[gradsusr] Problem with multiple surface data calculation. It becomes Entire Grid Undefined.
Muhammad Yunus Ahmad Mazuki
ukm.yunus at gmail.com
Fri Feb 23 04:48:33 EST 2018
I found out that the problem lies in one of the data file. One of the
file has missing(?) data. ncview was also unable to display the
missing data. So case closed.
On Tue, Feb 20, 2018 at 3:36 PM, Muhammad Yunus Ahmad Mazuki
<ukm.yunus at gmail.com> wrote:
> A brief description of the problem
> Hello. I'm having problem in calculating the average from multiple
> surface data. The data is "NOAA Climate Data Record of Daily Mean
> Upward Longwave Flux at Top of the Atmosphere". I do not plan to use
> the Template capability because of 'packing issue'. While the data
> mentioned before does not have packing, other data particularly ECMWF
> does. The packing issue is that GrADS would only use the packing
> parameter from the first file and apply it to the rest of the files in
> the Template, but the packing parameters are different in each file.
> Therefore leads to mistaken calculation.
>
> The script snippet below demonstrate what I'm trying to achieve. Open
> 1 data file, create an empty grid, the close it. Then open each year
> data file, calculate a grid value and add it to the empty grid. Then
> find the average of the cumulated empty grid. Then display it. That's
> when it fails, GrADS says "Cannot contour grid - all undefined
> values". I can display an empty grid (it fills the display with one
> colour) and each individual yearly grid if I labelled them. But
> somehow when I add the yearly grid to the empty grid, I cannot display
> it (the display will put up a line saying "Entire Grid Undefine").
>
> I'm asking this here, because the same script when used with data that
> contain multiple levels, it works as it intended to. It even works
> with multiple level vector data. But the script doesn't work with
> multiple surface data.
>
> The simplest possible script that illustrates the problem
> *This to make empty grid.
> 'sdfopen olr-daily_v01r02_19810101_19811231.nc'
> 'set lev 0'
> 'pentadave=olr-olr'
> 'close 1'
>
> *This is to calculate sum
> year.i=1
> year=1981
> while(year.i<=34)
> 'sdfopen olr-daily_v01r02_'year'0101_'year'1231.nc'
> 'set lev 0'
> 'pentad=ave(olr,time=14aug,time=18aug)'
> 'pentadave=pentadave+pentad'
> 'close 1'
> year.i=year.i+1
> year=year+1
> endwhile
>
> *This is to calculate the average
> 'sdfopen olr-daily_v01r02_19810101_19811231.nc'
> 'set lev 0'
> 'pentadave=pentadave/34'
> 'close 1'
>
> *This is to display. The previous close is because there are other
> data source usually.
> 'sdfopen olr-daily_v01r02_19810101_19811231.nc'
> 'd pentadave'
>
> The error messages from GrADS
> Cannot contour grid - all undefined values
>
> I really don't know what's the problem here.
>
> I tried this with two version of grads, the opengrads 2.1.a2.oga.1 and
> grads 2.2.0 (with -d X11 -h gxdummy)
>
> Config: v2.1.a2.oga.1 little-endian readline grib2 netcdf hdf4-sds
> hdf5 opendap-grids,stn athena geotiff shapefile cairo
> Grid Analysis and Display System (GrADS) Version 2.1.a2.oga.1
> Copyright (c) 1988-2013 by the Institute for Global Environment and
> Society (IGES)
> This program is distributed WITHOUT ANY WARRANTY
> See file COPYRIGHT for more information.
