Spectral response

HFI Spectral Response

This section outlines the unit conversion and colour correction protocol for Planck/HFI. Tables of unit conversion and colour correction coefficients will be included (there is not room for these in the P03d Co-Paper). Some of the checks on the unit conversion and colour correction coefficients will be described here also. Planet colour correction coefficients will be provided here (or perhaps in the joint HFI/LFI section). There will be links to the UcCC subsection of the PLA section, but the numbers and details belong here. The PLA UcCC subsection is primarily to introduce the software tools.

The band-average HFI spectral response data are shown in the figure below, and provided in the RIMO file [FIXME].

FIXME: insert figure.

The integration ranges used in determining the unit conversion and colour correction coefficients are verified through an iterative approach starting at one extreme and reducing to the band-centre for both the low and high frequency edges. The figure below demonstrates the stability in the integral once a sufficient data range has been employed. The range used in the official coefficients is thus sufficient to ensure that it falls within the flat region of the demonstration figure below.

FIXME: insert figure showing integral flattening once the range hs extended sufficiently out of band.

The band-average spectrum for a given frequency band is derived using a hit-map normalized inverse-square noise weighted detector spectrum average. Thus, the effective band-average spectrum changes depending on the region of sky in question, really the Planck coverage of any sky region. The histograms below demonstrate the variation across the sky of the detector weight coefficients, and thus the validity of using a single band-average spectrum for the entire sky map. Future analysis with the full Planck dataset may require incorporating the variation of the relative detector weights across the sky into understanding the differential spectral transmission between complementary maps (e.g. detset -1 cf. detset-2 maps).

FIXME: include detector weight histogram plots.

The following table presents basic characteristics of the HFI detector spectral repsonse, inclusing optical efficiency, effective frequency, etc.

FIXME: Add table from HFI_SPEC_TRANS_REPORT

Unit Conversion Tables

This section presents unit conversion coefficients for the HFI detectors (and LFI in some instances), including uncertainty estimates based on the uncertainty of the HFI detector spectral response. The derivation of the unit conversion coefficients is provided in planck2013-p02d.

Table 1: MJy/sr/KCMB and ySZ/K_CMB unit conversion coefficients.

Band/Det. [GHz]	U_C [MJy/sr/KCMB]	U_C [ySZ/KCMB]
100-1a	238.2871 ± 0.7295	-0.24612 ± 0.00017
100-1b	241.8530 ± 0.6927	-0.24703 ± 0.00017

The unit conversion from MJy/sr to K_RJ (i.e. Tb) does not depend on the spectrum, so is the same across each frequency band.

Table 2: MJy/sr to Tb unit conversion.

Band (GHz)	U_C [K'_RJ_'/(MJy/sr)]
100	0.0032548074
143	0.0015916707
217	0.00069120334
353	0.00026120163
545	0.00010958025
857	4.4316316e-05

Colour Correction, Powerlaw spectra

The following table presents colour correction coefficients for HFI (and LFI) detectors and bands. Plots are also included demonstrating the variation in colour correction coefficients within a frequency band, over a range of spectral indices.

