!Release notes for ACIS CCD quantum efficiency curves, 15 September 1998 !M. Bautz mwb@space.mit.edu for the ACIS SI Team. ! !Filenames: ! i0_w203c4r_eff_898_release.qdp ! i1_w193c2_eff_898_release.qdp ! i2_w158c4r_eff_898_release.qdp ! i3_w215c2r_eff_898_release.qdp ! s0_w168c4r_eff_898_release.qdp ! s1_w140c4r_eff_898_release.qdp ! s2_w182c4r_eff_898_release.qdp ! s3_w134c4r_eff_898_release.qdp ! s4_w457c4_eff_898_release.qdp ! s5_w201c3r_eff_898_release.qdp ! !where ! the first two characters indicate detector position in the focal plane; !and ! wxxxcyy indicates CCD serial number (e.g, w182c4r) ! !Format: !ASCII table suitable for use with qdp. The files contain this !message, followed by a 9-line qdp header which identifies the device. !Following the qdp header there are two columns: !1) Energy (keV) !2) Quantum Efficiency (for ASCA grades 0,2,3,4,6) ! !Description: !These files provides the best available quantum efficiency estimates !for ACIS detectors as of the release date. Ten files, one for each !focal plane detector, are released. !The predictions are for ASCA grades 0,2,3,4,6, with !the following event and split-event thresholds: !Chip Type Event Threshold Split Threshold ! (adu) (electrons, (adu) (electrons, ! approximate) approximate) !FI 38 40 13 14 !BI 20 26 13 15 !(adu = analog-to-digital converter unit converter units) ! !Detectors S1 and S3 are back-illuminated (BI); the other detectors are !front-illuminated (FI). ! !These estimates were derived from MIT CSR subassembly calibration !measurements, !and reflect the spatially averaged detection efficiency of each device. !Consult Chapter 4 of the September, 1998 release of the ACIS calibration !report for a full explanation of the assumptions, model, best-fit model !parameters, probable errors, and limitations inherent !in these model predictions. ! ! !Intended use: !When combined with ancillary response functions (arf) representing the HRMA !effective area and ACIS optical blocking filter transmission as functions of !energy,and the normalized response function matrices previously !released and available from http://www.acis.mit.edu), viz: ! w215c2r_norm.rmf for FI devices; ! w134c4r_norm.rmf for BI device S3; ! w140c4r_norm.rmf for BI device S1, !these quantum efficiency !curves may be used for estimating counting rates and simulating !spectra expected from proposed ACIS/AXAF observations. They are, per force, !best available ACIS detection efficiency estimates for use in continuing !analysis of AXAF ground calibration data. ! !Because the modelling of the BI detectors is expected to improve !significantly before the launch of AXAF, the BI quantum !efficiency curves released herewith are specifically NOT intended for the !analysis of AXAF data on astronomical sources. ! !Notes/Bugs: !1. Please read the ACIS Calibration report, release of September, 1998, !for a complete discussion of the limitations of these predictions. !Systematic relative errors