From 7a1d747a670e225330cc933bc83f15792f9a06f0 Mon Sep 17 00:00:00 2001 From: David Alonso Date: Sun, 8 Aug 2021 11:04:39 +0100 Subject: [PATCH] first commit --- examples/validation_suite/V3calc.py | 289 +++ examples/validation_suite/config.yml | 104 + .../validation_suite/data/camb_lens_nobb.dat | 1950 +++++++++++++++++ .../validation_suite/data/camb_lens_r1.dat | 1950 +++++++++++++++++ .../validation_suite/data/mask_apodized.fits | Bin 0 -> 50339520 bytes .../data/norm_nHits_SA_35FOV.fits | Bin 0 -> 204480 bytes examples/validation_suite/init.yml | 39 + examples/validation_suite/simulator.py | 477 ++++ 8 files changed, 4809 insertions(+) create mode 100644 examples/validation_suite/V3calc.py create mode 100644 examples/validation_suite/config.yml create mode 100644 examples/validation_suite/data/camb_lens_nobb.dat create mode 100644 examples/validation_suite/data/camb_lens_r1.dat create mode 100644 examples/validation_suite/data/mask_apodized.fits create mode 100644 examples/validation_suite/data/norm_nHits_SA_35FOV.fits create mode 100644 examples/validation_suite/init.yml create mode 100644 examples/validation_suite/simulator.py diff --git a/examples/validation_suite/V3calc.py b/examples/validation_suite/V3calc.py new file mode 100644 index 0000000..ba3648e --- /dev/null +++ b/examples/validation_suite/V3calc.py @@ -0,0 +1,289 @@ +from __future__ import print_function +import numpy as np + +def so_V3_LA_bands(): + ## returns the band centers in GHz for a CMB spectrum + ## if your studies require color corrections ask and we can estimates these for you + return(np.array([27,39,93,145,225,280])) + +def so_V3_LA_beams(): + ## returns the LAC beams in arcminutes + beam_LAC_27 = 7.4 + beam_LAC_39 = 5.1 + beam_LAC_93 = 2.2 + beam_LAC_145 = 1.4 + beam_LAC_225 =1.0 + beam_LAC_280 = 0.9 + return(np.array([beam_LAC_27,beam_LAC_39,beam_LAC_93,beam_LAC_145,beam_LAC_225,beam_LAC_280])) + +def so_V3_LA_noise(sensitivity_mode,f_sky,ell_max,delta_ell=1,beam_corrected=False): + ## retuns noise curves, including the impact of the beam for the SO large aperature telescopes + # sensitivity_mode + # 0: threshold, + # 1: baseline, + # 2: goal + # f_sky: number from 0-1 + # ell_max: the maximum value of ell used in the compuatioan of N(ell) + # delta_ell: the step size for computing N_ell + #################################################################### + #################################################################### + ### Internal variables + ## LARGE APERATURE + # configuraiton + NTubes_LF = 1. + NTubes_MF = 4. + NTubes_UHF = 2. + # sensitivity + S_LA_27 = np.array([61,48,35]) * np.sqrt(1./NTubes_LF) ## converting these to per tube sensitivities + S_LA_39 = np.array([30,24,18]) * np.sqrt(1./NTubes_LF) + S_LA_93 = np.array([6.5,5.4,3.9]) * np.sqrt(4./NTubes_MF) + S_LA_145 = np.array([8.1,6.7,4.2]) * np.sqrt(4./NTubes_MF) + S_LA_225 = np.array([17,15,10]) * np.sqrt(2./NTubes_UHF) + S_LA_280 = np.array([42,36,25]) * np.sqrt(2./NTubes_UHF) + # 1/f pol: see http://simonsobservatory.wikidot.com/review-of-hwp-large-aperture-2017-10-04 + f_knee_pol_LA_27 = 700. + f_knee_pol_LA_39 = 700. + f_knee_pol_LA_93 = 700. + f_knee_pol_LA_145 = 700. + f_knee_pol_LA_225 = 700. + f_knee_pol_LA_280 = 700. + alpha_pol =-1.4 + # atmospheric 1/f temp from matthew's model + C_27 = 200. + C_39 = 7.7 + C_93 = 1800. + C_145 = 12000. + C_225 = 68000. + C_280 =124000. + alpha_temp = -3.5 + + #################################################################### + ## calculate the survey area and time + t = 5* 365. * 24. * 3600 ## five years in seconds + t = t * 0.2 ## retention after observing efficiency and cuts + t = t* 0.85 ## a kluge for the noise non-uniformity of the map edges + A_SR = 4 * np.pi * f_sky ## sky areas in Steridians + A_deg = A_SR * (180/np.pi)**2 ## sky area in square degrees + A_arcmin = A_deg * 3600. + #print("sky area: ", A_deg, "degrees^2") + + #################################################################### + ## make the ell array for the output noise curves + ell = np.arange(2,ell_max,delta_ell) + + #################################################################### + ### CALCULATE N(ell) for Temperature + ## calculate the experimental weight + W_T_27 = S_LA_27[sensitivity_mode] / np.sqrt(t) + W_T_39 = S_LA_39[sensitivity_mode] / np.sqrt(t) + W_T_93 = S_LA_93[sensitivity_mode] / np.sqrt(t) + W_T_145 = S_LA_145[sensitivity_mode] / np.sqrt(t) + W_T_225 = S_LA_225[sensitivity_mode] / np.sqrt(t) + W_T_280 = S_LA_280[sensitivity_mode] / np.sqrt(t) + + ## calculate the map noise level (white) for the survey in uK_arcmin for temperature + MN_T_27 = W_T_27 * np.sqrt(A_arcmin) + MN_T_39 = W_T_39 * np.sqrt(A_arcmin) + MN_T_93 = W_T_93 * np.sqrt(A_arcmin) + MN_T_145 = W_T_145 * np.sqrt(A_arcmin) + MN_T_225 = W_T_225 * np.sqrt(A_arcmin) + MN_T_280 = W_T_280 * np.sqrt(A_arcmin) + Map_white_noise_levels= np.array([MN_T_27,MN_T_39,MN_T_93,MN_T_145,MN_T_225,MN_T_280]) + #print("white noise level: ",Map_white_noise_levels ,"[uK-arcmin]") + + ## calculate the astmospheric contribution for T (based on Matthews model) + ell_pivot = 1000. + AN_T_27 = C_27 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_LF) + AN_T_39 = C_39 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_LF) + AN_T_93 = C_93 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_MF) + AN_T_145 = C_145 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_MF) + AN_T_225 = C_225 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_UHF) + AN_T_280 = C_280 * (ell/ell_pivot)**alpha_temp * A_SR / t / np.sqrt(NTubes_UHF) + + ## calculate N(ell) + N_ell_T_27 = W_T_27**2. * A_SR + AN_T_27 + N_ell_T_39 = W_T_39**2. * A_SR + AN_T_39 + N_ell_T_93 = W_T_93**2. * A_SR + AN_T_93 + N_ell_T_145 = W_T_145**2.* A_SR + AN_T_145 + N_ell_T_225 = W_T_225**2.* A_SR + AN_T_225 + N_ell_T_280 = W_T_280**2.* A_SR + AN_T_280 + + ## include the imapct of the beam + LA_beams = so_V3_LA_beams() / np.sqrt(8. * np.log(2)) /60. * np.pi/180. + ## lac beams as a sigma expressed in radians + if beam_corrected : + N_ell_T_27 *= np.exp( ell*(ell+1)* LA_beams[0]**2 ) + N_ell_T_39 *= np.exp( ell*(ell+1)* LA_beams[1]**2 ) + N_ell_T_93 *= np.exp( ell*(ell+1)* LA_beams[2]**2 ) + N_ell_T_145 *= np.exp( ell*(ell+1)* LA_beams[3]**2 ) + N_ell_T_225 *= np.exp( ell*(ell+1)* LA_beams[4]**2 ) + N_ell_T_280 *= np.exp( ell*(ell+1)* LA_beams[5]**2 ) + + ## make an array of nosie curves for T + N_ell_T_LA = np.array([N_ell_T_27,N_ell_T_39,N_ell_T_93,N_ell_T_145,N_ell_T_225,N_ell_T_280]) + + #################################################################### + ### CALCULATE N(ell) for Polarization + ## calculate the astmospheric contribution for P + AN_P_27 = (ell / f_knee_pol_LA_27 )**alpha_pol + 1. + AN_P_39 = (ell / f_knee_pol_LA_39 )**alpha_pol + 1. + AN_P_93 = (ell / f_knee_pol_LA_93 )**alpha_pol + 1. + AN_P_145 = (ell / f_knee_pol_LA_145)**alpha_pol + 1. + AN_P_225 = (ell / f_knee_pol_LA_225)**alpha_pol + 1. + AN_P_280 = (ell / f_knee_pol_LA_280)**alpha_pol + 1. + + ## calculate N(ell) + N_ell_P_27 = (W_T_27 * np.sqrt(2))**2.* A_SR * AN_P_27 + N_ell_P_39 = (W_T_39 * np.sqrt(2))**2.* A_SR * AN_P_39 + N_ell_P_93 = (W_T_93 * np.sqrt(2))**2.* A_SR * AN_P_93 + N_ell_P_145 = (W_T_145 * np.sqrt(2))**2.* A_SR * AN_P_145 + N_ell_P_225 = (W_T_225 * np.sqrt(2))**2.* A_SR * AN_P_225 + N_ell_P_280 = (W_T_280 * np.sqrt(2))**2.* A_SR * AN_P_280 + + ## include the imapct of the beam + if beam_corrected : + N_ell_P_27 *= np.exp( ell*(ell+1)* LA_beams[0]**2 ) + N_ell_P_39 *= np.exp( ell*(ell+1)* LA_beams[1]**2 ) + N_ell_P_93 *= np.exp( ell*(ell+1)* LA_beams[2]**2 ) + N_ell_P_145 *= np.exp( ell*(ell+1)* LA_beams[3]**2 ) + N_ell_P_225 *= np.exp( ell*(ell+1)* LA_beams[4]**2 ) + N_ell_P_280 *= np.exp( ell*(ell+1)* LA_beams[5]**2 ) + + ## make an array of nosie curves for T + N_ell_P_LA = np.array([N_ell_P_27,N_ell_P_39,N_ell_P_93,N_ell_P_145,N_ell_P_225,N_ell_P_280]) + + #################################################################### + return(ell, N_ell_T_LA,N_ell_P_LA,Map_white_noise_levels) + +def so_V3_SA_bands(): + ## returns the band centers in GHz for a CMB spectrum + ## if your studies require color corrections ask and we can estimates these for you + return(np.array([27.,39.,93.,145.,225.,280.])) + +def so_V3_SA_beams(): + ## returns the LAC beams in arcminutes + beam_SAC_27 = 91. + beam_SAC_39 = 63. + beam_SAC_93 = 30. + beam_SAC_145 = 17. + beam_SAC_225 = 11. + beam_SAC_280 = 9. + return(np.array([beam_SAC_27,beam_SAC_39,beam_SAC_93,beam_SAC_145,beam_SAC_225,beam_SAC_280])) + +def so_V3_SA_noise(sensitivity_mode,one_over_f_mode,SAC_yrs_LF,f_sky,ell_max,delta_ell=1, + beam_corrected=False,remove_kluge=False): + ## retuns noise curves, including the impact of the beam for the SO small aperature telescopes + ## noise curves are polarization only + # sensitivity_mode + # 0: threshold, + # 1: baseline, + # 2: goal + # one_over_f_mode + # 0: pessimistic + # 1: optimistic + # 2: none + # SAC_yrs_LF: 0,1,2,3,4,5: number of years where an LF is deployed on SAC + # f_sky: number from 0-1 + # ell_max: the maximum value of ell used in the compuatioan of N(ell) + # delta_ell: the step size for computing N_ell + #################################################################### + #################################################################### + ### Internal variables + ## SMALL APERATURE + ## LARGE APERATURE + # configuraiton + if (SAC_yrs_LF > 0): + NTubes_LF = SAC_yrs_LF/5. + 1e-6 ## reguarlized in case zero years is called + NTubes_MF = 2 - SAC_yrs_LF/5. + else: + NTubes_LF = -SAC_yrs_LF/5. + 1e-6 ## reguarlized in case zero years is called + NTubes_MF = 2 + NTubes_UHF = 1. + # sensitivity + S_SA_27 = np.array([32,21,15]) * np.sqrt(1./NTubes_LF) + S_SA_39 = np.array([17,13,10]) * np.sqrt(1./NTubes_LF) + S_SA_93 = np.array([4.6,3.4,2.4]) * np.sqrt(2./(NTubes_MF)) + S_SA_145 = np.array([5.5,4.3,2.7]) * np.sqrt(2./(NTubes_MF)) + S_SA_225 = np.array([11,8.6,5.7]) * np.sqrt(1./NTubes_UHF) + S_SA_280 = np.array([26,22,14]) * np.sqrt(1./NTubes_UHF) + # 1/f pol: see http://simonsobservatory.wikidot.com/review-of-hwp-large-aperture-2017-10-04 + f_knee_pol_SA_27 = np.array([ 30.,15.,0.1]) + f_knee_pol_SA_39 = np.array([ 30.,15.,0.1]) ## from QUIET + f_knee_pol_SA_93 = np.array([ 50.,25.,0.1]) + f_knee_pol_SA_145 = np.array([ 50.,25.,0.1]) ## from ABS, improving possible by scanning faster + f_knee_pol_SA_225 = np.array([ 70.,35.,0.1]) + f_knee_pol_SA_280 = np.array([100.,40.,0.1]) + alpha_pol =np.array([-2.4,-2.4,-2.5,-3,-3,-3]) ## roughly consistent with Yuji's table, but ectrapolated + #alpha_pol =np.array([-2.4,-2.4,-2.4,-2.4,-2.4,-2.4]) ## roughly consistent with Yuji's table, but ectrapolated + + #################################################################### + ## calculate the survey area and time + t = 5* 365. * 24. * 3600 ## five years in seconds + t = t * 0.2 ## retention after observing efficiency and cuts + if remove_kluge==False : + t = t* 0.85 ## a kluge for the noise non-uniformity of the map edges + #print("when generating relizations from a hits map, the total integration time should be 1/0.85 longer") + #print("since we should remove a cluge for map non-uniformity since this is included correcly in a hits map") + A_SR = 4 * np.pi * f_sky ## sky areas in Steridians + A_deg = A_SR * (180/np.pi)**2 ## sky area in square degrees + A_arcmin = A_deg * 3600. + #print("sky area: ", A_deg, "degrees^2") + + #################################################################### + ## make the ell array for the output noise curves + ell = np.arange(2,ell_max,delta_ell) + + #################################################################### + ### CALCULATE N(ell) for Temperature + ## calculate the experimental weight + W_T_27 = S_SA_27[sensitivity_mode] / np.sqrt(t) + W_T_39 = S_SA_39[sensitivity_mode] / np.sqrt(t) + W_T_93 = S_SA_93[sensitivity_mode] / np.sqrt(t) + W_T_145 = S_SA_145[sensitivity_mode] / np.sqrt(t) + W_T_225 = S_SA_225[sensitivity_mode] / np.sqrt(t) + W_T_280 = S_SA_280[sensitivity_mode] / np.sqrt(t) + + ## calculate the map noise level (white) for the survey in uK_arcmin for temperature + MN_T_27 = W_T_27 * np.sqrt(A_arcmin) + MN_T_39 = W_T_39 * np.sqrt(A_arcmin) + MN_T_93 = W_T_93 * np.sqrt(A_arcmin) + MN_T_145 = W_T_145 * np.sqrt(A_arcmin) + MN_T_225 = W_T_225 * np.sqrt(A_arcmin) + MN_T_280 = W_T_280 * np.sqrt(A_arcmin) + Map_white_noise_levels = np.sqrt(2)*np.array([MN_T_27,MN_T_39,MN_T_93,MN_T_145,MN_T_225,MN_T_280]) + #print("white noise level: ",Map_white_noise_levels ,"[uK-arcmin]") + + #################################################################### + ### CALCULATE N(ell) for Polarization + ## calculate the astmospheric contribution for P + AN_P_27 = (ell / f_knee_pol_SA_27[one_over_f_mode] )**alpha_pol[0] + 1. + AN_P_39 = (ell / f_knee_pol_SA_39[one_over_f_mode] )**alpha_pol[1] + 1. + AN_P_93 = (ell / f_knee_pol_SA_93[one_over_f_mode] )**alpha_pol[2] + 1. + AN_P_145 = (ell / f_knee_pol_SA_145[one_over_f_mode])**alpha_pol[3] + 1. + AN_P_225 = (ell / f_knee_pol_SA_225[one_over_f_mode])**alpha_pol[4] + 1. + AN_P_280 = (ell / f_knee_pol_SA_280[one_over_f_mode])**alpha_pol[5] + 1. + + ## calculate N(ell) + N_ell_P_27 = (W_T_27 * np.sqrt(2))**2.