Beam Text May 17 2012
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Preparation
0. MATLAB emittance analysis: (working?) -- yes
1. Magnets: --Working
2. Camera: (a)--Working, (b)--shielding-good,(c) Sync? -- good
3. Flags: --Working
4. Farady Cup: hocked up? --yes
5. Blank off for camera on? --good
6. Gas bottle for valve full? --Yes
7. Gas bottle for flags full? --Yes
8. 3 Pickup Coils (Green Torroids): (1)@gun: hocked-up; (2)@accelerator exit: hocked-up to 2 red strip wire. Now connected to linac monitor panel which labeled as "J12 from back", "Scan field Mon" from front. (3)@end of beamline:
Start List
1) Valve exit of cavity opened?
2) Faraday cups are hocked up?
3) Target in?
4) Start the camera? Turn light on and off, observe if camera working. Load run script from "C:\Documents and Settings\sadiq\My Documents\26Apr2012\Camera_Settings".
Camera triggering issue
1. camera is triggered by something?
2. When camera trig is plugged into pulse generator, pulse generator set to trigger externally, but no external trigger connected to pulse generator, and Klystron HV is on, camera triggers.
3. Is camera being triggered by the noise created by the Klystron HV?
4. We have camera grounding issue.
can not bend the beam
Wrong polarity on the dipole. To switch the polarity on the dipole, we need turn on the power supply for the relays.
Energy Scan at 15 esh MeV
1. Tuning
| Energy Switch | Out (High En Range) |
| Dipole Coil Current | |
| e- Beam Energy () | MeV (mapping ) |
| Solenoid 1 | 12.9 A |
| Solenoid 2 | 13.7 A |
| Gun Hor | 0.1 A |
| Gun Ver | 0.2 A |
| Output Hor | -0.4 A |
| Output Ver | 0.0 A |
| Rep Rate | 63 |
| Gun HV | 8.97(Knob Setting) |
| Gun Grid Voltage | 10 (Knob Setting) |
| RF frequency | 2856.291 MHz |
| Modulator HV Power Supply | 4.84 (Knob Setting) |
| RF macro Pulse Length (FWHM) | 200 ns |
| Q1 (A) | 0 |
| Q2 (A) | 0 |
| Q3 (A) | 0 |
| Q4 (A) | 0 |
| Q5 (A) | 0 |
| Q6 (A) | 0 |
| Peak Current on FC 1 (45 deg) | 114 mAmps 400 px |
| Peak Current on FC 2 (45 deg) | mAmps |
| Scope on FC 1 | 200 px |
| Scope on FC 2 | 200 px |
| Beam Spot |
En Scan
Dipole FC En Coil Current Current Reading (A) (mA) (MeV) 27 1.264 13.5305 28 1.596 13.9129 29 2.336 14.2850 30 3.7 14.6469 30.5 4.18 14.8240 31 4.7 14.9985 31.5 7.26 15.1704 32 8.56 15.3398
Gaussian Fit for Electron Beam Energy:
Quad Scanning for Emittance
En Scan at 15.6004336 MeV. Q1 is on, All other quads are off. 88.8 mAmp Peak Current.
1) Scan from -10 Amps to 10 Amps
2) Increment at 0.4 Amps.
3) Name images by numbers start from 1. Then go on.
Like: -10 Amp is 1, -9.6 Amp is 2, and so on til 10 Amp is named 51.
4) Scan multipole (10) times from -10 to 10 Amps, and put them in different folders.
5) For each time, take back ground images. It should be done when RF is on and gun is off.
6) After the scan take a scope image for the current of the FC after the OTR screen.
Scan with Q1
After scan, put the files Run "Emit_Calc_N10toP10_Q1" under "C:\Documents and Settings\sadiq\My Documents\MATLAB\Emit_Calc\15MeV\Q1" directory.
Scan with Q6
After scan, put the files Run "Emit_Calc_N10toP10_Q6" under "C:\Documents and Settings\sadiq\My Documents\MATLAB\Emit_Calc\15MeV\Q1" directory.