in the spectrally-averaged absolute efficiency !of the FI detector models may be of order 5% over the 0.4-6 keV. Errors !may be larger outside this band. !Errors in the efficiency of one FI device relative to another should be !considerably smaller than 5%, except possibly at energies above 6 keV. !Systematic Errors in the predicted absolute efficiency of the !BI devices may be as large as 25% below 1.5 keV. ! !2. Typical estimated errors as a function of energy for FI devices !are to be released separately in the file s2_w182c4r_effrange_898.qdp. ! !3. The quantum efficiency is sampled on a fixed energy grid of 0.01 keV !spacing between 0.100 and 11.990 keV. This sampling may be too coarse !just above the characteristic edges of nitrogen, oxygen and silicon, !where fine structure has been measured on scales of a few eV. A subsequent !release will provide finer sampling near these edges. ! !4.These predictions are intended to represent the spatially averaged !quantum efficiency of each ACIS device. Generally, !quantum efficiency of FI devices is uniform over the device !within +-5% at all energies below 6 keV. Spatial variations in !quantum efficiency in the BI chips !may be as large at 20%. See the September, 1998 release of the !ACIS calibration report for details. ! !5. The BI quantum efficiency estimates are based on a single deadlayer model !for both BI devices, but the two models have !different depletion layer thicknesses. Thus, below about 1 keV, the !predicted efficiencies are identical for the two BI chips. The BI detector !S3 is more efficient than the BI detector S1. ! !6. The data in the FI files are replica files in !/benz/h4/mwb/acis/cal/rsp/qe898/ as of 1998 Sep 4 16:17 (for FI chips) !and !/benz/h4/mwb/acis/cal/rsp/qe898/ as of 1998 Sep 15 15:16 (for BI chips). ! FONT Ro LAB G1 Energy (keV) R X 0 12 LOC 0 0 1 1 LAB OT ACIS Flight Detector Quantum Efficiency LAB Y Detection Efficiency (1-, 2- and 3-pixel events) R Y 0 1 LAB T S3 Detector (w134c4r) ! 0.1 0.68687 0.11 0.65084 0.12 0.650758 0.13 0.576836 0.14 0.60139 0.15 0.634638 0.16 0.633737 0.17 0.653896 0.18 0.666735 0.19 0.671922 0.2 0.677992 0.21 0.689056 0.22 0.700745 0.23 0.712586 0.24 0.721421 0.25 0.729831 0.26 0.736176 0.27 0.741875 0.28 0.747293 0.29 0.75191 0.3 0.756775 0.31 0.762474 0.32 0.768854 0.33 0.773194 0.34 0.77847 0.35 0.78351 0.36 0.788589 0.37 0.79299 0.38 0.797091 0.39 0.802252 0.4 0.806089 0.41 0.810945 0.42 0.81443 0.43 0.820744 0.44 0.823952 0.45 0.828125 0.46 0.83136 0.47 0.837365 0.48 0.840606 0.49 0.845111 0.5 0.849789 0.51 0.853464 0.52 0.85729 0.53 0.860115 0.54 0.728782 0.55 0.803002 0.56 0.778786 0.57 0.795345 0.58 0.809503 0.59 0.813567 0.6 0.815318 0.61 0.814572 0.62 0.818419 0.63 0.82308 0.64 0.827323 0.65 0.831929 0.66 0.83634 0.67 0.841074 0.68 0.845362 0.69 0.84914 0.7 0.852004 0.71 0.854546 0.72 0.856832 0.73 0.859374 0.74 0.862167 0.75 0.865008 0.76 0.867943 0.77 0.870539 0.78 0.873271 0.79 0.876122 0.8 0.878917 