>
> Built Wed Jun 4 10:00:51 EDT 2014 for x86_64-unknown-linux-gnu
>
> This version of GrADS has been configured with the following options:
> o Built on a LITTLE ENDIAN machine
> o Athena Widget GUI ENABLED
> o Command line editing ENABLED
> http://tiswww.case.edu/php/chet/readline/rltop.html
> o GRIB2 interface ENABLED
> http://www.ijg.org
> http://www.ece.uvic.ca/~mdadams/jasper
> http://www.nco.ncep.noaa.gov/pmb/codes/GRIB2
> g2clib-1.4.0
> o NetCDF interface ENABLED
> http://www.unidata.ucar.edu/software/netcdf
> netcdf 4.3.2 of May 1 2014 23:24:51 $
> o OPeNDAP gridded data interface ENABLED
> o OPeNDAP station data interface ENABLED
> http://iges.org/grads/gadoc/supplibs.html
> libgadap 2.0.oga.1
> o HDF4 and HDF5 interfaces ENABLED
> http://hdfgroup.org
> HDF 4.2r5
> HDF5 1.8.12
> o GeoTIFF and KML/TIFF output ENABLED
> http://www.libtiff.org
> http://geotiff.osgeo.org
> o KML contour output ENABLED
> o Shapefile interface ENABLED
> http://shapelib.maptools.org
> o Cairo graphics interface ENABLED
> http://cairographics.org
> http://cgit.freedesktop.org/pixman
> http://www.freetype.org/index2.html
> http://www.freedesktop.org/wiki/Software/fontconfig
> Cairo 1.12.16
> Pixman 0.28.0
> Freetype 2.3.8
>
> ga-> q config
> Config: v2.2.0 little-endian readline grib2 netcdf hdf4-sds hdf5
> opendap-grids,stn geotiff shapefile
> Grid Analysis and Display System (GrADS) Version 2.2.0
> Copyright (C) 1988-2017 by George Mason University
> GrADS comes with ABSOLUTELY NO WARRANTY
> See file COPYRIGHT for more information
>
> Configured on 11/30/17 for i686-pc-linux-gnu
>
> This build of GrADS has the following features:
> -+- Byte order is LITTLE ENDIAN
> -+- Athena Widget GUI DISABLED
> -+- Command line editing ENABLED
> -+- GRIB2 interface ENABLED g2clib-1.6.0
> -+- NetCDF interface ENABLED netcdf-4.3.3
> -+- OPeNDAP gridded data interface ENABLED
> -+- OPeNDAP station data interface ENABLED gadap 2.1
> -+- HDF4 interface ENABLED hdf-4.2r3
> -+- HDF5 interface ENABLED hdf5-1.8.11
> -+- KML contour output ENABLED
> -+- GeoTIFF and KML/TIFF output ENABLED
> -+- Shapefile interface ENABLED
> The 'q gxconfig' command returns Graphics configuration information
>
> Platform: Both on Ubuntu 16.04 64 bit
>
> The output from running "ncdump -c" on your NetCDF file
> ncdump -c olr-daily_v01r02_19810101_19811231.nc
> netcdf olr-daily_v01r02_19810101_19811231 {
> dimensions:
> time = 365 ;
> lat = 180 ;
> lon = 360 ;
> bnds = 2 ;
> variables:
> float olr(time, lat, lon) ;
> olr:long_name = "NOAA Climate Data Record of Daily Mean Upward
> Longwave Flux at Top of the Atmosphere" ;
> olr:standard_name = "toa_outgoing_longwave_flux" ;
> olr:units = "W m-2" ;
> olr:_FillValue = 0.f ;
> olr:missing_value = 0.f ;
> olr:coordinates = "time lat lon" ;
> olr:cell_methods = "time: mean area: mean" ;
> olr:valid_min = 50.f ;
> olr:valid_max = 500.f ;
> float lon(lon) ;
> lon:long_name = "longitude" ;
> lon:standard_name = "longitude" ;
> lon:units = "degrees_east" ;
> lon:axis = "X" ;
> lon:bounds = "lon_bounds" ;
> float lat(lat) ;
> lat:long_name = "latitude" ;
> lat:standard_name = "latitude" ;
> lat:units = "degrees_north" ;
> lat:axis = "Y" ;
> lat:bounds = "lat_bounds" ;
> float time(time) ;
> time:long_name = "reference time" ;
> time:standard_name = "time" ;
> time:units = "days since 1970-01-01 00:00:00" ;
> time:axis = "T" ;
> time:bounds = "time_bounds" ;
> time:calendar = "standard" ;
> float lon_bounds(lon, bnds) ;
> lon_bounds:valid_min = 0.f ;
> lon_bounds:valid_max = 360.f ;
> float lat_bounds(lat, bnds) ;
> lat_bounds:valid_min = -90.f ;
> lat_bounds:valid_max = 90.f ;
> float time_bounds(time, bnds) ;
> time_bounds:valid_min = 0.f ;
> time_bounds:valid_max = 32768.f ;
>
> // global attributes:
> :conventions = "CF-1.6" ;
> :title = "Daily OLR CDR Product Ver01Rev02" ;
> :source = "NOAA Archive of HIRS L1B data from TIROS-N Series
> and MetOp-A/B, Gridsat CDR" ;
> :reference = "doi:10.1175/2007JTECHA989.1
> doi:10.1175/1520-0426(1989)006<0706:ATFEOL>2.0.CO;2
> doi:10.1175/1520-0426(1994)011<0357:VOATFE>2.0.CO;2" ;
> :history = "2014-06-13T12:13:58Z - generated by software
> package Ver01Rev02." ;
> :comment = "Final TCDR" ;
> :Metadata_Conventions = "Unidata Dataset Discovery v1.0, CF-1.6" ;
> :standard_name_vocabulary = "CF Standard Name Table (v26, 26
> November 2013)" ;
> :id = "olr-daily_v01r02_19810101_19811231.nc" ;
> :naming_authority = "gov.noaa.ncdc" ;
> :date_created = "2014-06-13T12:13:58Z" ;
> :date_modified = "2014-06-13T12:13:58Z" ;
> :license = "Users must cite this dataset when used as a
> source. No other constraints on data access or use." ;
> :summary = "The product contains the 1-degree by 1-degree
> daily mean outgoing longwave radiation flux at the top of the
> atmosphere derived from HIRS radiance observations onboard NOAA
> TIROS-N series and MetOp satellites. The OLR retrieval uses
> multispectral regression models (Ellingson et al., 1989, Lee, 2014).