Dipole Scanning for Energy Measurement
Energy Scan at Low Energy 8 MeV esh
1. Tuning
Energy switch is in, linac operates at low energy
| Energy Switch | In (Low En Range) |
| Dipole Coil Current | |
| nominal e- Beam Energy () | MeV (mapping ) |
| Solenoid 1 | 12.1 A |
| Solenoid 2 | 9.6 A |
| Gun Hor | + 0.3 A |
| Gun Ver | 0 A |
| Output Hor | + 0.6 A |
| Output Ver | + 0.3 A |
| Rep Rate | 63 |
| Gun HV | 8.99(Knob Setting) |
| Gun Grid Voltage | 10 (Knob Setting) |
| RF frequency | 2856.388 MHz |
| Modulator HV Power Supply | 4.185 (Knob Setting) |
| RF macro Pulse Length (FWHM) | 200 ns |
| Q1 (A) | 0 |
| Q2 (A) | 0 |
| Q3 (A) | 0 |
| Q4 (A) | 0 |
| Q5 (A) | 0 |
| Q6 (A) | 0 |
| Scope on FC 1 | 99.2 mA 200 px |
| Scope on FC 2 | 200 px |
| Beam Spot |
Energy Scan
Dipole FC En Coil Current Current Reading (A) (mA) (MeV) 12 1.712 6.5610 12.5 3.344 6.8305 13 6.72 7.0975 13.5 9.44 7.3620 14 20 7.6238 14.5 33.12 7.8831 15 33.6 8.1399 15.3 28.64 8.2927 15.5 24.56 8.3940 15.7 20.88 8.4950 16 16.4 8.6456 16.2 12.48 8.7455 16.5 9.36 8.8946 16.7 6.48 8.9935 17 3.94 9.1411 17.3 1.968 9.2877 17.5 1.368 9.3849 17.8 0.936 9.5300 18 0.648 9.6262 19 0.332 10.1012 20 0.332 10.5658
Amplitude = 32.53163, mean = 8.06509, sigma = 0.49500
Gaussian Fit for Electron Beam Energy: En = 32.53163exp(-(En-8.06509)^2) / (2*0.49500^2)
Gaussian Energy peak = 8.06509
Energy spread = 2.97002 rms Energy spread = 0.49500
Relative Energy spread = 0.36826 Relative rms Energy spread = 0.06138
Quad Scanning for Emittance
En Scan at 15.6004336 MeV. Q1 is on, All other quads are off. 88.8 mAmp Peak Current.
1) Scan from -10 Amps to 10 Amps
2) Increment at 0.4 Amps.
3) Name images by numbers start from 1. Then go on.
Like: -10 Amp is 1, -9.6 Amp is 2, and so on til 10 Amp is named 51.
4) Scan multipole (10) times from -10 to 10 Amps, and put them in different folders.
5) For each time, take back ground images. It should be done when RF is on and gun is off.
6) After the scan take a scope image for the current of the FC after the OTR screen.
Dipole Scanning for Energy Measurement
Energy Scan at Low Energy 4 MeV esh
1. Tuning
Energy switch is in, linac operates at low energy
| Energy Switch | In (Low En Range) |
| Dipole Coil Current | |
| nominal e- Beam Energy () | 3 MeV (mapping ) |
| Solenoid 1 | 7.0 A |
| Solenoid 2 | 4.1 A |
| Gun Hor | 0.0 A |
| Gun Ver | 0.0 A |
| Output Hor | -0.1 A |
| Output Ver | -0.1 A |
| Rep Rate | 63 |
| Gun HV | 8.99(Knob Setting) |
| Gun Grid Voltage | 10 (Knob Setting) |
| RF frequency | 2856.284 MHz |
| Modulator HV Power Supply | 3.85 (Knob Setting) |
| RF macro Pulse Length (FWHM) | 200 ns |
| Q1 (A) | 0 |
| Q2 (A) | 0 |
| Q3 (A) | 0 |
| Q4 (A) | 0 |
| Q5 (A) | 0 |
| Q6 (A) | 0 |
| Scope on FC 1 | 34.2 mA 200 px |
| Scope on FC 2 | 200 px |
| Beam Spot | 200 px |
Energy Scan
Dipole FC En Coil Current Current Reading (A) (mA) (MeV) 4 0.592 1.8985 4.5 0.86 2.2091 5 1.54 2.5172 5.5 2.4 2.8228 6 3.7 3.1257 6.5 4.82 3.4261 7 5.94 3.7240 7.5 6.54 4.0192 8 6.84 4.3119 8.5 6.1 4.6021 9 4.9 4.8896 9.5 2.76 5.1746 10 1.48 5.4570 10.5 0.296 5.7369
Amplitude = 6.86024, mean = 4.08829, sigma = 0.84597
Gaussian Fit for Electron Beam Energy: En = 6.86024exp(-(En-4.08829)^2) / (2*0.84597^2)
Gaussian Energy peak = 4.08829
Energy spread = 5.07582 rms Energy spread = 0.84597
Relative Energy spread = 1.24155 Relative rms Energy spread = 0.20693
Energy Scan at Low Energy 12 MeV esh
1. Tuning
Energy switch is out, linac operates at high energy range.