0.81 0.881729 0.82 0.884429 0.83 0.887128 0.839999 0.889665 0.849999 0.892196 0.859999 0.894579 0.869999 0.896932 0.879999 0.899177 0.889999 0.901386 0.899999 0.903553 0.909999 0.905688 0.919999 0.907798 0.929999 0.909887 0.939999 0.911961 0.949999 0.913963 0.959999 0.915944 0.969999 0.917837 0.979999 0.919725 0.989999 0.921518 0.999999 0.923297 1.01 0.925001 1.02 0.926671 1.03 0.928291 1.04 0.929864 1.05 0.931403 1.06 0.932898 1.07 0.934368 1.08 0.935778 1.09 0.937158 1.1 0.93846 1.11 0.939745 1.12 0.940958 1.13 0.942159 1.14 0.943315 1.15 0.944448 1.16 0.945546 1.17 0.946613 1.18 0.947653 1.19 0.948661 1.2 0.949649 1.21 0.9506 1.22 0.951535 1.23 0.952423 1.24 0.953299 1.25 0.954136 1.26 0.95496 1.27 0.955747 1.28 0.956514 1.29 0.957252 1.3 0.957961 1.31 0.958639 1.32 0.959285 1.33 0.959904 1.34 0.960489 1.35 0.961051 1.36 0.961564 1.37 0.962053 1.38 0.962499 1.39 0.962918 1.4 0.963298 1.41 0.963643 1.42 0.96394 1.43 0.964207 1.44 0.964436 1.45 0.964616 1.46 0.964753 1.47 0.964841 1.48 0.964899 1.49 0.9649 1.5 0.96485 1.51 0.96475 1.52 0.964597 1.53 0.964377 1.54 0.96412 1.55 0.963801 1.56 0.963427 1.57 0.962991 1.58 0.962486 1.59 0.961956 1.6 0.961346 1.61 0.960655 1.62 0.959926 1.63 0.959139 1.64 0.958253 1.65 0.957323 1.66 0.956349 1.67 0.955284 1.68 0.954129 1.69 0.952936 1.7 0.951703 1.71 0.9504 1.72 0.949072 1.73 0.947646 1.74 0.946116 1.75 0.944546 1.76 0.942904 1.77 0.941239 1.78 0.939417 1.79 0.937451 1.8 0.929647 1.81 0.927418 1.82 0.928273 1.83 0.928629 1.84 0.926607 1.85 0.907925 1.86 0.913676 1.87 0.919522 1.88 0.930228 1.89 0.931383 1.9 0.926737 1.91 0.92954 1.92 0.930895 1.93 0.929914 1.94 0.930871 1.95 0.931956 1.96 0.932522 1.97 0.933017 1.98 0.935481 1.99 0.93692 2 0.93744 2.01 0.937722 2.02 0.937459 2.03 0.937444 2.04 0.937942 2.05 0.93888 2.06 0.939877 2.07 0.940475 2.08 0.941422 2.09 0.942321 2.1 0.94306 2.11 0.943749 2.12 0.94419 2.13 0.944588 2.14 0.945269 2.15 0.945744 2.16 0.946294 2.17 0.946846 2.18 0.947353 2.19 0.947854 2.2 0.948402 2.21 0.948899 2.22 0.949401 2.23 0.949823 2.24 0.950261 2.25 0.950795 2.26 0.951296 2.27 0.951751 2.28 0.952223 2.29 0.952686 2.3 0.953212 2.31 0.953669 2.32 0.95412 2.33 0.954564 2.34 0.955007 2.35 0.955445 2.36 0.955879 2.37 0.956304 2.38 0.956725 2.39 0.957145 2.4 0.957552 2.41 0.957957 2.42 0.958357 2.43 0.958759 2.44 0.959152 2.45 0.959539 2.46 0.959921 2.47 0.960298 2.48 0.960673 2.49 0.961046 2.5 0.961412 2.51 0.961772 2.52 0.962128 2.53 0.962482 2.54 0.962833 2.55 0.963176 2.56 0.963517 2.57 0.963858 2.58 0.964195 2.59 0.964523 2.6 0.96485 2.61 0.965175 2.62 0.965495 2.63 0.965808 2.64 0.966117 2.65 0.966425 2.66 0.966729 2.67 0.967032 2.68 0.967333 2.69 0.967632 2.7 0.96792 2.71 0.968203 2.72 0.968487 2.73 0.968769 2.74 0.969046 2.75 0.969322 2.76 0.969599 2.77 0.969867 2.78 0.970128 2.79 0.970393 2.8 0.970656 2.81 0.970909 2.82 0.97116 2.83 0.971411 2.84 0.971658 2.85 0.971902 2.86 0.972145 2.87 0.972383 2.88 0.972618 2.89 0.97285 2.9 0.973083 2.91 