Source code for openquake.hazardlib.gsim.cauzzi_2014

# coding: utf-8
# The Hazard Library
# Copyright (C) 2014, GEM Foundation
#
# This program 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.
#
# This program 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 this program.  If not, see <http://www.gnu.org/licenses/>.
"""
Module exports :class:`CauzziEtAl2014`,
               :class:`CauzziEtAl2014NoSOF`,
               :class:`CauzziEtAl2014FixedVs30`,
               :class:`CauzziEtAl2014FixedVs30NoSOF`,
               :class:`CauzziEtAl2014Eurocode8`,
               :class:`CauzziEtAl2014Eurocode8NoSOF`,
"""
from __future__ import division

import numpy as np
# standard acceleration of gravity in m/s**2
from scipy.constants import g

from openquake.hazardlib.gsim.base import CoeffsTable, GMPE
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, PGV, SA


[docs]class CauzziEtAl2014(GMPE): """ Implements GMPE developed by Carlo Cauzzi et al (2014) and published as C.Cauzzi, E. Faccioli, M. Vanini and A. Bianchini (2014) "Updated predictive equations for broadband (0.0 - 10.0 s) horizontal response spectra and peak ground motions, based on a global dataset of digital acceleration records", Bulletin of Earthquake Engineering, In Press Spectral acceleration (SA) values are obtained from displacement response spectrum (DSR) values (as provided by the original equations) using the following formula :: SA = DSR * (2 * π / T) ** 2 """ #: Supported tectonic region type is active shallow crust, DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.ACTIVE_SHALLOW_CRUST #: Supported intensity measure types are spectral acceleration, peak #: ground acceleration and peak ground velocity. #: The original paper provides coefficients for PGA and PGV, while SA #: is obtained from displacement response spectrum values. #: Coefficients for PGA are taken from the SA (0.01 s) spectral #: acceleration, as indicated in Page 11 (at the time of writing) #: of Cauzzi et al. (2014) DEFINED_FOR_INTENSITY_MEASURE_TYPES = set([ PGA, PGV, SA ]) #: Supported intensity measure component is the geometric mean of two #: horizontal components #: :attr:`~openquake.hazardlib.const.IMC.AVERAGE_HORIZONTAL`, 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 = set([ const.StdDev.INTER_EVENT, const.StdDev.INTRA_EVENT, const.StdDev.TOTAL ]) #: Required site parameter is only Vs30 REQUIRES_SITES_PARAMETERS = set(('vs30', )) #: Required rupture parameters are magnitude and rake REQUIRES_RUPTURE_PARAMETERS = set(('rake', 'mag')) #: Required distance measure is Rrup, REQUIRES_DISTANCES = set(('rrup', ))
[docs] def get_mean_and_stddevs(self, sites, rup, dists, imt, stddev_types): """ See :meth:`superclass method <.base.GroundShakingIntensityModel.get_mean_and_stddevs>` for spec of input and result values. """ # extract dictionaries of coefficients specific to required # intensity measure type C = self.COEFFS[imt] mean = self._compute_mean(C, rup, dists, sites, imt) stddevs = self._get_stddevs(C, stddev_types, sites.vs30.shape[0]) return mean, stddevs
def _compute_mean(self, C, rup, dists, sites, imt): """ Returns the mean ground motion acceleration and velocity """ mean = (self._get_magnitude_scaling_term(C, rup.mag) + self._get_distance_scaling_term(C, rup.mag, dists.rrup) + self._get_style_of_faulting_term(C, rup.rake) + self._get_site_amplification_term(C, sites.vs30)) # convert from cm/s**2 to g for SA and from cm/s**2 to g for PGA (PGV # is already in cm/s) and also convert from base 10 to base e. if isinstance(imt, PGA): mean = np.log((10 ** mean) * ((2 * np.pi / 0.01) ** 2) * 1e-2 / g) elif isinstance(imt, SA): mean = np.log((10 ** mean) * ((2 * np.pi / imt.period) ** 2) * 1e-2 / g) else: mean = np.log(10 ** mean) return mean def _get_magnitude_scaling_term(self, C, mag): """ Returns the magnitude term """ return C["c1"] + (C["m1"] * mag) + (C["m2"] * (mag ** 2.)) def _get_distance_scaling_term(self, C, mag, rrup): """ Returns the distance scaling parameter """ return (C["r1"] + C["r2"] * mag) * np.log10(rrup + C["r3"]) def _get_style_of_faulting_term(self, C, rake): """ Returns the style of faulting term. Cauzzi et al. determind SOF from the plunge of the B-, T- and P-axes. For consistency with existing GMPEs the Wells & Coppersmith model is preferred """ if rake > -150.0 and rake <= -30.0: return C['fN'] elif rake > 30.0 and rake <= 150.0: return C['fR'] else: return C['fSS'] def _get_site_amplification_term(self, C, vs30): """ Returns the site amplification scaling term assuming period dependent reference vs30 """ return C["bV"] * np.log10(vs30 / C["VA"]) def _get_stddevs(self, C, stddev_types, num_sites): """ Return total standard deviation. """ stddevs = [] for stddev_type in stddev_types: assert stddev_type in self.DEFINED_FOR_STANDARD_DEVIATION_TYPES if stddev_type == const.StdDev.TOTAL: stddevs.append(np.log(10.0 ** C['sM']) + np.zeros(num_sites)) elif stddev_type == const.StdDev.INTRA_EVENT: stddevs.append(np.log(10.0 ** C['f']) + np.zeros(num_sites)) elif stddev_type == const.StdDev.INTER_EVENT: stddevs.append(np.log(10.0 ** C["tM"]) + np.zeros(num_sites)) return stddevs #: Coefficient table constructed from the electronic suplements of the #: original paper. COEFFS = CoeffsTable(sa_damping=5, table="""\ imt c1 m1 m2 r1 r2 r3 sB sC sD bV bV800 VA fN fR fSS f t s tM sM pgv 0.4422159946365680 0.5482239378818140 -0.0319470258028777 -2.8457788432226700 0.2406737047414070 6.51696666287798000 0.1919277313361110 0.3706196443240230 0.4978018189249720 -0.6909580227999990 -0.7596804404000000 883.9565406477700000 -0.1433313027208760 0.0184633160924233 0.0049897699311183 0.2398935826956730 0.2213004346208430 0.3263783286033860 0.2149404298227920 0.3220998664588330 pga -2.1961743955816300 0.5237450060972680 -0.0609447663010394 -3.8019035608295600 0.3550808121411740 11.6415555876916000 0.2106985279596590 0.2825106921224770 0.2828846140789600 -0.3100704816000000 -0.7024376883999990 2319.1859784562300000 -0.0241122431339601 0.0724633666482452 -0.0563165754085399 0.2589229720745850 0.2214506097241730 0.3407073201666570 0.2162221044760760 0.3373323345485870 0.0100 -2.1961743955816300 0.5237450060972680 -0.0609447663010394 -3.8019035608295600 0.3550808121411740 11.6415555876916000 0.2106985279596590 0.2825106921224770 0.2828846140789600 -0.3100704816000000 -0.7024376883999990 2319.1859784562300000 -0.0241122431339601 0.0724633666482452 -0.0563165754085399 0.2589229720745850 0.2214506097241730 0.3407073201666570 0.2162221044760760 0.3373323345485870 0.0200 -1.8195694621090300 0.6453679917780000 -0.0718828302259198 -3.8644883929436800 0.3593203519694770 12.1350058517031000 0.1992376827391620 0.2657559899035650 0.2597832779404480 -0.2838417797000000 -0.6697416278000000 2528.8050326671200000 -0.0272261357768130 0.0770853044555010 -0.0589959439154124 0.2592700212170700 0.2266408762153660 0.3443646768667910 0.2208310066257620 0.3405690493706790 0.0300 -1.2943572408433100 0.6982707545157320 -0.0795637931948720 -4.0443482492067200 0.3765163250150630 13.3154555674385000 0.1781152657707780 0.2315977870956060 0.2152815315755380 -0.2288226422000000 -0.6191416576999990 3228.4186287294800000 -0.0333340581611655 0.0835931466396944 -0.0620510202333671 0.2610359421517940 0.2329378875769420 0.3498568601069340 0.2262184621898820 0.3454193910750090 0.0400 -0.6931089735055480 0.7088746113257160 -0.0846090922165347 -4.2569567103123300 0.3973949524463510 14.9701297686778000 0.1812772493016900 0.2182921854255120 0.1831111109272540 -0.1573206416000000 -0.6076234879999990 8228.7311143995100000 -0.0383834128731151 0.0898513499539263 -0.0655039981465477 0.2655226521597100 0.2370812514738440 0.3559631983932190 0.2293557959689310 0.3508651592199890 0.0500 -0.1738965355678180 0.7038280147755070 -0.0875507720994941 -4.4155335972196800 0.4140306595178590 15.9634085011888000 0.1678531023791990 0.1863342553869610 0.1392855607298930 -0.1000000000000000 -0.5639501998999990 30552.3271673005000000 -0.0389955855635790 0.0960304396771990 -0.0706779148995298 