| Energy Switch | Out(High En Range) |
| Dipole Coil Current | |
| nominal e- Beam Energy () | 12 MeV (mapping ) |
| Solenoid 1 | 6.9 A |
| Solenoid 2 | 5.2 A |
| Gun Hor | 0.1 A |
| Gun Ver | 0.0 A |
| Output Hor | -0.2 A |
| Output Ver | 0.5 A |
| Rep Rate | 63 |
| Gun HV | 8.99(Knob Setting) |
| Gun Grid Voltage | 10 (Knob Setting) |
| RF frequency | 2856.262 MHz |
| Modulator HV Power Supply | 4.24 (Knob Setting) |
| RF macro Pulse Length (FWHM) | 200 ns |
| Q1 (A) | 0 |
| Q2 (A) | 0 |
| Q3 (A) | 0 |
| Q4 (A) | 0 |
| Q5 (A) | 0 |
| Q6 (A) | 0 |
| Scope on FC 1 | 67.2 mA 200 px |
| Scope on FC 2 | 200 px |
| Beam Spot |
Energy Scan
Dipole FC En Coil Current Current Reading (A) (mA) (MeV) 8 0.5 4.3119 0.40 9 0.6 4.8896 0.96 10 0.67 5.4570 0.20 11 0.716 6.0141 0.06 12 0.752 6.5610 0.08 13 0.828 7.0975 0.09 14 0.896 7.6238 0.05 15 1.112 8.1399 0.06 16 1.328 8.6456 0.08 17 1.624 9.1411 0.10 18 1.896 9.6262 0.10 19 2.448 10.1012 0.14 20 3.36 10.5658 0.21 21 4.82 11.0201 0.13 22 6.58 11.4642 0.33 22.2 7.88 11.5518 0.50 22.5 9.24 11.6824 0.58 22.7 10.0 11.7690 0.67 23 10.2 11.8980 0.59 23.1 11.2 11.9408 0.62 23.2 11.56 11.9836 0.68 23.3 13.04 12.0262 0.78 23.5 13.2 12.1111 0.90 23.8 13.04 12.2377 0.77 24 13.48 12.3216 0.84 24.2 12.36 12.4050 0.74 24.5 11.24 12.5295 0.74 24.7 10.2 12.6119 0.64 25 10.28 12.7348 0.77 25.1 8.6 12.7756 0.53 25.2 6.92 12.8162 0.38 25.5 6.2 12.9376 0.47 25.7 4.84 13.0180 0.25 26 3.64 13.1378 0.28 26.5 1.82 13.3354 0.13 27 1.28 13.5305 0.09 28 0.56 13.9129 0.04 29 0.364 14.2850 0.02 30 0.364 14.6469 0.02
Gaussian Fit
Amplitude = 12.67337, mean = 12.17422, sigma = 0.65747
Gaussian Fit for Electron Beam Energy: En = 12.67337exp(-(En-12.17422)^2) / (2*0.65747^2)
Gaussian Energy peak = 12.17422
Energy spread = 3.94481 rms Energy spread = 0.65747
Relative Energy spread = 0.32403 Relative rms Energy spread = 0.05401
2 Skewed Gaussian Fit
Beam Distributions Beyond RMS: Media:Beam_Distributions_Beyond_RMS.pdf
Amplitude = 2.13894, mean = 12.07181, sigma_L = 4.46986, sigma_R = 1.20046
Sigma = 2.83516, Es = -0.57658
rms = 2.56472, skew = -0.94853
Amplitude2 = 10.88318, mean2 = 12.32332, sigma_L2 = 0.69709, sigma_R2 = 0.45170
Sigma2 = 0.57440, Es2 = -0.21360
rms2 = 0.56719, skew2 = -0.34231
Scripts
Asyymetric Gaussian Fit_overLinearFit
Media:En_Fit_Assym_Gau_over_liear.txt
Media:Assym_Gau_over_linear_devsum.txt
Asyymetric Gaussian Fit
Data from this fit
4.0000 0.4189 4.0100 0.4206 4.0200 0.4223 4.0300 0.4240 4.0400 0.4257 4.0500 0.4274 4.0600 0.4291 4.0700 0.4308 4.0800 0.4326 4.0900 0.4343 4.1000 0.4360 4.1100 0.4378 4.1200 0.4395 4.1300 0.4413 4.1400 0.4430 4.1500 0.4448 4.1600 0.4465 4.1700 0.4483 4.1800 0.4501 4.1900 0.4519 4.2000 0.4537 4.2100 0.4555 4.2200 0.4572 4.2300 0.4590 4.2400 0.4608 4.2500 0.4627 4.2600 0.4645 4.2700 0.4663 4.2800 0.4681 4.2900 0.4699 4.3000 0.4718 4.3100 0.4736 4.3200 0.4755 4.3300 0.4773 4.3400 0.4792 4.3500 0.4810 4.3600 0.4829 4.3700 0.4847 4.3800 0.4866 4.3900 0.4885 4.4000 0.4904 4.4100 0.4922 4.4200 0.4941 4.4300 0.4960 4.4400 0.4979 4.4500 0.4998 4.4600 0.5017 4.4700 