0.973314 2.92 0.973537 2.93 0.973758 2.94 0.973979 2.95 0.974197 2.96 0.97441 2.97 0.974622 2.98 0.974832 2.99 0.975039 3 0.97524 3.01 0.97544 3.02 0.975639 3.03 0.975833 3.04 0.976024 3.05 0.976214 3.06 0.976402 3.07 0.976584 3.08 0.976761 3.09 0.976938 3.1 0.977114 3.11 0.977289 3.12 0.977461 3.13 0.977626 3.14 0.977789 3.15 0.97795 3.16 0.978106 3.17 0.978259 3.18 0.978408 3.19 0.978556 3.2 0.978702 3.21 0.978847 3.22 0.978985 3.23 0.979119 3.24 0.979252 3.25 0.979382 3.26 0.979509 3.27 0.979633 3.28 0.979755 3.29 0.979872 3.3 0.979983 3.31 0.980092 3.32 0.980198 3.33 0.980298 3.34 0.980392 3.35 0.980484 3.36 0.980573 3.37 0.980659 3.38 0.98074 3.39 0.980819 3.4 0.980893 3.41 0.98096 3.42 0.981023 3.43 0.981083 3.44 0.981139 3.45 0.981191 3.46 0.981239 3.47 0.981282 3.48 0.981317 3.49 0.981347 3.5 0.981375 3.51 0.981398 3.52 0.981414 3.53 0.981426 3.54 0.981434 3.55 0.981435 3.56 0.981427 3.57 0.981417 3.58 0.981405 3.59 0.981386 3.6 0.981359 3.61 0.981325 3.62 0.981286 3.63 0.981239 3.64 0.981188 3.65 0.981135 3.66 0.981073 3.67 0.981001 3.68 0.980922 3.69 0.980837 3.7 0.980752 3.71 0.980651 3.72 0.980538 3.73 0.980435 3.74 0.980322 3.75 0.980197 3.76 0.980057 3.77 0.979912 3.78 0.979768 3.79 0.979614 3.8 0.979452 3.81 0.979281 3.82 0.9791 3.83 0.978909 3.84 0.978721 3.85 0.978529 3.86 0.978326 3.87 0.97811 3.88 0.977882 3.89 0.977644 3.9 0.977394 3.91 0.977134 3.92 0.976878 3.93 0.97662 3.94 0.976351 3.95 0.976059 3.96 0.97574 3.97 0.975454 3.98 0.975159 3.99 0.974827 4 0.974486 4.01 0.974133 4.02 0.973795 4.03 0.973446 4.04 0.973085 4.05 0.972711 4.06 0.972325 4.07 0.971926 4.08 0.971513 4.09 0.971086 4.1 0.970645 4.11 0.970201 4.12 0.969777 4.13 0.969337 4.14 0.968882 4.15 0.968367 4.16 0.967856 4.17 0.967358 4.18 0.966887 4.19 0.966408 4.2 0.965869 4.21 0.965317 4.22 0.964747 4.23 0.964214 4.24 0.963674 4.25 0.963119 4.26 0.962503 4.27 0.961847 4.28 0.961245 4.29 0.960629 4.3 0.959996 4.31 0.959409 4.32 0.958809 4.33 0.958129 4.34 0.957428 4.35001 0.956709 4.36 0.956053 4.37001 0.955389 4.38 0.954714 4.39001 0.953956 4.40001 0.953157 4.41001 0.952427 4.42001 0.951681 4.43001 0.950918 4.44001 0.950138 4.45001 0.949364 4.46001 0.948656 4.47001 0.947869 4.48001 0.947022 4.49001 0.946157 4.50001 0.945314 4.51001 0.944528 4.52001 0.943635 4.53001 0.942705 4.54001 0.941869 4.55001 0.941018 4.56001 0.94015 4.57001 0.939265 4.58001 0.938359 4.59001 0.937437 4.60001 0.936502 4.61001 0.935545 4.62001 0.934569 4.63001 0.933575 4.64001 0.932562 4.65001 0.931647 4.66001 0.930726 4.67001 0.929663 4.68001 0.928667 4.69001 0.927723 4.70001 0.926613 4.71001 0.925519 4.72001 0.924524 4.73001 0.923514 4.74001 0.922486 4.75001 0.921444 4.76001 0.920302 4.77001 0.919034 4.78001 0.918054 4.79002 0.917092 4.80001 0.915963 4.81002 0.914816 4.82001 0.91365 4.83002 0.912465 4.84002 0.911257 4.85002 0.910032 4.86002 0.908943 4.87002 0.907874 4.88002 0.906593 4.89002 0.9054 4.90002 0.904308 4.91002 0.903005 4.92002 0.901702 4.93002 0.900561 