	0.797007667566043
+232.39	13.799783402677	3.09753929729422	0.805751574474543
+235.96	13.8006831849015	3.09754032089989	0.805877878315395
+246.1	13.7116073229864	3.09653078776304	0.7933289425996
+247.18	13.7125070740923	3.0965318862286	0.801280128012801
+242.38	13.7134068255189	3.09653298392729	0.804347236587756
+229.67	13.7143065772658	3.09653408085911	0.811103824964955
+239.41	13.7152063293329	3.09653517702406	0.803914491622172
+252.96	13.71610608172	3.09653627242213	0.800852222072624
+246.75	13.7170058344267	3.09653736705334	0.817271201941426
+240.75	13.717905587453	3.09653846091767	0.812433661865049
+236.09	13.7188053407985	3.09653955401512	0.815027554526385
+241.04	13.7197050944631	3.09654064634569	0.799348460929749
+238.94	13.7206048484464	3.09654173790939	0.818592701494927
+233.1	13.7215046027484	3.09654282870621	0.817691002867963
+242.39	13.7224043573687	3.09654391873614	0.802629453503902
+238.37	13.7233041123072	3.09654500799919	0.812124666100637
+241.92	13.7242038675636	3.09654609649536	0.800477461691343
+237.4	13.7251036231377	3.09654718422465	0.811221597438215
+231.45	13.7260033790293	3.09654827118704	0.815230288836846
+234.46	13.7269031352382	3.09654935738255	0.817327244495821
+240.6	13.727802891764	3.09655044281117	0.80844816953741
+234.6	13.7287026486067	3.09655152747289	0.800186508134752
+233.5	13.7296024057659	3.09655261136773	0.798893113645965
+237.58	13.7305021632415	3.09655369449567	0.79875599112365
+242.48	13.7314019210333	3.09655477685672	0.802911190995344
+241.26	13.7323016791409	3.09655585845087	0.803456766664291
+247.23	13.7332014375642	3.09655693927812	0.801235131784493
+249.81	13.734101196303	3.09655801933848	0.811040205868284
+248.9	13.735000955357	3.09655909863193	0.8068055185559
+235.57	13.735900714726	3.09656017715849	0.807047578286611
+231.39	13.7368004744098	3.09656125491814	0.813095632477908
+237.21	13.7377002344082	3.09656233191088	0.81512466418438
+242.15	13.7385999947209	3.09656340813672	0.809182812162613
+231.46	13.7394997553478	3.09656448359566	0.818558285817366
+241.44	13.7403995162885	3.09656555828768	0.802774474179119
+253.78	13.7412992775429	3.0965666322128	0.803817914831131
+249.03	13.7421990391107	3.09656770537101	0.815906757381895
+239.03	13.7430988009918	3.0965687777623	0.80042689434365
+235.27	13.7439985631858	3.09656984938668	0.824142825741121
+242.41	13.7448983256927	3.09657092024415	0.833531215823464
+246.33	13.7457980885121	3.09657199033469	0.835809351078868
+250.22	13.7466978516438	3.09657305965833	0.794189224311063
+240.63	13.7475976150876	3.09657412821504	0.795476186498722
+243.56	13.7484973788432	3.09657519600483	0.802774703031678
+237.86	13.7493971429106	3.0965762630277	0.812437105390966
+237.69	13.7502969072893	3.09657732928365	0.799452182334335
+241.84	13.7511966719793	3.09657839477268	0.804315746370709
+239.01	13.7520964369802	3.09657945949478	0.807039458600489
+239.75	13.752996202292	3.09658052344995	0.81143363702752
+243.04	13.7538959679142	3.0965815866382	0.809424042840112
+244.37	13.7547957338467	3.09658264905952	0.797507217918743
+249.24	13.7556955000894	3.0965837107139	0.803591247819883
+245.63	13.7565952666419	3.09658477160135	0.810469327393289
+226.2	13.757495033504	3.09658583172188	0.820212107137328
+224.49	13.7583948006756	3.09658689107546	0.810579187715022
+237.46	13.7592945681563	3.09658794966211	0.79831832071741
+229.19	13.760194335946	3.09658900748183	0.808393498566798
+223.86	13.7610941040444	3.0965900645346	0.814328626122393
+242.15	13.7619938724514	3.09659112082044	0.796726273127186
+249.45	13.7628936411667	3.09659217633933	0.803354526475612
+256.05	13.76379341019	3.09659323109128	0.79617748736245
+247.3	13.7646931795212	3.09659428507629	0.796403014631736
+251.76	13.76559294916	3.09659533829436	0.789506302081152
+248.32	13.7664927191062	3.09659639074548	0.80669061777656
+238.85	13.7673924893595	3.09659744242965	0.796416567688459
+240.38	13.7682922599198	3.09659849334687	0.788670005186325
+243.57	13.7691920307869	3.09659954349714	0.793362117483701
+241.16	13.7700918019604	3.09660059288046	0.783873133503871
+243.93	13.7709915734403	3.09660164149683	0.785024184988946
+243.3	13.7718913452261	3.09660268934624	0.797494798379284
+252.84	13.7727911173179	3.0966037364287	0.808387399240809
+249.6	13.7736908897152	3.0966047827442	0.797884706691334
+247.58	13.7745906624179	3.09660582829275	0.815331402589997
+258.96	13.7754904354258	3.09660687307433	0.803769194797492
+254.2	13.7763902087385	3.09660791708896	0.807595090441238
+244.89	13.7772899823561	3.09660896033662	0.812653593363613
+251.33	13.7781897562781	3.09661000281732	0.800751296881522
+230.61	13.7790895305043	3.09661104453105	0.815414178177836
+222.9	13.7799893050346	3.09661208547782	0.821317494002948
+245.1	13.7808890798687	3.09661312565763	0.805556651490164
+254.51	13.7817888550064	3.09661416507046	0.809467934912206
+242.18	13.7826886304475	3.09661520371633	0.807917020152706
+219.22	13.7835884061917	3.09661624159522	0.828981436952967
+231.7	13.7844881822389	3.09661727870715	0.827038204959322
+221.6	13.7853879585887	3.0966183150521	0.818206351737589
+232.65	13.786287735241	3.09661935063007	0.81325540081845
+237.67	13.7871875121956	3.09662038544107	0.817514611326843
+245.9	13.7880872894522	3.0966214194851	0.814660074739456
+252.07	13.7889870670105	3.09662245276214	0.81916775155805
+251.27	13.7898868448705	3.09662348527221	0.810673409533834
+240.93	13.7907866230318	3.09662451701529	0.811149447567358
+240.42	13.7916864014942	3.09662554799139	0.808290216047818
+239.73	13.7925861802576	3.09662657820051	0.812504123667328
+231.39	13.7934859593216	3.09662760764264	0.811008114610037
+225.51	13.7943857386861	3.09662863631779	0.816080775721518
+236.96	13.7952855183508	3.09662966422595	0.809810854306044
+238.9	13.7961852983155	3.09663069136712	0.809373721332528
+245.12	13.79708507858	3.09663171774131	0.806932364618627
+252.5	13.7979848591441	3.0966327433485	0.810402087982751
+247.08	13.7988846400075	3.0966337681887	0.811556524338787
+229.56	13.79978442117	3.0966347922619	0.802744410865903
+243.79	13.8006842026314	3.09663581556811	0.79516132353244
+248.27	13.7116084159362	3.09562631315074	0.813076227779452
+251.93	13.7125081662794	3.09562741129484	0.786139920869472
+244.62	13.7134079169432	3.0956285086723	0.79706543188168
+238.26	13.7143076679274	3.09562960528311	0.810953265023291
+247.33	13.7152074192317	3.09563070112728	0.814229106887302
+250.27	13.716107170856	3.0956317962048	0.80442756186312
+244.48	13.7170069228	3.09563289051567	0.809273964832672
+237.31	13.7179066750635	3.09563398405989	0.811713874592272
+236.25	13.7188064276463	3.09563507683746	0.809659423399524
+236.25	13.7197061805481	3.09563616884838	0.817580729964557
+234.94	13.7206059337687	3.09563726009264	0.811935270597865
+242.46	13.7215056873079	3.09563835057025	0.805029335863817
+241.73	13.7224054411655	3.09563944028119	0.815330701326354
+248.08	13.7233051953412	3.09564052922549	0.796689142968826
+248.33	13.7242049498348	3.09564161740312	0.806033413748788
+236.32	13.7251047046462	3.09564270481409	0.829064051577205
+231.34	13.726004459775	3.0956437914584	0.813606099823803
+232.33	13.726904215221	3.09564487733604	0.812077279309961