0.5037 4.4800 0.5056 4.4900 0.5075 4.5000 0.5094 4.5100 0.5114 4.5200 0.5133 4.5300 0.5152 4.5400 0.5172 4.5500 0.5191 4.5600 0.5211 4.5700 0.5231 4.5800 0.5250 4.5900 0.5270 4.6000 0.5290 4.6100 0.5310 4.6200 0.5329 4.6300 0.5349 4.6400 0.5369 4.6500 0.5389 4.6600 0.5409 4.6700 0.5429 4.6800 0.5450 4.6900 0.5470 4.7000 0.5490 4.7100 0.5510 4.7200 0.5531 4.7300 0.5551 4.7400 0.5571 4.7500 0.5592 4.7600 0.5612 4.7700 0.5633 4.7800 0.5654 4.7900 0.5674 4.8000 0.5695 4.8100 0.5716 4.8200 0.5736 4.8300 0.5757 4.8400 0.5778 4.8500 0.5799 4.8600 0.5820 4.8700 0.5841 4.8800 0.5862 4.8900 0.5883 4.9000 0.5904 4.9100 0.5926 4.9200 0.5947 4.9300 0.5968 4.9400 0.5990 4.9500 0.6011 4.9600 0.6032 4.9700 0.6054 4.9800 0.6076 4.9900 0.6097 5.0000 0.6119 5.0100 0.6140 5.0200 0.6162 5.0300 0.6184 5.0400 0.6206 5.0500 0.6228 5.0600 0.6250 5.0700 0.6271 5.0800 0.6293 5.0900 0.6316 5.1000 0.6338 5.1100 0.6360 5.1200 0.6382 5.1300 0.6404 5.1400 0.6426 5.1500 0.6449 5.1600 0.6471 5.1700 0.6494 5.1800 0.6516 5.1900 0.6538 5.2000 0.6561 5.2100 0.6584 5.2200 0.6606 5.2300 0.6629 5.2400 0.6652 5.2500 0.6674 5.2600 0.6697 5.2700 0.6720 5.2800 0.6743 5.2900 0.6766 5.3000 0.6789 5.3100 0.6812 5.3200 0.6835 5.3300 0.6858 5.3400 0.6881 5.3500 0.6905 5.3600 0.6928 5.3700 0.6951 5.3800 0.6974 5.3900 0.6998 5.4000 0.7021 5.4100 0.7045 5.4200 0.7068 5.4300 0.7092 5.4400 0.7115 5.4500 0.7139 5.4600 0.7163 5.4700 0.7186 5.4800 0.7210 5.4900 0.7234 5.5000 0.7258 5.5100 0.7282 5.5200 0.7306 5.5300 0.7330 5.5400 0.7354 5.5500 0.7378 5.5600 0.7402 5.5700 0.7426 5.5800 0.7450 5.5900 0.7474 5.6000 0.7499 5.6100 0.7523 5.6200 0.7547 5.6300 0.7572 5.6400 0.7596 5.6500 0.7621 5.6600 0.7645 5.6700 0.7670 5.6800 0.7694 5.6900 0.7719 5.7000 0.7744 5.7100 0.7768 5.7200 0.7793 5.7300 0.7818 5.7400 0.7843 5.7500 0.7868 5.7600 0.7892 5.7700 0.7917 5.7800 0.7942 5.7900 0.7967 5.8000 0.7992 5.8100 0.8018 5.8200 0.8043 5.8300 0.8068 5.8400 0.8093 5.8500 0.8118 5.8600 0.8144 5.8700 0.8169 5.8800 0.8194 5.8900 0.8220 5.9000 0.8245 5.9100 0.8271 5.9200 0.8296 5.9300 0.8322 5.9400 0.8347 5.9500 0.8373 5.9600 0.8399 5.9700 0.8424 5.9800 0.8450 5.9900 0.8476 6.0000 0.8502 6.0100 0.8528 6.0200 0.8554 6.0300 0.8580 6.0400 0.8605 6.0500 0.8631 6.0600 0.8658 6.0700 0.8684 6.0800 0.8710 6.0900 0.8736 6.1000 0.8762 6.1100 0.8788 6.1200 0.8814 6.1300 0.8841 6.1400 0.8867 6.1500 0.8893 6.1600 0.8920 6.1700 0.8946 6.1800 0.8973 6.1900 0.8999 6.2000 0.9026 6.2100 0.9052 6.2200 0.9079 6.2300 0.9105 6.2400 0.9132 6.2500 0.9159 6.2600 0.9185 6.2700 0.9212 6.2800 0.9239 6.2900 0.9266 6.3000 0.9292 6.3100 0.9319 6.3200 0.9346 6.3300 0.9373 6.3400 0.9400 6.3500 0.9427 6.3600 0.9454 6.3700 0.9481 6.3800 0.9508 6.3900 0.9535 6.4000 0.9562 6.4100 0.9590 6.4200 0.9617 6.4300 0.9644 6.4400 0.9671 6.4500 0.9698 6.4600 0.9726 6.4700 0.9753 6.4800 0.9780 6.4900 0.9808 6.5000 0.9835 6.5100 0.9863 6.5200 0.9890 6.5300 0.9918 6.5400 0.9945 6.5500 0.9973 6.5600 1.0000 6.5700 1.0028 6.5800 1.0056 6.5900 1.0083 6.6000 1.0111 6.6100 1.0139 6.6200 1.0166 6.6300 1.0194 6.6400 1.0222 6.6500 1.0250 6.6600 