# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2020, GEM Foundation
#
# OpenQuake is free software: you can redistribute it and/or modify it
# under the terms of the GNU Affero General Public License as published
# by the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# OpenQuake is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Affero General Public License for more details.
#
# You should have received a copy of the GNU Affero General Public License
# along with OpenQuake. If not, see <http://www.gnu.org/licenses/>.
"""
Module :mod:`openquake.hazardlib.gsim.lanzano_2020` implements
:class:`~openquake.hazardlib.gsim.lanzano_2020.LanzanoEtAl2020`
"""
import numpy as np
from scipy.constants import g as gravity_acc
from openquake.baselib.general import CallableDict
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, SA
from openquake.hazardlib.gsim.base import GMPE, CoeffsTable
CONSTS = {'Mh': 5.0,
'Rref': 1.0,
'PseudoDepth': 6.0}
def _get_distance_term(C, mag, ctx):
term1 = C['c1']*(mag-C['Mref']) + C['c2']
tmp = np.sqrt(ctx.rjb ** 2 + CONSTS['PseudoDepth'] ** 2)
term2 = np.log10(tmp / CONSTS['Rref'])
term3 = C['c3'] * (tmp-CONSTS['Rref'])
return term1 * term2 + term3
def _get_magnitude_term(C, mag):
if mag <= CONSTS['Mh']:
return C['b1'] * (mag-CONSTS['Mh'])
else:
return C['b2'] * (mag-CONSTS['Mh'])
_get_site_correction = CallableDict()
@_get_site_correction.add("ref")
def _get_site_correction_1(kind, ctx, C):
"""
Compute the fourth term of the equation 1 described on paragraph :
The functional form Fs in Eq. (1) represents the site amplification and
it is given by FS = sj Cj , for j = 1,...,3, where sj are the
coefficients to be determined through the regression analysis,
while Cj are dummy variables used to denote two different
site classes
"""
s_others = np.zeros(len(ctx.siteclass))
list_sites = [x.decode('utf-8') for x in ctx.siteclass]
idx = [index for index, value in enumerate(list_sites) if value != 'A']
s_others[idx] = 1.0
return (C['s_other'] * s_others)
@_get_site_correction.add("ec8")
def _get_site_correction_2(kind, ctx, C):
ssb, ssc, ssd, sse = _get_site_type_dummy_variables(kind, ctx)
return ((C['sB'] * ssb) + (C['sC'] * ssc) +
(C['sD'] * ssd) + (C['sE'] * sse))
@_get_site_correction.add("cluster")
def _get_site_correction_3(kind, ctx, C):
cl2, cl3, cl4, cl5, cl6, cl7, cl8, cl9 = _get_site_type_dummy_variables(
kind, ctx)
return ((C['s2'] * cl2) + (C['s3'] * cl3) + (C['s4'] * cl4) +
(C['s5'] * cl5) + (C['s6'] * cl6) + (C['s7'] * cl7) +
(C['s8'] * cl8) + (C['s9'] * cl9))
_get_site_type_dummy_variables = CallableDict()
@_get_site_type_dummy_variables.add("ec8")
def _get_site_type_dummy_variables_1(kind, ctx):
"""
Get site type dummy variables for five different EC8 site classes
"""
ssb = np.zeros(len(ctx.siteclass))
ssc = np.zeros(len(ctx.siteclass))
ssd = np.zeros(len(ctx.siteclass))
sse = np.zeros(len(ctx.siteclass))
list_sites = [x.decode('utf-8') for x in ctx.siteclass]
idx = [index for index, value in enumerate(list_sites) if value == 'B']
ssb[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == 'C']
ssc[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == 'D']
ssd[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == 'E']
sse[idx] = 1.0
return ssb, ssc, ssd, sse
@_get_site_type_dummy_variables.add("cluster")
def _get_site_type_dummy_variables_2(kind, ctx):
"""
Get site type dummy variables.
The recording sites are classified into 9 different clusters.
"""
cl2 = np.zeros(len(ctx.siteclass))
cl3 = np.zeros(len(ctx.siteclass))
cl4 = np.zeros(len(ctx.siteclass))
cl5 = np.zeros(len(ctx.siteclass))
cl6 = np.zeros(len(ctx.siteclass))
cl7 = np.zeros(len(ctx.siteclass))
cl8 = np.zeros(len(ctx.siteclass))
cl9 = np.zeros(len(ctx.siteclass))
list_sites = [x.decode('utf-8') for x in ctx.siteclass]
idx = [index for index, value in enumerate(list_sites) if value == '2']
cl2[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == '3']
cl3[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == '4']
cl4[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == '5']
cl5[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == '6']
cl6[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == '7']
cl7[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == '8']
cl8[idx] = 1.0
idx = [index for index, value in enumerate(list_sites) if value == '9']
cl9[idx] = 1.0
return cl2, cl3, cl4, cl5, cl6, cl7, cl8, cl9
[docs]class LanzanoEtAl2020_ref(GMPE):
"""
Implements the GMM proposed in Lanzano et al (2020):
"Methodology to identify the reference rock sites in regions of
medium-to-high seismicity: an application in Central Italy" by
Lanzano G, Felicetta C, Pacor F, Spallarossa D, and Traversa P.
The site term for Reference Rock Sites is zero,
whereas for other sites, the site term is provided.
"""
kind = "ref"
#: Supported tectonic region type is 'active shallow crust'
DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.ACTIVE_SHALLOW_CRUST
#: Set of :mod:`intensity measure types <openquake.hazardlib.imt>`
#: this GSIM can calculate. A set should contain classes from module
#: :mod:`openquake.hazardlib.imt`.
DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, SA}
#: Supported intensity measure component is the geometric mean of two
#: horizontal components
DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.AVERAGE_HORIZONTAL
#: Supported standard deviation types are inter-event, intra-event
#: and total
DEFINED_FOR_STANDARD_DEVIATION_TYPES = {
const.StdDev.TOTAL, const.StdDev.INTER_EVENT, const.StdDev.INTRA_EVENT}
#: Required site parameter is not set
REQUIRES_SITES_PARAMETERS = {'siteclass'}
#: Required rupture parameters is magnitude, ev_lat, ev_lon
REQUIRES_RUPTURE_PARAMETERS = {'mag'}
#: Required distance measure is Rjb
REQUIRES_DISTANCES = {'rjb'}
[docs] def compute(self, ctx, imts, mean, sig, tau, phi):
for m, imt in enumerate(imts):
# Ergodic coeffs
C = self.COEFFS[imt]
# Get mean
mean[m] = (C['a'] + _get_magnitude_term(C, ctx.mag) +
_get_distance_term(C, ctx.mag, ctx) +
_get_site_correction(self.kind, ctx, C))
# To natural logarithm and fraction of g
mean[m] = np.log(10.0 ** mean[m] / (gravity_acc * 100))
# Get stds
sig[m] = np.log(10.0 ** np.sqrt(
C['tau'] ** 2 + C['phi_S2S'] ** 2 + C['phi_0'] ** 2))
tau[m] = np.log(10.0 ** C['tau'])
phi[m] = np.log(10.0 ** np.sqrt(
C['phi_S2S'] ** 2 + C['phi_0'] ** 2))
COEFFS = CoeffsTable(sa_damping=5., table="""\
IMT a b1 b2 c1 c2 c3 s_other Mref tau phi_S2S phi_0 sigma
pga 2.88013426131621 0.569253138264182 0.214397115956832 0.166899352569838 -1.41318304541776 -0.00598907637537312 0.339427441478476 3.81278167434967 0.155737446367176 0.261441590479063 0.214894236857538 0.372539112668422
0.0399042298483639 2.96950031744096 0.449412610288790 0.140808497431903 0.214380350170792 -1.43231636898807 -0.00665274291717771 0.374110802998023 3.91588329541421 0.180685154866461 0.265270823737769 0.214870079160844 0.386244593533967
0.0422654268808115 2.96701583486237 0.445920211119872 0.141800079005613 0.214078600148658 -1.42719956860868 -0.00678001214718295 0.375920466025263 3.91849370907382 0.181360681993709 0.276283985201019 0.214429922978836 0.393960314397897
0.0447828034034931 2.96598735658502 0.442679651115467 0.127770640908337 0.217575718411917 -1.41397233240366 -0.00711711116729072 0.370352671728875 3.90559740317707 0.181058398702317 0.278768115394770 0.214583509749297 0.395651220847006
0.047438330170778 2.95428111593663 0.436321339758675 0.117401665387745 0.221048043142706 -1.40493554134354 -0.00725473727420865 0.377406385803140 3.90345771578653 0.180819220583177 0.290809983699458 0.214655887643877 0.404157379311287
0.0502260170768458 2.95571351639957 0.437565210530119 0.119664687993080 0.219736304387148 -1.39528347591264 -0.00744954325202958 0.380681129705774 3.89049290740867 0.182428015050688 0.293128019752825 0.215383631577814 0.406932580891717
0.0532197977647685 2.96232170527409 0.436941405915149 0.119035183061854 0.218870976574165 -1.39109563836478 -0.00764995607265580 0.379699821198647 3.85568068743395 0.184089556198512 0.291814276935471 0.216005130780751 0.407066030820979
0.056369785794814 2.97382613284666 0.444871389410847 0.120379247375472 0.214803037338119 -1.38757472687494 -0.00773536330394386 0.384519555927780 3.82965731674099 0.184460551205423 0.293824311402061 0.216473628215677 0.408924507256246
0.0597014925373134 2.97423344907176 0.450746786819342 0.128323408783896 0.210138957856001 -1.38525479433739 -0.00782018252518949 0.387251787117516 3.77876433547759 0.183531183440022 0.299122850271667 0.217916326600324 0.413092847007207
0.0632511068943707 2.98722379064012 0.465866765134967 0.138172152794754 0.201122161481644 -1.37786888083567 -0.00794584379054016 0.391040388122758 3.74094838379900 0.183628944798924 0.299250442423620 0.218834211894349 0.413713462379604
0.0669792364367046 2.98965122688604 0.476267877769067 0.148387079595120 0.195109128317236 -1.36181787148354 -0.00815986980709281 0.392566561094644 3.71010728849464 0.183135414231686 0.299358273464202 0.219424184190015 0.413885163354200
0.07097232079489 2.99406714176123 0.492764546798953 0.156505842984994 0.185287903950039 -1.34672424225956 -0.00828337039765202 0.393987927837048 3.67218427235496 0.182143117771820 0.302136402472195 0.219693515100451 0.415605295475974
0.075187969924812 2.99510982014303 0.505551938787962 0.165388273259372 0.179090685475501 -1.33509839223843 -0.00834958195796843 0.388611252647993 3.62925939506460 0.180686608961789 0.308759957759658 0.220729600421694 0.420359273331964
0.0796178343949045 2.99062554164733 0.518297063079211 0.167796521471313 0.173755871096163 -1.32299623477137 -0.00840019230997627 0.387497537256311 3.57369676430942 0.179397878475918 0.308861534851303 0.222267332941238 0.420692065298568
0.0843170320404722 2.98717858606940 0.532217307425021 0.179017881417699 0.166643489823472 -1.30957326859521 -0.00851069120536993 0.385228963248079 3.49723289013590 0.178099650585862 0.308594625618820 0.223130250062572 0.420401280912192
0.0893655049151028 2.99386822180326 0.546299832530299 0.191949737465628 0.158798283651350 -1.30074927741242 -0.00847961516003442 0.384579651726741 3.45178858667030 0.176333223170197 0.307347969871203 0.224018175988720 0.419213935062819
0.0946073793755913 3.00686059195449 0.561559678764369 0.203227737692687 0.151294827189644 -1.29613312518347 -0.00836450876661932 0.385620101017497 3.42285916721909 0.174947438397337 0.306175862655325 0.224936246743905 0.418266159489095
0.100200400801603 3.01768264473694 0.574991391888360 0.212763940061066 0.145082972273000 -1.29088313654399 -0.00822829379421259 0.385331557635117 3.40976737395031 0.173376789735285 0.301957633463985 0.225862000481105 0.415032007063805
0.106157112526539 3.03238088377701 0.590122391972946 0.225363518682195 0.137949574959235 -1.28571694487147 -0.00813407020240352 0.383668588867056 3.39124207412723 0.171466687068837 0.297133021962885 0.226877667648822 0.411293488391110
0.112485939257593 3.04863364899145 0.609149920954030 0.239527312385211 0.129380184108262 -1.28017052705485 -0.00801699556317075 0.381692642590264 3.36832679835694 0.168803922615572 0.293968205336596 0.227737739196876 0.408382844759335
0.119189511323004 3.05459081472761 0.623966139131395 0.245882881929482 0.123224218330793 -1.27401480730974 -0.00788333689678662 0.380084026286217 3.34045021321693 0.166573549970318 0.291026795213173 0.228187488455797 0.405601865096216
0.126262626262626 3.06439379055793 0.640131474582024 0.255464818644867 0.116472772078115 -1.27031334507669 -0.00771431426255746 0.378959822228332 3.31438604895075 0.164658410638499 0.288157049901183 0.228576229054310 0.402981352038079