> The CDR processing includes HIRS radiance calibration, inter-satellite
> HIRS OLR calibration, normalization of geostationary-based OLR
> retrieval to HIRS, and grid-based 7-day boxcar temporal integration
> assisted with Imager-based OLR derived from Gridsat CDR data (Lee,
> 2014)." ;
> :keywords = "Earth Science > Atmosphere > Atmospheric
> Radiation > Outgoing Longwave Radiation" ;
> :keywords_vocabulary = "NASA Global Change Master Directory
> (GCMD) Earth Science Keywords, Version 8.0.0.0" ;
> :cdm_data_type = "Grid" ;
> :project = "NOAA Daily OLR TCDR" ;
> :processing_level = "NOAA Level 3" ;
> :creator_name = "Hai-Tien Lee" ;
> :creator_URL = "http://cicsmd.umd.edu/" ;
> :creator_email = "lee at umd.edu" ;
> :institution = "UMD/ESSIC > Earth System Science
> Interdisciplinary Center, University of Maryland" ;
> :geospatial_lat_min = "-90.0" ;
> :geospatial_lat_max = "90.0" ;
> :geospatial_lon_min = "0.0" ;
> :geospatial_lon_max = "360.0" ;
> :geospatial_lat_units = "degree" ;
> :geospatial_lat_resolution = "1.0" ;
> :geospatial_lon_units = "degree" ;
> :geospatial_lon_resolution = "1.0" ;
> :time_coverage_start = "1981-01-01T00:00:00.00Z" ;
> :time_coverage_end = "1981-12-31T23:59:59.99Z" ;
> :time_coverage_duration = "P365D" ;
> :time_coverage_resolution = "P1D" ;
> :contributor_name = "Hai-Tien Lee" ;
> :contributor_role = "principalinvestigator" ;
> :acknowledgment = "This project was supported in part by a
> grant from the NOAA Climate Data Record (CDR) Program for Satellites"
> ;
> :cdr_program = "NOAA Climate Data Record Program for satellites" ;
> :cdr_variable = "olr" ;
> :software_version_id = "Ver01Rev02" ;
> :Metadata_Link = "gov.noaa.ncdc:C00875" ;
> :product_version = "Ver01Rev02" ;
> :platform = "TIROS-N > Television Infrared Observation
> Satellite - N, NOAA-6 > National Oceanic Atmospheric Administration -
> 6, NOAA-7 > National Oceanic Atmospheric Administration - 7, NOAA-8 >
> National Oceanic Atmospheric Administration - 8, NOAA-9 > National
> Oceanic Atmospheric Administration - 9, NOAA-10 > National Oceanic
> Atmospheric Administration - 10, NOAA-11 > National Oceanic
> Atmospheric Administration - 11, NOAA-12 > National Oceanic
> Atmospheric Administration - 12, NOAA-14 > National Oceanic
> Atmospheric Administration - 14, NOAA-15 > National Oceanic
> Atmospheric Administration - 15, NOAA-16 > National Oceanic
> Atmospheric Administration - 16, NOAA-17 > National Oceanic