4.94002 0.899258 4.95002 0.897841 4.96002 0.896644 4.97002 0.895433 4.98002 0.894207 4.99002 0.892968 5.00002 0.891711 5.01002 0.890434 5.02002 0.88914 5.03002 0.887829 5.04002 0.886501 5.05002 0.885155 5.06002 0.883792 5.07002 0.882411 5.08002 0.881023 5.09002 0.879894 5.10002 0.87863 5.11002 0.877183 5.12002 0.875716 5.13002 0.874284 5.14002 0.873085 5.15002 0.871698 5.16002 0.870158 5.17002 0.868897 5.18002 0.867537 5.19002 0.86594 5.20002 0.864551 5.21002 0.863222 5.22003 0.861571 5.23002 0.860056 5.24003 0.858707 5.25002 0.857345 5.26003 0.855967 5.27003 0.854571 5.28003 0.853161 5.29003 0.851739 5.30003 0.8503 5.31003 0.848845 5.32003 0.847378 5.33003 0.845897 5.34003 0.844397 5.35003 0.842881 5.36003 0.841353 5.37003 0.839809 5.38003 0.838245 5.39003 0.836666 5.40003 0.835074 5.41003 0.833463 5.42003 0.831843 5.43003 0.83061 5.44003 0.829199 5.45003 0.827528 5.46003 0.82584 5.47003 0.824202 5.48003 0.822911 5.49003 0.821373 5.50003 0.819618 5.51003 0.818262 5.52003 0.81679 5.53003 0.814985 5.54003 0.813477 5.55003 0.812074 5.56003 0.810221 5.57003 0.808559 5.58003 0.807148 5.59003 0.805723 5.60003 0.804189 5.61003 0.802254 5.62003 0.800589 5.63003 0.799116 5.64003 0.797631 5.65003 0.796133 5.66004 0.794621 5.67003 0.79273 5.68004 0.790731 5.69003 0.789182 5.70004 0.78762 5.71004 0.786046 5.72004 0.784457 5.73004 0.782856 5.74004 0.781244 5.75004 0.779621 5.76004 0.777985 5.77004 0.776332 5.78004 0.774668 5.79004 0.772994 5.80004 0.771307 5.81004 0.769607 5.82004 0.767888 5.83004 0.76646 5.84004 0.765305 5.85004 0.763614 5.86004 0.761852 5.87004 0.760075 5.88004 0.758286 5.89004 0.756512 5.90004 0.7553 5.91004 0.753824 5.92004 0.751987 5.93004 0.750137 5.94004 0.748388 5.95004 0.747137 5.96004 0.745521 5.97004 0.743619 5.98004 0.741705 5.99004 0.739985 6.00004 0.73869 6.01004 0.736927 6.02004 0.735012 6.03004 0.733693 6.04004 0.732058 6.05004 0.73005 6.06004 0.728599 6.07004 0.727095 6.08004 0.72505 6.09004 0.723404 6.10005 0.722024 6.11004 0.720642 6.12005 0.718993 6.13004 0.716885 6.14005 0.715291 6.15005 0.713871 6.16005 0.712444 6.17005 0.710643 6.18005 0.708467 6.19005 0.70693 6.20005 0.705467 6.21005 0.703992 6.22005 0.702512 6.23005 0.701008 6.24005 0.698761 6.25005 0.696802 6.26005 0.695288 6.27005 0.693762 6.28005 0.692227 6.29005 0.690692 6.30005 0.689145 6.31005 0.687586 6.32005 0.686024 6.33005 0.684453 6.34005 0.682871 6.35005 0.681284 6.36005 0.679686 6.37005 0.678082 6.38005 0.676468 6.39005 0.674843 6.40005 0.673218 6.41005 0.671585 6.42005 0.669936 6.43005 0.668281 6.44005 0.66662 6.45005 0.664945 6.46005 0.663264 6.47005 0.661577 6.48005 0.659878 6.49005 0.65817 6.50005 0.656461 6.51005 0.654738 6.52005 0.653002 6.53006 0.651257 6.54005 0.649504 6.55006 0.647747 6.56005 0.646533 6.57006 0.645642 6.58006 0.643865 6.59006 0.642076 6.60006 0.640275 6.61006 0.638466 6.62006 0.636781 6.63006 0.635874 6.64006 0.634482 6.65006 0.632647 6.66006 0.630804 6.67006 0.628949 6.68006 0.62708 6.69006 0.625829 