* A_SR * AN_P_27 + N_ell_P_39 = (W_T_39 * np.sqrt(2))**2.* A_SR * AN_P_39 + N_ell_P_93 = (W_T_93 * np.sqrt(2))**2.* A_SR * AN_P_93 + N_ell_P_145 = (W_T_145 * np.sqrt(2))**2.* A_SR * AN_P_145 + N_ell_P_225 = (W_T_225 * np.sqrt(2))**2.* A_SR * AN_P_225 + N_ell_P_280 = (W_T_280 * np.sqrt(2))**2.* A_SR * AN_P_280 + + ## include the imapct of the beam + SA_beams = so_V3_SA_beams() / np.sqrt(8. * np.log(2)) /60. * np.pi/180. + ## lac beams as a sigma expressed in radians + if beam_corrected : + N_ell_P_27 *= np.exp( ell*(ell+1)* SA_beams[0]**2 ) + N_ell_P_39 *= np.exp( ell*(ell+1)* SA_beams[1]**2 ) + N_ell_P_93 *= np.exp( ell*(ell+1)* SA_beams[2]**2 ) + N_ell_P_145 *= np.exp( ell*(ell+1)* SA_beams[3]**2 ) + N_ell_P_225 *= np.exp( ell*(ell+1)* SA_beams[4]**2 ) + N_ell_P_280 *= np.exp( ell*(ell+1)* SA_beams[5]**2 ) + + ## make an array of nosie curves for T + N_ell_P_SA = np.array([N_ell_P_27,N_ell_P_39,N_ell_P_93,N_ell_P_145,N_ell_P_225,N_ell_P_280]) + + #################################################################### + return(ell,N_ell_P_SA,Map_white_noise_levels) diff --git a/examples/validation_suite/config.yml b/examples/validation_suite/config.yml new file mode 100644 index 0000000..c7404dc --- /dev/null +++ b/examples/validation_suite/config.yml @@ -0,0 +1,104 @@ +global: + nside: 64 + compute_dell: True + + +BBCompSep: + # Sampler type (choose 'emcee', 'polychord', 'maximum_likelihood', + # 'single_point' or 'timing') + sampler: 'fisher' + # If you chose polychord: + nlive: 50 + nrepeat: 50 + # If you chose emcee: + nwalkers: 24 + n_iters: 1000 + # Likelihood type (choose 'chi2' or 'h&l') + likelihood_type: 'chi2' + # What is the starting point? + r_init: 1.e-3 + # Which polarization channels do you want to include? + pol_channels: ['B'] + # Scale cuts (will apply to all frequencies) + l_min: 30 + l_max: 300 + + # CMB model + cmb_model: + # Template power spectrum. Should contained the lensed power spectra + # with r=0 and r=1 respectively. + cmb_templates: ["./examples/data/camb_lens_nobb.dat", + "./examples/data/camb_lens_r1.dat"] + # Free parameters + params: + # tensor-to-scalar ratio + # See below for the meaning of the different elements in the list. + r_tensor: ['r_tensor', 'tophat', [-0.1, 0.00, 0.1]] + # Lensing amplitude + A_lens: ['A_lens', 'tophat', [0.00, 1.0, 2.00]] + + # Foreground model + fg_model: + # Add one section per component. They should be called `component_X`, + # starting with X=1 + component_1: + # Name for this component + name: Dust + # Type of SED. Should be one of the classes stored in fgbuster.components + # https://github.com/fgbuster/fgbuster/blob/master/fgbuster/component_model.py + sed: Dust + # Type of power spectra for all possible polarization channel combinations. + # Any combinations not added here will be assumed to be zero. + # The names should be one of the classes in bbpower/fgcls.py + cl: + EE: ClPowerLaw + BB: ClPowerLaw + # Parameters of the SED + sed_parameters: + # The key can be anything you want, but each parameter in the model + # must