1.0277 6.6700 1.0305 6.6800 1.0333 6.6900 1.0361 6.7000 1.0389 6.7100 1.0417 6.7200 1.0445 6.7300 1.0473 6.7400 1.0501 6.7500 1.0529 6.7600 1.0557 6.7700 1.0585 6.7800 1.0613 6.7900 1.0641 6.8000 1.0669 6.8100 1.0698 6.8200 1.0726 6.8300 1.0754 6.8400 1.0782 6.8500 1.0810 6.8600 1.0839 6.8700 1.0867 6.8800 1.0895 6.8900 1.0924 6.9000 1.0952 6.9100 1.0980 6.9200 1.1009 6.9300 1.1037 6.9400 1.1066 6.9500 1.1094 6.9600 1.1122 6.9700 1.1151 6.9800 1.1179 6.9900 1.1208 7.0000 1.1236 7.0100 1.1265 7.0200 1.1293 7.0300 1.1322 7.0400 1.1351 7.0500 1.1379 7.0600 1.1408 7.0700 1.1436 7.0800 1.1465 7.0900 1.1494 7.1000 1.1522 7.1100 1.1551 7.1200 1.1580 7.1300 1.1608 7.1400 1.1637 7.1500 1.1666 7.1600 1.1695 7.1700 1.1723 7.1800 1.1752 7.1900 1.1781 7.2000 1.1810 7.2100 1.1839 7.2200 1.1867 7.2300 1.1896 7.2400 1.1925 7.2500 1.1954 7.2600 1.1983 7.2700 1.2012 7.2800 1.2040 7.2900 1.2069 7.3000 1.2098 7.3100 1.2127 7.3200 1.2156 7.3300 1.2185 7.3400 1.2214 7.3500 1.2243 7.3600 1.2272 7.3700 1.2301 7.3800 1.2330 7.3900 1.2359 7.4000 1.2388 7.4100 1.2417 7.4200 1.2446 7.4300 1.2474 7.4400 1.2503 7.4500 1.2532 7.4600 1.2561 7.4700 1.2590 7.4800 1.2619 7.4900 1.2648 7.5000 1.2677 7.5100 1.2706 7.5200 1.2735 7.5300 1.2764 7.5400 1.2794 7.5500 1.2823 7.5600 1.2852 7.5700 1.2881 7.5800 1.2910 7.5900 1.2939 7.6000 1.2968 7.6100 1.2997 7.6200 1.3026 7.6300 1.3055 7.6400 1.3084 7.6500 1.3113 7.6600 1.3142 7.6700 1.3171 7.6800 1.3200 7.6900 1.3229 7.7000 1.3258 7.7100 1.3287 7.7200 1.3316 7.7300 1.3345 7.7400 1.3374 7.7500 1.3403 7.7600 1.3432 7.7700 1.3461 7.7800 1.3490 7.7900 1.3519 7.8000 1.3548 7.8100 1.3577 7.8200 1.3606 7.8300 1.3635 7.8400 1.3664 7.8500 1.3692 7.8600 1.3721 7.8700 1.3750 7.8800 1.3779 7.8900 1.3808 7.9000 1.3837 7.9100 1.3866 7.9200 1.3895 7.9300 1.3924 7.9400 1.3953 7.9500 1.3981 7.9600 1.4010 7.9700 1.4039 7.9800 1.4068 7.9900 1.4097 8.0000 1.4125 8.0100 1.4154 8.0200 1.4183 8.0300 1.4212 8.0400 1.4241 8.0500 1.4269 8.0600 1.4298 8.0700 1.4327 8.0800 1.4355 8.0900 1.4384 8.1000 1.4413 8.1100 1.4441 8.1200 1.4470 8.1300 1.4499 8.1400 1.4527 8.1500 1.4556 8.1600 1.4584 8.1700 1.4613 8.1800 1.4641 8.1900 1.4670 8.2000 1.4698 8.2100 1.4727 8.2200 1.4755 8.2300 1.4784 8.2400 1.4812 8.2500 1.4841 8.2600 1.4869 8.2700 1.4897 8.2800 1.4926 8.2900 1.4954 8.3000 1.4982 8.3100 1.5011 8.3200 1.5039 8.3300 1.5067 8.3400 1.5095 8.3500 1.5123 8.3600 1.5152 8.3700 1.5180 8.3800 1.5208 8.3900 1.5236 8.4000 1.5264 8.4100 1.5292 8.4200 1.5320 8.4300 1.5348 8.4400 1.5376 8.4500 1.5404 8.4600 1.5432 8.4700 1.5460 8.4800 1.5488 8.4900 1.5515 8.5000 1.5543 8.5100 1.5571 8.5200 1.5599 8.5300 1.5626 8.5400 1.5654 8.5500 1.5682 8.5600 1.5709 8.5700 1.5737 8.5800 1.5765 8.5900 1.5792 8.6000 1.5820 8.6100 1.5847 8.6200 1.5875 8.6300 1.5902 8.6400 1.5929 8.6500 1.5957 8.6600 1.5984 8.6700 1.6011 8.6800 1.6039 8.6900 1.6066 8.7000 1.6093 8.7100 1.6120 8.7200 1.6147 8.7300 1.6174 8.7400 1.6201 8.7500 1.6228 8.7600 1.6255 8.7700 1.6282 8.7800 1.6309 8.7900 1.6336 8.8000 1.6363 8.8100 1.6390 8.8200 1.6417 8.8300 1.6443 8.8400 1.6470 8.8500 