6.70006 0.624846 6.71006 0.622962 6.72006 0.621067 6.73006 0.61916 6.74006 0.618017 6.75006 0.616879 6.76006 0.614955 6.77006 0.613568 6.78006 0.612597 6.79006 0.610703 6.80006 0.608745 6.81006 0.606773 6.82006 0.605493 6.83006 0.604417 6.84006 0.602428 6.85006 0.600896 6.86006 0.599893 6.87006 0.598031 6.88006 0.596236 6.89006 0.595227 6.90006 0.593592 6.91006 0.591542 6.92006 0.590498 6.93006 0.589088 6.94006 0.587022 6.95006 0.58572 6.96006 0.584545 6.97007 0.582449 6.98006 0.580881 6.99007 0.579833 7.00006 0.578356 7.01007 0.576859 7.02007 0.575363 7.03007 0.573877 7.04007 0.572383 7.05007 0.5709 7.06007 0.569418 7.07007 0.567934 7.08007 0.566461 7.09007 0.564983 7.10007 0.563515 7.11007 0.562048 7.12007 0.560582 7.13007 0.559118 7.14007 0.557654 7.15007 0.556201 7.16007 0.554749 7.17007 0.553298 7.18007 0.551847 7.19007 0.550404 7.20007 0.548956 7.21007 0.547519 7.22007 0.546083 7.23007 0.544657 7.24007 0.543223 7.25007 0.5418 7.26007 0.540377 7.27007 0.538955 7.28007 0.53754 7.29007 0.53612 7.30007 0.53471 7.31007 0.533312 7.32007 0.531904 7.33007 0.530498 7.34007 0.529102 7.35007 0.527704 7.36007 0.526308 7.37007 0.524924 7.38007 0.523532 7.39007 0.52215 7.40007 0.520777 7.41008 0.519394 7.42007 0.518023 7.43008 0.516654 7.44007 0.515286 7.45008 0.513919 7.46008 0.51256 7.47008 0.511201 7.48008 0.509846 7.49008 0.508491 7.50008 0.507147 7.51008 0.505803 7.52008 0.504461 7.53008 0.503118 7.54008 0.501784 7.55008 0.500452 7.56008 0.499122 7.57008 0.497801 7.58008 0.496469 7.59008 0.495151 7.60008 0.493843 7.61008 0.492526 7.62008 0.491219 7.63008 0.489911 7.64008 0.488604 7.65008 0.487309 7.66008 0.486015 7.67008 0.484721 7.68008 0.483427 7.69008 0.482142 7.70008 0.480859 7.71008 0.479578 7.72008 0.478295 7.73008 0.477022 7.74008 0.475752 7.75008 0.474482 7.76008 0.473223 7.77008 0.471964 7.78008 0.470704 7.79008 0.469445 7.80008 0.468198 7.81008 0.46695 7.82008 0.465701 7.83008 0.464455 7.84009 0.46322 7.85008 0.461985 7.86009 0.460751 7.87008 0.459515 7.88008 0.458289 7.89009 0.457066 7.90009 0.455853 7.91009 0.454628 7.92009 0.453424 7.93009 0.452213 7.94009 0.451001 7.95009 0.449798 7.96009 0.448597 7.97009 0.447397 7.98009 0.446205 7.99009 0.445014 8.00009 0.443824 8.01009 0.442645 8.02009 0.441465 8.03009 0.440285 8.04009 0.439107 8.05009 0.437939 8.06009 0.43677 8.07009 0.435602 8.08009 0.434436 8.09009 0.433278 8.10009 0.43212 8.11009 0.430964 8.12009 0.429819 8.13009 0.428672 8.14009 0.427525 8.15009 0.426381 8.16009 0.425247 8.17009 0.424111 8.18009 0.422985 8.19009 0.421852 8.20009 0.420728 8.21009 0.419603 8.22009 0.418489 8.23009 0.417367 8.24009 0.416253 8.25009 0.415149 8.26009 0.414037 8.27009 0.412936 8.28009 0.411842 8.29009 0.410739 8.30009 0.409648 8.31009 0.408557 8.3201 0.407464 8.3301 0.406383 8.3401 0.405302 8.3501 0.404222 8.3601 0.403149 8.3701 0.402068 8.3801 0.401006 8.3901 0.399936 8.4001 0.398877 8.4101 0.397816 8.4201 0.396755 8.4301 0.395697 8.4401 0.394648 8.4501 0.393598 8.4601 0.392558 