have a different name. + # The first item in the list is the name of the parameter used by fgbuster + # The second item is the type of prior. The last item are the numbers + # necessary to define the prior. They should be: + # - Gaussian: [mean,sigma] + # - tophat: [lower edge, start value, upper edge] + # - fixed: [parameter value] + # nu0-type parameters can only be fixed. + beta_d: ['beta_d', 'Gaussian', [1.6, 0.11]] + temp_d: ['temp', 'fixed', [19.6]] + nu0_d: ['nu0', 'fixed', [353.]] + cl_parameters: + # Same for power spectrum parameters + # (broken down by polarization channel combinations) + EE: + amp_d_ee: ['amp', 'tophat', [0., 56., 100.]] + alpha_d_ee: ['alpha', 'tophat', [-1., -0.16, 0.]] + l0_d_ee: ['ell0', 'fixed', [80.]] + BB: + amp_d_bb: ['amp', 'tophat', [0., 28., 50.]] + alpha_d_bb: ['alpha', 'tophat', [-1., -0.16, 0.]] + l0_d_bb: ['ell0', 'fixed', [80.]] + # If this component should be correlated with any other, list them here + cross: + # In this case the list should contain: + # [component name, prior type, prior parameters] + epsilon_ds: ['component_2', 'tophat', [-1., 0., 1.]] + + component_2: + name: Synchrotron + sed: Synchrotron + cl: + EE: ClPowerLaw + BB: ClPowerLaw + sed_parameters: + beta_s: ['beta_pl', 'Gaussian', [-3.0, 0.3]] + nu0_s: ['nu0', 'fixed', [23.]] + cl_parameters: + EE: + amp_s_ee: ['amp', 'tophat', [0., 3.2, 8.]] + alpha_s_ee: ['alpha', 'tophat', [-1., -0.93, 0.]] + l0_s_ee: ['ell0', 'fixed', [80.]] + BB: + amp_s_bb: ['amp', 'tophat', [0., 1.6, 4.]] + alpha_s_bb: ['alpha', 'tophat', [-1., -0.93, 0.]] + l0_s_bb: ['ell0', 'fixed', [80.]] diff --git a/examples/validation_suite/data/camb_lens_nobb.dat b/examples/validation_suite/data/camb_lens_nobb.dat new file mode 100644 index 0000000..f119e45 --- /dev/null +++ b/examples/validation_suite/data/camb_lens_nobb.dat @@ -0,0 +1,1950 @@ + 1 0.0 0.0 0.0 0.0 + 2 0.12106E+04 0.53040E-01 0.16195E-05 0.34679E+01 + 3 0.11283E+04 0.86931E-01 0.32311E-05 0.43636E+01 + 4 0.10519E+04 0.97874E-01 0.53737E-05 0.44961E+01 + 5 0.99319E+03 0.86803E-01 0.80497E-05 0.41736E+01 + 6 0.95045E+03 0.63958E-01 0.11261E-04 0.36370E+01 + 7 0.92067E+03 0.40480E-01 0.15011E-04 0.30387E+01 + 8 0.90050E+03 0.23231E-01 0.19299E-04 0.24718E+01 + 9 0.88779E+03 0.13761E-01 0.24128E-04 0.19840E+01 + 10 0.88098E+03 0.10060E-01 0.29497E-04 0.16012E+01 + 11 0.87813E+03 0.90858E-02 0.35410E-04 0.13332E+01 + 12 0.87927E+03 0.85055E-02 0.41863E-04 0.11801E+01 + 13 0.88306E+03 0.77280E-02 0.48866E-04 0.11173E+01 + 14 0.88808E+03 0.66942E-02 0.56411E-04 0.11166E+01 + 15 0.89467E+03 0.58448E-02 0.64510E-04 0.11582E+01 + 16 0.90336E+03 0.56042E-02 0.73154E-04 0.12250E+01 + 17 0.91384E+03 0.58337E-02 0.82355E-04 0.13023E+01 + 18 0.92561E+03 0.62725E-02 0.92104E-04 0.13770E+01 + 19 0.93817E+03 0.67342E-02 0.10242E-03 0.14412E+01 + 20 0.95116E+03 0.71110E-02 0.11328E-03 0.14905E+01 + 21 0.96463E+03 0.75351E-02 0.12470E-03 0.15305E+01 + 22 0.97866E+03 0.81752E-02 0.13668E-03 0.15679E+01 + 23 0.99316E+03 0.91052E-02 0.14923E-03 0.16044E+01 + 24 0.10080E+04 0.10358E-01 0.16234E-03 0.16413E+01 + 25 0.10232E+04 0.11899E-01 0.17601E-03 0.16818E+01 + 26 0.10387E+04 0.13677E-01 0.19025E-03 0.17285E+01 + 27 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