+232.43	13.7278039709841	3.09564596244702	0.81640119878904
+236.8	13.728703727064	3.09564704679133	0.793337356873879
+232.08	13.7296034834605	3.09564813036898	0.801689442056414
+231.84	13.7305032401733	3.09564921317995	0.805728149351317
+232.75	13.7314029972022	3.09565029522426	0.805147974139662
+244.22	13.7323027545471	3.09565137650189	0.810971800820989
+242.88	13.7332025122076	3.09565245701285	0.809748650272241
+250.53	13.7341022701836	3.09565353675714	0.810449592368618
+243.63	13.7350020284749	3.09565461573475	0.803918414248779
+238.18	13.7359017870811	3.09565569394568	0.813009990086174
+234.89	13.7368015460021	3.09565677138994	0.810980487977899
+246.36	13.7377013052377	3.09565784806752	0.788577409172598
+240.84	13.7386010647877	3.09565892397841	0.793165390701852
+242.63	13.7395008246517	3.09565999912262	0.804671713121853
+244.7	13.7404005848296	3.09566107350015	0.812297486728918
+244.68	13.7413003453213	3.09566214711099	0.810243161094225
+238.3	13.7422001061263	3.09566321995515	0.818811349430357
+226.85	13.7430998672446	3.09566429203262	0.817020516815998
+228.88	13.7439996286758	3.0956653633434	0.820547044184338
+236.44	13.7448993904199	3.09566643388749	0.798228469247723
+238.68	13.7457991524764	3.09566750366489	0.816294853455885
+240.86	13.7466989148453	3.0956685726756	0.834264901113116
+244.23	13.7475986775263	3.09566964091961	0.827799642345446
+239.5	13.7484984405192	3.09567070839692	0.824822817383304
+241.9	13.7493982038237	3.09567177510754	0.823330166321121
+242.16	13.7502979674397	3.09567284105146	0.824834554797103
+251.68	13.7511977313669	3.09567390622869	0.812749210678446
+243.79	13.752097495605	3.09567497063921	0.819921416543349
+242.98	13.7529972601539	3.09567603428302	0.799938954352314
+244.38	13.7538970250133	3.09567709716014	0.797797047852839
+241.38	13.7547967901831	3.09567815927055	0.797711205590098
+251.22	13.7556965556629	3.09567922061425	0.800396573358326
+244.03	13.7565963214526	3.09568028119125	0.799233763120951
+234.87	13.7574960875519	3.09568134100154	0.813462752586384
+228.56	13.7583958539606	3.09568240004512	0.805517270626153
+235.87	13.7592956206785	3.09568345832198	0.802998738772862
+245.53	13.7601953877054	3.09568451583214	0.793166870571234
+245.47	13.761095155041	3.09568557257558	0.794495035665097
+255.08	13.7619949226852	3.0956866285523	0.791888245721367
+267.18	13.7628946906376	3.09568768376231	0.784986880782813
+274.67	13.7637944588981	3.0956887382056	0.786241076845009
+253.39	13.7646942274665	3.09568979188217	0.796961852119629
+256.51	13.7655939963424	3.09569084479202	0.78962694981384
+240.6	13.7664937655258	3.09569189693515	0.788315821273532
+233.48	13.7673935350163	3.09569294831156	0.799611627974379
+244.05	13.7682933048138	3.09569399892124	0.793056741556491
+245.76	13.769193074918	3.09569504876419	0.790397353691226
+225.3	13.7700928453288	3.09569609784042	0.811178094219895
+239.33	13.7709926160458	3.09569714614993	0.796592935708003
+248.94	13.7718923870688	3.0956981936927	0.792355470220927
+247.04	13.7727921583977	3.09569924046874	0.79881947860305
+261.1	13.7736919300322	3.09570028647805	0.789577157364335
+256.61	13.774591701972	3.09570133172062	0.802876705058118
+258.92	13.775491474217	3.09570237619646	0.804452659121334
+253.09	13.776391246767	3.09570341990557	0.818327376697641
+251.6	13.7772910196217	3.09570446284794	0.810553352219075
+249.08	13.7781907927808	3.09570550502356	0.815232332287465
+238.06	13.7790905662442	3.09570654643245	0.817681961873005
+231.77	13.7799903400117	3.0957075870746	0.814790818946786
+237.87	13.780890114083	3.09570862695001	0.816174343107792
+246.37	13.7817898884578	3.09570966605867	0.809414359868264
+240.46	13.782689663136	3.09571070440059	0.813053683054236
+235.38	13.7835894381174	3.09571174197576	0.816747163223742
+224.03	13.7844892134017	3.09571277878418	0.819599837319277
+217.7	13.7853889889887	3.09571381482586	0.823915496261308
+224.15	13.7862887648781	3.09571485010078	0.817793816163336
+233.23	13.7871885410698	3.09571588460895	0.813559738737779
+237.27	13.7880883175635	3.09571691835038	0.83108966672513
+238.48	13.7889880943591	3.09571795132504	0.806899434492349
+234.63	13.7898878714562	3.09571898353295	0.808311435040574
+232.7	13.7907876488546	3.09572001497411	0.814295520715802
+234.35	13.7916874265542	3.09572104564851	0.814994319129834
+226.96	13.7925872045547	3.09572207555615	0.819211512898681
+225.62	13.7934869828558	3.09572310469702	0.812304818732331
+234.13	13.7943867614574	3.09572413307114	0.802213386891831
+233.56	13.7952865403593	3.09572516067849	0.815143392556396
+240.85	13.7961863195611	3.09572618751909	0.801527146370921
+252.93	13.7970860990627	3.09572721359291	0.802924353195197
+245.73	13.7979858788639	3.09572823889997	0.817337472756404
+241.68	13.7988856589645	3.09572926344026	0.809521169813861
+229.39	13.7997854393641	3.09573028721378	0.801224185376643
+239.32	13.8006852200626	3.09573131022053	0.803000317623201
+253.2	13.7116095085651	3.09472183852258	0.79188555849964
+247.21	13.7125092581458	3.09472293634523	0.7795131062021
+237.44	13.7134090080471	3.09472403340146	0.792348484233265
+244.22	13.7143087582687	3.09472512969127	0.810244267379446
+249.61	13.7152085088106	3.09472622521466	0.815852434977232
+239.62	13.7161082596723	3.09472731997162	0.813210702341137
+243.52	13.7170080108538	3.09472841396216	0.809704929280726
+237.01	13.7179077623548	3.09472950718627	0.810758793058893
+231.49	13.718807514175	3.09473059964396	0.809439947796074
+233.48	13.7197072663142	3.09473169133522	0.803571572996449
+233.39	13.7206070187723	3.09473278226004	0.814189375714793
+235.24	13.721506771549	3.09473387241844	0.802647738988634
+243.83	13.722406524644	3.09473496181041	0.804706316928192
+246.36	13.7233062780572	3.09473605043594	0.802985580086897
+241.99	13.7242060317883	3.09473713829503	0.808794287262748
+242.41	13.7251057858371	3.09473822538769	0.810491363816371
+237.37	13.7260055402034	3.09473931171391	0.811870597649967
+243.51	13.7269052948869	3.09474039727369	0.800225033134327
+244.52	13.7278050498874	3.09474148206703	0.803060968339138
+236.53	13.7287048052048	3.09474256609393	0.798988114691367
+233.67	13.7296045608387	3.09474364935439	0.794992263450111
+227.39	13.7305043167889	3.0947447318484	0.808526773938275
+228.51	13.7314040730553	3.09474581357596	0.817075753200501
+239.11	13.7323038296376	3.09474689453708	0.803098056289087
+253.38	13.7332035865356	3.09474797473175	0.805496579815947
+259.35	13.7341033437491	3.09474905415997	0.809524479163005
+242.28	13.7350031012777	3.09475013282173	0.810170397084359
+242.14	13.7359028591214	3.09475121071705	0.808052178795442
+242.7	13.7368026172799	3.09475228784591	0.80768274683446
+246.28	13.7377023757529	3.09475336420831	0.800595485225561
+245.05	13.7386021345403	3.09475443980426	0.785282628155152
+237.92	13.7395018936418	3.09475551463375	0.797389262382019
+234.69	13.7404016530571	3.09475658869679	0.804477624334626
+246.34	13.7413014127862	3.09475766199336	0.804793021449106
+242.35	13.7422011728286	3.09475873452347	0.805437918608827
+238.72	13.7431009331843	3.09475980628711	0.806396686426147
+232.3	13.744000693853	3.0947608772843	0.822278798472441
