File talk:Spectrum of halophosphate type fluorescent bulb (f30t12 ww rs).png
Data used to create spectrum (CSV format)
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845.91,116 846.35,117 846.78,117 847.21,122 847.65,124 848.08,121 848.52,121 848.95,121 849.39,122 849.82,121 850.25,122 850.69,124 851.12,124 851.56,124 851.99,121 852.42,120 852.86,121 853.29,123 853.73,126 854.16,123 854.59,124 855.03,121 855.46,118 855.9,121 856.33,123 856.76,121 857.2,121 857.63,119 858.06,120 858.5,123 858.93,123 859.37,117 859.8,120 860.23,120 860.67,119 861.1,118 861.53,121 861.97,119 862.4,118 862.83,120 863.27,119 863.7,122 864.13,120 864.57,117 865,117 865.43,120 865.87,119 866.3,118 866.73,119 867.17,120 867.6,127 868.03,125 868.47,121 868.9,122 869.33,123 869.76,123 870.2,121 870.63,123 871.06,125 871.5,122 871.93,118 872.36,116 872.79,123 873.23,120 873.66,121 874.09,118 874.52,121 874.96,118 875.39,118 875.82,121 876.26,121 876.69,121 877.12,122 877.55,126 877.99,120 878.42,118 878.85,124 879.28,121 879.71,118 880.15,119 880.58,118 881.01,121 881.44,122 881.88,123 882.31,118 882.74,118 883.17,118 883.6,124 884.04,124 884.47,121 884.9,117 885.33,116 885.77,119 886.2,118 886.63,120 887.06,120 887.49,120 887.92,122 888.36,124 888.79,121 889.22,122 889.65,119 890.08,121 890.52,123 890.95,123 891.38,122 891.81,122 892.24,124 892.67,122 893.1,123 893.54,121 893.97,117 894.4,119 894.83,123 895.26,124 895.69,123 896.12,121 896.56,118 896.99,119 897.42,121 897.85,117 898.28,122 898.71,120 899.14,128 899.57,122 900.01,123 900.44,123 900.87,122 901.3,122 901.73,117 902.16,120 902.59,120 903.02,121 903.45,121 903.88,121 904.31,123 904.75,123 905.18,125 905.61,120 906.04,116 906.47,117 906.9,117 907.33,120 907.76,119 908.19,121 908.62,122 909.05,121 909.48,122 909.91,124 910.34,115 910.77,120 911.2,122 911.63,121 912.07,120 912.5,122 912.93,119 913.36,120 913.79,126 914.22,123 914.65,119 915.08,116 915.51,119 915.94,126 916.37,122 916.8,123 917.23,116 917.66,117 918.09,118 918.52,119 918.95,124 919.38,122 919.81,121 920.24,120 920.67,123 921.1,122 921.53,128 921.96,123 922.39,119 922.82,120 923.24,118 923.67,119 924.1,120 924.53,120 924.96,121 925.39,122 925.82,121 926.25,120 926.68,126 927.11,121 927.54,121 927.97,120 928.4,118 928.83,119 929.26,119 929.69,121 930.12,122 930.54,123 930.97,120 931.4,118 931.83,119 932.26,122 932.69,123 933.12,124 933.55,121 933.98,121 934.41,125 934.84,124 935.26,124 935.69,125 936.12,121 936.55,123 936.98,124 937.41,121 937.84,121 938.27,121 938.69,124 939.12,124 939.55,121 939.98,125 940.41,121 940.84,126 941.27,126 941.69,118 942.12,116 942.55,119 942.98,121 943.41,123 943.84,123 944.26,119 944.69,123 945.12,119 945.55,120 945.98,120 946.41,121 946.83,123 947.26,125 947.69,122 948.12,120 948.55,120 948.97,119 949.4,122 949.83,122 950.26,124 950.69,124 951.11,121 951.54,122 951.97,123 952.4,128 952.83,119 953.25,119 953.68,123 954.11,120 954.54,120 954.96,126 955.39,119 955.82,122 956.25,122 956.68,125 957.1,124 957.53,121 957.96,122 958.39,121 958.81,125 959.24,121 959.67,122 960.09,118 960.52,120 960.95,119 961.38,122 961.8,123 962.23,120 962.66,121 963.09,121 963.51,116 963.94,118 964.37,120 964.79,118 965.22,122 965.65,119 966.07,121 966.5,120 966.93,120 967.36,120 967.78,120 968.21,123 968.64,128 969.06,123 969.49,123 969.92,124 970.34,124 970.77,122 971.2,121 971.62,123 972.05,120 972.48,117 972.9,124 973.33,123 973.76,122 974.18,118 974.61,123 975.04,122 975.46,118 975.89,122 976.31,121 976.74,121 977.17,119 977.59,119 978.02,123 978.45,125 978.87,121 979.3,121 979.72,121 980.15,120 980.58,116 981,115 981.43,115 981.85,117 982.28,116 982.71,121 983.13,121 983.56,120 983.98,122 984.41,122 984.84,120 985.26,117 985.69,115 986.11,120 986.54,118 986.96,121 987.39,120 987.81,122 988.24,118 988.67,119 989.09,119 989.52,123 989.94,121 990.37,123 990.79,126 991.22,127 991.64,122 992.07,124 992.49,119 992.92,119 993.35,118 993.77,119 994.2,121 994.62,118 995.05,118 995.47,117 995.9,118 996.32,116 996.75,119 997.17,121 997.6,123 998.02,121 998.45,118 998.87,118 999.3,121 999.72,123 1000.15,119 1000.57,120 1001,120 1001.42,123 1001.85,123 1002.27,119 1002.69,123 1003.12,121 1003.54,119 1003.97,119 1004.39,120 1004.82,120 1005.24,122 1005.67,122 1006.09,121 1006.52,123 1006.94,123 1007.36,124 1007.79,122 1008.21,119 1008.64,117 1009.06,120 1009.49,122 1009.91,122 1010.33,119 1010.76,117 1011.18,119 1011.61,124 1012.03,121 1012.45,118 1012.88,119 1013.3,118 1013.73,124 1014.15,122 1014.57,119 1015,122 1015.42,122 1015.85,121 1016.27,119 1016.69,123 1017.12,124 1017.54,123 1017.97,122 1018.39,122 1018.81,122 