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Re: time units in ferret & netcdf
Hi Joerg,
I generally discourage folks from using "month" as a time unit -- since it is
so poorly defined.
Since your outputs are model months they may be "real" (attached to a
particular calendar year as, say, if the model is forced by "real" data or
starts from "real" initial conditions) or they may be abstract months counted
from the arbitrary start of the model run.
If the dates are abstract then anything goes. If the dates are "real" then you
can preserve the full (variable month) calendar information using the approach
you'll see in the attached NetCDF CDL file. This approach will place each
monthly point precisely at the midpoint of that month.
To see how it works unattach the attached file under the name irreg_months.cdl
and issue these commands
% ncgen -o irreg_months.cdf irreg_months.cdl
% ferret
yes? use irreg_months
yes? show grid/l=1:10 T_
You'll see output like this:
yes? show grid/l=1:5 t_
...
L T BOX_SIZE TIME_STEP (DAYS)
1> 16-JAN-1946 12:00:00 31 89864.5
2> 15-FEB-1946 00:00:00 28 89894
3> 16-MAR-1946 12:00:00 31 89923.5
4> 16-APR-1946 00:00:00 30 89954
It is easy to set up your model to write into an existing NetCDF file. In fact
you can use Ferret to create the entire framework using
DEFINE AXIS/X= ... myX ! your X axis
DEFINE AXIS/Y= ... myY axis ! your Y axis
DEFINE GRID/X=myX/Y=myY/T=T_[D=irreg_months] myGrid ! use the T
axis
LET myVar = 1/0 * X[g=myGrid]+Y[g=myGrid]+T[G=myGrid] ! dummy values
SET VARIABLE/TITLE=.../UNITS=... myVar
SAVE/APPEND/FILE=irreg_months.cdf myVar[l=1]
This NetCDF file is now self documenting, ready to write data into straight
from your model. All you need is the integer "variable ID" value needed by
NetCDF. You can find this if you generate a new CDL file from irreg_months.cdf
(ncdump -c irreg_month.cdf) and use "ncgen -f" on it.
enjoy - steve
==========================================
On Feb 23, 5:24pm, Joerg wrote:
> Subject: time units in ferret & netcdf
>
> [ text/plain
> Encoded with "quoted-printable" ]:
> I have a question about the way I should handle monthly output for
> ferret using netCDF as format of data storage. I need to save monthly
> means from a model run. In the netCDF file I can specify the time
> axis using
> 1. running months in the model run 1,2,3,4 ..... with unit month
> 2. months since the start of the model run with unit month
> 3. seconds of the middle of the month since a starting date with unit second
> I'm not sure how much support I'll get from ferret or some other tools for
> netcdf for the different possibilities.
> I guess that from the pure time unit stand point 3. would be the best
> solution. On the other hand if I wanted to calculate mean December
> values over a couple of years, I guess this would get somewhat arkward....
> Any ideas or experience greatly appreciated,
> Thanks!
> Joerg
>
>
>
> --
> Jörg Kaduk phone: +1 (650) 325 1521 ext 416