+234.12	13.7449004548345	3.09476194751501	0.812986138567352
+231.87	13.7458002161285	3.09476301697926	0.807764599131506
+238.11	13.7466999777348	3.09476408567704	0.799489444533799
+239.57	13.7475997396532	3.09476515360835	0.811670575890377
+245.85	13.7484995018835	3.09476622077319	0.811033716826362
+245.52	13.7493992644255	3.09476728717156	0.804862937105208
+244.77	13.7502990272789	3.09476835280345	0.811939163211743
+246.7	13.7511987904434	3.09476941766887	0.832037375742934
+248.39	13.752098553919	3.09477048176781	0.809546556919233
+248.08	13.7529983177053	3.09477154510027	0.817827373913293
+244.67	13.7538980818021	3.09477260766626	0.819067648830598
+245.88	13.7547978462093	3.09477366946576	0.820281107002582
+246.08	13.7556976109265	3.09477473049878	0.8117038896605
+244.22	13.7565973759536	3.09477579076532	0.809256413515273
+229.23	13.7574971412903	3.09477685026538	0.822962247352768
+224.2	13.7583969069365	3.09477790899895	0.804164283747432
+229.15	13.7592966728918	3.09477896696603	0.80629559666493
+242.7	13.7601964391561	3.09478002416662	0.808591379429546
+253.03	13.7610962057291	3.09478108060073	0.784614281788748
+243.29	13.7619959726107	3.09478213626834	0.796081019961617
+262.73	13.7628957398005	3.09478319116947	0.784273958739122
+274.96	13.7637955072984	3.0947842453041	0.772883568403961
+253.94	13.7646952751042	3.09478529867223	0.79185676299084
+259.28	13.7655950432175	3.09478635127387	0.789921363451236
+243.72	13.7664948116383	3.09478740310901	0.794636009073255
+230.92	13.7673945803662	3.09478845417765	0.810785433526951
+235.49	13.7682943494011	3.09478950447979	0.799830713016661
+235.98	13.7691941187427	3.09479055401544	0.809893793416066
+231.81	13.7700938883908	3.09479160278457	0.79440837848091
+241.28	13.7709936583452	3.09479265078721	0.803617290950936
+257.33	13.7718934286056	3.09479369802334	0.798929471032745
+253	13.7727931991719	3.09479474449296	0.797470393941835
+264.73	13.7736929700438	3.09479579019608	0.7886529699312
+256.6	13.774592741221	3.09479683513269	0.802380473895552
+253.47	13.7754925127034	3.09479787930278	0.803761419421017
+252.97	13.7763922844908	3.09479892270637	0.800402489529833
+254.7	13.7772920565828	3.09479996534344	0.808274415978924
+257.09	13.7781918289793	3.094801007214	0.792689732142857
+245.4	13.7790916016801	3.09480204831804	0.802212592738494
+243.21	13.7799913746849	3.09480308865557	0.815845219601751
+240.93	13.7808911479936	3.09480412822658	0.799132936066398
+241.22	13.7817909216058	3.09480516703107	0.80319777149699
+238.08	13.7826906955214	3.09480620506904	0.810069106311084
+229.61	13.7835904697402	3.09480724234048	0.813450847131999
+235.99	13.7844902442618	3.09480827884541	0.812024353120244
+247.23	13.7853900190862	3.09480931458381	0.80869786105808
+239.02	13.786289794213	3.09481034955568	0.804503886021341
+232.4	13.787189569642	3.09481138376103	0.808013447718175
+234.68	13.7880893453731	3.09481241719985	0.821158795509582
+232.19	13.788989121406	3.09481344987214	0.806148698634743
+228.93	13.7898888977405	3.0948144817779	0.813280901609438
+223.24	13.7907886743763	3.09481551291712	0.820984170600988
+227.82	13.7916884513132	3.09481654328982	0.825361423428731
+229.21	13.792588228551	3.09481757289598	0.811703773781558
+230.45	13.7934880060896	3.0948186017356	0.814294989459509
+233.07	13.7943877839285	3.09481962980869	0.80455307769972
+232.34	13.7952875620677	3.09482065711524	0.813326178624774
+246.82	13.7961873405069	3.09482168365524	0.796075816744452
+248.86	13.7970871192459	3.09482270942871	0.806258946825489
+241.76	13.7979868982845	3.09482373443564	0.813788757630053
+232.59	13.7988866776223	3.09482475867602	0.801438836960904
+231.33	13.7997864572593	3.09482578214986	0.81064854848672
+233.98	13.8006862371952	3.09482680485715	0.804064035821442
+240.07	13.7116106008732	3.09381736387858	0.814952624557696
+245.28	13.7125103496916	3.09381846137978	0.789380261501498
+236.67	13.7134100988306	3.09381955811478	0.799951751766795
+238.47	13.71430984829	3.09382065408358	0.808267561858898
+245.96	13.7152095980695	3.09382174928619	0.802451191909099
+238.53	13.7161093481689	3.0938228437226	0.825146171907371
+236.5	13.7170090985881	3.09382393739281	0.810792121518201
+232.54	13.7179088493267	3.09382503029681	0.819057252973957
+230.57	13.7188086003846	3.09382612243462	0.823856592268537
+234.78	13.7197083517616	3.09382721380622	0.817001271627298
+228.38	13.7206081034574	3.09382830441161	0.807306897168505
+238.59	13.7215078554717	3.0938293942508	0.812561308421917
+235.16	13.7224076078044	3.09383048332378	0.802538048929397
+238.93	13.7233073604553	3.09383157163055	0.811728347958794
+245.22	13.7242071134241	3.09383265917111	0.803502845154066
+240.89	13.7251068667106	3.09383374594546	0.810701883537451
+243.3	13.7260066203145	3.09383483195359	0.808616703408122
+235.41	13.7269063742357	3.09383591719551	0.812882018752598
+231.13	13.7278061284739	3.09383700167121	0.804822423110612
+242.13	13.7287058830289	3.09383808538069	0.799556978003632
+229.89	13.7296056379005	3.09383916832396	0.803691091772817
+237.01	13.7305053930885	3.09384025050101	0.788163735556233
+232.53	13.7314051485925	3.09384133191183	0.807054168980628
+239.67	13.7323049044125	3.09384241255643	0.798663227488743
+235.72	13.7332046605481	3.09384349243481	0.809289714817234
+250.64	13.7341044169992	3.09384457154696	0.807615274975473
+245.75	13.7350041737656	3.09384564989289	0.804232441611648
+234.35	13.7359039308469	3.09384672747258	0.80667755121689
+241.25	13.7368036882431	3.09384780428605	0.808349623550816
+239.69	13.7377034459538	3.09384888033328	0.800266913219735
+234.32	13.7386032039788	3.09384995561429	0.799413880037368
+246.88	13.7395029623179	3.09385103012906	0.814463756219001
+245.55	13.7404027209709	3.0938521038776	0.805297341101403
+241.4	13.7413024799376	3.09385317685989	0.796054572731088
+232.66	13.7422022392178	3.09385424907596	0.806524759537091
+235.36	13.7431019988111	3.09385532052578	0.804371685756442
+236.55	13.7440017587175	3.09385639120936	0.822018129236196
+235.34	13.7449015189366	3.0938574611267	0.813789960795405
+235.33	13.7458012794682	3.0938585302778	0.809571913621076
+239.04	13.7467010403122	3.09385959866266	0.806970210222178
+246.13	13.7476008014683	3.09386066628127	0.806806084955874
+245.62	13.7485005629362	3.09386173313363	0.820072861941874
+240.14	13.7494003247158	3.09386279921975	0.810646489799828
+248.57	13.7503000868068	3.09386386453961	0.819580936959071
+242.62	13.751199849209	3.09386492909322	0.792286494609391
+245.11	13.7520996119222	3.09386599288059	0.816798625634897
+246.95	13.7529993749462	3.0938670559017	0.80252392178616
+248.05	13.7538991382807	3.09386811815655	0.818280232858249
+241.79	13.7547989019255	3.09386917964515	0.809689955570073
+247.47	13.7556986658803	3.09387024036749	0.818635642818031
+239.56	13.756598430145	3.09387130032357	0.821788503502929
+234.7	13.7574981947194	3.0938723595134	0.813800052873766
+234.96	13.7583979596032	3.09387341793696	0.795810109875329
+237.16	13.7592977247961	3.09387447559426	0.800179252179731
+249.63	13.760197490298	3.0938755324853	0.801005204276575
+250.49	13.7610972561087	3.09387658861007	0.795907265483752
+265.81	13.7619970222279	3.09387764396857	0.796075887064298