1019.24,123 1019.66,120 1020.08,116 1020.51,114 1020.93,121 1021.35,120 1021.78,121 1022.2,116 1022.62,118 1023.05,119 1023.47,118 1023.89,121 1024.32,120 1024.74,119 1025.16,119 1025.59,118 1026.01,116 1026.43,120 1026.86,121 1027.28,126 1027.7,124 1028.13,122 1028.55,120 1028.97,121 1029.4,123 1029.82,121 1030.24,122 1030.66,121 1031.09,121 1031.51,121 1031.93,127 1032.36,123 1032.78,118 1033.2,123 1033.62,122 1034.05,120 1034.47,122 1034.89,120 1035.31,122 1035.74,118 1036.16,118 1036.58,123 1037,121 1037.43,121 1037.85,120 1038.27,122 1038.69,127 1039.12,122 1039.54,121 1039.96,118 1040.38,121 1040.81,119 1041.23,117 1041.65,119 1042.07,123 1042.49,119 1042.92,121 1043.34,122 1043.76,120 1044.18,122 1044.61,124 1045.03,122 1045.45,121 1045.87,121 1046.29,120 1046.72,118 1047.14,120 1047.56,123 1047.98,125 1048.4,121 1048.82,122 1049.25,118 1049.67,122 1050.09,118 1050.51,120 1050.93,122 1051.35,120 1051.78,119 1052.2,120 1052.62,119 1053.04,117 1053.46,121 1053.88,124 1054.3,121 1054.73,121 1055.15,124 1055.57,125 1055.99,123 1056.41,121 1056.83,121 1057.25,118 1057.68,122 1058.1,122 1058.52,120 1058.94,120 1059.36,120 1059.78,122 1060.2,124 1060.62,121 1061.04,121 1061.46,122 1061.89,124 1062.31,131 1062.73,130 1063.15,124 1063.57,122 1063.99,120 1064.41,119 1064.83,122 1065.25,121 1065.67,121 1066.09,117 1066.51,118 1066.94,117 1067.36,117 1067.78,119 1068.2,119 1068.62,119 1069.04,121 1069.46,119 1069.88,125 1070.3,120 1070.72,119 1071.14,123 1071.56,125 1071.98,118 1072.4,119 1072.82,116 1073.24,119 1073.66,120 1074.08,119 1074.5,121 1074.92,118 1075.34,117 1075.76,122 1076.18,121 1076.6,120 1077.02,120 1077.44,122 1077.86,121 1078.28,123 1078.7,118 1079.12,129 1079.54,125 1079.96,123 1080.38,119 1080.8,125 1081.22,122 1081.64,120 1082.06,118 1082.48,122 1082.9,118 1083.32,117 1083.74,119 1084.16,118 1084.58,124 1085,125 1085.42,122 1085.84,122 1086.25,123 1086.67,121 1087.09,121 1087.51,118 1087.93,120 1088.35,125 1088.77,119 1089.19,125 1089.61,121 1090.03,122 1090.45,120 1090.87,121 1091.29,123 1091.7,121 1092.12,122 1092.54,119 1092.96,120 1093.38,120 1093.8,124 1094.22,122 1094.64,119 1095.06,123 1095.47,126 1095.89,122 1096.31,125 1096.73,122 1097.15,119 1097.57,120 1097.99,118 1098.41,117 1098.82,118 1099.24,124 1099.66,123 1100.08,124 1100.5,122 1100.92,120
Calibration
editIs this spectrometer calibrated regarding intensity? Although the wavelengths are probably very accurate, the spectral sensitivity of the CCD sensor and the grating can be a huge effect. Han-Kwang 10:21, 12 October 2006 (UTC)
- Quite clearly.... it is not. The peaks are pretty accurate ~ +-1nm but the response of the detector is clearly not linear and not compensated for. Look at this spectrum of the sky[3] clearly the IR response above ~800nm is much too low to be useful (the sun emits lots more IR than seen there. Anyway, I only really trust this spectrometer in the 300-800nm range. --Deglr6328 06:20, 13 October 2006 (UTC)
- I've tried setting the "detector linearization" feature in the software from Ocean Optics to "on", and really, I saw what must be less than a few percent difference between when it was on and when it was off. The diffrence is certainly less than what is needed to truly linearize the detector response; the spectrum of a lightbulb still peaks in essentially the same place for instance, at ~ 650-700 nm. So there's not much left that I know of that I could do to correct it.--Deglr6328 07:51, 14 October 2006 (UTC)
- (reply from my user talk page, I will start paying attention to my watchlist again) The calibration you are mentioning is probably about the intensity/voltage response curve for single pixels. That is normally not a big problem with photosensors. I'm talking about the spectral sensitivity, see for example http://www.oceanoptics.com/technical/systemsensitivity.asp and especially page 8 on http://www.oceanoptics.com/technical/ilx511.pdf . That is easily a factor 2 in sensitivity between 700 and 450 nm. On top of that there's the spectral response of the grating (dependent on grating type AND on angle) and the varying number of nanometers per detector pixel. The easiest way to calibrate is to use a normal consumer-grade halogen light bulb and use the Planck black-body spectrum at 3000 K. (Or a non-halogen incandescent with 2800 K, but it would be rather weak at the UV-side of the spectrum). Of course a calibrated lamp would be better, but I think the light bulb manufacturers can control the temperature quite accurately given the V^16 relation mentioned in Incandescent_light#Voltage.2C_light_output.2C_and_lifetime.