> Carnegie Institution of Washington fax: +1 (650) 325 6857
> Department of Plant Biology
> 260 Panama Street e-mail: joerg@jasper.stanford.edu
> USA - Stanford, CA 94305
>-- End of excerpt from Joerg
--
| NOAA/PMEL | ph. (206) 526-6080
Steve Hankin | 7600 Sand Point Way NE | FAX (206) 526-6744
| Seattle, WA 98115-0070 | hankin@pmel.noaa.gov
netcdf irreg_months { dimensions: TCOADS = 648 ; TCOADSedges = 649 ;
variables: double TCOADS(TCOADS) ; TCOADS:units = "DAYS since 1700-01-01 00:00:00" ; TCOADS:time_origin = "01-JAN-1700 00:00:00" ; TCOADS:point_spacing = "uneven" ; TCOADS:edges = "TCOADSedges" ; double TCOADSedges(TCOADSedges) ; TCOADSedges:edges = " " ; float T_(TCOADS) ; T_:missing_value = -9.9999998e+33f ; T_:_FillValue = -9.9999998e+33f ; T_:long_name = "T" ; T_:long_name_mod = "axis TCOADS" ; T_:history = "From coads" ;
// global attributes: :history = "FERRET V4.91 (debug/no GUI) 23-Feb-98" ;
data:
TCOADS = 89864.5, 89894, 89923.5, 89954, 89984.5, 90015, 90045.5, 90076.5, 90107, 90137.5, 90168, 90198.5, 90229.5, 90259, 90288.5, 90319, 90349.5, 90380, 90410.5, 90441.5, 90472, 90502.5, 90533, 90563.5, 90594.5, 90624.5, 90654.5, 90685, 90715.5, 90746, 90776.5, 90807.5, 90838, 90868.5, 90899, 90929.5, 90960.5, 90990, 91019.5, 91050, 91080.5, 91111, 91141.5, 91172.5, 91203, 91233.5, 91264, 91294.5, 91325.5, 91355, 91384.5, 91415, 91445.5, 91476, 91506.5, 91537.5, 91568, 91598.5, 91629, 91659.5, 91690.5, 91720, 91749.5, 91780, 91810.5, 91841, 91871.5, 91902.5, 91933, 91963.5, 91994, 92024.5, 92055.5, 92085.5, 92115.5, 92146, 92176.5, 92207, 92237.5, 92268.5, 92299, 92329.5, 92360, 92390.5, 92421.5, 92451, 92480.5, 92511, 92541.5, 92572, 92602.5, 92633.5, 92664, 92694.5, 92725, 92755.5, 92786.5, 92816, 92845.5, 92876, 92906.5, 92937, 92967.5, 92998.5, 93029, 93059.5, 93090, 93120.5, 93151.5, 93181, 93210.5, 93241, 93271.5, 93302, 93332.5, 93363.5, 93394, 93424.5, 93455, 93485.5, 93516.5, 93546.5, 93576.5, 93607, 93637.5, 93668, 93698.5, 93729.5, 93760, 93790.5, 93821, 93851.5, 93882.5, 93912, 93941.5, 93972, 94002.5, 94033, 94063.5, 94094.5, 94125, 94155.5, 94186, 94216.5, 94247.5, 94277, 94306.5, 94337, 94367.5, 94398, 94428.5, 94459.5, 94490, 94520.5, 94551, 94581.5, 94612.5, 94642, 94671.5, 94702, 94732.5, 94763, 94793.5, 94824.5, 94855, 94885.5, 94916, 94946.5, 94977.5, 95007.5, 95037.5, 95068, 95098.5, 95129, 95159.5, 95190.5, 95221, 95251.5, 95282, 95312.5, 95343.5, 95373, 95402.5, 95433, 95463.5, 95494, 95524.5, 95555.5, 95586, 95616.5, 95647, 95677.5, 95708.5, 95738, 95767.5, 95798, 95828.5, 95859, 95889.5, 95920.5, 95951, 95981.5, 96012, 96042.5, 96073.5, 96103, 96132.5, 96163, 96193.5, 96224, 96254.5, 96285.5, 96316, 96346.5, 96377, 96407.5, 96438.5, 96468.5, 96498.5, 96529, 96559.5, 96590, 96620.5, 96651.5, 96682, 96712.5, 96743, 96773.5, 96804.5, 96834, 96863.5, 96894, 96924.5, 96955, 96985.5, 97016.5, 97047, 97077.5, 97108, 97138.5, 97169.5, 97199, 97228.5, 97259, 97289.5, 97320, 97350.5, 