1.6497 8.8600 1.6523 8.8700 1.6550 8.8800 1.6576 8.8900 1.6603 8.9000 1.6629 8.9100 1.6656 8.9200 1.6682 8.9300 1.6708 8.9400 1.6735 8.9500 1.6761 8.9600 1.6787 8.9700 1.6813 8.9800 1.6840 8.9900 1.6866 9.0000 1.6892 9.0100 1.6918 9.0200 1.6944 9.0300 1.6970 9.0400 1.6996 9.0500 1.7022 9.0600 1.7047 9.0700 1.7073 9.0800 1.7099 9.0900 1.7125 9.1000 1.7150 9.1100 1.7176 9.1200 1.7202 9.1300 1.7227 9.1400 1.7253 9.1500 1.7278 9.1600 1.7304 9.1700 1.7329 9.1800 1.7355 9.1900 1.7380 9.2000 1.7405 9.2100 1.7431 9.2200 1.7456 9.2300 1.7481 9.2400 1.7506 9.2500 1.7532 9.2600 1.7557 9.2700 1.7582 9.2800 1.7607 9.2900 1.7632 9.3000 1.7657 9.3100 1.7682 9.3200 1.7707 9.3300 1.7732 9.3400 1.7757 9.3500 1.7782 9.3600 1.7807 9.3700 1.7832 9.3800 1.7857 9.3900 1.7882 9.4000 1.7907 9.4100 1.7932 9.4200 1.7956 9.4300 1.7981 9.4400 1.8006 9.4500 1.8031 9.4600 1.8056 9.4700 1.8081 9.4800 1.8106 9.4900 1.8131 9.5000 1.8156 9.5100 1.8181 9.5200 1.8206 9.5300 1.8232 9.5400 1.8257 9.5500 1.8282 9.5600 1.8307 9.5700 1.8333 9.5800 1.8358 9.5900 1.8384 9.6000 1.8409 9.6100 1.8435 9.6200 1.8461 9.6300 1.8487 9.6400 1.8513 9.6500 1.8539 9.6600 1.8565 9.6700 1.8592 9.6800 1.8618 9.6900 1.8645 9.7000 1.8672 9.7100 1.8699 9.7200 1.8726 9.7300 1.8754 9.7400 1.8782 9.7500 1.8810 9.7600 1.8838 9.7700 1.8866 9.7800 1.8895 9.7900 1.8924 9.8000 1.8953 9.8100 1.8983 9.8200 1.9013 9.8300 1.9043 9.8400 1.9074 9.8500 1.9105 9.8600 1.9136 9.8700 1.9168 9.8800 1.9200 9.8900 1.9233 9.9000 1.9266 9.9100 1.9300 9.9200 1.9335 9.9300 1.9370 9.9400 1.9405 9.9500 1.9441 9.9600 1.9478 9.9700 1.9515 9.9800 1.9554 9.9900 1.9593 10.0000 1.9632 10.0100 1.9673 10.0200 1.9714 10.0300 1.9756 10.0400 1.9799 10.0500 1.9843 10.0600 1.9888 10.0700 1.9934 10.0800 1.9981 10.0900 2.0030 10.1000 2.0079 10.1100 2.0129 10.1200 2.0181 10.1300 2.0234 10.1400 2.0289 10.1500 2.0344 10.1600 2.0402 10.1700 2.0460 10.1800 2.0521 10.1900 2.0582 10.2000 2.0646 10.2100 2.0711 10.2200 2.0778 10.2300 2.0847 10.2400 2.0918 10.2500 2.0990 10.2600 2.1065 10.2700 2.1142 10.2800 2.1221 10.2900 2.1302 10.3000 2.1385 10.3100 2.1471 10.3200 2.1559 10.3300 2.1650 10.3400 2.1744 10.3500 2.1840 10.3600 2.1939 10.3700 2.2041 10.3800 2.2145 10.3900 2.2253 10.4000 2.2364 10.4100 2.2478 10.4200 2.2595 10.4300 2.2716 10.4400 2.2840 10.4500 2.2968 10.4600 2.3100 10.4700 2.3235 10.4800 2.3374 10.4900 2.3517 10.5000 2.3664 10.5100 2.3816 10.5200 2.3972 10.5300 2.4132 10.5400 2.4296 10.5500 2.4466 10.5600 2.4640 10.5700 2.4818 10.5800 2.5002 10.5900 2.5191 10.6000 2.5385 10.6100 2.5584 10.6200 2.5789 10.6300 2.5999 10.6400 2.6215 10.6500 2.6437 10.6600 2.6665 10.6700 2.6898 10.6800 2.7138 10.6900 2.7384 10.7000 2.7636 10.7100 2.7895 10.7200 2.8160 10.7300 2.8433 10.7400 2.8712 10.7500 2.8998 10.7600 2.9291 10.7700 2.9591 10.7800 2.9899 10.7900 3.0214 10.8000 3.0536 10.8100 3.0866 10.8200 3.1204 10.8300 3.1550 10.8400 3.1904 10.8500 3.2266 10.8600 3.2637 10.8700 3.3015 10.8800 3.3402 10.8900 3.3798 10.9000 3.4202 10.9100 3.4615 10.9200 3.5037 10.9300 3.5468 10.9400 3.5907 10.9500 3.6356 10.9600 3.6814 10.9700 3.7281 