0.133689839572193 3.07682145638902 0.651823251684664 0.265338831963279 0.112668824166680 -1.27264375519493 -0.00749247840608884 0.374909941254531 3.30960538014624 0.162705498945908 0.285252981425333 0.228566249330842 0.400106077350053
0.141643059490085 3.09165407132118 0.662326867682481 0.272647735119004 0.110246518837694 -1.27783312604418 -0.00725996834585422 0.369991467671697 3.31695134515147 0.161106631687377 0.282043996912899 0.228510376176143 0.397141228013936
0.149925037481259 3.12262058349222 0.679767499653559 0.284085983346150 0.104449840824454 -1.28849153855018 -0.00698451090789442 0.364384572614720 3.32730719305991 0.158831248112219 0.277296055323239 0.228880410993254 0.393073415803148
0.158982511923688 3.14885713725955 0.695720885988155 0.299091084619285 0.0982239575530748 -1.29742524659949 -0.00666898551091210 0.358487379504894 3.36468112228562 0.156036463215858 0.272944621594082 0.229028174787414 0.388973069963082
0.168350168350168 3.16799918416449 0.712139848304798 0.315352126046833 0.0911868589684849 -1.30057461079258 -0.00638553169442288 0.352024221649069 3.40764965029756 0.153463039624170 0.268984601796931 0.228793234772298 0.385032420468868
0.17825311942959 3.17643101076960 0.724296706821514 0.327511273585619 0.0870219794246487 -1.30377257481523 -0.00610800964659948 0.347827051973820 3.44854035836812 0.151425898055137 0.264394240351555 0.228583700551068 0.380899757272830
0.188679245283019 3.18336514460574 0.734818971662827 0.340261685270005 0.0838290659740484 -1.31028916854977 -0.00584506927084642 0.342874476484811 3.46965075722036 0.149223188966194 0.259632513065228 0.228497431550143 0.376679808578610
0.2 3.19305456504480 0.739880666722022 0.344133541107693 0.0849723768557619 -1.32336282162587 -0.00552517795623317 0.336235372774562 3.52085298608413 0.147008788049248 0.255564330209715 0.227948497752366 0.372673084977718
0.211864406779661 3.20961837356910 0.748900759602657 0.355173076419168 0.0839784279913528 -1.33571862180792 -0.00522506302304435 0.327015738999233 3.57845764048298 0.145032739852761 0.252372600529084 0.227400741528940 0.369374501522402
0.224215246636771 3.22504867417842 0.760904688562204 0.369049804987820 0.0815458086655374 -1.34514805960421 -0.00492480443526148 0.318911727465050 3.65867332686577 0.142656765545449 0.248678942221869 0.226553568182298 0.365402091286583
0.237529691211401 3.23341367785240 0.769840154202946 0.382615958851896 0.0802602433518650 -1.35439278822072 -0.00457528620924709 0.311998247382918 3.75998590365660 0.140338357943396 0.244540171185430 0.225529191958790 0.361051473420664
0.251889168765743 3.25342369876741 0.783821889434033 0.396903874842023 0.0761344526730204 -1.37074337788675 -0.00418887426184403 0.305514360955855 3.85559206523876 0.137364836052785 0.240717914913337 0.224581910699507 0.356722927995208
0.266666666666667 3.27137645754185 0.796722125302770 0.409742471232562 0.0727660028580962 -1.38727608269733 -0.00384219844909158 0.297433044326606 3.93832021697493 0.134720325980347 0.237366353126711 0.223448431161200 0.352734394718358
0.282485875706215 3.28656846730028 0.805262193236139 0.416193616384299 0.0728257301976143 -1.40568090006138 -0.00348563316607277 0.289479410073700 4.02965431622306 0.133545626347184 0.235460538917125 0.221539644084675 0.349794101729530
0.29940119760479 3.28819683667019 0.810071227507866 0.423933356229202 0.0744105707230608 -1.41950149328261 -0.00311351595051403 0.281784607738253 4.12135517338210 0.132111268731269 0.234685890876018 0.219488893027383 0.347428019688168
0.317460317460317 3.28975454921290 0.817943050679782 0.435058595787690 0.0742472119560204 -1.43098291471894 -0.00274650317765909 0.272157232507921 4.21752867453363 0.131057002518500 0.235479535327033 0.217581075152039 0.346364076848750
0.335570469798658 3.28416969844908 0.821856159202589 0.442108607337370 0.0761313076384498 -1.44044541236609 -0.00242472245737293 0.263076522689601 4.30337532615948 0.129939900807196 0.235641003570201 0.216088176506826 0.345116154955691
0.355871886120996 3.28265108584414 0.826955323082914 0.455075873896069 0.0772864546846015 -1.45379626344089 -0.00209917944196348 0.253586920977278 4.37150105070936 0.128896506122099 0.236069441630284 0.214463591349900 0.344002503736260
0.377358490566038 3.28078477845710 0.829162916465316 0.463033825697455 0.0807096099240982 -1.47349346053823 -0.00169173546607541 0.245659412286841 4.42261927759405 0.128179219090633 0.236960245921420 0.212108773970417 0.342885115379857
0.398406374501992 3.28298523318796 0.831579575175803 0.465715534815069 0.0843512156702941 -1.49233369512269 -0.00125375656187198 0.236120404874670 4.52471928638493 0.127848199852711 0.238556483586350 0.209676662016121 0.342372108473932
0.421940928270042 3.28040108207849 0.835534057975528 0.466242071062153 0.0868676460287490 -1.50049381512147 -0.000914747859753860 0.226850694393758 4.67809776009534 0.127453451128601 0.240345559002239 0.207706715705872 0.342275400351836
0.448430493273543 3.27164101499570 0.841805551506318 0.472685283965138 0.0882484167699649 -1.50801423195180 -0.000649053756197937 0.217604301323686 4.76435931741129 0.127454772725846 0.241268863425636 0.205806365059684 0.341777183920131
0.4739336492891 3.25427332385959 0.845842090020494 0.478118955568619 0.0904951781703437 -1.51347519495109 -0.000384447076954428 0.209600285599014 4.83573266152396 0.127654779565605 0.241713103704024 0.203984466372725 0.341072763159917
0.50251256281407 3.22945850035441 0.848019454378850 0.486191860871108 0.0929451435471202 -1.51809635324631 -0.000181073149053531 0.203194029984933 4.87194107479204 0.127918866085496 0.241077404604772 0.202301293953040 0.339716594894401
0.531914893617021 3.19664498990885 0.848446665965265 0.489956295486256 0.0966566959328404 -1.51601133674253 -1.11034123040917e-05 0.197956442282899 4.92317892436622 0.128285192606971 0.239378893762443 0.200402410848550 0.337521068520248
0.564971751412429 3.15857902884973 0.853932181199138 0.496373730494690 0.0977419282827402 -1.50354633203235 0 0.190013416615062 4.97435923206417 0.128682045101678 0.237724220197530 0.198632757340566 0.335450213725957
0.598802395209581 3.12023294332872 0.858590026835093 0.504288608897990 0.0998479910458280 -1.48771674544264 0 0.180529545294340 5.04139600424271 0.129118468532308 0.236305321229164 0.197156489314105 0.333740116012460
0.632911392405063 3.07567187950527 0.860553758800281 0.514711887268942 0.103002948808826 -1.46892141417287 0 0.172246319375269 5.11688826761694 0.129780886689869 0.235087714180640 0.195301892691632 0.332042378616978
0.671140939597316 3.03352185807801 0.865497323479999 0.526073607624367 0.104298951368332 -1.45277661571946 0 0.164503843965017 5.18682007898963 0.130782092545896 0.234561413443722 0.193735473550264 0.331144147040447