97381.5, 97412, 97442.5, 97473, 97503.5, 97534.5, 97564, 97593.5, 97624, 97654.5, 97685, 97715.5, 97746.5, 97777, 97807.5, 97838, 97868.5, 97899.5, 97929.5, 97959.5, 97990, 98020.5, 98051, 98081.5, 98112.5, 98143, 98173.5, 98204, 98234.5, 98265.5, 98295, 98324.5, 98355, 98385.5, 98416, 98446.5, 98477.5, 98508, 98538.5, 98569, 98599.5, 98630.5, 98660, 98689.5, 98720, 98750.5, 98781, 98811.5, 98842.5, 98873, 98903.5, 98934, 98964.5, 98995.5, 99025, 99054.5, 99085, 99115.5, 99146, 99176.5, 99207.5, 99238, 99268.5, 99299, 99329.5, 99360.5, 99390.5, 99420.5, 99451, 99481.5, 99512, 99542.5, 99573.5, 99604, 99634.5, 99665, 99695.5, 99726.5, 99756, 99785.5, 99816, 99846.5, 99877, 99907.5, 99938.5, 99969, 99999.5, 100030, 100060.5, 100091.5, 100121, 100150.5, 100181, 100211.5, 100242, 100272.5, 100303.5, 100334, 100364.5, 100395, 100425.5, 100456.5, 100486, 100515.5, 100546, 100576.5, 100607, 100637.5, 100668.5, 100699, 100729.5, 100760, 100790.5, 100821.5, 100851.5, 100881.5, 100912, 100942.5, 100973, 101003.5, 101034.5, 101065, 101095.5, 101126, 101156.5, 101187.5, 101217, 101246.5, 101277, 101307.5, 101338, 101368.5, 101399.5, 101430, 101460.5, 101491, 101521.5, 101552.5, 101582, 101611.5, 101642, 101672.5, 101703, 101733.5, 101764.5, 101795, 101825.5, 101856, 101886.5, 101917.5, 101947, 101976.5, 102007, 102037.5, 102068, 102098.5, 102129.5, 102160, 102190.5, 102221, 102251.5, 102282.5, 102312.5, 102342.5, 102373, 102403.5, 102434, 102464.5, 102495.5, 102526, 102556.5, 102587, 102617.5, 102648.5, 102678, 102707.5, 102738, 102768.5, 102799, 102829.5, 102860.5, 102891, 102921.5, 102952, 102982.5, 103013.5, 103043, 103072.5, 103103, 103133.5, 103164, 103194.5, 103225.5, 103256, 103286.5, 103317, 103347.5, 103378.5, 103408, 103437.5, 103468, 103498.5, 103529, 103559.5, 103590.5, 103621, 103651.5, 103682, 103712.5, 103743.5, 103773.5, 103803.5, 103834, 103864.5, 103895, 103925.5, 103956.5, 103987, 104017.5, 104048, 104078.5, 104109.5, 104139, 104168.5, 104199, 104229.5, 104260, 104290.5, 104321.5, 104352, 104382.5, 104413, 104443.5, 104474.5, 104504, 104533.5, 104564, 104594.5, 104625, 104655.5, 104686.5, 104717, 104747.5, 104778, 104808.5, 104839.5, 104869, 104898.5, 104929, 104959.5, 104990, 105020.5, 105051.5, 105082, 105112.5, 105143, 105173.5, 105204.5, 105234.5, 105264.5, 105295, 105325.5, 105356, 105386.5, 105417.5, 105448, 105478.5, 105509, 105539.5, 105570.5, 105600, 105629.5, 105660, 105690.5, 105721, 105751.5, 105782.5, 105813, 105843.5, 105874, 105904.5, 105935.5, 105965, 105994.5, 106025, 106055.5, 106086, 106116.5, 106147.5, 106178, 106208.5, 106239, 106269.5, 106300.5, 106330, 106359.5, 106390, 106420.5, 106451, 106481.5, 106512.5, 106543, 106573.5, 106604, 106634.5, 106665.5, 106695.5, 106725.5, 106756, 106786.5, 106817, 106847.5, 106878.5, 106909, 106939.5, 106970, 107000.5, 107031.5, 107061, 107090.5, 107121, 107151.5, 107182, 107212.5, 107243.5, 107274, 107304.5, 107335, 107365.5, 107396.5, 107426, 