10.9800 3.7758 10.9900 3.8244 11.0000 3.8739 11.0100 3.9244 11.0200 3.9759 11.0300 4.0283 11.0400 4.0817 11.0500 4.1360 11.0600 4.1913 11.0700 4.2477 11.0800 4.3049 11.0900 4.3632 11.1000 4.4225 11.1100 4.4828 11.1200 4.5440 11.1300 4.6062 11.1400 4.6695 11.1500 4.7337 11.1600 4.7989 11.1700 4.8650 11.1800 4.9322 11.1900 5.0003 11.2000 5.0694 11.2100 5.1395 11.2200 5.2106 11.2300 5.2825 11.2400 5.3555 11.2500 5.4293 11.2600 5.5041 11.2700 5.5799 11.2800 5.6565 11.2900 5.7340 11.3000 5.8124 11.3100 5.8917 11.3200 5.9718 11.3300 6.0528 11.3400 6.1346 11.3500 6.2172 11.3600 6.3006 11.3700 6.3847 11.3800 6.4697 11.3900 6.5553 11.4000 6.6417 11.4100 6.7288 11.4200 6.8165 11.4300 6.9049 11.4400 6.9939 11.4500 7.0835 11.4600 7.1737 11.4700 7.2644 11.4800 7.3556 11.4900 7.4474 11.5000 7.5395 11.5100 7.6322 11.5200 7.7252 11.5300 7.8186 11.5400 7.9123 11.5500 8.0063 11.5600 8.1006 11.5700 8.1951 11.5800 8.2898 11.5900 8.3847 11.6000 8.4797 11.6100 8.5748 11.6200 8.6700 11.6300 8.7652 11.6400 8.8603 11.6500 8.9554 11.6600 9.0503 11.6700 9.1452 11.6800 9.2398 11.6900 9.3342 11.7000 9.4284 11.7100 9.5222 11.7200 9.6157 11.7300 9.7088 11.7400 9.8014 11.7500 9.8936 11.7600 9.9852 11.7700 10.0763 11.7800 10.1667 11.7900 10.2565 11.8000 10.3456 11.8100 10.4339 11.8200 10.5214 11.8300 10.6081 11.8400 10.6940 11.8500 10.7789 11.8600 10.8628 11.8700 10.9457 11.8800 11.0276 11.8900 11.1083 11.9000 11.1879 11.9100 11.2664 11.9200 11.3436 11.9300 11.4195 11.9400 11.4941 11.9500 11.5674 11.9600 11.6392 11.9700 11.7097 11.9800 11.7786 11.9900 11.8461 12.0000 11.9120 12.0100 11.9763 12.0200 12.0389 12.0300 12.1000 12.0400 12.1593 12.0500 12.2169 12.0600 12.2727 12.0700 12.3267 12.0800 12.3789 12.0900 12.4290 12.1000 12.4771 12.1100 12.5232 12.1200 12.5672 12.1300 12.6090 12.1400 12.6488 12.1500 12.6863 12.1600 12.7217 12.1700 12.7549 12.1800 12.7858 12.1900 12.8145 12.2000 12.8410 12.2100 12.8651 12.2200 12.8870 12.2300 12.9065 12.2400 12.9238 12.2500 12.9386 12.2600 12.9512 12.2700 12.9614 12.2800 12.9692 12.2900 12.9746 12.3000 12.9777 12.3100 12.9784 12.3200 12.9768 12.3300 12.9720 12.3400 12.9620 12.3500 12.9465 12.3600 12.9255 12.3700 12.8992 12.3800 12.8674 12.3900 12.8304 12.4000 12.7880 12.4100 12.7404 12.4200 12.6876 12.4300 12.6297 12.4400 12.5668 12.4500 12.4989 12.4600 12.4262 12.4700 12.3487 12.4800 12.2666 12.4900 12.1799 12.5000 12.0888 12.5100 11.9934 12.5200 11.8939 12.5300 11.7902 12.5400 11.6827 12.5500 11.5714 12.5600 11.4564 12.5700 11.3380 12.5800 11.2162 12.5900 11.0912 12.6000 10.9633 12.6100 10.8324 12.6200 10.6988 12.6300 10.5627 12.6400 10.4242 12.6500 10.2835 12.6600 10.1407 12.6700 9.9960 12.6800 9.8495 12.6900 9.7016 12.7000 9.5522 12.7100 9.4015 12.7200 9.2498 12.7300 9.0972 12.7400 8.9438 12.7500 8.7898 12.7600 8.6353 12.7700 8.4805 12.7800 8.3256 12.7900 8.1707 12.8000 8.0159 12.8100 7.8613 12.8200 7.7072 12.8300 7.5536 12.8400 7.4007 12.8500 7.2485 12.8600 7.0973 12.8700 6.9471 12.8800 6.7980 12.8900 6.6501 12.9000 6.5035 12.9100 6.3584 12.9200 6.2148 12.9300 6.0728 12.9400 5.9325 12.9500 5.7939 12.9600 