8.4701 0.39151 8.4801 0.390471 8.4901 0.389431 8.5001 0.388401 8.5101 0.387362 8.5201 0.386334 8.5301 0.385307 8.5401 0.384288 8.5501 0.383268 8.5601 0.382251 8.5701 0.381243 8.5801 0.380226 8.5901 0.379216 8.6001 0.378208 8.6101 0.37721 8.6201 0.376213 8.6301 0.375216 8.6401 0.374218 8.6501 0.373231 8.6601 0.372245 8.6701 0.371257 8.6801 0.370279 8.6901 0.369292 8.7001 0.368323 8.7101 0.367348 8.7201 0.366381 8.7301 0.365404 8.7401 0.364446 8.7501 0.363479 8.76011 0.362522 8.77011 0.361567 8.78011 0.36061 8.79011 0.359662 8.80011 0.358707 8.81011 0.357771 8.82011 0.356823 8.83011 0.355886 8.84011 0.354949 8.85011 0.354012 8.86011 0.353077 8.87011 0.352151 8.88011 0.351223 8.89011 0.350297 8.90011 0.349379 8.91011 0.348463 8.92011 0.347548 8.93011 0.346631 8.94011 0.345724 8.95011 0.344817 8.96011 0.34391 8.97011 0.343005 8.98011 0.342109 8.99011 0.341211 9.00011 0.340315 9.01011 0.339427 9.02011 0.338532 9.03011 0.337646 9.04011 0.336769 9.05011 0.335882 9.06011 0.335005 9.07011 0.334127 9.08011 0.333252 9.09011 0.332386 9.10011 0.331518 9.11011 0.330651 9.12011 0.329784 9.13011 0.328926 9.14011 0.32807 9.15011 0.327214 9.16011 0.326366 9.17012 0.325509 9.18011 0.324661 9.19011 0.323815 9.20012 0.322978 9.21012 0.322131 9.22012 0.321293 9.23012 0.320456 9.24012 0.319627 9.25012 0.318798 9.26012 0.317971 9.27012 0.317145 9.28012 0.316318 9.29012 0.315499 9.30012 0.314681 9.31012 0.313862 9.32012 0.313055 9.33012 0.312238 9.34012 0.31143 9.35012 0.31063 9.36012 0.309822 9.37012 0.309023 9.38012 0.308224 9.39012 0.307426 9.40012 0.306629 9.41012 0.30584 9.42012 0.305051 9.43012 0.304261 9.44012 0.303481 9.45012 0.302703 9.46012 0.301916 9.47012 0.301145 9.48012 0.300365 9.49012 0.299595 9.50012 0.298816 9.51012 0.298055 9.52012 0.297286 9.53012 0.296518 9.54012 0.295758 9.55012 0.294998 9.56012 0.294246 9.57012 0.293486 9.58012 0.292736 9.59012 0.291985 9.60012 0.291235 9.61012 0.290495 9.62012 0.289754 9.63013 0.289003 9.64013 0.288271 9.65013 0.28753 9.66013 0.286798 9.67013 0.286066 9.68013 0.285336 9.69013 0.284606 9.70013 0.283883 9.71013 0.283152 9.72013 0.282438 9.73013 0.281716 9.74013 0.280994 9.75013 0.280283 9.76013 0.279571 9.77013 0.278859 9.78013 0.278155 9.79013 0.277442 9.80013 0.276739 9.81013 0.276035 9.82013 0.275333 9.83013 0.27464 9.84013 0.273946 9.85013 0.273244 9.86013 0.272559 9.87013 0.271865 9.88013 0.271181 9.89013 0.270496 9.90013 0.269812 9.91013 0.269127 9.92013 0.268445 9.93013 0.267771 9.94013 0.267095 9.95013 0.26642 9.96013 0.265746 9.97013 0.265079 9.98013 0.264414 9.99013 0.263749 10.0001 0.263083 10.0101 0.262301 10.0201 0.261694 10.0301 0.261084 10.0401 0.260476 10.0501 0.259865 10.0601 0.259256 10.0701 0.25864 10.0801 0.257728 10.0901 0.257114 10.1001 0.256503 10.1101 0.255889 10.1201 0.255276 10.1301 0.254661 10.1401 0.254048 10.1501 0.253432 10.1601 0.252816 10.1701 0.2522 10.1801 0.251583 10.1901 0.250967 10.2001 0.250348 10.2101 0.249731 10.2201 0.249112 10.2301 0.248494 