0.709219858156028 2.99045099723792 0.868832983595948 0.532123745174996 0.106887787616691 -1.43653210395383 0 0.156234214723763 5.24801550913774 0.131540282535024 0.234357881676696 0.192980850637456 0.330859594610974
0.75187969924812 2.94527039090750 0.873711862979336 0.536093860973510 0.108842931077943 -1.41920467696280 0 0.148535455977646 5.31420697534731 0.132385219479885 0.233822241982703 0.192430183259319 0.330496690772798
0.793650793650794 2.88927259226585 0.874550425328731 0.533834744120818 0.113603574946381 -1.39487541189935 0 0.142630374833733 5.38040018280612 0.133830843222321 0.232819437671445 0.191575896015073 0.329874080656882
0.840336134453782 2.83183355049569 0.874044507509935 0.530515912834306 0.118585668724929 -1.37627175919420 0 0.140102286059115 5.40779525588456 0.134909612577040 0.231666845180319 0.190791392986836 0.329046328591197
0.892857142857143 2.77400330531240 0.872169106171724 0.526971476283775 0.124605168424757 -1.35767621142309 0 0.139783026465033 5.43297116197112 0.136263355632829 0.229580611376181 0.189923828661332 0.327637024619561
0.943396226415094 2.70699764565709 0.862880675796033 0.524678651104824 0.134390271465349 -1.33520855850413 0 0.139126871844014 5.44263481178222 0.137699659377362 0.227123429883225 0.189469033616106 0.326258736732034
1 2.64253961392495 0.850392462015420 0.526672501485505 0.144807676103154 -1.31893895529236 0 0.136054117268224 5.42555199253122 0.139671499828279 0.224886770430956 0.188743301749503 0.325124931886883
1.06382978723404 2.58198094686660 0.840500630302220 0.529145028013100 0.153807371568472 -1.30337606745826 0 0.133116438985350 5.42640427462940 0.140591440837698 0.223022620008032 0.188567965812833 0.324134108052295
1.12359550561798 2.52983382781120 0.835264647233755 0.529330590108875 0.159844301413384 -1.29509203309204 0 0.129481033918707 5.41946802931943 0.141158100646388 0.221666598802283 0.188766574043390 0.323565310066989
1.19047619047619 2.47654613189075 0.829374993517708 0.529712846154301 0.165495697570091 -1.28901860307041 0 0.127328866254361 5.41016784801165 0.141637804086200 0.220376104312637 0.188699678807744 0.322853625781902
1.26582278481013 2.41700805651900 0.819267009666242 0.531464650299461 0.172870475876989 -1.28176084135794 0 0.126453617275670 5.39481294214211 0.142219308181721 0.218650527284014 0.188732858004736 0.321954152624097
1.33333333333333 2.35308194295324 0.806802580512782 0.530571377024434 0.181209876125612 -1.26473959858758 0 0.126703712110570 5.42290207743670 0.143122378940171 0.216301106787949 0.188593701711122 0.320683283749386
1.40845070422535 2.29058371312852 0.794152776115596 0.528932857469600 0.189685153755549 -1.25013148669068 0 0.126381225970586 5.43636835779885 0.143266415792102 0.213531628453062 0.188848231688200 0.319037108900348
1.49253731343284 2.23215955852249 0.782654754898940 0.520401701140748 0.198744852382002 -1.23852699168497 0 0.126980707183152 5.43592656578532 0.143116079005257 0.211648703124094 0.189311743187387 0.317987926991886
1.58730158730159 2.16816735848730 0.768194024944963 0.511042814200092 0.209061970595742 -1.22736286752316 0 0.132054341244563 5.42775765002479 0.142115010877398 0.209670255708877 0.190121314836408 0.316708709701570
1.69491525423729 2.10504271397491 0.752914237995734 0.503320666019917 0.218996492741626 -1.22433079340902 0 0.137473910078798 5.38928937691258 0.140891758075500 0.208476451614753 0.191169896945598 0.316004506090775
1.78571428571429 2.04844539515705 0.739054373788888 0.502062381457535 0.227272240476616 -1.22534558528107 0 0.142083882293085 5.36281450651231 0.140170549633741 0.206009699696809 0.192410175424453 0.314816541751960
1.88679245283019 1.99368854223898 0.726219641123204 0.498985591165613 0.235617595094693 -1.22951127258319 0 0.145245477681060 5.32448916905747 0.138910021832205 0.204629716970958 0.193587975914055 0.314079002245516
2 1.94393949985108 0.713681634778468 0.492595644795684 0.243560419093234 -1.24194587668475 0 0.149386127461626 5.26896508895249 0.136974047294487 0.202213143668361 0.194681443923737 0.312334611775104
""")
[docs]class LanzanoEtAl2020_EC8(LanzanoEtAl2020_ref):
kind = "ec8"
COEFFS = CoeffsTable(sa_damping=5., table="""\
IMT a b1 b2 c1 c2 c3 sB sC sD sE Mref tau phi_S2S phi_0 sigma
pga 3.09622481409268 0.569215009619483 0.214024666583574 0.167003447922139 -1.41369462894651 -0.00597908881876995 0.0783650714707006 0.220928097624637 0.244235244347513 0.305962491781761 3.81278167434967 0.155842280528824 0.276943549784854 0.214881081744956 0.383612337470712
0.0399042298483639 3.19963423965516 0.449695151702073 0.140914140252521 0.214184072490509 -1.43178818773985 -0.00666299538914285 0.0988736079186288 0.194986447026218 0.195086233748200 0.296791629314916 3.91588329541421 0.180712786617934 0.287736417803533 0.214863708231210 0.402014639649472
0.0422654268808115 3.20286314587029 0.446181021475098 0.141604709013285 0.214015389432652 -1.42686000229189 -0.00678633482522061 0.0933386832119378 0.199914253313631 0.194778159260513 0.310036242983507 3.91849370907382 0.181394944726811 0.297904476400645 0.214420598364486 0.409423248039202
0.0447828034034931 3.20195902757759 0.442889523091371 0.127239736955223 0.217643166744411 -1.41365669088863 -0.00712257081402402 0.0869706381308448 0.201794558358320 0.195877804022348 0.314716092171694 3.90559740317707 0.181141677635475 0.299282453982991 0.214572430011704 0.410394471648684
0.047438330170778 3.19829562024923 0.436370605445957 0.116938768294341 0.221159842673568 -1.40471405452361 -0.00725824435717939 0.0843755018147887 0.205319252993514 0.199215154741629 0.321544392665617 3.90345771578653 0.180895900542560 0.311038833065752 0.214645791324090 0.418976488888283
0.0502260170768458 3.20389528150748 0.437559435823492 0.119237404814594 0.219851054998869 -1.39514482015589 -0.00745152618558132 0.0830219037172368 0.206893198740547 0.198108682461941 0.316906293485742 3.89049290740867 0.182469597115031 0.313526505478255 0.215374576501468 0.421877033875885
0.0532197977647685 3.21164622261669 0.436930645245299 0.118619420981526 0.218976129775893 -1.39110179813360 -0.00764938826142540 0.0809363888016552 0.210060893273962 0.203476014623524 0.311984213089102 3.85568068743395 0.184141158242122 0.311804809583287 0.215996256945511 0.421645097745120
0.056369785794814 3.22723739216709 0.444863209697147 0.119984866509938 0.214908306904227 -1.38765933407754 -0.00773323174710182 0.0803982346693111 0.215785557632515 0.218599094476961 0.310939045573278 3.82965731674099 0.184521882887253 0.313891084359244 0.216465029120839 0.423595381156080