> Atmospheric Administration - 17, NOAA-18 > National Oceanic
> Atmospheric Administration - 18, NOAA-19 > National Oceanic
> Atmospheric Administration - 19, MetOp-A > Meteorological Operational
> Polar Satellite - A, MetOp-B > Meteorological Operational Polar
> Satellite - B" ;
> :sensor = "HIRS-2 > High Resolution Infra-red Sounder/2,
> HIRS-2I > High Resolution Infra-red Sounder/2I, HIRS-3 > High
> Resolution Infra-red Sounder/3, HIRS-4 > High Resolution Infra-red
> Sounder/4" ;
> :spatial_resolution = "1.0 by 1.0 degree equal angle" ;
> data:
>
> lon = 0.5, 1.5, 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5, 10.5, 11.5, 12.5,
> 13.5, 14.5, 15.5, 16.5, 17.5, 18.5, 19.5, 20.5, 21.5, 22.5, 23.5, 24.5,
> 25.5, 26.5, 27.5, 28.5, 29.5, 30.5, 31.5, 32.5, 33.5, 34.5, 35.5, 36.5,
> 37.5, 38.5, 39.5, 40.5, 41.5, 42.5, 43.5, 44.5, 45.5, 46.5, 47.5, 48.5,
> 49.5, 50.5, 51.5, 52.5, 53.5, 54.5, 55.5, 56.5, 57.5, 58.5, 59.5, 60.5,
> 61.5, 62.5, 63.5, 64.5, 65.5, 66.5, 67.5, 68.5, 69.5, 70.5, 71.5, 72.5,
> 73.5, 74.5, 75.5, 76.5, 77.5, 78.5, 79.5, 80.5, 81.5, 82.5, 83.5, 84.5,
> 85.5, 86.5, 87.5, 88.5, 89.5, 90.5, 91.5, 92.5, 93.5, 94.5, 95.5, 96.5,
> 97.5, 98.5, 99.5, 100.5, 101.5, 102.5, 103.5, 104.5, 105.5, 106.5, 107.5,
> 108.5, 109.5, 110.5, 111.5, 112.5, 113.5, 114.5, 115.5, 116.5, 117.5,
> 118.5, 119.5, 120.5, 121.5, 122.5, 123.5, 124.5, 125.5, 126.5, 127.5,
> 128.5, 129.5, 130.5, 131.5, 132.5, 133.5, 134.5, 135.5, 136.5, 137.5,
> 138.5, 139.5, 140.5, 141.5, 142.5, 143.5, 144.5, 145.5, 146.5, 147.5,
> 148.5, 149.5, 150.5, 151.5, 152.5, 153.5, 154.5, 155.5, 156.5, 157.5,
> 158.5, 159.5, 160.5, 161.5, 162.5, 163.5, 164.5, 165.5, 166.5, 167.5,
> 168.5, 169.5, 170.5, 171.5, 172.5, 173.5, 174.5, 175.5, 176.5, 177.5,
> 178.5, 179.5, 180.5, 181.5, 182.5, 183.5, 184.5, 185.5, 186.5, 187.5,
> 188.5, 189.5, 190.5, 191.5, 192.5, 193.5, 194.5, 195.5, 196.5, 197.5,
> 198.5, 199.5, 200.5, 201.5, 202.5, 203.5, 204.5, 205.5, 206.5, 207.5,
> 208.5, 209.5, 210.5, 211.5, 212.5, 213.5, 214.5, 215.5, 216.5, 217.5,
> 218.5, 219.5, 220.5, 221.5, 222.5, 223.5, 224.5, 225.5, 226.5, 227.5,
> 228.5, 229.5, 230.5, 231.5, 232.5, 233.5, 234.5, 235.5, 236.5, 237.5,
> 238.5, 239.5, 240.5, 241.5, 242.5, 243.5, 244.5, 245.5, 246.5, 247.5,
> 248.5, 249.5, 250.5, 251.5, 252.5, 253.5, 254.5, 255.5, 256.5, 257.5,
> 258.5, 259.5, 260.5, 261.5, 262.5, 263.5, 264.5, 265.5, 266.5, 267.5,
> 268.5, 269.5, 270.5, 271.5, 272.5, 273.5, 274.5, 275.5, 276.5, 277.5,