- Yes, we're on the same page. I've read that document. The calibration technique you speak of though, I don't think I can do. I mean, if I take my halogen source [4] and shine it right into the spectrometer, I have to absolutely saturate the thing between 500-700nm just to see ANY light between ~950 and 1100. I think that because the sensitivity of the CCD is so low in that region and thus the dynamic range throughout the spectrum so high, that I just can't expect to get truly normalized spectra throughout the whole detector range. Take a look at this professor's page of spectra, [5], I have spoken with him and he uses the same spectrometer I'm using and his spectra appear to suffer the same lack of response in the NIR and UV <300nm that mine do. Supposing though I did try to calibrate using the halogen source.... how would I (specifically) do that? --Deglr6328 12:55, 14 October 2006 (UTC)
- What I did - with an Avantes USB spectrometer which is quite similar - is to average the spectra for a while to beat the noise floor, but indeed it stays quite noisy at the red end of the spectrum: with a halogen bulb, the signal at 1060 nm is below 1% of the signal at 580 nm. You could try a normal incandescent which produces more NIR (2800-2850 K), or run the bulb at a lower voltage with the T V^(-0.42) = constant equation. Alternatively you could try a Schott RG long-wave-pass filter, which have almost 100% transmittance above their cut-off wavelength, and measure the calibration spectrum in separate segments for short and long wavelengths. But of course you would need to have such a filter lying around or be able to purchase one for $50 or so. I was mainly interested in the range below 850 nm, so I didn't do this, although I do have a 715 nm RG filter. From the specs of Avantes (Sony 2048 pixel sensor of an unspecified model) it seems that the sensitivity decreases roughly linearly above 900 nm, reaching zero at 1100 nm. For a halogen bulb I would use a 20 or 40 W model for 12 V, which all seem to be 3000 K from some casual browsing at the manufacturer's sites. Flashlight bulbs have a color temp that depends on the battery age.
- P.S. Watch out for 2nd order diffraction. 500 nm will show up as 1000 nm and swamp the true 1000 nm signal. An RG filter would be a good idea anyway. FIY see the calibration data below.
- Anyway, the best way to calibrate the spectrometer is to pay the manufacturer for a certified calibration. With a light bulb you'll at least have some idea and it requires only little time.
- Han-Kwang 14:00, 14 October 2006 (UTC)
- Yes, we're on the same page. I've read that document. The calibration technique you speak of though, I don't think I can do. I mean, if I take my halogen source [4] and shine it right into the spectrometer, I have to absolutely saturate the thing between 500-700nm just to see ANY light between ~950 and 1100. I think that because the sensitivity of the CCD is so low in that region and thus the dynamic range throughout the spectrum so high, that I just can't expect to get truly normalized spectra throughout the whole detector range. Take a look at this professor's page of spectra, [5], I have spoken with him and he uses the same spectrometer I'm using and his spectra appear to suffer the same lack of response in the NIR and UV <300nm that mine do. Supposing though I did try to calibrate using the halogen source.... how would I (specifically) do that? --Deglr6328 12:55, 14 October 2006 (UTC)
- Hm well I will try it. thanks for your pointers! Anyway, you've obviously seen some of the spectra that I've taken, what do you think of my notation/interpretation?[6] accurate?--Deglr6328 19:54, 14 October 2006 (UTC)
I realize now that you uploaded these spectra quite recently. Nice! I considered doing that myself at some point, but never got around to actually do it. I can't judge your assignment of the spectral lines, but I'm sure you put a lot of effort in them. However, I might have reconsidered the vertical axis labels ("Intensity (counts)") given that intensity has various meanings, none of which measured in "count" units. OTOH, a correct label such as "detector signal" would be distracting for a Wikipedia article. If you manage to recalibrate the spectra, a better label would be something like "Normalized spectral irradiance (nm^-1)" on a scale from 0 to 1. You could normalize to the total area or to the peak height depending on your taste. It's good that you use "transmittance" in other plots. I've tried in vain to convince some of my colleagues that "transmission" i not a quantity. It's the same ones that prefer to measure frequency in "wavenumbers". :-)
I also see that you have access to a NIR spectrometer. The light bulb calibration should also work for that area, so in principle you could construct your spectra by gluing the 400-700 and 700-1500 nm ranges together from two different spectrometers. But that's going to be a lot more work than normalizing the data you already have. I'm not sure about the NIR transmission spectrum of glass in normal light bulbs, but the quartz glass in halogen bulbs should be OK up to 2.5 microns.