107455.5, 107486, 107516.5, 107547, 107577.5, 107608.5, 107639, 107669.5, 107700, 107730.5, 107761.5, 107791, 107820.5, 107851, 107881.5, 107912, 107942.5, 107973.5, 108004, 108034.5, 108065, 108095.5, 108126.5, 108156.5, 108186.5, 108217, 108247.5, 108278, 108308.5, 108339.5, 108370, 108400.5, 108431, 108461.5, 108492.5, 108522, 108551.5, 108582, 108612.5, 108643, 108673.5, 108704.5, 108735, 108765.5, 108796, 108826.5, 108857.5, 108887, 108916.5, 108947, 108977.5, 109008, 109038.5, 109069.5, 109100, 109130.5, 109161, 109191.5, 109222.5, 109252, 109281.5, 109312, 109342.5, 109373, 109403.5, 109434.5, 109465, 109495.5, 109526, 109556.5 ;
TCOADSedges = 89849, 89880, 89908, 89939, 89969, 90000, 90030, 90061, 90092, 90122, 90153, 90183, 90214, 90245, 90273, 90304, 90334, 90365, 90395, 90426, 90457, 90487, 90518, 90548, 90579, 90610, 90639, 90670, 90700, 90731, 90761, 90792, 90823, 90853, 90884, 90914, 90945, 90976, 91004, 91035, 91065, 91096, 91126, 91157, 91188, 91218, 91249, 91279, 91310, 91341, 91369, 91400, 91430, 91461, 91491, 91522, 91553, 91583, 91614, 91644, 91675, 91706, 91734, 91765, 91795, 91826, 91856, 91887, 91918, 91948, 91979, 92009, 92040, 92071, 92100, 92131, 92161, 92192, 92222, 92253, 92284, 92314, 92345, 92375, 92406, 92437, 92465, 92496, 92526, 92557, 92587, 92618, 92649, 92679, 92710, 92740, 92771, 92802, 92830, 92861, 92891, 92922, 92952, 92983, 93014, 93044, 93075, 93105, 93136, 93167, 93195, 93226, 93256, 93287, 93317, 93348, 93379, 93409, 93440, 93470, 93501, 93532, 93561, 93592, 93622, 93653, 93683, 93714, 93745, 93775, 93806, 93836, 93867, 93898, 93926, 93957, 93987, 94018, 94048, 94079, 94110, 94140, 94171, 94201, 94232, 94263, 94291, 94322, 94352, 94383, 94413, 94444, 94475, 94505, 94536, 94566, 94597, 94628, 94656, 94687, 94717, 94748, 94778, 94809, 94840, 94870, 94901, 94931, 94962, 94993, 95022, 95053, 95083, 95114, 95144, 95175, 95206, 95236, 95267, 95297, 95328, 95359, 95387, 95418, 95448, 95479, 95509, 95540, 95571, 95601, 95632, 95662, 95693, 95724, 95752, 95783, 95813, 95844, 95874, 95905, 95936, 95966, 95997, 96027, 96058, 96089, 96117, 96148, 96178, 96209, 96239, 96270, 96301, 96331, 96362, 96392, 96423, 96454, 96483, 96514, 96544, 96575, 96605, 96636, 96667, 96697, 96728, 96758, 96789, 96820, 96848, 96879, 96909, 96940, 96970, 97001, 97032, 97062, 97093, 97123, 97154, 97185, 97213, 97244, 97274, 97305, 97335, 97366, 97397, 97427, 97458, 97488, 97519, 97550, 97578, 97609, 97639, 97670, 97700, 97731, 97762, 97792, 97823, 97853, 97884, 97915, 97944, 97975, 98005, 98036, 98066, 98097, 98128, 98158, 98189, 98219, 98250, 98281, 98309, 98340, 98370, 98401, 98431, 98462, 98493, 98523, 98554, 98584, 98615, 98646, 98674, 98705, 98735, 98766, 98796, 98827, 98858, 98888, 98919, 98949, 98980, 99011, 99039, 99070, 99100, 99131, 99161, 99192, 99223, 99253, 99284, 99314, 99345, 99376, 99405, 99436, 99466, 99497, 99527, 99558, 99589, 99619, 99650, 99680, 99711, 99742, 99770, 99801, 99831, 99862, 