• 

  100 GHz

• 

  143 GHz

• 

  217 GHz

• 

  353 GHz

• 

  545 GHz

• 

  857 GHz

100-1a || 0.93682 ± 0.00414 || 0.96513 ± 0.00282 || 0.98641 ± 0.00142 || 1 || 1.00548 ± 0.00139 || 1.00273 ± 0.00266 || 0.99180 ± 0.00384 || 0.97303 ± 0.00487 || 0.94693 ± 0.00568 100-1b || 0.95469 ± 0.00314 || 0.97726 ± 0.00206 || 0.99252 ± 0.00106 || 1 || 0.99943 ± 0.00104 || 0.99080 ± 0.00207 || 0.97434 ± 0.00298 || 0.95048 ± 0.00381 || 0.91979 ± 0.00458 100-2a || 0.95668 ± 0.00389 || 0.97967 ± 0.00265 || 0.99434 ± 0.00134 || 1 || 0.99626 ± 0.00131 || 0.98305 ± 0.00262 || 0.96064 ± 0.00376 || 0.92957 ± 0.00469 || 0.89055 ± 0.00545 100-2b || 0.95213 ± 0.00365 || 0.97672 ± 0.00254 || 0.99289 ± 0.00128 || 1 || 0.99770 ± 0.00125 || 0.98597 ± 0.00243 || 0.96514 ± 0.00347 || 0.93578 ± 0.00435 || 0.89865 ± 0.00504 100-3a || 0.96441 ± 0.00419 || 0.98520 ± 0.00279 || 0.99724 ± 0.00139 || 1 || 0.99327 ± 0.00136 || 0.97721 ± 0.00260 || 0.95227 ± 0.00362 || 0.91919 ± 0.00451 || 0.87887 ± 0.00524 100-3b || 0.94194 ± 0.00406 || 0.96907 ± 0.00274 || 0.98866 ± 0.00138 || 1 || 1.00264 ± 0.00137 || 0.99640 ± 0.00266 || 0.98139 ± 0.00382 || 0.95797 ± 0.00483 || 0.92666 ± 0.00564 100-4a || 0.96623 ± 0.00383 || 0.98652 ± 0.00256 || 0.99797 ± 0.00128 || 1 || 0.99234 ± 0.00123 || 0.97507 ± 0.00233 || 0.94864 ± 0.00330 || 0.91377 ± 0.00428 || 0.87135 ± 0.00498 100-4b || 0.97085 ± 0.00392 || 0.98965 ± 0.00265 || 0.99955 ± 0.00131 || 1 || 0.99084 ± 0.00126 || 0.97224 ± 0.00245 || 0.94472 ± 0.00343 || 0.90909 ± 0.00431 || 0.86633 ± 0.00500 100-avg || 0.95684 ± 0.00151 || 0.97975 ± 0.00103 || 0.99434 ± 0.00051 || 1 || 0.99640 ± 0.00050 || 0.98354 ± 0.00095 || 0.96174 ± 0.00136 || 0.93158 ± 0.00172 || 0.89381 ± 0.00202 100-detset1 || 0.96096 ± 0.00224 || 0.98250 ± 0.00151 || 0.99571 ± 0.00075 || 1 || 0.99510 ± 0.00073 || 0.98104 ± 0.00141 || 0.95818 ± 0.00202 || 0.92713 ± 0.00254 || 0.88868 ± 0.00298 100-detset2 || 0.95512 ± 0.00159 || 0.97860 ± 0.00110 || 0.99377 ± 0.00055 || 1 || 0.99694 ± 0.00054 || 0.98459 ± 0.00103 || 0.96324 ± 0.00153 || 0.93345 ± 0.00194 || 0.89598 ± 0.00228 143-1a || 0.89624 ± 0.00093 || 0.93764 ± 0.00066 || 0.97263 ± 0.00034 || 1 || 1.01872 ± 0.00035 || 1.02801 ± 0.00070 || 1.02743 ± 0.00104 || 1.01688 ± 0.00137 || 0.99662 ± 0.00164 143-1b || 0.90754 ± 0.00095 || 0.94559 ± 0.00064 || 0.97677 ± 0.00033 || 1 || 1.01443 ± 0.00033 || 1.01949 ± 0.00065 || 1.01492 ± 0.00096 || 1.00082 ± 0.00123 || 0.97759 ± 0.00148 143-2a || 0.89562 ± 0.00093 || 0.93752 ± 0.00064 || 0.97272 ± 0.00033 || 1 || 1.01834 ± 0.00034 || 1.02703 ± 0.00068 || 1.02566 ± 0.00100 || 1.01422 ± 0.00130 || 0.99300 ± 0.00155 143-2b || 0.91137 ± 0.00096 || 0.94831 ± 0.00065 || 0.97820 ± 0.00033 || 1 || 1.01294 ± 0.00033 || 1.01653 ± 0.00064 || 1.01056 ± 0.00092 || 0.99516 ± 0.00117 || 0.97074 ± 0.00138 143-3a || 0.87293 ± 0.00095 || 0.92137 ± 0.00067 || 0.96420 ± 0.00035 || 1 || 1.02753 ± 0.00037 || 1.04577 ± 0.00073 || 1.05402 ± 0.00109 || 1.05201 ± 0.00139 || 1.03976 ± 0.00167 143-3b || 0.89320 ± 0.00092 || 0.93577 ± 0.00065 || 0.97178 ± 0.00034 || 1 || 1.01941 ± 0.00034 || 1.02926 ± 0.00066 || 1.02918 ± 0.00101 || 1.01915 ± 0.00132 || 0.99948 ± 0.00159 143-4a || 0.91028 ± 0.00092 || 0.94808 ± 0.00064 || 0.97836 ± 0.00033 || 1 || 1.01212 ± 0.00033 || 1.01421 ± 0.00066 || 1.00611 ± 0.00097 || 0.98805 ± 0.00125 || 0.96062 ± 0.00150 143-4b || 0.90552 ± 0.00098 || 0.94424 ± 0.00068 || 0.97609 ± 0.00035 || 1 || 1.01513 ± 0.00035 || 