+269	13.7628967886553	3.09387869856081	0.794559658879132
+258.14	13.7637965553909	3.09387975238678	0.796501475988756
+253.23	13.7646963224342	3.09388080544647	0.787769565411296
+243.35	13.7655960897852	3.0938818577399	0.808684635316296
+243.81	13.7664958574436	3.09388290926705	0.80659892243695
+240.83	13.7673956254091	3.09388396002793	0.806123955702351
+231.55	13.7682953936816	3.09388501002254	0.799290523175962
+230.2	13.7691951622609	3.09388605925086	0.80621873168068
+239.02	13.7700949311466	3.09388710771291	0.800802412139139
+245.01	13.7709947003386	3.09388815540868	0.795072422488251
+253.52	13.7718944698366	3.09388920233817	0.804844832309318
+261.63	13.7727942396405	3.09389024850138	0.795929051414284
+273.46	13.77369400975	3.0938912938983	0.792294807370184
+250.66	13.7745937801648	3.09389233852894	0.795834112168521
+247.18	13.7754935508848	3.0938933823933	0.804920043398273
+252.28	13.7763933219098	3.09389442549136	0.801323671914538
+254.66	13.7772930932394	3.09389546782314	0.796640908374074
+264.85	13.7781928648736	3.09389650938863	0.791427982530849
+257.7	13.779092636812	3.09389755018783	0.802245463987734
+239.87	13.7799924090544	3.09389859022073	0.816748249345175
+242.28	13.7808921816006	3.09389962948734	0.822136001633653
+244.68	13.7817919544505	3.09390066798766	0.807704385234963
+238.01	13.7826917276037	3.09390170572168	0.815509116592083
+227.84	13.78359150106	3.09390274268941	0.806030914486336
+233.53	13.7844912748192	3.09390377889083	0.806029628706185
+251.62	13.7853910488812	3.09390481432596	0.798398586426189
+243.74	13.7862908232456	3.09390584899478	0.801701700052715
+239.37	13.7871905979122	3.0939068828973	0.814030406404039
+235.48	13.7880903728809	3.09390791603352	0.821784842629311
+223.64	13.7889901481514	3.09390894840344	0.821266605772158
+224.25	13.7898899237234	3.09390998000704	0.816790586876489
+221.97	13.7907896995968	3.09391101084434	0.822500039412905
+222.77	13.7916894757713	3.09391204091533	0.815763420943378
+225.02	13.7925892522468	3.09391307022001	0.812568591263888
+234.44	13.7934890290229	3.09391409875838	0.814138325716161
+248.09	13.7943888060994	3.09391512653044	0.803232629352527
+240.05	13.7952885834762	3.09391615353618	0.806021810714443
+238.37	13.796188361153	3.09391717977561	0.808949549840877
+237.74	13.7970881391295	3.09391820524872	0.80744426385966
+233.03	13.7979879174056	3.09391922995551	0.806044579385095
+228.27	13.7988876959811	3.09392025389599	0.811970705017849
+232.54	13.7997874748556	3.09392127707014	0.814669959392342
+239.67	13.8006872540291	3.09392229947797	0.808203070689415
+235.6	13.7116116928605	3.09291288921874	0.80481144343303
+236.59	13.7125114409168	3.09291398639849	0.801110505736812
+236.9	13.7134111892937	3.09291508281226	0.790664239193679
+250.53	13.714310937991	3.09291617846006	0.791831838097225
+236.58	13.7152106870084	3.09291727334189	0.806770028031726
+231.06	13.7161104363458	3.09291836745774	0.82281434538384
+238.33	13.7170101860029	3.09291946080762	0.826075655017616
+231.62	13.7179099359795	3.09292055339152	0.819647908762186
+236.34	13.7188096862753	3.09292164520944	0.812118608302885
+245.75	13.7197094368901	3.09292273626138	0.819731913004882
+231.21	13.7206091878238	3.09292382654734	0.81691882118407
+240.17	13.7215089390761	3.09292491606732	0.799991901850427
+240.24	13.7224086906467	3.09292600482132	0.795034170183702
+235.28	13.7233084425355	3.09292709280933	0.815462392484597
+244.8	13.7242081947422	3.09292818003135	0.798874241197504
+243.3	13.7251079472665	3.09292926648739	0.808255435673886
+239.43	13.7260077001084	3.09293035217744	0.808455258902867
+239.06	13.7269074532675	3.09293143710149	0.805133022606014
+234.07	13.7278072067436	3.09293252125956	0.813549973208939
+229.35	13.7287069605365	3.09293360465163	0.821042356498938
+229.1	13.729606714646	3.09293468727771	0.80273653958796
+235.65	13.7305064690718	3.09293576913779	0.806348470240783
+227.68	13.7314062238138	3.09293685023187	0.809542357958119
+231.15	13.7323059788717	3.09293793055996	0.806046576306124
+237.5	13.7332057342452	3.09293901012204	0.809216787209745
+245	13.7341054899342	3.09294008891813	0.807440144498674
+239.31	13.7350052459384	3.09294116694821	0.805321907412092
+235.59	13.7359050022577	3.09294224421229	0.805057145021188
+241.97	13.7368047588917	3.09294332071036	0.807116677454325
+235.93	13.7377045158403	3.09294439644243	0.799828579036714
+243.95	13.7386042731032	3.09294547140849	0.795176212631692
+238.71	13.7395040306802	3.09294654560854	0.811326904794242
+243.11	13.7404037885711	3.09294761904258	0.797097965425918
+235.82	13.7413035467757	3.09294869171061	0.806382198312752
+235.6	13.7422033052937	3.09294976361262	0.805271211811651
+233.89	13.7431030641249	3.09295083474862	0.807396752993905
+226.85	13.7440028232691	3.09295190511861	0.81199865156309
+230.3	13.7449025827261	3.09295297472258	0.82211039495705
+231.62	13.7458023424956	3.09295404356053	0.822730250424322
+229	13.7467021025775	3.09295511163246	0.810197154795309
+238.96	13.7476018629714	3.09295617893837	0.812017400761283
+247.77	13.7485016236772	3.09295724547825	0.805063262359749
+246.26	13.7494013846947	3.09295831125212	0.796134935326785
+250.33	13.7503011460236	3.09295937625996	0.798752704008837
+236.4	13.7512009076637	3.09296044050177	0.812092662595716
+244.67	13.7521006696147	3.09296150397755	0.800650112727385
+241.47	13.7530004318765	3.09296256668731	0.797780317954455
+240.07	13.7539001944489	3.09296362863103	0.812426169835352
+239.09	13.7547999573315	3.09296468980873	0.810119005426521
+238.24	13.7556997205243	3.09296575022039	0.814187989137285
+241.11	13.7565994840268	3.09296680986602	0.814841749617442
+240.03	13.757499247839	3.09296786874561	0.806281446540881
+245.7	13.7583990119607	3.09296892685916	0.782432635534085
+256.87	13.7592987763915	3.09296998420668	0.790343923088633
+250	13.7601985411313	3.09297104078816	0.79116080893911
+267.8	13.7610983061798	3.09297209660359	0.789774524336663
+263.95	13.7619980715368	3.09297315165299	0.783688408302436
+265.04	13.7628978372021	3.09297420593634	0.78318651187212
+252.26	13.7637976031755	3.09297525945365	0.802894623672283
+246.89	13.7646973694567	3.09297631220491	0.803262454049943
+244.27	13.7655971360455	3.09297736419013	0.800441274811697
+238.88	13.7664969029417	3.09297841540929	0.794784766851301
+231.2	13.7673966701451	3.09297946586241	0.804246184971811
+230.96	13.7682964376555	3.09298051554947	0.814019213185613
+236.23	13.7691962054725	3.09298156447049	0.795785398275361
+248.26	13.7700959735961	3.09298261262545	0.792873363887857
+251.62	13.7709957420259	3.09298366001435	0.804831421619743
+248.99	13.7718955107618	3.0929847066372	0.801788215871706
+254.48	13.7727952798035	3.09298575249399	0.808692328274913
+259.12	13.7736950491508	3.09298679758472	0.799908112868027
+256.12	13.7745948188035	3.09298784190939	0.788692562422953
+243.65	13.7754945887613	3.09298888546801	0.803269409910423
+241.98	13.7763943590241	3.09298992826055	0.802766672449058
+251.43	13.7772941295916	3.09299097028704	0.803612400825074
+254.47	13.7781939004636	3.09299201154746	0.797882482033004
+250.5	13.7790936716398	3.09299305204181	0.80787263699932