> 278.5, 279.5, 280.5, 281.5, 282.5, 283.5, 284.5, 285.5, 286.5, 287.5,
> 288.5, 289.5, 290.5, 291.5, 292.5, 293.5, 294.5, 295.5, 296.5, 297.5,
> 298.5, 299.5, 300.5, 301.5, 302.5, 303.5, 304.5, 305.5, 306.5, 307.5,
> 308.5, 309.5, 310.5, 311.5, 312.5, 313.5, 314.5, 315.5, 316.5, 317.5,
> 318.5, 319.5, 320.5, 321.5, 322.5, 323.5, 324.5, 325.5, 326.5, 327.5,
> 328.5, 329.5, 330.5, 331.5, 332.5, 333.5, 334.5, 335.5, 336.5, 337.5,
> 338.5, 339.5, 340.5, 341.5, 342.5, 343.5, 344.5, 345.5, 346.5, 347.5,
> 348.5, 349.5, 350.5, 351.5, 352.5, 353.5, 354.5, 355.5, 356.5, 357.5,
> 358.5, 359.5 ;
>
> lat = -89.5, -88.5, -87.5, -86.5, -85.5, -84.5, -83.5, -82.5, -81.5, -80.5,
> -79.5, -78.5, -77.5, -76.5, -75.5, -74.5, -73.5, -72.5, -71.5, -70.5,
> -69.5, -68.5, -67.5, -66.5, -65.5, -64.5, -63.5, -62.5, -61.5, -60.5,
> -59.5, -58.5, -57.5, -56.5, -55.5, -54.5, -53.5, -52.5, -51.5, -50.5,
> -49.5, -48.5, -47.5, -46.5, -45.5, -44.5, -43.5, -42.5, -41.5, -40.5,
> -39.5, -38.5, -37.5, -36.5, -35.5, -34.5, -33.5, -32.5, -31.5, -30.5,
> -29.5, -28.5, -27.5, -26.5, -25.5, -24.5, -23.5, -22.5, -21.5, -20.5,
> -19.5, -18.5, -17.5, -16.5, -15.5, -14.5, -13.5, -12.5, -11.5, -10.5,
> -9.5, -8.5, -7.5, -6.5, -5.5, -4.5, -3.5, -2.5, -1.5, -0.5, 0.5, 1.5,
> 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5, 10.5, 11.5, 12.5, 13.5, 14.5,
> 15.5, 16.5, 17.5, 18.5, 19.5, 20.5, 21.5, 22.5, 23.5, 24.5, 25.5, 26.5,
> 27.5, 28.5, 29.5, 30.5, 31.5, 32.5, 33.5, 34.5, 35.5, 36.5, 37.5, 38.5,
> 39.5, 40.5, 41.5, 42.5, 43.5, 44.5, 45.5, 46.5, 47.5, 48.5, 49.5, 50.5,
> 51.5, 52.5, 53.5, 54.5, 55.5, 56.5, 57.5, 58.5, 59.5, 60.5, 61.5, 62.5,
> 63.5, 64.5, 65.5, 66.5, 67.5, 68.5, 69.5, 70.5, 71.5, 72.5, 73.5, 74.5,
> 75.5, 76.5, 77.5, 78.5, 79.5, 80.5, 81.5, 82.5, 83.5, 84.5, 85.5, 86.5,
> 87.5, 88.5, 89.5 ;
>
> time = 4018.5, 4019.5, 4020.5, 4021.5, 4022.5, 4023.5, 4024.5, 4025.5,
> 4026.5, 4027.5, 4028.5, 4029.5, 4030.5, 4031.5, 4032.5, 4033.5, 4034.5,
> 4035.5, 4036.5, 4037.5, 4038.5, 4039.5, 4040.5, 4041.5, 4042.5, 4043.5,
> 4044.5, 4045.5, 4046.5, 4047.5, 4048.5, 4049.5, 4050.5, 4051.5, 4052.5,
> 4053.5, 4054.5, 4055.5, 4056.5, 4057.5, 4058.5, 4059.5, 4060.5, 4061.5,
> 4062.5, 4063.5, 4064.5, 4065.5, 4066.5, 4067.5, 4068.5, 4069.5, 4070.5,
> 4071.5, 4072.5, 4073.5, 4074.5, 4075.5, 4076.5, 4077.5, 4078.5, 4079.5,
> 4080.5, 4081.5, 4082.5, 4083.5, 4084.5, 4085.5, 4086.5, 4087.5, 4088.5,