1.02093 ± 0.00070 || 1.01721 ± 0.00102 || 1.00405 ± 0.00131 || 0.98188 ± 0.00156 143-5 || 0.94591 ± 0.00089 || 0.97224 ± 0.00060 || 0.99048 ± 0.00030 || 1 || 1.00048 ± 0.00029 || 0.99189 ± 0.00056 || 0.97451 ± 0.00081 || 0.94888 ± 0.00099 || 0.91575 ± 0.00117 143-6 || 0.92007 ± 0.00097 || 0.95452 ± 0.00067 || 0.98148 ± 0.00034 || 1 || 1.00943 ± 0.00034 || 1.00943 ± 0.00067 || 0.99996 ± 0.00099 || 0.98129 ± 0.00127 || 0.95395 ± 0.00151 143-7 || 0.95005 ± 0.00095 || 0.97507 ± 0.00062 || 0.99192 ± 0.00031 || 1 || 0.99900 ± 0.00030 || 0.98892 ± 0.00058 || 0.97009 ± 0.00083 || 0.94312 ± 0.00104 || 0.90883 ± 0.00122 143-8 || 0.92905 ± 0.00101 || 0.96094 ± 0.00069 || 0.98488 ± 0.00035 || 1 || 1.00574 ± 0.00034 || 1.00188 ± 0.00067 || 0.98858 ± 0.00098 || 0.96627 ± 0.00117 || 0.93573 ± 0.00139 143-avg || 0.91412 ± 0.00027 || 0.95038 ± 0.00018 || 0.97935 ± 0.0000944766 || 1 || 1.01158 ± 0.0000958937 || 1.01364 ± 0.00019 || 1.00607 ± 0.00027 || 0.98907 ± 0.00035 || 0.96318 ± 0.00041 143-detset1 || 0.89061 ± 0.00041 || 0.93382 ± 0.00029 || 0.97071 ± 0.00015 || 1 || 1.02064 ± 0.00016 || 1.03182 ± 0.00032 || 1.03309 ± 0.00049 || 1.02433 ± 0.00064 || 1.00580 ± 0.00078 143-detset2 || 0.90504 ± 0.00052 || 0.94409 ± 0.00036 || 0.97612 ± 0.00019 || 1 || 1.01485 ± 0.00019 || 1.02009 ± 0.00038 || 1.01547 ± 0.00056 || 1.00108 ± 0.00072 || 0.97735 ± 0.00087 143-SWBs || 0.93980 ± 0.00053 || 0.96809 ± 0.00036 || 0.98839 ± 0.00018 || 1 || 1.00250 ± 0.00017 || 0.99578 ± 0.00034 || 0.98006 ± 0.00049 || 0.95582 ± 0.00062 || 0.92382 ± 0.00073 217-1 || 1.01001 ± 0.00025 || 1.01437 ± 0.00016 || 1.01104 ± 0.0000789997 || 1 || 0.98146 ± 0.0000754173 || 0.95584 ± 0.00015 || 0.92373 ± 0.00021 || 0.88587 ± 0.00027 || 0.84309 ± 0.00033 217-2 || 1.01196 ± 0.00025 || 1.01614 ± 0.00017 || 1.01214 ± 0.0000817705 || 1 || 0.97999 ± 0.0000768385 || 0.95264 ± 0.00015 || 0.91866 ± 0.00021 || 0.87891 ± 0.00026 || 0.83436 ± 0.00031 217-3 || 1.01558 ± 0.00025 || 1.01798 ± 0.00016 || 1.01277 ± 0.0000813614 || 1 || 0.97995 ± 0.0000768187 || 0.95309 ± 0.00015 || 0.92006 ± 0.00021 || 0.88163 ± 0.00027 || 0.83866 ± 0.00033 217-4 || 1.01024 ± 0.00025 || 1.01432 ± 0.00017 || 1.01091 ± 0.0000824895 || 1 || 0.98175 ± 0.0000802537 || 0.95655 ± 0.00016 || 0.92496 ± 0.00023 || 0.88767 ± 0.00029 || 0.84549 ± 0.00035 217-5a || 0.96844 ± 0.00025 || 0.98738 ± 0.00017 || 0.99803 ± 0.0000836294 || 1 || 0.99318 ± 0.0000808224 || 0.97777 ± 0.00015 || 0.95421 ± 0.00023 || 0.92318 ± 0.00029 || 0.88554 ± 0.00035 217-5b || 0.97226 ± 0.00027 || 0.98994 ± 0.00018 || 0.99929 ± 0.0000868564 || 1 || 0.99202 ± 0.0000827178 || 0.97559 ± 0.00016 || 0.95120 ± 0.00023 || 0.91956 ± 0.00029 || 0.88156 ± 0.00034 217-6a || 0.97150 ± 0.00025 || 0.98947 ± 0.00017 || 0.99908 ± 0.0000813629 || 1 || 0.99220 ± 0.0000794824 || 0.97593 ± 0.00015 || 0.95167 ± 0.00022 || 0.92012 ± 0.00029 || 0.88214 ± 0.00035 217-6b || 0.97137 ± 0.00026 || 0.98943 ± 0.00017 || 0.99907 ± 0.0000852166 || 1 || 0.99219 ± 0.0000822933 || 0.97592 ± 0.00016 || 0.95169 ± 0.00023 || 0.92028 ± 0.00029 || 0.88257 ± 0.00035 217-7a || 0.97678 ± 0.00023 || 0.99261 ± 0.00015 || 1.00045 ± 0.0000760123 || 1 || 0.99121 ± 0.0000741668 || 0.97430 ± 0.00014 || 0.94973 ± 0.00021 || 0.91817 ± 0.00026 || 0.88046 ± 0.00032 217-7b || 0.96993 ± 0.00024 || 0.98809 ± 0.00016 || 0.99824 ± 0.0000812663 || 1 || 0.99328 ± 0.0000798304 || 0.97826 ± 0.00016 || 0.95537 ± 0.00023 || 0.92529 ± 0.00029 || 0.88885 ± 0.00035 217-8a || 0.96801 ± 0.00022 || 0.98732 ± 0.00015 || 0.99810 ± 0.0000756128 || 1 || 0.99293 ± 0.0000727904 || 0.97713 ± 0.00014 || 0.95308 ± 0.00021 || 0.92152 ± 0.00027 || 0.88334 ± 0.00032 217-8b || 0.97414 ± 0.00025 || 0.99113 ± 0.00017 || 0.99984 ± 0.0000820512 || 1 || 0.99161 ± 0.0000797778 || 0.97493 ± 0.00016 || 0.95048 ± 0.00022 || 0.91897 ± 0.00028 || 0.88126 ± 0.00034 217-avg || 0.99378 ± 0.0000687143 || 1.00396 ± 0.0000460952 || 1.00607 ± 0.0000231995 || 1 || 0.98586 ± 0.0000226609 || 0.96403 ± 0.0000441502 || 0.93508 ± 0.0000641567 || 0.89977 ± 0.0000822070 || 0.85897 ± 0.0000967337 217-detset1 || 0.97210 ± 0.00012 || 0.98965 ± 0.0000830090 || 0.99907 ± 0.0000412986 || 1 || 0.99238 ± 0.0000401169 || 0.97642 ± 0.0000775063 || 0.95257 ± 0.00011 || 0.92152 ± 0.00014 || 0.88411 ± 0.00017 217-detset2 || 0.97122 ± 0.00011 || 0.98931 ± 0.0000760715 || 0.99901 ± 0.0000383221 || 1 || 0.99224 ± 0.0000388033 || 0.97599 ± 0.0000773202 || 0.95175 ± 0.00011 || 0.92024 ± 0.00015 || 0.88235 ± 0.00018 217-SWBs || 1.01193 ± 0.00012 || 1.01566 ± 0.0000821275 || 1.01169 ± 0.0000404464 || 1 || 0.98083 ± 0.0000384035 || 0.95463 ± 0.0000734616 || 0.92201 ± 0.00010 || 0.88375 ± 0.00013 || 0.84069 ± 0.00016 353-1 || 0.99265 ± 0.00016 || 1.00266 ± 0.00011 || 1.00515 ± 0.0000559950 || 1 || 0.98729 ± 0.0000553201 || 0.96731 ± 0.00011 || 0.94058 ± 0.00016 || 0.90776 ± 0.00021 || 0.86965 ± 0.00025 353-2 || 0.99512 ± 0.00017 || 1.00448 ± 0.00011 || 1.00617 ± 0.0000560112 || 1 || 0.98602 ± 0.0000544667 || 0.96453 ± 0.00011 || 0.93604 ± 0.00016 || 0.90128 ± 0.00020 || 0.86111 ± 0.00024 353-3a || 0.99494 ± 0.00024 || 1.00325 ± 0.00016 || 1.00498 ± 0.0000776632 || 1 || 0.98835 ± 0.0000736310 || 0.97024 ± 0.00014 || 0.94602 ± 0.00020 || 0.91620 ± 0.00026 || 0.88141 ± 0.00031 353-3b || 0.99080 ± 0.00019 || 1.00090 ± 0.00013 || 1.00404 ± 0.0000656887 || 1 || 0.98875 ± 0.0000652083 || 0.97046 ± 0.00013 || 0.94549 ± 0.00019 || 0.91438 ± 0.00025 || 0.87780 ± 0.00030 353-4a || 1.02156 ± 0.00019 || 1.02051 ± 0.00013 || 1.01332 ± 0.0000619802 || 1 || 0.98071 ± 0.0000603703 || 0.95573 ± 0.00012 || 0.92551 ± 0.00017 || 0.89056 ± 0.00023 || 0.85151 ± 0.00027 353-4b || 1.01654 ± 0.00019 || 1.01770 ± 0.00013 || 1.01220 ± 0.0000632469 || 1 || 0.98127 ± 0.0000609573 || 0.95631 ± 0.00012 || 0.92561 ± 0.00017 || 0.88977 ± 0.00022 || 0.84951 ± 0.00026 353-5a || 0.97711 ± 0.00018 || 0.99243 ± 0.00011 || 1.00016 ± 0.0000580324 || 1 || 0.99191 ± 0.0000559060 || 0.97608 ± 0.00011 || 0.95292 ± 0.00016 || 0.92307 ± 0.00020 || 0.88730 ± 0.00024 353-5b || 0.97399 ± 0.00017 || 0.99066 ± 0.00012 || 0.99946 ± 0.0000589972 || 1 || 0.99213 ± 0.0000581827 || 0.97600 ± 0.00012 || 0.95198 ± 0.00017 || 0.92072 ± 0.00022 || 0.88306 ± 0.00027 353-6a || 0.98767 ± 0.00024 || 0.99946 ± 0.00016 || 1.00364 ± 0.0000829993 || 1 || 0.98856 ± 0.0000818285 || 0.96957 ± 0.00016 || 0.94351 ± 0.00023 || 0.91103 ± 0.00030 || 0.87296 ± 0.00036 353-6b || 0.96654 ± 0.00020 || 0.98394 ± 0.00014 || 0.99521 ± 0.0000697372 || 1 || 0.99812 ± 0.0000703052 || 0.98954 ± 0.00014 || 0.97439 ± 0.00021 || 0.95298 ± 0.00027 || 0.92575 ± 0.00034 353-7 || 1.02464 ± 0.00028 || 1.02337 ± 0.00018 || 1.01512 ± 0.0000852098 || 1 || 0.97828 ± 0.0000767526 || 0.95040 ± 0.00015 || 0.91695 ± 0.00021 || 0.87863 ± 0.00026 || 0.83621 ± 0.00031 353-8 || 1.03140 ± 0.00020 || 1.02872 ± 0.00013 || 1.01821 ± 0.0000647534 || 1 || 0.97446 ± 0.0000621922 || 0.94216 ± 0.00012 || 0.90384 ± 0.00018 || 