+244.59	13.77999344312	3.09299409177009	0.808599200164786
+246.52	13.7808932149041	3.09299513073231	0.814224528143995
+252.43	13.7817929869917	3.09299616892846	0.821513174484226
+239.54	13.7826927593828	3.09299720635853	0.803049168758796
+228.11	13.7835925320769	3.09299824302253	0.811914962412093
+237.9	13.784492305074	3.09299927892046	0.810616872183827
+242.59	13.7853920783737	3.09300031405231	0.803906821775012
+249.56	13.786291851976	3.09300134841808	0.80133891551888
+236.35	13.7871916258804	3.09300238201778	0.813596375597747
+234.61	13.7880914000869	3.0930034148514	0.818854031309944
+235	13.7889911745952	3.09300444691894	0.83027576536574
+218.42	13.789890949405	3.09300547822039	0.814839350778404
+220.31	13.7907907245162	3.09300650875576	0.818142331436385
+215.22	13.7916904999286	3.09300753852505	0.826089355747817
+225.73	13.7925902756418	3.09300856752825	0.814555693541049
+234.58	13.7934900516557	3.09300959576537	0.813469999516511
+244.77	13.79438982797	3.0930106232364	0.799073991774203
+237.66	13.7952896045846	3.09301164994133	0.815611904808311
+238.62	13.7961893814992	3.09301267588018	0.809770941945224
+229.72	13.7970891587136	3.09301370105294	0.814049751243781
+236.31	13.7979889362275	3.0930147254596	0.809984063333347
+234.5	13.7988887140407	3.09301574910016	0.802192496899373
+240.04	13.7997884921531	3.09301677197464	0.808667805976585
+248.41	13.8006882705643	3.09301779408301	0.81109619140625
+231.67	13.711612784527	3.09200841454307	0.805723035697196
+230	13.7125125318214	3.09200951140136	0.812975882843068
+230.9	13.7134122794365	3.09201060749391	0.81460783021866
+237.19	13.7143120273719	3.0920117028207	0.800589889677737
+236.31	13.7152117756275	3.09201279738175	0.793300995072569
+247.35	13.716111524203	3.09201389117705	0.800588070367149
+239.91	13.7170112730982	3.0920149842066	0.820199683212017
+237.19	13.7179110223129	3.09201607647039	0.816007700281356
+238.78	13.7188107718469	3.09201716796843	0.810418802445229
+234.72	13.7197105216999	3.09201825870072	0.815214043732676
+227.52	13.7206102718717	3.09201934866725	0.809996760423031
+232.05	13.7215100223621	3.09202043786802	0.809794432358034
+241.85	13.7224097731708	3.09202152630303	0.798128131598021
+232.99	13.7233095242977	3.09202261397228	0.818840359616086
+238.93	13.7242092757426	3.09202370087577	0.811852129625732
+239.28	13.7251090275051	3.0920247870135	0.805445821671331
+243.17	13.726008779585	3.09202587238546	0.803742747789569
+233.46	13.7269085319823	3.09202695699165	0.807751875777394
+232.32	13.7278082846965	3.09202804083208	0.813756226365127
+231.48	13.7287080377275	3.09202912390674	0.807761044703263
+227.75	13.7296077910751	3.09203020621563	0.811629870913259
+238.9	13.7305075447391	3.09203128775875	0.803290119622498
+233.67	13.7314072987192	3.09203236853609	0.800104905584973
+237.42	13.7323070530152	3.09203344854766	0.817803734841158
+238.22	13.7332068076268	3.09203452779346	0.807949613675836
+234.23	13.7341065625539	3.09203560627348	0.804820054827205
+232.58	13.7350063177963	3.09203668398772	0.810703861918136
+249.86	13.7359060733536	3.09203776093618	0.805368120032125
+240.09	13.7368058292257	3.09203883711886	0.796421072684278
+244.71	13.7377055854124	3.09203991253576	0.800410310737255
+237.68	13.7386053419134	3.09204098718687	0.806537928366485
+238.63	13.7395050987286	3.09204206107221	0.795743091859597
+244.91	13.7404048558576	3.09204313419175	0.805799392283846
+236.59	13.7413046133003	3.09204420654551	0.80461186267693
+228.37	13.7422043710564	3.09204527813348	0.805457199912738
+232.08	13.7431041291257	3.09204634895565	0.820543334899868
+228.38	13.744003887508	3.09204741901204	0.815703125309972
+232.1	13.7449036462031	3.09204848830264	0.821307925845588
+236	13.7458034052107	3.09204955682744	0.806059232702214
+235.29	13.7467031645307	3.09205062458644	0.80699357445681
+242.23	13.7476029241627	3.09205169157965	0.805752270580687
+238.87	13.7485026841066	3.09205275780707	0.804095596185189
+241.16	13.7494024443622	3.09205382326868	0.797707200669143
+249.39	13.7503022049291	3.09205488796449	0.79615928562245
+245.73	13.7512019658073	3.0920559518945	0.805407597881654
+249.49	13.7521017269965	3.09205701505871	0.812717910913693
+244.12	13.7530014884964	3.09205807745711	0.807217875519842
+239.05	13.7539012503068	3.0920591390897	0.80607918752545
+249.04	13.7548010124275	3.09206019995649	0.800257949186362
+241.54	13.7557007748583	3.09206126005748	0.821001729398676
+247.88	13.756600537599	3.09206231939265	0.802345481903493
+240.5	13.7575003006493	3.09206337796201	0.796900287581275
+251.75	13.758400064009	3.09206443576556	0.788098824453977
+253.04	13.7592998276779	3.09206549280329	0.792552955371807
+268.74	13.7601995916557	3.09206654907521	0.779681782277175
+263.02	13.7610993559423	3.09206760458132	0.793574383660664
+253.24	13.7619991205374	3.0920686593216	0.799131107447316
+251.04	13.7628988854408	3.09206971329607	0.802832651486217
+251.28	13.7637986506522	3.09207076650472	0.797530020084612
+244.97	13.7646984161715	3.09207181894754	0.79514101651127
+257.72	13.7655981819984	3.09207287062455	0.782941552564496
+235.49	13.7664979481327	3.09207392153573	0.796459993101184
+235.61	13.7673977145742	3.09207497168108	0.807515961442163
+244.1	13.7682974813226	3.09207602106061	0.795588034968789
+248.12	13.7691972483777	3.09207706967431	0.799984414572375
+253.17	13.7700970157393	3.09207811752218	0.804361888919693
+251.67	13.7709967834072	3.09207916460422	0.790966577827807
+251.12	13.7718965513811	3.09208021092043	0.801092013085329
+255.07	13.7727963196609	3.0920812564708	0.804511043349588
+255.11	13.7736960882463	3.09208230125534	0.815603201787591
+245.61	13.774595857137	3.09208334527405	0.812225368986552
+247	13.7754956263329	3.09208438852692	0.794187685666728
+241.42	13.7763953958337	3.09208543101395	0.804929821004806
+264.71	13.7772951656393	3.09208647273514	0.795540384887668
+254.46	13.7781949357493	3.09208751369049	0.786727303901957
+254.24	13.7790947061635	3.09208855388	0.793041195460655
+250.59	13.7799944768818	3.09208959330366	0.804879729295218
+241.13	13.780894247904	3.09209063196148	0.805524636681455
+247.9	13.7817940192297	3.09209166985346	0.800371121563889
+232.64	13.7826937908587	3.09209270697958	0.818920913625948
+228.5	13.7835935627909	3.09209374333986	0.805410140190971
+236.73	13.784493335026	3.09209477893429	0.805157996218187
+243.38	13.7853931075638	3.09209581376287	0.809541040476069
+247.86	13.7862928804041	3.09209684782559	0.812585198873103
+232.03	13.7871926535466	3.09209788112247	0.808803796432662
+234.67	13.7880924269911	3.09209891365348	0.81737088474177
+238.89	13.7889922007374	3.09209994541865	0.819999924130632
+227.93	13.7898919747853	3.09210097641795	0.823208209539004
+223.06	13.7907917491345	3.0921020066514	0.821483959850423
+220.59	13.7916915237849	3.09210303611898	0.807109332922982
+229.01	13.7925912987362	3.09210406482071	0.805596823096509
+232.89	13.7934910739881	3.09210509275657	0.803507922461723
+241.03	13.7943908495405	3.09210611992657	0.812899135624932
+231.33	13.7952906253931	3.0921071463307	0.808758484961314
+226.96	13.7961904015457	3.09210817196897	0.808209956860991
+231.86	13.7970901779981	3.09210919684136	0.798624779749882