> 4089.5, 4090.5, 4091.5, 4092.5, 4093.5, 4094.5, 4095.5, 4096.5, 4097.5,
> 4098.5, 4099.5, 4100.5, 4101.5, 4102.5, 4103.5, 4104.5, 4105.5, 4106.5,
> 4107.5, 4108.5, 4109.5, 4110.5, 4111.5, 4112.5, 4113.5, 4114.5, 4115.5,
> 4116.5, 4117.5, 4118.5, 4119.5, 4120.5, 4121.5, 4122.5, 4123.5, 4124.5,
> 4125.5, 4126.5, 4127.5, 4128.5, 4129.5, 4130.5, 4131.5, 4132.5, 4133.5,
> 4134.5, 4135.5, 4136.5, 4137.5, 4138.5, 4139.5, 4140.5, 4141.5, 4142.5,
> 4143.5, 4144.5, 4145.5, 4146.5, 4147.5, 4148.5, 4149.5, 4150.5, 4151.5,
> 4152.5, 4153.5, 4154.5, 4155.5, 4156.5, 4157.5, 4158.5, 4159.5, 4160.5,
> 4161.5, 4162.5, 4163.5, 4164.5, 4165.5, 4166.5, 4167.5, 4168.5, 4169.5,
> 4170.5, 4171.5, 4172.5, 4173.5, 4174.5, 4175.5, 4176.5, 4177.5, 4178.5,
> 4179.5, 4180.5, 4181.5, 4182.5, 4183.5, 4184.5, 4185.5, 4186.5, 4187.5,
> 4188.5, 4189.5, 4190.5, 4191.5, 4192.5, 4193.5, 4194.5, 4195.5, 4196.5,
> 4197.5, 4198.5, 4199.5, 4200.5, 4201.5, 4202.5, 4203.5, 4204.5, 4205.5,
> 4206.5, 4207.5, 4208.5, 4209.5, 4210.5, 4211.5, 4212.5, 4213.5, 4214.5,
> 4215.5, 4216.5, 4217.5, 4218.5, 4219.5, 4220.5, 4221.5, 4222.5, 4223.5,
> 4224.5, 4225.5, 4226.5, 4227.5, 4228.5, 4229.5, 4230.5, 4231.5, 4232.5,
> 4233.5, 4234.5, 4235.5, 4236.5, 4237.5, 4238.5, 4239.5, 4240.5, 4241.5,
> 4242.5, 4243.5, 4244.5, 4245.5, 4246.5, 4247.5, 4248.5, 4249.5, 4250.5,
> 4251.5, 4252.5, 4253.5, 4254.5, 4255.5, 4256.5, 4257.5, 4258.5, 4259.5,
> 4260.5, 4261.5, 4262.5, 4263.5, 4264.5, 4265.5, 4266.5, 4267.5, 4268.5,
> 4269.5, 4270.5, 4271.5, 4272.5, 4273.5, 4274.5, 4275.5, 4276.5, 4277.5,
> 4278.5, 4279.5, 4280.5, 4281.5, 4282.5, 4283.5, 4284.5, 4285.5, 4286.5,
> 4287.5, 4288.5, 4289.5, 4290.5, 4291.5, 4292.5, 4293.5, 4294.5, 4295.5,
> 4296.5, 4297.5, 4298.5, 4299.5, 4300.5, 4301.5, 4302.5, 4303.5, 4304.5,
> 4305.5, 4306.5, 4307.5, 4308.5, 4309.5, 4310.5, 4311.5, 4312.5, 4313.5,
> 4314.5, 4315.5, 4316.5, 4317.5, 4318.5, 4319.5, 4320.5, 4321.5, 4322.5,
> 4323.5, 4324.5, 4325.5, 4326.5, 4327.5, 4328.5, 4329.5, 4330.5, 4331.5,
> 4332.5, 4333.5, 4334.5, 4335.5, 4336.5, 4337.5, 4338.5, 4339.5, 4340.5,
> 4341.5, 4342.5, 4343.5, 4344.5, 4345.5, 4346.5, 4347.5, 4348.5, 4349.5,
> 4350.5, 4351.5, 4352.5, 4353.5, 4354.5, 4355.5, 4356.5, 4357.5, 4358.5,
> 4359.5, 4360.5, 4361.5, 4362.5, 4363.5, 4364.5, 4365.5, 4366.5, 4367.5,
> 4368.5, 4369.5, 4370.5, 4371.5, 4372.5, 4373.5, 4374.5, 4375.5, 4376.5,
> 4377.5, 4378.5, 4379.5, 4380.5, 4381.5, 4382.5 ;
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