0.86040 ± 0.00023 || 0.81279 ± 0.00028 353-avg || 1.00188 ± 0.0000695847 || 1.00871 ± 0.0000473929 || 1.00811 ± 0.0000233511 || 1 || 0.98449 ± 0.0000223218 || 0.96190 ± 0.0000432703 || 0.93276 ± 0.0000624102 || 0.89776 ± 0.0000796615 || 0.85770 ± 0.0000959482 353-detset1 || 0.98298 ± 0.0000961282 || 0.99609 ± 0.0000649927 || 1.00185 ± 0.0000326385 || 1 || 0.99050 ± 0.0000322742 || 0.97352 ± 0.0000636621 || 0.94945 ± 0.0000927905 || 0.91889 ± 0.00012 || 0.88255 ± 0.00014 353-detset2 || 1.00524 ± 0.0000998187 || 1.01017 ± 0.0000663503 || 1.00845 ± 0.0000332326 || 1 || 0.98491 ± 0.0000321046 || 0.96343 ± 0.0000607419 || 0.93598 ± 0.0000876706 || 0.90310 ± 0.00011 || 0.86548 ± 0.00013 353-SWBs || 1.00622 ± 0.00010 || 1.01174 ± 0.0000671516 || 1.00968 ± 0.0000333484 || 1 || 0.98285 ± 0.0000320209 || 0.95863 ± 0.0000620664 || 0.92789 ± 0.0000903468 || 0.89139 ± 0.00012 || 0.84997 ± 0.00014 545-1 || 0.98835 ± 0.00157 || 1.00344 ± 0.00071 || 1.00706 ± 0.00025 || 1 || 0.98297 ± 0.00014 || 0.95694 ± 0.00022 || 0.92302 ± 0.00026 || 0.88254 ± 0.00029 || 0.83687 ± 0.00030 545-2 || 0.96725 ± 0.00140 || 0.98922 ± 0.00065 || 0.99997 ± 0.00023 || 1 || 0.98982 ± 0.00013 || 0.97015 ± 0.00020 || 0.94196 ± 0.00024 || 0.90642 ± 0.00027 || 0.86485 ± 0.00028 545-3 || 0.97954 ± 0.00266 || 0.99694 ± 0.00124 || 1.00355 ± 0.00044 || 1 || 0.98686 ± 0.00024 || 0.96491 ± 0.00038 || 0.93512 ± 0.00044 || 0.89862 ± 0.00048 || 0.85665 ± 0.00048 545-4 || 0.97758 ± 0.00165 || 0.99548 ± 0.00078 || 1.00276 ± 0.00028 || 1 || 0.98774 ± 0.00016 || 0.96673 ± 0.00026 || 0.93790 ± 0.00031 || 0.90233 ± 0.00034 || 0.86123 ± 0.00035 545-avg || 0.97732 ± 0.00076 || 0.99580 ± 0.00035 || 1.00316 ± 0.00012 || 1 || 0.98693 ± 0.0000744564 || 0.96474 ± 0.00012 || 0.93445 ± 0.00015 || 0.89725 ± 0.00017 || 0.85444 ± 0.00017 545-detset1 || 0.97720 ± 0.00099 || 0.99595 ± 0.00045 || 1.00335 ± 0.00016 || 1 || 0.98654 ± 0.0000893408 || 0.96380 ± 0.00014 || 0.93283 ± 0.00017 || 0.89487 ± 0.00019 || 0.85128 ± 0.00020 545-detset2 || 0.97758 ± 0.00143 || 0.99548 ± 0.00068 || 1.00276 ± 0.00024 || 1 || 0.98774 ± 0.00015 || 0.96673 ± 0.00023 || 0.93790 ± 0.00028 || 0.90233 ± 0.00032 || 0.86123 ± 0.00034 857-1 || 0.94232 ± 0.00806 || 0.97298 ± 0.00266 || 0.99165 ± 0.00071 || 1 || 0.99868 ± 0.00027 || 0.98825 ± 0.00037 || 0.96944 ± 0.00041 || 0.94315 ± 0.00043 || 0.91042 ± 0.00043 857-2 || 0.92120 ± 0.00725 || 0.95863 ± 0.00249 || 0.98447 ± 0.00068 || 1 || 1.00554 ± 0.00026 || 1.00139 ± 0.00036 || 0.98809 ± 0.00040 || 0.96642 ± 0.00042 || 0.93735 ± 0.00043 857-3 || 0.93838 ± 0.00785 || 0.97023 ± 0.00263 || 0.99024 ± 0.00070 || 1 || 1.00004 ± 0.00026 || 0.99089 ± 0.00035 || 0.97321 ± 0.00039 || 0.94789 ± 0.00040 || 0.91594 ± 0.00040 857-4 || 0.90936 ± 0.00862 || 0.94964 ± 0.00298 || 0.97945 ± 0.00083 || 1 || 1.01152 ± 0.00032 || 1.01417 ± 0.00045 || 1.00831 ± 0.00050 || 0.99445 ± 0.00052 || 0.97334 ± 0.00053 857-avg || 0.93070 ± 0.00388 || 0.96497 ± 0.00132 || 0.98758 ± 0.00036 || 1 || 1.00270 ± 0.00014 || 0.99610 ± 0.00020 || 0.98082 ± 0.00022 || 0.95766 ± 0.00023 || 0.92761 ± 0.00023 857-detset1 || 0.93205 ± 0.00475 || 0.96604 ± 0.00164 || 0.98819 ± 0.00044 || 1 || 1.00196 ± 0.00017 || 0.99451 ± 0.00024 || 0.97830 ± 0.00026 || 0.95417 ± 0.00027 || 0.92315 ± 0.00027 857-detset2 || 0.92902 ± 0.00536 || 0.96363 ± 0.00180 || 0.98681 ± 0.00049 || 1 || 1.00364 ± 0.00019 || 0.99812 ± 0.00026 || 0.98402 ± 0.00028 || 0.96210 ± 0.00029 || 0.93330 ± 0.00029