0.0597014925373134 3.23109064820279 0.450726631277826 0.127892486157593 0.210263477691661 -1.38538116285720 -0.00781719997240878 0.0776540760504841 0.223447975556145 0.235262344230633 0.318227735889258 3.77876433547759 0.183595095053594 0.318642452080618 0.217907343577233 0.427462023553641
0.0632511068943707 3.24572675738833 0.465834635097601 0.137720500401068 0.201254778581099 -1.37805300504986 -0.00794204943732778 0.0790200879296248 0.232784580016723 0.245130098981947 0.326904723406055 3.74094838379900 0.183694238121714 0.318622554171126 0.218825211562795 0.427958383912678
0.0669792364367046 3.24870607976854 0.476215440405085 0.148038873819638 0.195233625622500 -1.36207134815277 -0.00815474480275948 0.0798342105519315 0.238342769017570 0.246860555673714 0.335256001540413 3.71010728849464 0.183196943752912 0.318476028559546 0.219415667944378 0.427938472571637
0.07097232079489 3.25440882998770 0.492743910472091 0.156113577491470 0.185395052194928 -1.34701484096709 -0.00827746912027736 0.0799930824172659 0.237726392940763 0.247671073196404 0.344062157857888 3.67218427235496 0.182209782329997 0.321210269971103 0.219684130218873 0.429694728128792
0.075187969924812 3.25673174808184 0.505524638889157 0.165018085580684 0.179202347158246 -1.33547967969720 -0.00834179635130920 0.0720415397004562 0.239111003738797 0.243239601586464 0.359458060544564 3.62925939506460 0.180752653415244 0.326445800002847 0.220719203693727 0.433538174715149
0.0796178343949045 3.25321897204021 0.518239235178815 0.167369936425834 0.173893523479864 -1.32345674351826 -0.00839094768129500 0.0694514848968736 0.239876778129922 0.244036126818100 0.365936351866060 3.57369676430942 0.179468946272345 0.326238033923348 0.222255981306717 0.433633576514653
0.0843170320404722 3.24874876444362 0.532148491918561 0.178626970911536 0.166777127095399 -1.31009253040426 -0.00850049864355339 0.0679386816308804 0.240127646113891 0.249610988138037 0.373985489144765 3.49723289013590 0.178172843295205 0.325443263846220 0.223118924237446 0.432944493467296
0.0893655049151028 3.25208206857443 0.546226788241969 0.191557672223314 0.158935574256478 -1.30128422910802 -0.00846909858758203 0.0713247167209465 0.239572179529037 0.262052054653001 0.376976668409059 3.45178858667030 0.176409574187433 0.324097865951924 0.224006515106518 0.431669646129710
0.0946073793755913 3.26242703925608 0.561484050847901 0.202824415998568 0.151436084064874 -1.29667910871982 -0.00835374179955186 0.0757013170227871 0.237632354219958 0.277433094670840 0.385738302543117 3.42285916721909 0.175029516580018 0.322980834279065 0.224924015586862 0.430746751320952
0.100200400801603 3.27108727871657 0.574903397712465 0.212352177193363 0.145231813268720 -1.29144027144834 -0.00821704572764337 0.0784710120893966 0.232004924273247 0.282766042570635 0.393705060629440 3.40976737395031 0.173462559329035 0.319047689130915 0.225849033583833 0.427654619289337
0.106157112526539 3.28332957086968 0.590030039380447 0.224947048613537 0.138100536129578 -1.28629064031996 -0.00812240745704994 0.0803689361404923 0.226626146613774 0.280815507056983 0.394977573116009 3.39124207412723 0.171554874001092 0.314527471755206 0.226864095060110 0.424058867269269
0.112485939257593 3.29846261472460 0.609059456957550 0.239117318382888 0.129528170314386 -1.28076017179699 -0.00800501968372083 0.0798065861278704 0.224650733199228 0.279289731268861 0.391504347874585 3.36832679835694 0.168899543329551 0.311467950444182 0.227723289192870 0.421185512965071
0.119189511323004 3.30215015577018 0.623877367160436 0.245464665823835 0.123370297549159 -1.27462758138976 -0.00787111464158963 0.0806065879736338 0.226170363756075 0.285389477932813 0.391382017479658 3.34045021321693 0.166675198215900 0.308368057576187 0.228172621186032 0.418251390544639
0.126262626262626 3.30790770962964 0.640054832382534 0.255047349186275 0.116610840825840 -1.27094420330801 -0.00770183174575741 0.0840481520190820 0.228315886486009 0.298042310873476 0.397822898778841 3.31438604895075 0.164767933190352 0.305187142371479 0.228561169610766 0.415364745651977
0.133689839572193 3.31640957835696 0.651741580089852 0.264928308754329 0.112805963844453 -1.27328946081043 -0.00747984109330962 0.0847012971480669 0.224334353658626 0.300505614224387 0.404127825642599 3.30960538014624 0.162818328821269 0.301937789807370 0.228550846296729 0.412203501267106
0.141643059490085 3.32807056723513 0.662240675347832 0.272247514283620 0.110381670192632 -1.27848108468785 -0.00724737269498501 0.0838116573934200 0.218258811479494 0.296424316580088 0.404917503960741 3.31695134515147 0.161223353302960 0.298514636559810 0.228494705368810 0.409040081498458
0.149925037481259 3.35449288972164 0.679684681348386 0.283695798706554 0.104579708202804 -1.28914186601711 -0.00697199103209487 0.0840173327797600 0.214513723841689 0.293844272551574 0.390139388179460 3.32730719305991 0.158946837991341 0.293718202325114 0.228864405999480 0.404862193861117
0.158982511923688 3.37472598789677 0.695655290679400 0.298719314265759 0.0983377449256202 -1.29805978865248 -0.00665670351201972 0.0858838053354033 0.212917468474514 0.290666974209616 0.366929166826285 3.36468112228562 0.156150261335907 0.289328482250076 0.229012063753344 0.400674930711880
0.168350168350168 3.38627835693906 0.712095128821718 0.315009379850371 0.0912795055337445 -1.30117732324527 -0.00637382616467229 0.0891474642435151 0.213514910338250 0.281962471172506 0.347168176122972 3.40764965029756 0.153572565865003 0.285179951550472 0.228777335292354 0.396549122929506
0.17825311942959 3.38970795982048 0.724276802576824 0.327191102491142 0.0870945671489454 -1.30435190446106 -0.00609661999662537 0.0916032971695423 0.211902824714388 0.277868014550463 0.330245471850372 3.44854035836812 0.151534499739534 0.280670886002998 0.228567651284033 0.392405430740348
0.188679245283019 3.39412899134541 0.734805279216581 0.339957717859006 0.0838963050432978 -1.31086173173080 -0.00583381765959161 0.0903128879802022 0.204950764441877 0.276843756461665 0.304703496545681 3.46965075722036 0.149334424469412 0.276109062194276 0.228480892507186 0.388253142676647
0.2 3.39934625643954 0.739877263606662 0.343867363003084 0.0850274624176442 -1.32392248750909 -0.00551434849585528 0.0893081360584368 0.199085669738270 0.282126554127032 0.283824859878492 3.52085298608413 0.147117403710775 0.271721932280313 0.227932165658151 0.383965377473492
0.211864406779661 3.40801163053112 0.748917616917848 0.354948773057719 0.0840148874735013 -1.33623608449606 -0.00521530192238278 0.0900147561813341 0.195267344972634 0.277328175492482 0.262674311429384 3.57845764048298 0.145139202578178 0.267929007091082 0.227384758149707 0.380204115186360