+229.15	13.79798995475	3.0921102209479	0.805887612453228
+232.4	13.7988897318013	3.09211124428856	0.814383199577106
+233.83	13.7997895091516	3.09211226686335	0.80690121517074
+244.75	13.8006892868009	3.09211328867226	0.810520168965805
+236.43	13.7116138758726	3.09110393985157	0.811836984192078
+234.16	13.7125136224054	3.09110503638841	0.815548598515917
+230.38	13.7134133692589	3.09110613215972	0.814235551897053
+234.49	13.7143131164327	3.09110722716552	0.809195420437599
+236.7	13.7152128639266	3.09110832140579	0.819105965460244
+243.94	13.7161126117405	3.09110941488053	0.796338158100386
+247.76	13.7170123598741	3.09111050758975	0.792895329859685
+247.5	13.7179121083271	3.09111159953344	0.794282594105134
+233.92	13.7188118570994	3.0911126907116	0.79951939025673
+232.45	13.7197116061908	3.09111378112423	0.809799298634914
+232.06	13.720611355601	3.09111487077133	0.811101494885917
+229.51	13.7215111053297	3.09111595965289	0.814583431933993
+234.98	13.7224108553768	3.09111704776892	0.803006907761073
+230.14	13.7233106057421	3.09111813511941	0.810605360164978
+238.59	13.7242103564253	3.09111922170437	0.809716395692772
+234.36	13.7251101074261	3.09112030752378	0.812380602062247
+239.9	13.7260098587444	3.09112139257766	0.809413163936815
+237.71	13.72690961038	3.09112247686599	0.808876370996846
+232.67	13.7278093623326	3.09112356038878	0.823374710317711
+229.32	13.728709114602	3.09112464314603	0.812825877051818
+232.7	13.7296088671879	3.09112572513773	0.804069471576079
+238.56	13.7305086200902	3.09112680636389	0.80475571391885
+234.27	13.7314083733087	3.09112788682449	0.80871118006149
+235.62	13.732308126843	3.09112896651955	0.798674150940254
+237.32	13.733207880693	3.09113004544905	0.804604736953789
+233.03	13.7341076348584	3.09113112361301	0.801978160384931
+238.85	13.7350073893391	3.09113220101141	0.821660462297637
+237.68	13.7359071441348	3.09113327764425	0.799232986467341
+236.22	13.7368068992452	3.09113435351154	0.802777858952897
+238.31	13.7377066546703	3.09113542861327	0.809729755466589
+235.92	13.7386064104096	3.09113650294944	0.812827565552517
+240.28	13.7395061664631	3.09113757652005	0.806781971813123
+247.75	13.7404059228304	3.0911386493251	0.798033796588756
+240.78	13.7413056795114	3.09113972136459	0.809044062763193
+232.32	13.7422054365059	3.09114079263851	0.799667487530782
+233.23	13.7431051938135	3.09114186314687	0.80649648241206
+241.51	13.7440049514341	3.09114293288966	0.800164771791069
+239.26	13.7449047093676	3.09114400186689	0.801860075547429
+245.15	13.7458044676135	3.09114507007854	0.797511129516513
+247.68	13.7467042261718	3.09114613752462	0.808735475685795
+244.65	13.7476039850421	3.09114720420513	0.805303982148307
+240.2	13.7485037442243	3.09114827012007	0.80348855431127
+238.79	13.7494035037182	3.09114933526943	0.807365828605167
+245.22	13.7503032635235	3.09115039965321	0.801482402944073
+250.5	13.75120302364	3.09115146327142	0.806809279451839
+254.39	13.7521027840674	3.09115252612405	0.806937766966116
+249.74	13.7530025448057	3.0911535882111	0.810508873610101
+246.4	13.7539023058544	3.09115464953257	0.804171490268991
+237.15	13.7548020672134	3.09115571008846	0.81192893696434
+240.37	13.7557018288825	3.09115676987876	0.81923411179527
+241.15	13.7566015908615	3.09115782890348	0.820659356887068
+245	13.7575013531501	3.09115888716261	0.792458889501898
+246.17	13.7584011157481	3.09115994465615	0.794212671482537
+251.93	13.7593008786553	3.0911610013841	0.778495498703016
+261.26	13.7602006418715	3.09116205734646	0.797938634863625
+246.25	13.7611004053963	3.09116311254323	0.80152542985553
+244.97	13.7620001692297	3.09116416697441	0.803723634859459
+252.82	13.7628999333714	3.09116522064	0.804614384833002
+257.94	13.7637996978211	3.09116627353998	0.796186593300482
+246.34	13.7646994625787	3.09116732567438	0.794756394064432
+248.44	13.7655992276439	3.09116837704317	0.787591472583286
+242.29	13.7664989930165	3.09116942764636	0.791893071996895
+238.78	13.7673987586962	3.09117047748395	0.796521977269615
+252.9	13.7682985246829	3.09117152655594	0.785813595511197
+249.23	13.7691982909763	3.09117257486233	0.797433773515778
+255.88	13.7700980575763	3.09117362240311	0.79885010363119
+254.36	13.7709978244824	3.09117466917829	0.812417816771456
+249.67	13.7718975916947	3.09117571518786	0.804105058141545
+258.38	13.7727973592127	3.09117676043182	0.795246308926622
+249.98	13.7736971270364	3.09117780491017	0.806992165789854
+235.28	13.7745968951654	3.09117884862291	0.807623009893206
+230.86	13.7754966635996	3.09117989157003	0.811973140164749
+238.38	13.7763964323387	3.09118093375155	0.804998304645272
+249.6	13.7772962013825	3.09118197516745	0.802064211148316
+256.42	13.7781959707307	3.09118301581773	0.800760398448787
+249.24	13.7790957403833	3.09118405570239	0.798033034828942
+247.38	13.7799955103399	3.09118509482144	0.805660064926313
+242.46	13.7808952806002	3.09118613317486	0.818358961009985
+244.26	13.7817950511642	3.09118717076267	0.808102446543615
+234.57	13.7826948220315	3.09118820758485	0.822447249821708
+231.49	13.783594593202	3.0911892436414	0.813507381204616
+241.05	13.7844943646754	3.09119027893233	0.816102568016179
+245.53	13.7853941364514	3.09119131345764	0.802489177489177
+242.42	13.78629390853	3.09119234721732	0.80947173220484
+240.27	13.7871936809107	3.09119338021137	0.818192174926804
+234.37	13.7880934535935	3.09119441243978	0.810310553882955
+243.43	13.7889932265781	3.09119544390257	0.824775406515114
+240.13	13.7898929998642	3.09119647459972	0.817893614005774
+225.26	13.7907927734517	3.09119750453124	0.810929965176969
+223.21	13.7916925473403	3.09119853369713	0.815141174549958
+230.56	13.7925923215298	3.09119956209737	0.808854767622488
+241.17	13.79349209602	3.09120058973198	0.805927278569553
+244.89	13.7943918708107	3.09120161660095	0.802890208070996
+233.33	13.7952916459015	3.09120264270428	0.805711095557111
+229.51	13.7961914212924	3.09120366804197	0.801037471844925
+230.36	13.797091196983	3.09120469261401	0.81666114409131
+228.59	13.7979909729732	3.09120571642041	0.817709548227424
+236.84	13.7988907492627	3.09120673946117	0.823651149474756
+247.86	13.7997905258513	3.09120776173627	0.829996382030295
+251.43	13.8006903027388	3.09120878324573	0.812469534829657
+240.99	13.7116149668974	3.09019946514424	0.82035162947213
+242.14	13.7125147126689	3.09020056135963	0.805934248464335
+232.96	13.7134144587609	3.09020165680972	0.807875413217359
+234.82	13.7143142051733	3.09020275149451	0.788217352385373
+238.36	13.7152139519058	3.090203845414	0.808386846203446
+242.85	13.7161136989583	3.09020493856819	0.807059782485641
+240.69	13.7170134463304	3.09020603095708	0.796908918863759
+247.9	13.7179131940221	3.09020712258067	0.806319104268719
+238.73	13.718812942033	3.09020821343895	0.793832262883961
+233.63	13.7197126903629	3.09020930353192	0.822353117868355
+239.88	13.7206124390117	3.09021039285959	0.816818803855813
+236.23	13.721512187979	3.09021148142194	0.80336425978217
+232.71	13.7224119372647	3.09021256921899	0.810224106408629
+236.13	13.7233116868685	3.09021365625072	0.807794623609299
+233.11	13.7242114367903	3.09021474251715	0.804658736041411
+231.93	13.7251111870297	3.09021582801825	0.814492458693049