Finally, you might consider avoiding yellow and cyan for the curves. If someone decides to use your plots in a Powerpoint presentation, they might end up illegible.
Han-Kwang 21:47, 14 October 2006 (UTC)
- Ugh I hate wavenumbers. Yes I considered using "arbitrary units" for the intensity but the software labels it "counts" so I figured I'd just leave it. So as you may know IANAP and I'm learning (a lot!) as I go here and the spectra I'm uploading are, I think, getting progessively better in format and accuracy. Secretly, I am hoping this normalization thing will be such a pain that I can't justify redoing the spectra as I've already spent a LARGE amount of time on the ones I've taken...:o) I guess it won't be SO bad though, it's not like I'd have to redo the monochromatic sources such as the HeNe. Anywho I'll let you know here when I get going on the calibration. Thanks agian. --Deglr6328 22:42, 14 October 2006 (UTC)
OK so I went back and figured out that the feature I was looking for is apparently called "relative irradiance" mode. In this mode I take a "dark spectrum" while covering the input of the spectrometer and a "refrence spectrum" which is taken while a blackbody light source of known temp is shone into the spectrometer. So I used a light source we had lying around called the ocean optics LS-1 source which apparently is a little incandescent bulb that runs at ~3100K [7] it is not a calibrated light source but I'm going to assume its good enough. I told the software to calibrate at this temperature and shined the light from the source right into the spectrometer using no fiber at all.
- I very quickly noticed however, that the angle at which I shined the light into the input port of the spectrometer affected not only the intensity of the readout on screen but also the shape of the spectrum, shining in from one direction produced a sharp cutoff on the IR end of the peak and a sharper cutoff in the blue/green end was produced when shining in from a simillar angle from the other side of the input port. this surprised me and I initially thought that a $4,000 spectrometer shouldn't do such things but then I thought that this is probably a result of the miniatureization of the thing and the imperfect light collection optics that must be a consequence of such size. anyway, I then tried putting the UV/VIS fiber back on and shining the light into the other end of that to see if this maybe eliminated the effect. It did, but not totally, still when I moved the light source from side to side shining on the opposite end of the fiber, the spectrum changed shape. This was quite discouraging so I wen't back and re-read the section in the ocean optics manual for doing a spectrometer calibration. There it said that an integrating sphere had to be used with the fiber / light source setup. Well, I do not have an integrating sphere and am not about to buy one so instead I grabbed a small piece of thin fused silica glass and sandblasted it so that it might act as a kind of diffuser which I though should work simillarly to an integrating sphere if I simply place it in between the fiber input and the light source. So far as I can tell, this worked (finally) and I really couldn't notice any change in shape of the spectrum (aside from amplitude of the peak) when I moved the source around from side to side while shining on the hazy piece of glass between it and the fiber. I then told the software to expect to see a source of 3100K and took a refrecnce spectrum then went into irradiance mode to see the corrected spectrum of light that the setup was now detecting. What it produced (see picture at right) was another surprise. Its obviously just taking whatever light it happens to see at the time I click "take refrence spectrum" and saying "ok this must be a perfect blackbody at the temp you told me it should be, I'm going to correct the readout to look perfect". Now when I shine other light sources into the fiber in the corrected rel. irrad. mode the peaks are indeed at different intensities that the ones I had taken previously. Is this right? I mean is it ok if it does things that way? It just looks too perfect (the spectrum at right) to me and I'm afraid something is wrong with this method or that perhaps I've forgotten something. Please let me know what you think! :) --Deglr6328 13:43, 28 October 2006 (UTC)
It looks like you did a good job. :-) A diffusor is a good way to get reproduceable spectra. Tissue paper also works, although it probably affects the spectral response a bit in the UV range compared to sandblasted glass. Yes, it is very likely that the software compared the actual sensor readings to the calculated reference spectrum at 3100 K and used this information to correct future readings. So no surprise that after this calibration the calibration source looked like a perfect black-body radiator. But an incandescent light will be very close (+/-50 K) to a true black-body radiator anyway, so no need to worry. I'm not sure what Ocean Optics means with 'electronic noise correction', but I wouldn't expect magic from it. More effective means are averaging longer, and smoothing ('boxcarring') the blackbody spectrum. However, things that you should keep in mind are:
- Use appropriate background correction both for the reference and for future spectra. If you block the light, the spectrum should be exactly zero over the full range.
- Take precautions against 2nd order maxima. Light in the range 300-550 nm will show up as ghosts at the double wavelength, 600-1100 nm. Your calibration against a blackbody radiator will not cure this problem. The best way, as I said before, is to measure the low end of the spectrum through a Schott RG570 filter and glue it to the high end of the spectrum in your favorite data processing program. (The filter will have a flat 91% transmittance from about 590 nm and up, so multiply that part of the spectrum by 1/0.91). Alternatively, if you have a spectral source that is guaranteed to not have any emission in the range 300-550 nm, you could make some calibration f(lamda) such that a measured spectrum I(lamda) can be transformed into I(lamda) - f(lamda)*I(lamda/2). These 2nd order effects are mostly of concern above 1000 nm. Based on the calibration of my Avaspec-2048, the correction in the range 800-1100 nm is about -0.007*I(lambda/2), before applying the blackbody calibration.