5.6572 12.9700 5.5223 12.9800 5.3895 12.9900 5.2586 13.0000 5.1298 13.0100 5.0032 13.0200 4.8786 13.0300 4.7563 13.0400 4.6362 13.0500 4.5184 13.0600 4.4029 13.0700 4.2897 13.0800 4.1787 13.0900 4.0702 13.1000 3.9640 13.1100 3.8601 13.1200 3.7586 13.1300 3.6594 13.1400 3.5626 13.1500 3.4681 13.1600 3.3760 13.1700 3.2861 13.1800 3.1986 13.1900 3.1134 13.2000 3.0304 13.2100 2.9496 13.2200 2.8710 13.2300 2.7946 13.2400 2.7204 13.2500 2.6483 13.2600 2.5783 13.2700 2.5103 13.2800 2.4443 13.2900 2.3803 13.3000 2.3183 13.3100 2.2581 13.3200 2.1998 13.3300 2.1433 13.3400 2.0886 13.3500 2.0356 13.3600 1.9843 13.3700 1.9347 13.3800 1.8866 13.3900 1.8401 13.4000 1.7952 13.4100 1.7517 13.4200 1.7096 13.4300 1.6690 13.4400 1.6297 13.4500 1.5916 13.4600 1.5549 13.4700 1.5194 13.4800 1.4851 13.4900 1.4519 13.5000 1.4198 13.5100 1.3888 13.5200 1.3588 13.5300 1.3298 13.5400 1.3018 13.5500 1.2747 13.5600 1.2484 13.5700 1.2231 13.5800 1.1985 13.5900 1.1748 13.6000 1.1518 13.6100 1.1295 13.6200 1.1079 13.6300 1.0870 13.6400 1.0667 13.6500 1.0471 13.6600 1.0280 13.6700 1.0096 13.6800 0.9916 13.6900 0.9742 13.7000 0.9572 13.7100 0.9408 13.7200 0.9248 13.7300 0.9092 13.7400 0.8940 13.7500 0.8793 13.7600 0.8649 13.7700 0.8509 13.7800 0.8372 13.7900 0.8239 13.8000 0.8109 13.8100 0.7982 13.8200 0.7857 13.8300 0.7736 13.8400 0.7617 13.8500 0.7501 13.8600 0.7387 13.8700 0.7275 13.8800 0.7166 13.8900 0.7059 13.9000 0.6954 13.9100 0.6851 13.9200 0.6749 13.9300 0.6650 13.9400 0.6552 13.9500 0.6456 13.9600 0.6362 13.9700 0.6269 13.9800 0.6178 13.9900 0.6088 14.0000 0.5999 14.0100 0.5912 14.0200 0.5826 14.0300 0.5741 14.0400 0.5658 14.0500 0.5575 14.0600 0.5494 14.0700 0.5414 14.0800 0.5335 14.0900 0.5257 14.1000 0.5180 14.1100 0.5105 14.1200 0.5030 14.1300 0.4956 14.1400 0.4883 14.1500 0.4811 14.1600 0.4739 14.1700 0.4669 14.1800 0.4599 14.1900 0.4531 14.2000 0.4463 14.2100 0.4396 14.2200 0.4330 14.2300 0.4264 14.2400 0.4200 14.2500 0.4136 14.2600 0.4073 14.2700 0.4010 14.2800 0.3949 14.2900 0.3888 14.3000 0.3828 14.3100 0.3768 14.3200 0.3710 14.3300 0.3652 14.3400 0.3594 14.3500 0.3538 14.3600 0.3482 14.3700 0.3426 14.3800 0.3372 14.3900 0.3318 14.4000 0.3264 14.4100 0.3212 14.4200 0.3160 14.4300 0.3108 14.4400 0.3058 14.4500 0.3008 14.4600 0.2958 14.4700 0.2909 14.4800 0.2861 14.4900 0.2813 14.5000 0.2766 14.5100 0.2720 14.5200 0.2674 14.5300 0.2629 14.5400 0.2584 14.5500 0.2540 14.5600 0.2497 14.5700 0.2454 14.5800 0.2412 14.5900 0.2370 14.6000 0.2329 14.6100 0.2288 14.6200 0.2248 14.6300 0.2209 14.6400 0.2170 14.6500 0.2131 14.6600 0.2093 14.6700 0.2056 14.6800 0.2019 14.6900 0.1983 14.7000 0.1947 14.7100 0.1912 14.7200 0.1877 14.7300 0.1843 14.7400 0.1809 14.7500 0.1776 14.7600 0.1743 14.7700 0.1711 14.7800 0.1679 14.7900 0.1648 14.8000 0.1617 14.8100 0.1587 14.8200 0.1557 14.8300 0.1527 14.8400 0.1498 14.8500 0.1470 14.8600 0.1441 14.8700 0.1414 14.8800 0.1387 14.8900 0.1360 14.9000 0.1333 14.9100 0.1307 14.9200 0.1282 14.9300 0.1257 14.9400 0.1232 14.9500 0.1208 14.9600 0.1184 14.9700 0.1160 14.9800 0.1137 14.9900 0.1114 15.0000 0.1092