+233.29	13.7260109375866	3.09021691275404	0.817942991255631
+231.2	13.7269106884607	3.09021799672452	0.797499211578292
+229.59	13.7278104396519	3.09021907992967	0.794688429975651
+225.23	13.7287101911599	3.09022016236951	0.798403022237486
+234.61	13.7296099429844	3.09022124404402	0.795765380066301
+240.9	13.7305096951252	3.09022232495321	0.800883973440433
+236.7	13.7314094475822	3.09022340509708	0.806764375204007
+231.19	13.7323092003551	3.09022448447562	0.803002517379924
+235.62	13.7332089534437	3.09022556308884	0.815006964333224
+233.18	13.7341087068477	3.09022664093673	0.814725209546256
+239.02	13.7350084605669	3.09022771801928	0.811421880280085
+232.3	13.7359082146012	3.09022879433651	0.796825119549315
+235.32	13.7368079689502	3.09022986988841	0.797821048535805
+235.79	13.7377077236138	3.09023094467497	0.805107537936423
+246.08	13.7386074785917	3.0902320186962	0.800765489195439
+238.79	13.7395072338837	3.09023309195209	0.805320885704776
+240.83	13.7404069894896	3.09023416444265	0.804089222284911
+249.5	13.7413067454091	3.09023523616787	0.794404482772324
+239.05	13.7422065016421	3.09023630712775	0.803512782472883
+224.76	13.7431062581883	3.09023737732228	0.802945922462659
+240.36	13.7440060150475	3.09023844675148	0.796989058511762
+239.55	13.7449057722195	3.09023951541533	0.792972789692295
+242.56	13.745805529704	3.09024058331383	0.795159161396377
+239.79	13.7467052875008	3.09024165044699	0.805894060686639
+240.56	13.7476050456097	3.0902427168148	0.809839694776342
+236.15	13.7485048040304	3.09024378241726	0.806170138817901
+239.35	13.7494045627628	3.09024484725438	0.78505967188063
+242.66	13.7503043218067	3.09024591132614	0.804097209549577
+239.9	13.7512040811617	3.09024697463254	0.813702818475292
+250.16	13.7521038408277	3.0902480371736	0.802220944328743
+245.15	13.7530036008044	3.0902490989493	0.803555223821964
+236.03	13.7539033610917	3.09025015995964	0.811565237536173
+237.97	13.7548031216893	3.09025122020462	0.812192115801867
+243.99	13.7557028825969	3.09025227968424	0.810093512520842
+245.33	13.7566026438144	3.0902533383985	0.808311084780451
+247.68	13.7575024053415	3.0902543963474	0.799649172711326
+241.45	13.7584021671781	3.09025545353094	0.809487210656544
+256.95	13.7593019293238	3.09025650994911	0.794959465736155
+249.52	13.7602016917785	3.09025756560192	0.797877431523238
+248.7	13.7611014545419	3.09025862048936	0.79637762665787
+241.35	13.7620012176138	3.09025967461143	0.797339387647099
+248.72	13.762900980994	3.09026072796813	0.802027195258098
+260.61	13.7638007446822	3.09026178055946	0.792822940682083
+248.18	13.7647005086783	3.09026283238541	0.792407316525399
+246.75	13.765600272982	3.090263883446	0.798937190346812
+245.8	13.7665000375931	3.0902649337412	0.795787905575746
+245.28	13.7673998025114	3.09026598327103	0.781455917380948
+257.93	13.7682995677366	3.09026703203549	0.792118206981699
+250.69	13.7691993332685	3.09026808003456	0.785976416546697
+255.68	13.7700990991069	3.09026912726826	0.789887545105202
+252.88	13.7709988652516	3.09027017373657	0.804038239083253
+249.71	13.7718986317024	3.0902712194395	0.803220537129862
+257.56	13.7727983984589	3.09027226437704	0.794074801406852
+242.43	13.7736981655211	3.0902733085492	0.809004807936812
+228.47	13.7745979328886	3.09027435195598	0.820061705863594
+228.03	13.7754977005613	3.09027539459736	0.805904275365353
+245.12	13.7763974685389	3.09027643647336	0.807300043225477
+248.39	13.7772972368212	3.09027747758396	0.813362156526805
+246.73	13.778197005408	3.09027851792918	0.806195928703308
+238.55	13.779096774299	3.090279557509	0.807087740505692
+253.64	13.7799965434941	3.09028059632343	0.801797794892203
+245.85	13.7808963129929	3.09028163437246	0.802426588057042
+242.47	13.7817960827954	3.09028267165609	0.80792303908849
+239.11	13.7826958529012	3.09028370817432	0.821399173916735
+231.23	13.7835956233102	3.09028474392716	0.81486204683991
+247.42	13.784495394022	3.09028577891459	0.801143672931505
+243.22	13.7853951650366	3.09028681313663	0.807472411614449
+241.76	13.7862949363536	3.09028784659326	0.811202891269721
+240.56	13.7871947079729	3.09028887928448	0.817998412107869
+237.62	13.7880944798941	3.0902899112103	0.811845739967846
+240.2	13.7889942521172	3.09029094237071	0.832094158771553
+239.54	13.7898940246418	3.09029197276571	0.803145338435644
+226.23	13.7907937974678	3.09029300239531	0.812995157356084
+234.6	13.7916935705949	3.09029403125949	0.806164493803316
+239.12	13.7925933440229	3.09029505935826	0.802294205344932
+248.46	13.7934931177515	3.09029608669162	0.795347183821787
+244.62	13.7943928917806	3.09029711325956	0.807811516769395
+237.11	13.7952926661099	3.09029813906208	0.817727346711001
+219.33	13.7961924407393	3.09029916409919	0.819295755447029
+236.43	13.7970922156684	3.09030018837088	0.817193117766897
+238.2	13.797991990897	3.09030121187715	0.805755965438865
+239.55	13.798891766425	3.090302234618	0.80743622413318
+256.01	13.7997915422521	3.09030325659343	0.815180205266927
+251.64	13.8006913183781	3.09030427780343	0.80700610783091
+229.55	13.7116160576014	3.08929499042109	0.815927888624122
+232.19	13.7125158026117	3.08929608631503	0.809789570351452
+224.28	13.7134155479425	3.08929718144389	0.810020302679792
+218.38	13.7143152935937	3.08929827580769	0.815727230594665
+240.51	13.715215039565	3.0892993694064	0.793123458581169
+237.25	13.7161147858563	3.08930046224004	0.812044906419276
+246.57	13.7170145324673	3.0893015543086	0.802237714883728
+242.33	13.7179142793978	3.08930264561208	0.792834319436163
+248.4	13.7188140266475	3.08930373615048	0.797695569440074
+243.71	13.7197137742162	3.0893048259238	0.808414094880052
+236.01	13.7206135221038	3.08930591493203	0.819999779519573
+245.97	13.7215132703099	3.08930700317518	0.790119084874738
+246.65	13.7224130188344	3.08930809065325	0.804043487272248
+230.03	13.723312767677	3.08930917736622	0.810043799124018
+233.85	13.7242125168376	3.08931026331411	0.805153088845668
+228.7	13.7251122663158	3.08931134849691	0.799879893372966
+223.54	13.7260120161115	3.08931243291461	0.805625800795738
+228.45	13.7269117662245	3.08931351656723	0.799747453489351
+232.34	13.7278115166544	3.08931459945475	0.805605150458962
+233.7	13.7287112674012	3.08931568157717	0.796003048522314
+239.25	13.7296110184645	3.0893167629345	0.799075231396384
+247.08	13.7305107698441	3.08931784352673	0.797101904698308
+233.96	13.7314105215399	3.08931892335386	0.804868257193419
+235.83	13.7323102735516	3.08932000241589	0.809044254489498
+234.97	13.7332100258789	3.08932108071281	0.806800687664106
+236.09	13.7341097785217	3.08932215824464	0.806258829085195
+238.08	13.7350095314798	3.08932323501136	0.809695079888511
+230.75	13.7359092847528	3.08932431101297	0.805458092933285
+236.67	13.7368090383406	3.08932538624947	0.799049151790846
+244.58	13.7377087922429	3.08932646072087	0.801181570722855
+240.95	13.7386085464596	3.08932753442716	0.793324721863411
+242.8	13.7395083009904	3.08932860736833	0.807113903446866
+240.65	13.7404080558351	3.08932967954439	0.808980540226547
+252.93	13.7413078109934	3.08933075095534	0.799096191091027
+240.39	13.7422075664652	3.08933182160117	0.795246724048254