Table: 4: Powerlaw / Spectral Index Colour Correction Coefficient Table

Band/Det. [GHz]

F'_CC_', S.I.: -4

-3

-2

-1

0

1

2

3

4

Colour Correction, Modified Blackbody

This section will present colour correction coefficients relevant for a variety of dust spectra...

CO unit conversion

This section presents the CO unit conversion coefficcients.

Table 5: CO unit conversion coefficients for the various HFI detectors and channel-averages

Band (GHz)	BC	Det.	CO line	F'_12CO_' [uK'_CMB_'/K'_RJ_'km/s]	F'_13CO_' [uK'_CMB_'/K'_RJ_'km/s]
100	00	1a	J1-0	10.87 ± 0.29	16.96 ± 0.75
100	01	1b	J1-0	12.61 ± 0.27	16.40 ± 0.71
100	20	2a	J1-0	14.69 ± 0.50	14.08 ± 0.61
100	21	2b	J1-0	12.01 ± 0.39	17.50 ± 0.63
100	40	3a	J1-0	16.36 ± 0.57	14.52 ± 0.64
100	41	3b	J1-0	11.78 ± 0.48	13.78 ± 0.51
100	80	4a	J1-0	19.09 ± 0.63	18.64 ± 0.79
100	81	4b	J1-0	16.11 ± 0.57	17.57 ± 0.80
100	100	avg	J1-0	14.78 ± 0.21	15.55 ± 0.26
143	02	1a	J1-0	0.0613 ± 0.0031	0.0022 ± 5.0163e-05
143	03	1b	J1-0	0.0437 ± 0.0022	0.0017 ± 5.5805e-05
143	30	2a	J1-0	0.0523 ± 0.0027	0.0020 ± 0.0001
143	31	2b	J1-0	0.0557 ± 0.0028	0.0022 ± 0.0001
143	50	3a	J1-0	0.0881 ± 0.0045	0.0030 ± 2.3871e-05
143	51	3b	J1-0	0.0737 ± 0.0036	0.0023 ± 0.0001
143	82	4a	J1-0	0.0489 ± 0.0024	0.0018 ± 8.9210e-05
143	83	4b	J1-0	0.0493 ± 0.0024	0.0019 ± 9.4426e-05
143	10	5	J1-0	0.0210 ± 0.0012	0.0012 ± 0.0001
143	42	6	J1-0	0.0579 ± 0.0029	0.0020 ± 0.0003
143	60	7	J1-0	0.0099 ± 0.0005	0.0005 ± 2.4544e-05
143	70	8	J1-0	0.0404 ± 0.0023	0.0018 ± 8.5655e-05
143	143	avg	J1-0	0.0470 ± 0.0008	0.0018 ± 4.4951e-05
143	02	1a	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	03	1b	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	30	2a	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	31	2b	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	50	3a	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	51	3b	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	82	4a	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	83	4b	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	10	5	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	42	6	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	60	7	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	70	8	J2-1	0.0 ± 0.0	0.0 ± 0.0
143	143	avg	J2-1	0.0 ± 0.0	0.0 ± 0.0
217	04	1	J2-1	50.22 ± 0.36	34.42 ± 0.21
217	22	2	J2-1	42.47 ± 0.30	32.73 ± 0.21
217	52	3	J2-1	51.23 ± 0.35	37.37 ± 0.23
217	84	4	J2-1	47.75 ± 0.35	30.87 ± 0.19
217	11	5a	J2-1	43.97 ± 0.29	35.85 ± 0.22
217	12	5b	J2-1	43.68 ± 0.34	38.54 ± 0.22
217	43	6a	J2-1	38.92 ± 0.30	41.21 ± 0.25
217	44	6b	J2-1	40.75 ± 0.36	33.33 ± 0.21
217	61	7a	J2-1	45.50 ± 0.31	41.57 ± 0.26
217	62	7b	J2-1	43.58 ± 0.29	33.19 ± 0.20
217	71	8a	J2-1	45.30 ± 0.31	41.48 ± 0.25
217	72	8b	J2-1	41.78 ± 0.31	34.16 ± 0.21
217	217	avg	J2-1	45.85 ± 0.11	35.37 ± 0.07
353	05	1	J3-2	170.3 ± 1.3	82.5 ± 0.4
353	13	2	J3-2	174.0 ± 1.3	130.8 ± 0.7
353	23	3a	J3-2	185.4 ± 1.6	133.3 ± 0.8
353	24	3b	J3-2	200.7 ± 1.5	166.6 ± 0.9
353	32	4a	J3-2	172.9 ± 1.4	121.0 ± 0.7
353	33	4b	J3-2	140.9 ± 1.3	125.2 ± 0.7
353	53	5a	J3-2	150.3 ± 1.2	138.1 ± 0.7
353	54	5b	J3-2	159.8 ± 1.1	143.9 ± 0.8
353	63	6a	J3-2	148.9 ± 1.2	143.0 ± 0.9
353	64	6b	J3-2	166.4 ± 1.5	167.1 ± 1.0
353	45	7	J3-2	196.9 ± 1.4	110.9 ± 0.6
353	85	8	J3-2	185.3 ± 1.4	99.9 ± 0.6
353	353	avg	J3-2	175.1 ± 0.5	117.1 ± 0.2
545	14	1	J4-3	256.5 ± 2.5	47.8 ± 0.9
545	34	2	J4-3	268.3 ± 2.4	83.9 ± 1.0
545	55	3	J4-3	258.3 ± 3.2	59.7 ± 1.7
545	73	4	J4-3	230.7 ± 2.4	35.5 ± 1.1
545	545	avg	J4-3	252.5 ± 1.4	56.9 ± 0.6
545	14	1	J5-4	2216.1 ± 11.8	1144.5 ± 6.3
545	34	2	J5-4	2281.8 ± 12.3	1422.4 ± 7.6
545	55	3	J5-4	2349.2 ± 13.4	1845.6 ± 10.4
545	73	4	J5-4	2473.6 ± 13.7	1492.2 ± 8.1
545	545	avg	J5-4	2322.2 ± 7.3	1356.1 ± 4.3
857	25	1	J6-5	7794.4 ± 160.0	3264.7 ± 81.0
857	35	2	J6-5	6702.0 ± 111.9	1700.5 ± 43.7
857	65	3	J6-5	6978.7 ± 144.5	1417.9 ± 60.8
857	74	4	J6-5	7565.4 ± 145.4	1439.8 ± 57.3
857	857	avg	J6-5	7217.3 ± 71.4	2016.6 ± 30.4
857	25	1	J7-6	72291.9 ± 1440.7	61488.8 ± 1186.4
857	35	2	J7-6	62775.8 ± 995.9	64156.9 ± 969.1
857	65	3	J7-6	82316.7 ± 1523.9	57721.9 ± 1029.5
857	74	4	J7-6	87556.9 ± 1619.8	63467.8 ± 1119.9
857	857	avg	J7-6	74876.2 ± 694.6	61406.7 ± 545.5
857	25	1	J8-7	168443.0 ± 3337.6	136686.1 ± 2671.9
857	35	2	J8-7	145623.5 ± 2313.6	117751.3 ± 1825.7
857	65	3	J8-7	154861.1 ± 2861.8	126685.2 ± 2320.6
857	74	4	J8-7	125207.4 ± 2288.6	123683.8 ± 2230.9
857	857	avg	J8-7	151726.7 ± 1398.9	126570.5 ± 1151.8
857	25	1	J9-8	4941.8 ± 242.8	102261.9 ± 2036.6
857	35	2	J9-8	5619.9 ± 238.2	80172.8 ± 1263.2
857	65	3	J9-8	6897.2 ± 301.2	100933.8 ± 1853.0
857	74	4	J9-8	144.7 ± 232.1	51734.0 ± 988.8
857	857	avg	J9-8	4998.3 ± 131.9	88290.3 ± 821.8