So the proper order of corrections is:
- measure raw spectrum, i.e. sensor readings
- substract the background
- apply the linearity correction (very small effect)
- Transform into . (This is going to require a custom-written program since the data doesn't come as a mathematical function)
- Apply the spectral correction that you obtained by doing steps 1-4 on a calibration source.
- Plot the data.
With plenty of experience with buggy software without proper documentation that came with scientific instruments I would personally prefer doing it with the above procedure since I that way I know what is going on and whether the approximations are valid. But if you don't feel like doing a lot of data processing, then I'd say go for it anyway with just steps 2,5,6. Just be careful with the interpretation if the intensity in the range 900-1100 nm is 1% or less of the intensity in the 450-550 nm range.
Han-Kwang 15:27, 28 October 2006 (UTC)
- Hmm, well I don't have access to an edge filter like that but I did try to take a look at the second order lines (which is something that I hadn't considered!). So in rel. irrad. mode I took a bright blacklight source emitting at 380nm, shined it directly into the fiber and cranked up the integration time so it was absurdly saturating the detector (it saturates at like 50ms and I had it at around 1000ms) and at 760nm I saw.....nothing at all. Does this mean I don't have to worry about 2nd order diffraction lines?--Deglr6328 11:17, 30 October 2006 (UTC)
- Apparently, the HR4000 has a built-in variable filter to make sure that each wavelength component only reaches that part of the sensor that it should be reaching: "Each CG-series Spectrometer utilizes a 5 µm entrance slit, proprietary HC-1 grating and patented order-sorting filter to provide a 200-1100 nm wavelength range"[8]. Go for it! Han-Kwang 11:47, 30 October 2006 (UTC)
- Ok but actually I'm using an HR2000 (no CG series filter) so the reason for no 2nd order peaks is a bit of a mystery? anywho, here is one of the first corrected spectra I took. This one is of the light from a blue flame of a butane torch(uncorrected version is here [9]). Obviously the peak heights are different!
rel irrad version of [2]
- Ok but actually I'm using an HR2000 (no CG series filter) so the reason for no 2nd order peaks is a bit of a mystery? anywho, here is one of the first corrected spectra I took. This one is of the light from a blue flame of a butane torch(uncorrected version is here [9]). Obviously the peak heights are different!
Example calibration
editData: 3000 K halogen bulb, Avantas USB 2048 spectrometer, data columns: wavelength (nm), sensor signal without filter, signal with RG580 filter.
350.2 274.3 50.0 350.8 281.5 49.7 351.4 285.9 49.5 352.0 293.0 48.6 352.6 298.8 48.4 353.2 303.2 47.6 353.8 312.8 48.7 354.4 322.6 48.0 354.9 333.7 48.2 355.5 342.6 48.2 356.1 355.5 49.0 356.7 369.5 48.6 357.3 377.6 49.0 357.9 389.1 50.3 358.5 400.9 49.6 359.0 411.6 49.4 359.6 422.7 49.7 360.2 432.8 49.4 360.8 447.2 49.4 361.4 459.5 47.7 362.0 474.0 46.4 362.6 489.0 45.5 363.1 499.0 45.3 363.7 514.6 46.4 364.3 529.5 45.4 364.9 540.4 45.6 365.5 552.2 45.6 366.1 565.9 43.5 366.7 578.8 44.3 367.2 586.5 44.8 367.8 597.5 44.9 368.4 619.3 46.0 369.0 635.8 45.1 369.6 649.9 46.0 370.2 666.4 45.7 370.8 685.6 45.4 371.3 704.8 46.4 371.9 721.6 46.8 372.5 742.1 47.0 373.1 768.8 47.2 373.7 786.5 47.0 374.3 807.2 46.8 374.8 