+233.2	13.7431073222502	3.08933289148189	0.799465229488297
+243.09	13.7440070783481	3.08933396059749	0.799829666089557
+245.05	13.7449068347588	3.08933502894797	0.801686929850912
+244.84	13.7458065914821	3.08933609653333	0.803598670211712
+238.05	13.7467063485177	3.08933716335356	0.805478783937571
+243.54	13.7476061058653	3.08933822940867	0.808654736735149
+246.47	13.7485058635249	3.08933929469866	0.803937941383833
+236.57	13.749405621496	3.08934035922353	0.795263388114729
+238.45	13.7503053797786	3.08934142298326	0.799478301322523
+240.44	13.7512051383724	3.08934248597787	0.812258322247346
+241.73	13.7521048972772	3.08934354820734	0.802059113928082
+240.44	13.7530046564927	3.08934460967169	0.816870644261308
+240.1	13.7539044160187	3.0893456703709	0.819512410175021
+243.78	13.754804175855	3.08934673030498	0.800793870580633
+235.42	13.7557039360014	3.08934778947393	0.806453695521473
+244.45	13.7566036964577	3.08934884787774	0.802636719930074
+247.95	13.7575034572236	3.08934990551641	0.801756528819869
+244.46	13.7584032182988	3.08935096238994	0.797846271081076
+248.5	13.7593029796833	3.08935201849833	0.804278812974465
+244.12	13.7602027413767	3.08935307384158	0.808916346373018
+238.45	13.7611025033789	3.08935412841969	0.801174579218478
+240.39	13.7620022656895	3.08935518223265	0.81026928149062
+241.73	13.7629020283085	3.08935623528047	0.80523587309033
+247.45	13.7638017912355	3.08935728756314	0.8062458918902
+240.04	13.7647015544703	3.08935833908066	0.809991343746832
+239.59	13.7656013180128	3.08935938983303	0.808963465088155
+243.88	13.7665010818626	3.08936043982025	0.798495321622938
+256.03	13.7674008460196	3.08936148904233	0.79006788195551
+243.66	13.7683006104835	3.08936253749924	0.789433387636698
+242.63	13.7692003752542	3.08936358519101	0.809001174539713
+240.7	13.7701001403313	3.08936463211761	0.799121705889283
+242.53	13.7709999057148	3.08936567827906	0.798083990686864
+248.27	13.7718996714042	3.08936672367535	0.810274370230963
+251.33	13.7727994373995	3.08936776830648	0.802474215384129
+232.11	13.7736992037004	3.08936881217245	0.808259587020649
+232.32	13.7745989703066	3.08936985527326	0.813367121187447
+235.12	13.7754987372181	3.08937089760891	0.814957466918715
+244.63	13.7763985044344	3.08937193917939	0.808755561484318
+236.07	13.7772982719554	3.0893729799847	0.824709811248584
+237.69	13.7781980397809	3.08937402002485	0.811220648031232
+235.16	13.7790978079107	3.08937505929982	0.819760336359234
+237.52	13.7799975763445	3.08937609780963	0.815774586678555
+234.72	13.7808973450821	3.08937713555427	0.822390289793584
+239.01	13.7817971141232	3.08937817253373	0.81059286697826
+237.01	13.7826968834678	3.08937920874802	0.827556259697598
+231	13.7835966531154	3.08938024419714	0.814163760971504
+238.92	13.784496423066	3.08938127888108	0.809629840125502
+243.67	13.7853961933193	3.08938231279984	0.818684700316627
+237.8	13.786295963875	3.08938334595342	0.821450619607607
+239.14	13.787195734733	3.08938437834182	0.813330233279082
+238.26	13.7880955058929	3.08938540996504	0.812077927230885
+229.87	13.7889952773547	3.08938644082308	0.822445096923031
+228.06	13.789895049118	3.08938747091593	0.825128780403618
+235.08	13.7907948211827	3.0893885002436	0.819054446666415
+232.1	13.7916945935485	3.08938952880608	0.825441298034367
+242.5	13.7925943662152	3.08939055660337	0.807354815933473
+251.48	13.7934941391826	3.08939158363548	0.792630563636647
+236.59	13.7943939124504	3.08939260990239	0.805452978341491
+235.81	13.7952936860184	3.08939363540411	0.810522000654324
+221.18	13.7961934598864	3.08939466014064	0.81823117345099
+234.21	13.7970932340542	3.08939568411198	0.814564687668025
+235.43	13.7979930085216	3.08939670731812	0.807905486583901
+234.22	13.7988927832882	3.08939772975906	0.809455691014441
+246.08	13.799792558354	3.08939875143481	0.808684324455036
+251.94	13.8006923337187	3.08939977234536	0.827205483763792
Binary file test-data/S2A_MSIL2A_20200306T015621_N0214_R117_T51JXN_20200306T034744.zip has changed
Binary file test-data/S2A_Subset has changed
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test-data/S2A_Subset.hdr	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,35 @@
+ENVI
+description = {
+  File Resize Result, x resize factor: 1.000000, y resize factor: 1.000000.
+  [Thu Jul 11 09:00:28 2019]}
+samples = 1000
+lines   = 1000
+bands   = 10
+header offset = 0
+file type = ENVI Standard
+data type = 2
+interleave = bil
+sensor type = Unknown
+byte order = 0
+x start = 998
+y start = 766
+map info = {UTM, 1.000, 1.000, 356780.000, 351500.000, 1.0000000000e+001, 1.0000000000e+001, 33, North, WGS-84, units=Meters}
+coordinate system string = {PROJCS["WGS_1984_UTM_Zone_33N",GEOGCS["GCS_WGS_1984",DATUM["D_WGS_1984",SPHEROID["WGS_1984",6378137.0,298.257223563]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Transverse_Mercator"],PARAMETER["false_easting",500000.0],PARAMETER["false_northing",0.0],PARAMETER["central_meridian",15.0],PARAMETER["scale_factor",0.9996],PARAMETER["latitude_of_origin",0.0],UNIT["Meter",1.0]]}
+wavelength units = Nanometers
+z plot range = {-32768.00, 32767.00}
+data ignore value = 0
+default stretch = 0.000000 1000.000000 linear
+band names = {
+ Resize (band 02:S2A_T33NUD_20180104_Subset), 
+ Resize (band 03:S2A_T33NUD_20180104_Subset), 
+ Resize (band 04:S2A_T33NUD_20180104_Subset), 
+ Resize (band 05:S2A_T33NUD_20180104_Subset), 
+ Resize (band 06:S2A_T33NUD_20180104_Subset), 
+ Resize (band 07:S2A_T33NUD_20180104_Subset), 
+ Resize (band 08:S2A_T33NUD_20180104_Subset), 
+ Resize (band 08A:S2A_T33NUD_20180104_Subset), 
+ Resize (band 11:S2A_T33NUD_20180104_Subset), 
+ Resize (band 12:S2A_T33NUD_20180104_Subset)}
+wavelength = {
+  496.600006,  560.000000,  664.500000,  703.900024,  740.200012,  782.500000,
+  835.099976,  864.799988, 1613.699951, 2202.399902}
Binary file test-data/S2A_T33NUD_Plots.zip has changed
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/val_metadata.r	Mon Jan 09 13:39:08 2023 +0000
@@ -0,0 +1,41 @@
+#Rscript
+
+############################################
+##  Validate ISO 19139 metadata documen   ##
+############################################
+
+#####Packages : ncdf4,
+#               geometa,
+#               httr
+#               xml
+#               xml2
+library(geometa)
+
+#####Load arguments
+
+args <- commandArgs(trailingOnly = TRUE)
+
+if (length(args) < 1) {
+    stop("This tool needs at least 1 argument")
+}else {
+    input_data <- args[1]
+}
+
+##------------------------------------------##
+##      Read ISO 19139 from a file or url   ##
+##------------------------------------------##
+
+# Test depuis catalogue Indores http://indores-tmp.in2p3.fr/geonetwork/srv/fre/catalog.search#/metadata/112ebeea-e79c-422c-8a43-a5a8323b446b
+# <!--ISO 19139 XML compliance: NO-->
+input_data <- xml2::read_xml(input_data)
+
+dir.create("results")
+file.create("results/meta.xml")
+
+xml2::write_xml(input_data, file = "results/meta.xml")
+
+md <- geometa::readISO19139("results/meta.xml")
+
+
+# validate iso
+cat("\nValidation of metadata according to ISO 19139\n", md$validate(), file = "Metadata_validation.txt", fill = 1, append = FALSE)