Planet Colour Correction

As the planets within our solar system are used as calibration verification, and their spectra may deviate from the nominal Rayleigh-Jeans spectral profile, colour correction coefficients have been determined for each of the planets observed by Planck. This involves a model spectrum for each planet over the Planck Bands (cite rel. models here), and an understanding of the model uncertainties, and spectral uncertainties in order to determine the planet colour correction coefficient uncertainties. The table below summarizes the results for the planet colour correction coefficients.

FIXME: get into proper table format...

Band, BC, det., CC_SI=-2, CCE_SI=-2, CC_Mars1, CCE_Mars1, CC_Mars2, CE_Mars2, CC_Mars3, CCE_Mars3, CC_Jup, CCE_Jup, CC_Sat, CCE_Sat, CC_Ur, CCE_Ur, CC_Nep, CCE_Nep
100 00 1a       0.99179524     0.0024569372       0.99136628     0.0028896212       0.99177756     0.0027920234       0.99136832     0.0028653367       0.99192571     0.0058583181       0.99226270     0.0051635052       0.99629477      0.0023507110        1.0000696     0.0023383064
100 01 1b       0.97434212     0.0023504173       0.97375068     0.0027664805       0.97430734     0.0026726654       0.97375361     0.0027429981       0.97441599     0.0056352787       0.97488177     0.0049649349       0.98002947     0.0022491406       0.98428882     0.0022335515
100 20 2a       0.96064335     0.0024812887       0.95985742     0.0028602119       0.96059429     0.0027710572       0.95986171     0.0028382682       0.96071444     0.0056396086       0.96134048     0.0049820244       0.96809857     0.0023651134       0.97276578     0.0023474124
100 21 2b       0.96513920     0.0026154215       0.96440156     0.0029987856       0.96509400     0.0029095399       0.96440543     0.0029770927       0.96521685     0.0057557103       0.96580167     0.0050993873       0.97217979     0.0024991748       0.97658077     0.0024855546
100 40 3a       0.95227079     0.0024217183       0.95141328     0.0028267431       0.95221319     0.0027357225       0.95141775     0.0028039782       0.95231097     0.0056369281       0.95298905     0.0049778541       0.96021386     0.0023229208       0.96555618     0.0023034938
100 41 3b       0.98139440     0.0024512185       0.98083549     0.0028571474       0.98136600     0.0027636093       0.98083842     0.0028339286       0.98151075     0.0057414268       0.98195360     0.0050633475       0.98700251     0.0023420047       0.99141841     0.0023273952
100 80 4a       0.94863992     0.0025572022       0.94773453     0.0029459918       0.94857907     0.0028574219       0.94773941     0.0029242937       0.94868107     0.0056758085       0.94939951     0.0050287996       0.95702542     0.0024475671       0.96255867     0.0024264874
100 81 4b       0.94472176     0.0024347784       0.94378680     0.0028136068       0.94465704     0.0027263078       0.94379172     0.0027919631       0.94474695     0.0055351329       0.94548546     0.0048926320       0.95329271     0.0023286029       0.95886516     0.0023080312
100 100 avg       0.96201584     0.0010140989       0.96125413     0.0017473936       0.96196792     0.0016180539       0.96125815     0.0017102511       0.96208289     0.0052173339       0.96268641     0.0044916060       0.96922184     0.0010542270       0.97410782     0.0010439924
143 02 1a        1.0274279    0.00069310170        1.0273780     0.0010929967        1.0274933    0.00097577618        1.0273952     0.0010617994        1.0277801     0.0040870736        1.0280921     0.0032092061        1.0303270    0.00062520368        1.0310322    0.00063324809
143 03 1b        1.0149215    0.00070866545        1.0147696     0.0010951536        1.0149853    0.00098107888        1.0147886     0.0010647845        1.0153107     0.0040423422        1.0157214     0.0031761456        1.0191177    0.00064083408        1.0196698    0.00064901275
143 30 2a        1.0256655    0.00071856612        1.0255947     0.0011051012        1.0257319    0.00098966074        1.0256126     0.0010743671        1.0260326     0.0040969243        1.0263760     0.0032170282        1.0288763    0.00064839386        1.0296126    0.00065702576
143 31 2b        1.0105600    0.00066156375        1.0103726     0.0010564197        1.0106237    0.00094037912        1.0103925     0.0010254397        1.0109642     0.0040132254        1.0114212     0.0031483366        1.0152188    0.00059867200        1.0157617    0.00060634902
143 50 3a        1.0540337    0.00079658097        1.0542126     0.0011819005        1.0540996     0.0010655460        1.0542247     0.0011511021        1.0542895     0.0042420340        1.0543570     0.0033359408        1.0539499    0.00071486962        1.0550431    0.00072497723
143 51 3b        1.0291866    0.00073197786        1.0291488     0.0011223489        1.0292516     0.0010059919        1.0291656     0.0010913951        1.0295330     0.0041396701        1.0298255     0.0032517812        1.0319238    0.00066040360        1.0326979    0.00066937901
143 82 4a        1.0061120    0.00070379842        1.0058677     0.0010944281        1.0061800    0.00097869910        1.0058899     0.0010635565        1.0065635     0.0040824417        1.0070911     0.0032056372        1.0116784    0.00063675289        1.0122041    0.00064498270
143 83 4b        1.0172157    0.00070622867        1.0170853     0.0010920808        1.0172783    0.00097799480        1.0171036     0.0010617064        1.0175901     0.0040386342        1.0179738     0.0031726240        1.0210933    0.00063851040        1.0217136    0.00064697273
143 10 5       0.97451281    0.00060130694       0.97403771     0.0010077414       0.97457462    0.00089211065       0.97406349    0.00097678507       0.97503467     0.0038957642       0.97578047     0.0030560406       0.98294909    0.00054954842       0.98306051    0.00055596656
143 42 6       0.99996107    0.00066668980       0.99968416     0.0010573354        1.0000246    0.00094266271       0.99970596     0.0010267065        1.0004048     0.0039909943        1.0009555     0.0031324957        1.0058087    0.00060469278        1.0062450    0.00061218052
143 60 7       0.97009182    0.00063299289       0.96958024     0.0010194157       0.97015385    0.00090626054       0.96960689    0.00098909047       0.97063066     0.0039043560       0.97140874     0.0030625003       0.97902883    0.00057634869       0.97905402    0.00058285699
143 70 8       0.98857904    0.00067452972       0.98820410     0.0010585037       0.98864304    0.00094536517       0.98822818     0.0010282681       0.98906878     0.0039713907       0.98971077     0.0031178738       0.99575904    0.00061283887       0.99604248    0.00062011604
143 143 avg        1.0070824    0.00021374022        1.0068614    0.00086409244        1.0071466    0.00071705691        1.0068821    0.00082483224        1.0075044     0.0040076546        1.0079914     0.0031228747        1.0122118    0.00021344720        1.0127057    0.00021557979
217 04 1       0.92372890    0.00014543105       0.92335527    0.00024240533       0.92408488    0.00019744716       0.92346228    0.00023023603       0.92564528     0.0015701413       0.94180278     0.0010131918       0.93820450    0.00012696036       0.95279110    0.00012462523
217 22 2       0.91865604    0.00014914031       0.91825965    0.00024397324       0.91902960    0.00019988489       0.91837207    0.00023202445       0.92064935     0.0015605936       0.93711772     0.0010080980       0.93393990    0.00013062592       0.94633963    0.00012956498
217 52 3       0.92005792    0.00014369930       0.91966886    0.00024222673       0.92041646    0.00019655457       0.91977696    0.00022986870       0.92194761     0.0015838572       0.93736052     0.0010206916       0.93487937    0.00012579592       0.94856537    0.00012450449
217 84 4       0.92495519    0.00014512127       0.92458715    0.00024358886       0.92530546    0.00019787179       0.92469247    0.00023121651       0.92680837     0.0015890382       0.94232617     0.0010241088       0.93919854    0.00012648258       0.95255081    0.00012451968
217 11 5a       0.95420528    0.00016517233       0.95395616    0.00026105946       0.95451165    0.00021582053       0.95404671    0.00024877594       0.95583734     0.0016393437       0.97066825     0.0010566672       0.96523516    0.00014388767       0.97794116    0.00014047459
217 12 5b       0.95119915    0.00015741187       0.95093690    0.00025282959       0.95150918    0.00020776743       0.95102877    0.00024059837       0.95285521     0.0016138199       0.96830417     0.0010403248       0.96255440    0.00013733322       0.97546140    0.00013434738