10.2401 0.247873 10.2501 0.247254 10.2601 0.246633 10.2701 0.246011 10.2801 0.24539 10.2901 0.244767 10.3001 0.244146 10.3101 0.243521 10.3201 0.242899 10.3301 0.242274 10.3401 0.24165 10.3501 0.241024 10.3601 0.240399 10.3701 0.239773 10.3801 0.23915 10.3901 0.238833 10.4001 0.238205 10.4101 0.237578 10.4201 0.236948 10.4301 0.236321 10.4401 0.23569 10.4501 0.235064 10.4601 0.234745 10.4701 0.234114 10.4801 0.233484 10.4901 0.232851 10.5001 0.232222 10.5101 0.231903 10.5201 0.231269 10.5301 0.230637 10.5401 0.230002 10.5501 0.229372 10.5601 0.22905 10.5701 0.228414 10.5801 0.227779 10.5901 0.227147 10.6001 0.226823 10.6101 0.226187 10.6201 0.225548 10.6301 0.224915 10.6401 0.224591 10.6501 0.223952 10.6601 0.223318 10.6701 0.222992 10.6801 0.222353 10.6901 0.221716 10.7001 0.221391 10.7101 0.22075 10.7201 0.220112 10.7302 0.219786 10.7402 0.219143 10.7502 0.218505 10.7602 0.218179 10.7702 0.217534 10.7802 0.216893 10.7902 0.216567 10.8002 0.215921 10.8102 0.215281 10.8202 0.214953 10.8302 0.214309 10.8402 0.213981 10.8502 0.213334 10.8602 0.21269 10.8702 0.212362 10.8802 0.211718 10.8902 0.211388 10.9002 0.210744 10.9102 0.210413 10.9202 0.209767 10.9302 0.209438 10.9402 0.208786 10.9502 0.20814 10.9602 0.207809 10.9702 0.20716 10.9802 0.206828 10.9902 0.206181 11.0002 0.205849 11.0102 0.2052 11.0202 0.204868 11.0302 0.204217 11.0402 0.203886 11.0502 0.203234 11.0602 0.202901 11.0702 0.20225 11.0802 0.201921 11.0902 0.201587 11.1002 0.200935 11.1102 0.200601 11.1202 0.199947 11.1302 0.199614 11.1402 0.198959 11.1502 0.198623 11.1602 0.197969 11.1702 0.197639 11.1802 0.197303 11.1902 0.196648 11.2002 0.196311 11.2102 0.195654 11.2202 0.195323 11.2302 0.194988 11.2402 0.194329 11.2502 0.193991 11.2602 0.193334 11.2702 0.193002 11.2802 0.192664 11.2902 0.192005 11.3002 0.191672 11.3102 0.191333 11.3202 0.190674 11.3302 0.19034 11.3402 0.190001 11.3502 0.189341 11.3602 0.189007 11.3702 0.188667 11.3802 0.188003 11.3902 0.18767 11.4002 0.18733 11.4102 0.186666 11.4202 0.186332 11.4302 0.185991 11.4402 0.185326 11.4502 0.184992 11.4602 0.184656 11.4702 0.184314 11.4802 0.183647 11.4902 0.183313 11.5002 0.182971 11.5102 0.182303 11.5202 0.181968 11.5302 0.181631 11.5402 0.181288 11.5502 0.180619 11.5602 0.180283 11.5702 0.179945 11.5802 0.179608 11.5902 0.179263 11.6002 0.178595 11.6102 0.178256 11.6202 0.177917 11.6302 0.177575 11.6402 0.176903 11.6502 0.176563 11.6602 0.176224 11.6702 0.175886 11.6802 0.175542 11.6902 0.174868 11.7002 0.17453 11.7102 0.174189 11.7202 0.173849 11.7302 0.173508 11.7402 0.173164 11.7502 0.172489 11.7602 0.172147 11.7702 0.171806 11.7802 0.171467 11.7902 0.171126 11.8002 0.170784 11.8102 0.170437 11.8202 0.169761 11.8302 0.169418 11.8402 0.169076 11.8502 0.168734 11.8602 0.168394 11.8702 0.168051 11.8802 0.167702 11.8902 0.167024 11.9002 0.166681 11.9102 0.166338 11.9202 0.165994 11.9302 0.165653 11.9402 0.165309 11.9502 0.164965 11.9602 0.164621 11.9702 0.164277 11.9802 0.163934 11.9902 0.163584