0.224215246636771 3.41436150589724 0.760958229455359 0.368876685358862 0.0815521731678663 -1.34560903302408 -0.00491637088829089 0.0936301134590080 0.193778158085303 0.267310016902343 0.243509231187416 3.65867332686577 0.142758142879515 0.263743165196154 0.226538411557322 0.375845708312611
0.237529691211401 3.41257661111910 0.769922292308309 0.382487465666110 0.0802412627662878 -1.35479625242721 -0.00456810567338997 0.0999407777939304 0.192204615552805 0.260771369027808 0.229530909198299 3.75998590365660 0.140430647218454 0.259096410762655 0.225515323012680 0.371091468053091
0.251889168765743 3.42315200732003 0.783924931663786 0.396817940956767 0.0760949852366324 -1.37111606029871 -0.00418277480453128 0.105328558702396 0.194227002414696 0.257171629130660 0.216146613041688 3.85559206523876 0.137446537143925 0.254612059791837 0.224569358664726 0.366265270555897
0.266666666666667 3.43265569195030 0.796833794877122 0.409683528696794 0.0727141657257167 -1.38764203111499 -0.00383689962478242 0.107376786587862 0.196446988817663 0.255790982071480 0.199884852135306 3.93832021697493 0.134794389395408 0.250384509849153 0.223437044152382 0.361643530129373
0.282485875706215 3.43918687517265 0.805371050579381 0.416167982891067 0.0727658845477654 -1.40604287865834 -0.00348114224143090 0.109794369144517 0.197285010026344 0.258572374935562 0.187618803868144 4.02965431622306 0.133609214620132 0.247476570651516 0.221529612903814 0.358010397399513
0.29940119760479 3.43251871862511 0.810191932460880 0.423932052329737 0.0743382351188832 -1.41983783075678 -0.00311009639046373 0.112165138897087 0.199316084457890 0.253099748188341 0.175150238057967 4.12135517338210 0.132167708989503 0.245784369672225 0.219479963932581 0.355034807085945
0.317460317460317 3.42460772341363 0.818077117427406 0.435073236913366 0.0741615823277106 -1.43129319524247 -0.00274412301096435 0.113754582320710 0.202129869319461 0.242461569942870 0.168532657993420 4.21752867453363 0.131106639021884 0.245435090723561 0.217573038267011 0.353221405827614
0.335570469798658 3.41132701110000 0.821989672518417 0.442137166376901 0.0760396380586900 -1.44072905299899 -0.00242327550417692 0.113930146458068 0.202562083521928 0.229316237140681 0.158582000165554 4.30337532615948 0.129980700475068 0.244709936707088 0.216080999107739 0.351381464785175
0.355871886120996 3.40286909533266 0.827084965827964 0.455122340429552 0.0771925174992777 -1.45405670458465 -0.00209856184324134 0.112714795737835 0.201740377980378 0.219745635726443 0.142316469237887 4.37150105070936 0.128930070960566 0.244246880206049 0.214457387936934 0.349673380355178
0.377358490566038 3.39421911766429 0.829284172870576 0.463091230363724 0.0806192331295485 -1.47374797240310 -0.00169139747139159 0.112533331509557 0.201936285778053 0.224136793680392 0.129609008172232 4.42261927759405 0.128207986151423 0.244184826327372 0.212103530211266 0.347924452503146
0.398406374501992 3.38846282817065 0.831699085862653 0.465773215249402 0.0842634448552648 -1.49258966512096 -0.00125355774752787 0.111790811103647 0.202384693287173 0.230401750192610 0.122569994127818 4.52471928638493 0.127875480022580 0.244661023157760 0.209672128417671 0.346660577624286
0.421940928270042 3.37814682262724 0.835655781777694 0.466300213949373 0.0867783572864325 -1.50075434047457 -0.000914772966118503 0.111128532832286 0.203255194073888 0.233630825012836 0.115777529091337 4.67809776009534 0.127479131508322 0.245414411396064 0.207702901541458 0.345860748856723
0.448430493273543 3.36169440545200 0.841927101555865 0.472744001916549 0.0881596246771244 -1.50827451276048 -0.000649183334859945 0.110515939316651 0.203374953494526 0.235510853564878 0.110790692963840 4.76435931741129 0.127477687582633 0.245406559626123 0.205803179568278 0.344717114543734
0.4739336492891 3.33748704609449 0.845960939460849 0.478178762536367 0.0904075362119720 -1.51373750133881 -0.000384620202164106 0.110097512787664 0.204842677090889 0.236937518604768 0.106375852852947 4.83573266152396 0.127674763151133 0.245037135608114 0.203981821937821 0.343442319252884
0.50251256281407 3.30688365675788 0.848141667545658 0.486248243449805 0.0928563522806452 -1.51836390637140 -0.000181312442441958 0.109792931538991 0.210529563588497 0.235440712817265 0.104474557835202 4.87194107479204 0.127937780669839 0.243659593668336 0.202299114908985 0.341559665654920
0.531914893617021 3.26962758750691 0.848571880765696 0.490009635696778 0.0965665571837709 -1.51628284982201 -1.14554674178244e-05 0.109345508589837 0.214664808899653 0.231392524100303 0.100065539283231 4.92317892436622 0.128302510023781 0.241432822537201 0.200400515923378 0.338986295680280
0.564971751412429 3.22575125000796 0.854059548714028 0.496421307528724 0.0976528431507788 -1.50384595740557 0 0.107750492078372 0.214309597579942 0.234462454782952 0.0949671760704507 4.97435923206417 0.128697017913695 0.239115273905439 0.198631146675934 0.336442222475936
0.598802395209581 3.18032195355069 0.858717917092154 0.504328339288512 0.0997611241498396 -1.48801558242897 0 0.105965415464686 0.215122359721965 0.234447051038040 0.0902351459174824 5.04139600424271 0.129132597515025 0.236922939173419 0.197155193930428 0.334182401303979
0.632911392405063 3.12969599342702 0.860680857477604 0.514739990106072 0.102920700591011 -1.46921495245466 0 0.104007091860906 0.217138823283802 0.238837183799889 0.0831868059152130 5.11688826761694 0.129795125882540 0.234946302047456 0.195300795720151 0.331947195134351
0.671140939597316 3.08167003549235 0.865623142889097 0.526085054309111 0.104222755365539 -1.45305958847834 0 0.102000767824658 0.221597580237019 0.247709631737664 0.0776137782854617 5.18682007898963 0.130796319226745 0.233541303104406 0.193734647018428 0.330427497091758
0.709219858156028 3.03286395013636 0.868955778615260 0.532115525835085 0.106819261394035 -1.43680172801105 0 0.0993888468710527 0.225050139024320 0.255052664451380 0.0682606270576663 5.24801550913774 0.131555574196004 0.232484640860578 0.192980288552615 0.329541149339446
0.75187969924812 2.98224373836750 0.873833684481640 0.536072224114084 0.108778777713116 -1.41946631968248 0 0.0975068706915807 0.225985121064962 0.255023469262961 0.0625075645528434 5.31420697534731 0.132399272400623 0.231366251462034 0.192429945728343 0.328769210329709
0.793650793650794 2.92149112529368 0.874672310623641 0.533808189332436 0.113540377014167 -1.39513887953536 0 0.0968533762697133 0.227295330311784 0.252860271790018 0.0600427498825333 5.38040018280612 0.133845219337568 0.229930093914102 0.191575881786130 0.327847082202973