840.0 46.2 375.4 870.8 45.5 376.0 898.7 45.2 376.6 923.5 45.0 377.2 953.5 44.9 377.8 981.8 46.0 378.4 1001.8 45.6 378.9 1022.4 44.7 379.5 1038.3 46.9 380.1 1048.8 47.0 380.7 1070.9 47.0 381.3 1090.5 47.8 381.9 1120.5 48.6 382.4 1149.1 47.5 383.0 1175.7 47.1 383.6 1201.7 47.7 384.2 1235.3 46.7 384.8 1278.3 46.0 385.4 1311.3 46.6 386.0 1337.9 45.9 386.5 1375.3 47.1 387.1 1400.6 47.5 387.7 1420.3 48.0 388.3 1441.2 47.9 388.9 1463.4 49.0 389.5 1493.5 49.9 390.0 1511.8 48.5 390.6 1539.0 49.6 391.2 1556.8 51.9 391.8 1564.3 52.3 392.4 1591.9 52.5 393.0 1614.1 53.2 393.5 1637.8 53.7 394.1 1669.7 53.8 394.7 1694.7 54.8 395.3 1718.5 55.8 395.9 1738.1 55.6 396.5 1756.4 55.6 397.0 1792.4 54.8 397.6 1810.5 53.6 398.2 1856.7 55.7 398.8 1902.2 56.4 399.4 1922.2 55.6 400.0 1946.9 57.5 400.5 1971.1 57.3 401.1 1995.3 58.2 401.7 2016.5 59.1 402.3 2039.5 60.6 402.9 2067.0 62.2 403.5 2073.1 62.5 404.0 2094.0 63.5 404.6 2127.6 64.9 405.2 2143.2 63.6 405.8 2183.8 65.1 406.4 2204.2 64.6 407.0 2244.9 64.3 407.5 2276.3 65.7 408.1 2309.0 65.9 408.7 2336.2 65.2 409.3 2357.0 66.1 409.9 2397.4 65.3 410.5 2442.4 66.5 411.0 2495.8 67.5 411.6 2564.5 68.2 412.2 2622.7 68.8 412.8 2692.2 68.2 413.4 2766.0 68.2 414.0 2828.7 69.0 414.5 2906.1 68.1 415.1 2947.7 69.7 415.7 2992.7 69.5 416.3 3019.9 69.1 416.9 3073.0 70.6 417.5 3085.9 71.0 418.0 3095.1 72.7 418.6 3113.6 74.4 419.2 3184.2 74.4 419.8 3180.8 76.3 420.4 3181.2 78.0 420.9 3254.3 78.5 421.5 3275.7 78.3 422.1 3308.4 78.1 422.7 3385.2 78.2 423.3 3492.7 76.4 423.9 3599.5 76.9 424.4 3648.8 77.6 425.0 3723.2 76.8 425.6 3810.1 75.5 426.2 3826.5 76.2 426.8 3885.6 78.2 427.3 3916.0 78.7 427.9 3951.9 80.6 428.5 3938.6 82.0 429.1 3907.3 82.0 429.7 3904.6 84.0 430.3 3931.8 83.5 430.8 3964.9 83.8 431.4 3996.3 85.7 432.0 4025.4 84.8 432.6 4057.4 85.5 433.2 4085.8 86.1 433.7 4115.0 87.3 434.3 4144.2 86.6 434.9 4174.1 86.1 435.5 4200.3 88.4 436.1 4233.6 89.1 436.7 4258.4 89.2 437.2 4293.4 91.9 437.8 4319.9 91.7 438.4 4351.1 91.5 439.0 4387.0 93.4 439.6 4425.7 94.3 440.1 4462.4 93.9 440.7 4507.3 95.2 441.3 4550.5 96.3 441.9 4603.1 96.5 442.5 4656.2 95.8 443.0 4717.7 97.3 443.6 4781.3 98.5 444.2 4845.0 96.5 444.8 4910.4 97.5 445.4 4991.0 99.0 445.9 5074.8 97.7 446.5 5155.4 97.8 447.1 5235.4 96.8 447.7 5319.7 98.7 448.3 5397.0 99.4 448.8 5479.5 99.1 449.4 5564.8 99.8 450.0 5647.1 102.0 450.6 5721.4 101.7 451.2 5786.8 102.8 451.7 5866.3 103.0 452.3 5944.3 103.6 452.9 6013.4 102.8 453.5 6089.2 101.9 454.1 6156.0 102.2 454.6 6219.5 102.7 455.2 6283.7 103.0 455.8 6348.2 104.7 456.4 6413.7 104.1 457.0 6471.5 105.1 457.5 6534.0 107.1 458.1 6600.0 107.9 458.7 6663.2 108.7 459.3 6727.2 109.0 459.9 6798.9 109.9 460.4 6874.9 108.4 461.0 6950.8 108.3 461.6 7027.2 109.5 462.2 7110.5 111.0 462.8 7193.9 110.9 463.3 7273.0 111.7 463.9 7364.8 112.7 464.5 7453.7 116.1 465.1 7550.2 116.4 465.7 7653.1 116.5 466.2 7749.7 118.8 466.8 7852.9 119.1 467.4 7958.3 118.9 468.0 8066.2 120.5 468.6 8183.8 120.0 469.1 8292.9 120.9 469.7 8409.0 120.1 470.3 8513.9 120.4 470.9 8592.9 122.2 471.5 8676.3 121.1 472.0 8767.1 121.9 472.6 8833.3 121.3 473.2 8903.8 120.7 473.8 8974.2 122.3 474.3 9033.5 122.8 474.9 9087.2 122.8 475.5 9131.5 124.0 476.1 9192.7 124.9 476.7 9247.1 124.9 477.2 9269.9 125.9 477.8 9308.7 127.9 478.4 9331.0 129.0 479.0 9343.7 128.8 479.6 9361.0 128.4 480.1 9371.6 127.3 480.7 9388.6 128.5 481.3 9395.9 129.9 481.9 9409.9 130.4 482.4 9429.7 130.5 483.0 9445.3 131.7 483.6 9467.8 131.6 484.2 