99892, 99923, 99954, 99984, 100015, 100045, 100076, 100107, 100135, 100166, 100196, 100227, 100257, 100288, 100319, 100349, 100380, 100410, 100441, 100472, 100500, 100531, 100561, 100592, 100622, 100653, 100684, 100714, 100745, 100775, 100806, 100837, 100866, 100897, 100927, 100958, 100988, 101019, 101050, 101080, 101111, 101141, 101172, 101203, 101231, 101262, 101292, 101323, 101353, 101384, 101415, 101445, 101476, 101506, 101537, 101568, 101596, 101627, 101657, 101688, 101718, 101749, 101780, 101810, 101841, 101871, 101902, 101933, 101961, 101992, 102022, 102053, 102083, 102114, 102145, 102175, 102206, 102236, 102267, 102298, 102327, 102358, 102388, 102419, 102449, 102480, 102511, 102541, 102572, 102602, 102633, 102664, 102692, 102723, 102753, 102784, 102814, 102845, 102876, 102906, 102937, 102967, 102998, 103029, 103057, 103088, 103118, 103149, 103179, 103210, 103241, 103271, 103302, 103332, 103363, 103394, 103422, 103453, 103483, 103514, 103544, 103575, 103606, 103636, 103667, 103697, 103728, 103759, 103788, 103819, 103849, 103880, 103910, 103941, 103972, 104002, 104033, 104063, 104094, 104125, 104153, 104184, 104214, 104245, 104275, 104306, 104337, 104367, 104398, 104428, 104459, 104490, 104518, 104549, 104579, 104610, 104640, 104671, 104702, 104732, 104763, 104793, 104824, 104855, 104883, 104914, 104944, 104975, 105005, 105036, 105067, 105097, 105128, 105158, 105189, 105220, 105249, 105280, 105310, 105341, 105371, 105402, 105433, 105463, 105494, 105524, 105555, 105586, 105614, 105645, 105675, 105706, 105736, 105767, 105798, 105828, 105859, 105889, 105920, 105951, 105979, 106010, 106040, 106071, 106101, 106132, 106163, 106193, 106224, 106254, 106285, 106316, 106344, 106375, 106405, 106436, 106466, 106497, 106528, 106558, 106589, 106619, 106650, 106681, 106710, 106741, 106771, 106802, 106832, 106863, 106894, 106924, 106955, 106985, 107016, 107047, 107075, 107106, 107136, 107167, 107197, 107228, 107259, 107289, 107320, 107350, 107381, 107412, 107440, 107471, 107501, 107532, 107562, 107593, 107624, 107654, 107685, 107715, 107746, 107777, 107805, 107836, 107866, 107897, 107927, 107958, 107989, 108019, 108050, 108080, 108111, 108142, 108171, 108202, 108232, 108263, 108293, 108324, 108355, 108385, 108416, 108446, 108477, 108508, 108536, 108567, 108597, 108628, 108658, 108689, 108720, 108750, 108781, 108811, 108842, 108873, 108901, 108932, 108962, 108993, 109023, 109054, 109085, 109115, 109146, 109176, 109207, 109238, 109266, 109297, 109327, 109358, 109388, 109419, 109450, 109480, 109511, 109541, 109572 ;