0.840336134453782 2.86208171168817 0.874165591886444 0.530485032118853 0.118523752539371 -1.37653540134863 0 0.0963968427924872 0.229362842651477 0.248436498776210 0.0610960943148969 5.40779525588456 0.134922746079090 0.228570719682557 0.190791622577324 0.326879434274187
0.892857142857143 2.80414237408826 0.872294532644521 0.526937101956937 0.124542312930588 -1.35794728609928 0 0.0963199969892136 0.229721437003002 0.241512558795230 0.0633335626699320 5.43297116197112 0.136274246454832 0.226526480786109 0.189924227946962 0.325509030758627
0.943396226415094 2.73647525772624 0.863009118919517 0.524639761402111 0.134326344053352 -1.33548359993338 0 0.0961849393221239 0.232151078325998 0.238040305937048 0.0687307012316626 5.44263481178222 0.137706342550425 0.223944562181621 0.189469553919254 0.324056963467373
1 2.67027255410007 0.850522625333204 0.526622035937866 0.144745191423902 -1.31920593033648 0 0.0946385403789653 0.234051758291895 0.235577129192792 0.0722640352806900 5.42555199253122 0.139675462055607 0.221442258595876 0.188743904207177 0.322754039429188
1.06382978723404 2.60814909798572 0.840637572293547 0.529091583598674 0.153741015166071 -1.30365270143653 0 0.0934927702899721 0.234264900285285 0.227244637555784 0.0717124935786620 5.42640427462940 0.140591799492390 0.219474365281209 0.188568784713226 0.321703648826557
1.12359550561798 2.55343694632877 0.835403699661745 0.529272181384477 0.159777617332747 -1.29536708772951 0 0.0930852030209751 0.232023615367258 0.220449806657645 0.0701491971411274 5.41946802931943 0.141154010022802 0.218058984345668 0.188767732466215 0.321103459993533
1.19047619047619 2.49773300593265 0.829512031528763 0.529650585732474 0.165430940782849 -1.28928535841108 0 0.0937680189595533 0.232378098387697 0.218033005536975 0.0726652117337561 5.41016784801165 0.141631138495558 0.216615869875291 0.188701076560722 0.320296598122041
1.26582278481013 2.43781884724583 0.819401174829966 0.531395999529396 0.172809111214510 -1.28201980611010 0 0.0932912386561557 0.231062455203663 0.217618965778722 0.0756804589087512 5.39481294214211 0.142210468665833 0.214878578696235 0.188734369522711 0.319401445237502
1.33333333333333 2.37457931221065 0.806940621835840 0.530505061888970 0.181145840226252 -1.26500653476655 0 0.0928808645242125 0.228861582339021 0.215598237698816 0.0791030833456832 5.42290207743670 0.143109668987489 0.212653720754524 0.188595203276370 0.318229685930315
1.40845070422535 2.31184857770289 0.794294282790635 0.528865386875931 0.189618732194913 -1.25040792401231 0 0.0930325099500343 0.226392857135906 0.214452601538314 0.0831052304128341 5.43636835779885 0.143250802556560 0.209962937751439 0.188849708262603 0.316653501438376
1.49253731343284 2.25317652042637 0.782792662495419 0.520338860508533 0.198677166180589 -1.23880873647719 0 0.0944033457882101 0.223485173320326 0.212927005095662 0.0863248636789122 5.43592656578532 0.143097262098112 0.208233644765261 0.189313317897844 0.315717610477608
1.58730158730159 2.19242325676074 0.768330596718917 0.511001678062195 0.208987311840043 -1.22767558620483 0 0.0964409303342747 0.221176566649186 0.210228187299556 0.0879736592252349 5.42775765002479 0.142098164916949 0.206665404353414 0.190122895716330 0.314720818035425
1.69491525423729 2.13252141026874 0.753059553799640 0.503288089620650 0.218914420440457 -1.22467008362080 0 0.0985050567301254 0.222580794273341 0.207346599214287 0.0911993875930848 5.38928937691258 0.140875426285663 0.205758352112638 0.191171508804092 0.314211602226443
1.78571428571429 2.07942475394364 0.739205470943634 0.502036093681869 0.227184089427837 -1.22570352221520 0 0.0993474839501075 0.222183035893090 0.207355783004241 0.0936847717006886 5.36281450651231 0.140153477287391 0.203606483136903 0.192411692012974 0.313242488169183
1.88679245283019 2.02779850462564 0.726376190890401 0.498967433504031 0.235523531390321 -1.22988364953583 0 0.0992543085407831 0.219718789977752 0.204667966710654 0.0944318147653520 5.32448916905747 0.138889791141205 0.202611986244569 0.193589302051092 0.312759986126495
2 1.98274976771010 0.713847205659568 0.492576019222848 0.243460410235115 -1.24233675653874 0 0.0982523590836060 0.218213843281353 0.198442435540576 0.0941642829303047 5.26896508895249 0.136955854666769 0.200689363666195 0.194682324083019 0.311342791993990
""")
[docs]class LanzanoEtAl2020_Cluster(LanzanoEtAl2020_ref):
kind = "cluster"
COEFFS = CoeffsTable(sa_damping=5., table="""\
IMT a b1 b2 c1 c2 c3 s2 s3 s4 s5 s6 s7 s8 s9 Mref tau phi_S2S phi_0 sigma
pga 2.843 0.553 0.207 0.175 -1.461 -5.262E-03 0.741 0.633 0.716 0.466 0.300 0.509 0.959 0.406 3.813 0.154 0.120 0.210 0.287
0.040 2.935 0.436 0.138 0.222 -1.477 -6.022E-03 0.680 0.628 0.731 0.405 0.326 0.557 1.008 0.355 3.916 0.178 0.151 0.211 0.315
0.042 2.935 0.434 0.137 0.221 -1.472 -6.159E-03 0.686 0.638 0.750 0.413 0.331 0.575 1.024 0.362 3.918 0.179 0.152 0.211 0.316
0.045 2.935 0.430 0.123 0.224 -1.460 -6.450E-03 0.685 0.631 0.753 0.409 0.325 0.582 1.024 0.359 3.906 0.179 0.156 0.211 0.317
0.047 2.928 0.423 0.113 0.228 -1.454 -6.538E-03 0.686 0.641 0.769 0.416 0.329 0.596 1.040 0.369 3.903 0.179 0.161 0.211 0.320
0.050 2.929 0.423 0.117 0.227 -1.444 -6.721E-03 0.693 0.644 0.778 0.421 0.329 0.602 1.033 0.370 3.890 0.180 0.163 0.211 0.322
0.053 2.931 0.421 0.117 0.227 -1.439 -6.922E-03 0.697 0.646 0.788 0.425 0.331 0.609 1.037 0.374 3.856 0.182 0.163 0.212 0.323
0.056 2.946 0.430 0.118 0.223 -1.435 -7.030E-03 0.705 0.646 0.797 0.429 0.330 0.613 1.051 0.377 3.830 0.182 0.165 0.212 0.325
0.060 2.949 0.437 0.127 0.217 -1.432 -7.107E-03 0.705 0.646 0.805 0.434 0.328 0.619 1.070 0.383 3.779 0.182 0.168 0.213 0.327
0.063 2.963 0.451 0.135 0.209 -1.427 -7.208E-03 0.708 0.646 0.810 0.437 0.329 0.623 1.091 0.388 3.741 0.183 0.169 0.214 0.328
0.067 2.967 0.462 0.143 0.202 -1.412 -7.391E-03 0.715 0.639 0.808 0.441 0.332 0.626 1.101 0.393 3.710 0.182 0.167 0.214 0.327
0.071 2.969 0.476 0.155 0.193 -1.399 -7.481E-03 0.722 0.639 0.812 0.447 0.337 0.629 1.116 0.402 3.672 0.181 0.167 0.214 0.326
0.075 2.976 0.492 0.162 0.186 -1.390 -7.534E-03 0.733 0.639 0.816 0.451 0.340 0.631 1.119 0.409 3.629 0.180 0.166 0.215 0.326
0.080 2.975 0.505 0.165 0.180 -1.381 -7.553E-03 0.735 0.638 0.818 0.455 0.342 0.632 1.125 0.416 3.574 0.178 0.165 0.217 0.325
0.084 2.970 0.518 0.175 0.174 -1.371 -7.645E-03 0.737 0.639 0.819 0.458 0.344 0.629 1.133 0.424 3.497 0.177 0.162 0.217 0.324
0.089 2.977 0.531 0.187 0.167 -1.365 -7.600E-03 0.735 0.641 0.819 0.462 0.344 0.622 1.128 0.432 3.452 0.176 0.159 0.218 0.322