9496.4 131.7 484.8 9515.4 132.1 485.3 9538.7 133.4 485.9 9560.9 133.2 486.5 9573.2 134.2 487.1 9581.9 135.3 487.6 9605.0 136.2 488.2 9615.3 136.0 488.8 9631.0 137.0 489.4 9634.4 137.6 490.0 9650.6 137.7 490.5 9664.9 138.3 491.1 9668.4 138.4 491.7 9692.5 136.0 492.3 9706.1 137.6 492.8 9714.9 136.6 493.4 9726.7 136.7 494.0 9730.3 137.3 494.6 9741.4 138.2 495.2 9737.8 140.9 495.7 9728.4 143.1 496.3 9708.6 143.4 496.9 9698.0 146.3 497.5 9690.9 146.2 498.0 9674.0 147.0 498.6 9661.1 148.5 499.2 9634.6 149.6 499.8 9605.0 150.5 500.4 9577.3 149.9 500.9 9553.4 149.5 501.5 9535.8 152.1 502.1 9512.4 151.5 502.7 9484.9 151.5 503.2 9460.7 153.2 503.8 9431.9 153.1 504.4 9409.7 153.1 505.0 9396.7 155.0 505.5 9388.6 155.5 506.1 9375.8 156.5 506.7 9376.3 156.7 507.3 9373.2 156.8 507.8 9379.1 158.5 508.4 9394.5 159.4 509.0 9418.5 159.0 509.6 9454.7 158.9 510.2 9475.0 158.0 510.7 9499.4 159.6 511.3 9529.2 158.3 511.9 9571.9 157.5 512.5 9612.2 158.4 513.0 9648.9 157.4 513.6 9692.2 157.9 514.2 9742.0 159.4 514.8 9787.3 160.5 515.3 9836.0 161.7 515.9 9909.7 161.1 516.5 9980.1 163.0 517.1 10041.7 164.5 517.6 10109.0 166.0 518.2 10166.8 166.9 518.8 10216.9 167.7 519.4 10260.5 169.5 519.9 10305.9 171.6 520.5 10364.9 172.8 521.1 10394.2 175.4 521.7 10429.3 176.7 522.3 10455.4 178.4 522.8 10471.5 182.0 523.4 10489.0 187.0 524.0 10512.9 190.2 524.6 10534.7 192.0 525.1 10550.6 196.2 525.7 10565.4 202.8 526.3 10585.7 211.5 526.9 10609.6 221.4 527.4 10630.2 233.1 528.0 10655.5 247.2 528.6 10700.9 264.2 529.2 10733.4 285.8 529.7 10770.9 314.4 530.3 10815.9 347.6 530.9 10847.0 385.1 531.5 10867.1 428.0 532.0 10889.6 479.0 532.6 10918.6 539.4 533.2 10945.5 608.2 533.8 10967.2 684.8 534.3 11003.4 773.5 534.9 11039.9 872.5 535.5 11062.8 982.5 536.1 11110.5 1107.1 536.6 11175.8 1239.0 537.2 11227.1 1388.4 537.8 11282.3 1548.1 538.4 11353.7 1719.9 538.9 11426.0 1910.5 539.5 11488.2 2114.6 540.1 11558.9 2327.9 540.7 11640.1 2550.9 541.2 11698.4 2787.5 541.8 11766.0 3040.9 542.4 11838.6 3297.2 542.9 11919.5 3563.5 543.5 11986.7 3836.9 544.1 12046.0 4117.0 544.7 12115.6 4399.5 545.2 12172.9 4693.5 545.8 12218.2 4987.2 546.4 12280.3 5281.7 547.0 12341.8 5573.2 547.5 12412.0 5873.4 548.1 12469.7 6179.8 548.7 12520.0 6482.6 549.3 12570.8 6779.3 549.8 12611.9 7067.2 550.4 12644.9 7349.0 551.0 12702.8 7632.6 551.6 12745.4 7918.8 552.1 12774.5 8194.9 552.7 12789.0 8452.6 553.3 12816.9 8691.6 553.9 12836.5 8922.0 554.4 12861.2 9151.7 555.0 12881.1 9374.0 555.6 12906.3 9579.3 556.1 12923.4 9767.5 556.7 12942.1 9937.1 557.3 12943.1 10105.0 557.9 12952.6 10266.6 558.4 12954.2 10401.8 559.0 12973.9 10528.6 559.6 12989.7 10645.2 560.2 13012.2 10751.9 560.7 13024.3 10852.1 561.3 13034.8 10950.4 561.9 13051.4 11031.6 562.4 13080.6 11095.3 563.0 13110.6 11146.7 563.6 13140.5 11211.6 564.2 13160.9 11269.4 564.7 13184.3 11304.4 565.3 13213.0 11336.5 565.9 13262.2 11350.3 566.5 13290.1 11343.1 567.0 13321.0 11341.8 567.6 13354.5 11336.7 568.2 13395.4 11330.6 568.7 13437.4 11321.7 569.3 13474.7 11291.4 569.9 13515.9 11262.2 570.5 13551.0 11218.3 571.0 13575.9 11193.5 571.6 13625.4 11187.8 572.2 13664.9 11170.1 572.8 13699.6 11151.0 573.3 13726.8 11131.7 573.9 13751.7 11104.1 574.5 13784.6 11096.1 575.0 13813.4 11092.7 575.6 13832.8 11099.3 576.2 13852.3 11105.9 576.8 13857.3 11097.6 577.3 13864.6 11101.1 577.9 13877.4 11108.2 578.5 13887.7 11120.8 579.0 13866.1 11143.5 579.6 13857.9 11163.0 580.2 13843.4 11173.7 580.8 13837.6 11184.4 