T_ = 89864.5 , 89894 , 89923.5 , 89954 , 89984.5 , 90015 , 90045.5 , 90076.5 , 90107 , 90137.5 , 90168 , 90198.5 , 90229.5 , 90259 , 90288.5 , 90319 , 90349.5 , 90380 , 90410.5 , 90441.5 , 90472 , 90502.5 , 90533 , 90563.5 , 90594.5 , 90624.5 , 90654.5 , 90685 , 90715.5 , 90746 , 90776.5 , 90807.5 , 90838 , 90868.5 , 90899 , 90929.5 , 90960.5 , 90990 , 91019.5 , 91050 , 91080.5 , 91111 , 91141.5 , 91172.5 , 91203 , 91233.5 , 91264 , 91294.5 , 91325.5 , 91355 , 91384.5 , 91415 , 91445.5 , 91476 , 91506.5 , 91537.5 , 91568 , 91598.5 , 91629 , 91659.5 , 91690.5 , 91720 , 91749.5 , 91780 , 91810.5 , 91841 , 91871.5 , 91902.5 , 91933 , 91963.5 , 91994 , 92024.5 , 92055.5 , 92085.5 , 92115.5 , 92146 , 92176.5 , 92207 , 92237.5 , 92268.5 , 92299 , 92329.5 , 92360 , 92390.5 , 92421.5 , 92451 , 92480.5 , 92511 , 92541.5 , 92572 , 92602.5 , 92633.5 , 92664 , 92694.5 , 92725 , 92755.5 , 92786.5 , 92816 , 92845.5 , 92876 , 92906.5 , 92937 , 92967.5 , 92998.5 , 93029 , 93059.5 , 93090 , 93120.5 , 93151.5 , 93181 , 93210.5 , 93241 , 93271.5 , 93302 , 93332.5 , 93363.5 , 93394 , 93424.5 , 93455 , 93485.5 , 93516.5 , 93546.5 , 93576.5 , 93607 , 93637.5 , 93668 , 93698.5 , 93729.5 , 93760 , 93790.5 , 93821 , 93851.5 , 93882.5 , 93912 , 93941.5 , 93972 , 94002.5 , 94033 , 94063.5 , 94094.5 , 94125 , 94155.5 , 94186 , 94216.5 , 94247.5 , 94277 , 94306.5 , 94337 , 94367.5 , 94398 , 94428.5 , 94459.5 , 94490 , 94520.5 , 94551 , 94581.5 , 94612.5 , 94642 , 94671.5 , 94702 , 94732.5 , 94763 , 94793.5 , 94824.5 , 94855 , 94885.5 , 94916 , 94946.5 , 94977.5 , 95007.5 , 95037.5 , 95068 , 95098.5 , 95129 , 95159.5 , 95190.5 , 95221 , 95251.5 , 95282 , 95312.5 , 95343.5 , 95373 , 95402.5 , 95433 , 95463.5 , 95494 , 95524.5 , 95555.5 , 95586 , 95616.5 , 95647 , 95677.5 , 95708.5 , 95738 , 95767.5 , 95798 , 95828.5 , 95859 , 95889.5 , 95920.5 , 95951 , 95981.5 , 96012 , 96042.5 , 96073.5 , 96103 , 96132.5 , 96163 , 96193.5 , 96224 , 96254.5 , 96285.5 , 96316 , 96346.5 , 96377 , 96407.5 , 96438.5 , 96468.5 , 96498.5 , 96529 , 96559.5 , 96590 , 96620.5 , 96651.5 , 96682 , 96712.5 , 96743 , 96773.5 , 96804.5 , 96834 , 96863.5 , 96894 , 96924.5 , 96955 , 96985.5 , 97016.5 , 97047 , 97077.5 , 97108 , 97138.5 , 97169.5 , 97199 , 97228.5 , 97259 , 97289.5 , 97320 , 97350.5 , 97381.5 , 97412 , 97442.5 , 97473 , 97503.5 , 97534.5 , 97564 , 97593.5 , 97624 , 97654.5 , 97685 , 97715.5 , 97746.5 , 97777 , 97807.5 , 97838 , 97868.5 , 97899.5 , 97929.5 , 97959.5 , 97990 , 98020.5 , 98051 , 98081.5 , 98112.5 , 98143 , 98173.5 , 98204 , 98234.5 , 98265.5 , 98295 , 98324.5 , 98355 , 98385.5 , 98416 , 98446.5 , 98477.5 , 98508 , 98538.5 , 98569 , 98599.5 , 98630.5 , 98660 , 98689.5 , 98720 , 98750.5 , 98781 , 98811.5 , 98842.5 , 98873 , 98903.5 , 98934 , 98964.5 , 98995.5 , 99025 , 99054.5 , 99085 , 99115.5 , 99146 , 99176.5 , 99207.5 , 99238 , 99268.5 , 99299 , 99329.5 , 99360.5 , 99390.5 , 99420.5 , 99451 , 99481.5 , 99512 , 99542.5 , 99573.5 , 99604 , 99634.5 , 99665 , 99695.5 , 99726.5 , 99756 , 99785.5 , 99816 , 99846.5 , 99877 , 99907.5 , 99938.5 , 99969 , 99999.5 , 100030 , 100060.5 , 100091.5 , 100121 , 100150.5 , 100181 , 100211.5 , 100242 , 100272.5 , 100303.5 , 100334 , 100364.5 , 100395 , 100425.5 , 100456.5 , 100486 , 100515.5 , 100546 , 100576.5 , 100607 , 100637.5 , 100668.5 , 100699 , 100729.5 , 100760 , 100790.5 , 100821.5 , 100851.5 , 100881.5 , 100912 , 100942.5 , 100973 , 101003.5 , 101034.5 , 101065 , 101095.5 , 101126 , 101156.5 , 101187.5 , 101217 , 101246.5 , 101277 , 101307.5 , 101338 , 101368.5 , 101399.5 , 101430 , 101460.5 , 101491 , 101521.5 , 101552.5 , 101582 , 101611.5 , 101642 , 101672.5 , 101703 , 101733.5 , 101764.5 , 101795 , 101825.5 , 101856 , 101886.5 , 101917.5 , 101947 , 101976.5 , 102007 , 102037.5 , 102068 , 102098.5 , 102129.5 , 102160 , 102190.5 , 102221 , 102251.5 , 102282.5 , 102312.5 , 102342.5 , 102373 , 102403.5 , 102434 , 102464.5 , 102495.5 , 102526 , 102556.5 , 102587 , 102617.5 , 102648.5 , 102678 , 102707.5 , 102738 , 102768.5 , 102799 , 102829.5 , 102860.5 , 102891 , 102921.5 , 102952 , 102982.5 , 103013.5 , 103043 , 103072.5 , 103103 , 103133.5 , 103164 , 103194.5 , 103225.5 , 103256 , 103286.5 , 103317 , 103347.5 , 103378.5 , 103408 , 103437.5 , 103468 , 103498.5 , 103529 , 103559.5 , 103590.5 , 103621 , 103651.5 , 103682 , 103712.5 , 103743.5 , 103773.5 , 103803.5 , 103834 , 103864.5 , 103895 , 103925.5 , 103956.5 , 103987 , 104017.5 , 104048 , 104078.5 , 104109.5 , 104139 , 104168.5 , 104199 , 104229.5 , 104260 , 104290.5 , 104321.5 , 104352 , 104382.5 , 104413 , 104443.5 , 104474.5 , 104504 , 104533.5 , 104564 , 104594.5 , 104625 , 104655.5 , 104686.5 , 104717 , 104747.5 , 104778 , 104808.5 , 104839.5 , 104869 , 104898.5 , 104929 , 104959.5 , 104990 , 105020.5 , 105051.5 , 105082 , 105112.5 , 105143 , 105173.5 , 105204.5 , 105234.5 , 105264.5 , 105295 , 105325.5 , 105356 , 105386.5 , 105417.5 , 105448 , 105478.5 , 105509 , 105539.5 , 105570.5 , 105600 , 105629.5 , 105660 , 105690.5 , 105721 , 105751.5 , 105782.5 , 105813 , 105843.5 , 105874 , 105904.5 , 105935.5 , 105965 , 105994.5 , 106025 , 106055.5 , 106086 , 106116.5 , 106147.5 , 106178 , 106208.5 , 106239 , 106269.5 , 106300.5 , 106330 , 106359.5 , 106390 , 106420.5 , 106451 , 106481.5 , 106512.5 , 106543 , 106573.5 , 106604 , 106634.5 , 106665.5 , 106695.5 , 106725.5 , 106756 , 106786.5 , 106817 , 106847.5 , 106878.5 , 106909 , 106939.5 , 106970 , 107000.5 , 107031.5 , 107061 , 107090.5 , 107121 , 107151.5 , 107182 , 107212.5 , 107243.5 , 107274 , 107304.5 , 107335 , 107365.5 , 107396.5 , 107426 , 107455.5 , 107486 , 107516.5 , 107547 , 107577.5 , 107608.5 , 107639 , 107669.5 , 107700 , 107730.5 , 107761.5 , 107791 , 107820.5 , 107851 , 107881.5 , 107912 , 107942.5 , 107973.5 , 108004 , 108034.5 , 108065 , 108095.5 , 108126.5 , 108156.5 , 108186.5 , 108217 , 108247.5 , 108278 , 108308.5 , 108339.5 , 108370 , 108400.5 , 108431 , 108461.5 , 108492.5 , 108522 , 108551.5 , 108582 , 108612.5 , 108643 , 108673.5 , 108704.5 , 108735 , 108765.5 , 108796 , 108826.5 , 108857.5 , 108887 , 108916.5 , 108947 , 108977.5 , 109008 , 109038.5 , 109069.5 , 109100 , 109130.5 , 109161 , 109191.5 , 109222.5 , 109252 , 109281.5 , 109312 , 109342.5 , 109373 , 109403.5 , 109434.5 , 109465 , 109495.5 , 109526 , 109556.5 ; }
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