0.095 2.990 0.543 0.197 0.161 -1.365 -7.465E-03 0.735 0.645 0.821 0.466 0.344 0.614 1.116 0.442 3.423 0.174 0.157 0.219 0.321
0.100 3.001 0.556 0.205 0.155 -1.362 -7.323E-03 0.740 0.645 0.815 0.469 0.345 0.603 1.093 0.448 3.410 0.173 0.153 0.220 0.319
0.106 3.013 0.570 0.218 0.149 -1.355 -7.248E-03 0.740 0.644 0.804 0.470 0.343 0.589 1.071 0.450 3.391 0.171 0.149 0.221 0.317
0.112 3.028 0.588 0.231 0.140 -1.349 -7.134E-03 0.742 0.650 0.795 0.473 0.340 0.578 1.052 0.453 3.368 0.169 0.146 0.222 0.315
0.119 3.033 0.603 0.237 0.134 -1.342 -7.025E-03 0.744 0.656 0.789 0.479 0.338 0.567 1.042 0.455 3.340 0.167 0.144 0.223 0.313
0.126 3.042 0.620 0.247 0.127 -1.337 -6.868E-03 0.743 0.663 0.783 0.489 0.337 0.557 1.032 0.459 3.314 0.165 0.142 0.223 0.312
0.134 3.050 0.631 0.256 0.123 -1.337 -6.663E-03 0.741 0.667 0.776 0.498 0.335 0.542 1.025 0.461 3.310 0.163 0.140 0.223 0.310
0.142 3.058 0.644 0.265 0.120 -1.336 -6.471E-03 0.747 0.671 0.766 0.507 0.333 0.525 1.008 0.464 3.317 0.161 0.138 0.224 0.308
0.150 3.081 0.663 0.276 0.113 -1.341 -6.222E-03 0.766 0.673 0.753 0.512 0.329 0.507 0.975 0.466 3.327 0.159 0.136 0.224 0.307
0.159 3.099 0.678 0.292 0.108 -1.345 -5.930E-03 0.792 0.670 0.738 0.513 0.326 0.489 0.933 0.467 3.365 0.156 0.135 0.224 0.305
0.168 3.113 0.694 0.308 0.101 -1.345 -5.656E-03 0.813 0.666 0.719 0.511 0.322 0.471 0.899 0.467 3.408 0.154 0.132 0.224 0.302
0.178 3.120 0.705 0.320 0.097 -1.347 -5.393E-03 0.826 0.666 0.697 0.512 0.319 0.453 0.864 0.467 3.449 0.152 0.129 0.223 0.300
0.189 3.128 0.715 0.332 0.094 -1.352 -5.156E-03 0.827 0.665 0.678 0.511 0.314 0.432 0.825 0.466 3.470 0.149 0.127 0.223 0.297
0.200 3.137 0.722 0.336 0.095 -1.362 -4.867E-03 0.818 0.662 0.658 0.514 0.306 0.413 0.776 0.465 3.521 0.147 0.125 0.223 0.295
0.212 3.154 0.733 0.346 0.092 -1.372 -4.582E-03 0.805 0.661 0.638 0.513 0.298 0.394 0.736 0.464 3.578 0.145 0.124 0.222 0.293
0.224 3.170 0.745 0.359 0.090 -1.380 -4.281E-03 0.795 0.662 0.615 0.513 0.290 0.372 0.697 0.459 3.659 0.143 0.123 0.221 0.291
0.238 3.178 0.753 0.371 0.089 -1.387 -3.943E-03 0.790 0.660 0.590 0.515 0.281 0.347 0.660 0.455 3.760 0.141 0.123 0.220 0.289
0.252 3.197 0.768 0.386 0.084 -1.400 -3.595E-03 0.789 0.656 0.569 0.522 0.275 0.324 0.625 0.452 3.856 0.138 0.121 0.219 0.286
0.267 3.213 0.782 0.399 0.080 -1.413 -3.277E-03 0.784 0.654 0.549 0.529 0.266 0.302 0.582 0.448 3.938 0.135 0.119 0.218 0.283
0.282 3.225 0.792 0.404 0.080 -1.428 -2.949E-03 0.776 0.657 0.530 0.537 0.261 0.280 0.560 0.445 4.030 0.134 0.116 0.216 0.280
0.299 3.223 0.797 0.412 0.082 -1.438 -2.602E-03 0.769 0.662 0.512 0.539 0.253 0.260 0.545 0.440 4.121 0.133 0.114 0.214 0.277
0.317 3.225 0.807 0.424 0.081 -1.447 -2.253E-03 0.766 0.668 0.490 0.543 0.243 0.238 0.527 0.432 4.218 0.132 0.114 0.212 0.275
0.336 3.224 0.812 0.430 0.082 -1.456 -1.938E-03 0.770 0.667 0.466 0.547 0.231 0.215 0.505 0.423 4.303 0.131 0.113 0.211 0.272
0.356 3.224 0.818 0.443 0.083 -1.469 -1.628E-03 0.776 0.660 0.442 0.551 0.218 0.193 0.490 0.416 4.372 0.130 0.111 0.209 0.270
0.377 3.226 0.822 0.451 0.085 -1.488 -1.237E-03 0.787 0.653 0.421 0.557 0.203 0.172 0.472 0.412 4.423 0.130 0.111 0.207 0.268
0.398 3.232 0.826 0.455 0.088 -1.507 -8.046E-04 0.802 0.641 0.401 0.563 0.189 0.150 0.443 0.405 4.525 0.130 0.111 0.204 0.266
0.422 3.230 0.832 0.455 0.089 -1.515 -4.634E-04 0.814 0.627 0.381 0.569 0.179 0.131 0.420 0.401 4.678 0.130 0.111 0.202 0.265
0.448 3.223 0.842 0.462 0.089 -1.523 -2.121E-04 0.816 0.612 0.362 0.572 0.171 0.115 0.401 0.398 4.764 0.130 0.112 0.200 0.264
0.474 3.201 0.848 0.469 0.090 -1.525 0 0.815 0.597 0.345 0.576 0.165 0.101 0.383 0.395 4.836 0.130 0.114 0.199 0.263
0.503 3.159 0.850 0.479 0.092 -1.512 0 0.806 0.583 0.329 0.582 0.159 0.088 0.360 0.389 4.872 0.130 0.114 0.197 0.262
0.532 3.112 0.850 0.483 0.096 -1.496 0 0.798 0.568 0.314 0.586 0.154 0.077 0.340 0.383 4.923 0.131 0.113 0.194 0.260
0.565 3.074 0.858 0.490 0.096 -1.484 0 0.789 0.553 0.300 0.590 0.150 0.066 0.328 0.378 4.974 0.132 0.112 0.193 0.259
0.599 3.038 0.865 0.498 0.097 -1.469 0 0.777 0.538 0.286 0.589 0.145 0.052 0.313 0.368 5.041 0.132 0.110 0.191 0.257
0.633 2.995 0.868 0.507 0.100 -1.451 0 0.768 0.524 0.274 0.591 0.139 0.039 0.290 0.357 5.117 0.132 0.108 0.189 0.255
0.671 2.953 0.874 0.518 0.101 -1.435 0 0.759 0.509 0.261 0.597 0.135 0.028 0.268 0.348 5.187 0.133 0.108 0.188 0.254
0.709 2.910 0.880 0.523 0.103 -1.420 0 0.745 0.498 0.247 0.604 0.130 0.019 0.252 0.340 5.248 0.134 0.108 0.187 0.254
0.752 2.866 0.887 0.526 0.104 -1.404 0 0.725 0.487 0.236 0.609 0.124 0.011 0.239 0.333 5.314 0.135 0.107 0.186 0.254
0.794 2.811 0.888 0.525 0.108 -1.380 0 0.701 0.475 0.226 0.610 0.118 0.002 0.228 0.327 5.380 0.136 0.107 0.185 0.254
0.840 2.758 0.889 0.523 0.113 -1.363 0 0.680 0.466 0.216 0.613 0.112 -0.005 0.220 0.321 5.408 0.138 0.108 0.184 0.254
0.893 2.705 0.888 0.520 0.118 -1.345 0 0.663 0.457 0.207 0.614 0.106 -0.011 0.209 0.314 5.433 0.139 0.108 0.183 0.254
0.943 2.640 0.880 0.517 0.128 -1.322 0 0.645 0.447 0.202 0.611 0.103 -0.013 0.200 0.311 5.443 0.140 0.108 0.183 0.255
1.000 2.579 0.867 0.520 0.138 -1.306 0 0.630 0.435 0.197 0.604 0.098 -0.016 0.192 0.305 5.426 0.142 0.108 0.182 0.255
1.064 2.519 0.857 0.522 0.147 -1.290 0 0.616 0.426 0.193 0.597 0.094 -0.018 0.183 0.299 5.426 0.143 0.108 0.182 0.256
1.124 2.467 0.853 0.523 0.153 -1.283 0 0.602 0.419 0.191 0.589 0.093 -0.019 0.180 0.295 5.419 0.144 0.109 0.182 0.256
1.190 2.415 0.848 0.523 0.158 -1.278 0 0.591 0.411 0.188 0.582 0.090 -0.019 0.180 0.291 5.410 0.144 0.109 0.182 0.257
1.266 2.360 0.840 0.525 0.164 -1.273 0 0.580 0.405 0.186 0.573 0.088 -0.018 0.180 0.287 5.395 0.145 0.109 0.182 0.257
1.333 2.297 0.828 0.523 0.172 -1.256 0 0.569 0.399 0.184 0.565 0.087 -0.016 0.180 0.284 5.423 0.146 0.109 0.182 0.258
1.408 2.237 0.814 0.520 0.181 -1.241 0 0.559 0.395 0.183 0.555 0.086 -0.015 0.184 0.279 5.436 0.146 0.109 0.182 0.258
1.493 2.180 0.803 0.511 0.190 -1.230 0 0.552 0.392 0.184 0.545 0.086 -0.013 0.188 0.275 5.436 0.146 0.109 0.183 0.258
1.587 2.119 0.788 0.502 0.201 -1.219 0 0.545 0.393 0.191 0.536 0.089 -0.008 0.196 0.275 5.428 0.145 0.108 0.184 0.257
1.695 2.057 0.772 0.496 0.212 -1.215 0 0.540 0.393 0.200 0.531 0.092 -0.002 0.210 0.275 5.389 0.143 0.106 0.185 0.257
1.786 2.002 0.758 0.495 0.220 -1.217 0 0.540 0.394 0.210 0.528 0.096 0.005 0.227 0.276 5.363 0.143 0.105 0.186 0.257
1.887 1.947 0.745 0.492 0.229 -1.221 0 0.546 0.397 0.219 0.524 0.099 0.011 0.243 0.277 5.324 0.141 0.104 0.187 0.257
2.000 1.899 0.732 0.484 0.237 -1.233 0 0.555 0.400 0.228 0.517 0.100 0.018 0.258 0.277 5.269 0.139 0.102 0.188 0.255
""")