581.3 13822.7 11183.5 581.9 13807.1 11184.1 582.5 13783.8 11174.3 583.0 13752.2 11175.1 583.6 13705.9 11164.0 584.2 13693.3 11144.8 584.8 13655.2 11116.5 585.3 13617.2 11086.8 585.9 13560.6 11066.6 586.5 13509.2 11046.3 587.0 13442.7 11022.4 587.6 13383.6 11010.7 588.2 13318.6 10982.8 588.8 13259.4 10947.2 589.3 13195.1 10917.5 589.9 13119.1 10894.9 590.5 13038.2 10880.3 591.0 12958.8 10852.4 591.6 12889.6 10828.1 592.2 12839.2 10799.3 592.8 12780.1 10759.5 593.3 12732.5 10724.3 593.9 12681.9 10700.8 594.5 12629.7 10671.2 595.0 12594.0 10642.9 595.6 12567.0 10609.2 596.2 12556.4 10570.1 596.8 12539.4 10526.1 597.3 12518.5 10488.7 597.9 12496.9 10447.6 598.5 12479.9 10401.7 599.0 12472.9 10357.7 599.6 12470.5 10307.2 600.2 12468.9 10256.7 600.7 12460.8 10208.0 601.3 12449.2 10163.7 601.9 12428.1 10116.1 602.5 12407.9 10076.3 603.0 12392.9 10032.8 603.6 12368.7 9990.6 604.2 12353.8 9940.5 604.7 12325.6 9896.8 605.3 12290.2 9847.8 605.9 12259.6 9796.6 606.4 12227.9 9754.8 607.0 12206.6 9715.2 607.6 12182.5 9676.2 608.2 12162.7 9640.4 608.7 12146.7 9601.9 609.3 12098.2 9574.1 609.9 12062.2 9539.5 610.4 12036.5 9513.9 611.0 12004.4 9495.7 611.6 11978.7 9469.3 612.1 11952.7 9447.3 612.7 11918.2 9428.4 613.3 11867.2 9412.5 613.8 11823.2 9408.5 614.4 11800.1 9393.6 615.0 11772.2 9393.9 615.6 11738.6 9396.6 616.1 11709.0 9396.1 616.7 11666.2 9408.1 617.3 11620.8 9427.2 617.8 11580.7 9441.0 618.4 11548.1 9457.7 619.0 11505.1 9478.5 619.5 11455.1 9512.3 620.1 11402.6 9544.2 620.7 11349.2 9576.0 621.2 11291.8 9618.0 621.8 11230.5 9660.5 622.4 11164.7 9702.2 623.0 11116.6 9745.3 623.5 11066.0 9778.1 624.1 11012.5 9779.3 624.7 10963.6 9820.6 625.2 10905.9 9866.4 625.8 10854.2 9908.6 626.4 10799.6 9935.2 626.9 10769.1 9945.4 627.5 10728.9 9957.7 628.1 10681.6 9959.4 628.6 10638.3 9975.6 629.2 10603.0 10016.1 629.8 10563.4 10008.9 630.3 10534.2 9992.0 630.9 10504.8 9978.6 631.5 10480.0 9958.2 632.0 10438.3 9944.7 632.6 10411.7 9924.3 633.2 10395.6 9906.9 633.7 10379.9 9878.0 634.3 10358.6 9852.7 634.9 10349.5 9822.7 635.5 10346.4 9792.4 636.0 10343.0 9757.4 636.6 10349.0 9723.8 637.2 10368.0 9696.8 637.7 10384.5 9660.8 638.3 10397.4 9630.6 638.9 10413.3 9606.2 639.4 10435.4 9574.7 640.0 10454.5 9546.2 640.6 10483.8 9514.6 641.1 10520.9 9483.3 641.7 10557.1 9454.2 642.3 10591.5 9421.7 642.8 10638.5 9394.7 643.4 10688.1 9360.2 644.0 10723.3 9332.2 644.5 10732.2 9302.7 645.1 10787.5 9268.8 645.7 10829.3 9238.3 646.2 10866.5 9202.9 646.8 10896.2 9175.0 647.4 10914.2 9148.4 647.9 10928.2 9122.6 648.5 10931.4 9103.9 649.1 10950.2 9073.1 649.6 10989.9 9044.4 650.2 10978.5 9027.6 650.8 10967.2 9007.2 651.3 10959.9 8991.1 651.9 10944.7 8974.2 652.5 10937.7 8951.5 653.0 10916.6 8933.7 653.6 10892.6 8919.3 654.2 10867.4 8901.1 654.7 10843.4 8889.1 655.3 10812.6 8868.1 655.9 10783.6 8853.2 656.4 10747.2 8837.8 657.0 10717.7 8825.0 657.6 10681.2 8811.6 658.1 10653.0 8797.9 658.7 10620.8 8781.9 659.3 10593.9 8778.1 659.8 10563.5 8764.5 660.4 10541.8 8759.1 661.0 10512.8 8753.5 661.5 10480.6 8750.3 662.1 10443.1 8748.2 662.7 10412.5 8744.2 663.2 10381.8 8738.1 663.8 10346.0 8732.4 664.4 10317.0 8721.4 664.9 10282.2 8719.5 665.5 10249.3 8715.3 666.1 10208.6 8709.5 666.6 10175.8 8702.2 667.2 10147.8 8697.5 667.7 10117.1 8695.3 668.3 10088.0 8688.8 668.9 10063.3 8694.2 669.4 10031.4 8706.5 670.0 10010.4 8708.7 670.6 9982.7 8719.5 671.1 9966.8 8729.9 671.7 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