217 43 6a       0.95166719    0.00016000513       0.95140712    0.00025615709       0.95197683    0.00021074547       0.95149881    0.00024382949       0.95328677     0.0016297876       0.96784827     0.0010497778       0.96297893    0.00013941718       0.97494109    0.00013675603
217 44 6b       0.95169507    0.00015570745       0.95143404    0.00025362596       0.95200265    0.00020740357       0.95152524    0.00024108688       0.95330789     0.0016386924       0.96815314     0.0010553470       0.96297302    0.00013603545       0.97583895    0.00013324272
217 61 7a       0.94972963    0.00015239450       0.94946246    0.00025207770       0.95003715    0.00020563156       0.94955374    0.00023950395       0.95132855     0.0016287555       0.96583873     0.0010486024       0.96112182    0.00013270037       0.97286646    0.00013022047
217 62 7b       0.95537121    0.00016113948       0.95512752    0.00026061348       0.95566714    0.00021411649       0.95521510    0.00024801275       0.95688048     0.0016560033       0.97050533     0.0010660058       0.96606477    0.00014036063       0.97712304    0.00013754722
217 71 8a       0.95308368    0.00016110231       0.95282877    0.00025768691       0.95339507    0.00021184558       0.95292085    0.00024523592       0.95473572     0.0016464027       0.96936560     0.0010603617       0.96433301    0.00014032034       0.97700981    0.00013781597
217 72 8b       0.95048294    0.00015373978       0.95021787    0.00025301486       0.95079048    0.00020692295       0.95030911    0.00024053889       0.95210122     0.0016220164       0.96627247     0.0010445368       0.96184275    0.00013405319       0.97499412    0.00013086004
217 217 avg       0.93586113    4.7378428e-05       0.93553554    0.00020323701       0.93619662    0.00014455406       0.93563585    0.00018794390       0.93763539     0.0016001360       0.95291335     0.0010263908       0.94897105    4.1318756e-05       0.96194977    4.0574860e-05
353 05 1       0.94058043    0.00011332546       0.94098217    0.00011441096       0.94141295    0.00011288488       0.94116837    0.00011387941       0.94555005    0.00037131159       0.94844667    0.00017398739       0.95501386    9.6672425e-05       0.94252929    0.00010244836
353 13 2       0.93604223    0.00011766864       0.93646791    0.00011892386       0.93692586    0.00011730590       0.93666550    0.00011836793       0.94132594    0.00037197986       0.94433250    0.00017722200       0.95137461    0.00010038591       0.93875196    0.00010586665
353 23 3a       0.94601822    0.00013419995       0.94638004    0.00013494525       0.94677116    0.00013354759       0.94654860    0.00013446058       0.95047817    0.00037504681       0.95303302    0.00018638046       0.95908115    0.00011497526       0.94912779    0.00012047238
353 24 3b       0.94549039    0.00012107755       0.94587698    0.00012181912       0.94628057    0.00012041895       0.94605316    0.00012132239       0.95024077    0.00037357867       0.95295610    0.00017785405       0.95904147    0.00010291203       0.94782372    0.00010895011
353 32 4a       0.92550628    0.00011168432       0.92590043    0.00011280360       0.92638226    0.00011127256       0.92609866    0.00011226930       0.93061868    0.00036489332       0.93335202    0.00017140080       0.94131248    9.5161783e-05       0.93060586    0.00010232233
353 33 4b       0.92560740    0.00011535949       0.92601983    0.00011647515       0.92650963    0.00011494353       0.92622343    0.00011594320       0.93090737    0.00036576470       0.93376284    0.00017381066       0.94174044    9.8456132e-05       0.92965716    0.00010437055
353 53 5a       0.95292376    0.00012188150       0.95331003    0.00012272894       0.95368671    0.00012128687       0.95347921    0.00012222428       0.95752576    0.00037744312       0.96032758    0.00018013350       0.96572763    0.00010391665       0.95318252    0.00010850519
353 54 5b       0.95198172    0.00012562110       0.95239373    0.00012634361       0.95278451    0.00012493622       0.95257109    0.00012584674       0.95690100    0.00037545442       0.95986476    0.00018092809       0.96530501    0.00010679503       0.95260819    0.00011099594
353 63 6a       0.94350543    0.00014632473       0.94391092    0.00014710047       0.94433192    0.00014560840       0.94409518    0.00014658422       0.94846347    0.00038237367       0.95136826    0.00019551997       0.95766012    0.00012481655       0.94499853    0.00012943610
353 64 6b       0.97439004    0.00014454517       0.97469099    0.00014551843       0.97494197    0.00014385611       0.97481163    0.00014494673       0.97777798    0.00039581401       0.97992890    0.00019859126       0.98317463    0.00012209450       0.97339239    0.00012809685
353 45 7       0.91695423    0.00012676198       0.91738734    0.00012748245       0.91791853    0.00012616718       0.91760559    0.00012702172       0.92260648    0.00036124111       0.92566524    0.00017782391       0.93439356    0.00010927645       0.92339661    0.00011439164
353 85 8       0.90384202    0.00012261582       0.90433854    0.00012348863       0.90494364    0.00012202853       0.90458747    0.00012296857       0.91038829    0.00036092882       0.91389086    0.00017417894       0.92373414    0.00010434520       0.91163173    0.00011010402
353 353 avg       0.93323585    4.4062606e-05       0.93365358    4.7070290e-05       0.93411831    4.4557970e-05       0.93385153    4.6199076e-05       0.93848877    0.00035164656       0.94145185    0.00014110258       0.94870194    3.7658049e-05       0.93676117    3.9614753e-05
545 14 1       0.92302463    0.00016861905       0.92461756    0.00016804803       0.92501464    0.00016771153       0.92493336    0.00016787094       0.91708546    0.00015851497       0.80636759    0.00014498146       0.94179218    0.00015444168       0.95363288    0.00015667609
545 34 2       0.94195694    0.00016871427       0.94336773    0.00016811001       0.94370224    0.00016774858       0.94364108    0.00016791952       0.93574149    0.00015708569       0.82275030    0.00014416656       0.95787017    0.00015381168       0.97068422    0.00015578950
545 55 3       0.93512338    0.00027655893       0.93656096    0.00027600560       0.93691226    0.00027552445       0.93684341    0.00027578629       0.93104992    0.00025985046       0.81875193    0.00023124526       0.95176550    0.00025712338       0.96419783    0.00025990306
545 73 4       0.93789657    0.00018106184       0.93929799    0.00018048351       0.93963862    0.00018012702       0.93957268    0.00018030030       0.93488316    0.00016869839       0.82191908    0.00015426500       0.95404589    0.00016606602       0.96719779    0.00016790120
545 545 avg       0.93456594    9.9769955e-05       0.93603315    9.9429455e-05       0.93639001    9.9225109e-05       0.93632077    9.9322420e-05       0.92946031    9.3581163e-05       0.81720996    8.5125376e-05       0.95148319    9.1245529e-05       0.96409014    9.2283397e-05
857 25 1       0.96944437    0.00027856680       0.97151258    0.00027804692       0.97174365    0.00027784061       0.97174163    0.00027791474       0.98864826    0.00027967852       0.98899431    0.00027826822       0.98269193    0.00026752947       0.98870019    0.00026951231
857 35 2       0.98810255    0.00024194320       0.98982374    0.00024124537       0.99000266    0.00024103289       0.99000374    0.00024109823        1.0063799    0.00024222636        1.0057014    0.00024149148       0.99824571    0.00023048839        1.0042322    0.00023213953
857 65 3       0.97322233    0.00026529861       0.97521786    0.00026471472       0.97543817    0.00026450752       0.97543677    0.00026457792       0.99181933    0.00026601798       0.99151029    0.00026515330       0.98582708    0.00025417843       0.99174350    0.00025613279
857 74 4        1.0083172    0.00030474985        1.0094396    0.00030389953        1.0095398    0.00030362975        1.0095443    0.00030371607        1.0238004    0.00030485468        1.0254106    0.00030369029        1.0138754    0.00029033788        1.0204622    0.00029266176
857 857 avg       0.98090289    0.00013617145       0.98273089    0.00013584940       0.98292739    0.00013573943       0.98292724    0.00013577595       0.99918265    0.00013645470       0.99923102    0.00013587987       0.99210006    0.00013026850       0.99815419    0.00013122817

Conclusions

Summary remarks here...