0.2702569776994650 0.2423624069839720 0.3630129065395790 0.2337736891265200 0.3573359367920780 0.0600 0.2069820440679000 0.6906315133559440 -0.0888413835088005 -4.4921203206778700 0.4232967413275050 16.1995006962009000 0.1627597795917690 0.1676876852934890 0.1025963949386600 -0.1000000000000000 -0.5367391490999990 23999.0695317075000000 -0.0490906833424132 0.1014786096166360 -0.0714347704520967 0.2750551534173430 0.2452399150958750 0.3685077385587310 0.2354962432697930 0.3620964208820960 0.0700 0.5608903992017920 0.6756111304642140 -0.0888630574702343 -4.5440277265296000 0.4259196396385800 17.3789888842896000 0.1654527289615880 0.1595821580576020 0.0862878935870393 -0.1000000000000000 -0.5266083805000000 20327.5550092185000000 -0.0514168691984178 0.1046974117607580 -0.0734422969499682 0.2799503455014960 0.2489917590200640 0.3746586339673930 0.2388079459053130 0.3679693342846950 0.0800 0.7587338187758670 0.6654944435687730 -0.0879358050549968 -4.5316608540212100 0.4201856029560480 18.1449146140712000 0.2082896980661270 0.1963833825796230 0.1173006295737050 -0.1000000000000000 -0.6008677443000000 37180.0713615876000000 -0.0435691980080517 0.1025092491607880 -0.0752680566199420 0.2859658855181830 0.2463439179170010 0.3774411392189470 0.2367345282757910 0.3712407905364930 0.0900 0.7846617840834190 0.6646697953340180 -0.0863250891406979 -4.4431082348763900 0.4096459868804770 17.7940601032257000 0.2058086667038910 0.2005503414374950 0.1239225551215690 -0.1000000000000000 -0.5999306542000000 36947.8787712051000000 -0.0386068513354472 0.1002656772083840 -0.0754602300716578 0.2879669013021380 0.2455100824949440 0.3784179393900740 0.2363877833587920 0.3725642499849370 0.1000 0.6759351202982480 0.6701555114371590 -0.0842487133409999 -4.2989668796524600 0.3950150942756780 16.9499399186483000 0.1982256814552770 0.2004113577343430 0.1312995606293180 -0.1000000000000000 -0.5923724273999990 36597.5600451842000000 -0.0282989830364419 0.1005680531402610 -0.0799511338270659 0.2864871213393960 0.2433368095307030 0.3758825262843640 0.2343281863791130 0.3701142656330040 0.1500 0.4060442725277190 0.6331119438041180 -0.0719075361587948 -3.8697055665013900 0.3527209416036150 13.7553799942078000 0.2489114740764020 0.3018776519585660 0.2531944049628660 -0.2273218226000000 -0.7549461000999990 5440.3520640067600000 -0.0299967463616727 0.0962871690940792 -0.0762552422410023 0.2888548904585920 0.2369264158171150 0.3735923905191180 0.2282717557908330 0.3681645586333300 0.2000 -0.0964722849285886 0.6394154973768270 -0.0625617809919999 -3.4154331729506900 0.3010051287415760 11.4534631595437000 0.2821393446741870 0.4058929876762180 0.3690896542349010 -0.4384492105000000 -0.8944358918000000 1898.2857019816500000 -0.0036711341998802 0.0693398950336865 -0.0633905167734821 0.2932537473600140 0.2159716768759310 0.3641998428792800 0.2112464445303770 0.3614177924057090 0.2500 -0.3647383426795800 0.6464747603497000 -0.0578247658996581 -3.1964135977713500 0.2821632069794590 9.3622805399371000 0.2473181283189340 0.4087140621326480 0.4091275508533770 -0.5647295578000000 -0.8869576743000000 1202.6438872651600000 -0.0230481052501677 0.0635985592512166 -0.0517929263524518 0.2957833156803400 0.2005738694875840 0.3573760581741280 0.1960766398604580 0.3548715521619380 0.3000 -0.5066096034428090 0.6651087078884250 -0.0560927957029996 -3.0938863341046000 0.2735167424921670 8.2935173490201800 0.2096502844403170 0.4001251672249500 0.4335528490826920 -0.6554113151999990 -0.8545657526000000 967.9255537188150000 -0.0179995073864090 0.0508746350031907 -0.0417662944939413 0.2955895319193470 0.1990806049250280 0.3563793745962490 0.1961542457250350 0.3547529555849480 0.3500 -0.6649758303983760 0.6953229230929930 -0.0557864397714597 -3.0349384847947700 0.2671679125064100 7.6913250281925500 0.2023161205394590 0.4213786462865890 0.4808046291639440 -0.7428322161999990 -0.8762700561999990 873.3816688525000000 -0.0055734214033697 0.0466580942068334 -0.0422068301406186 0.2982216260863880 0.2050086373684360 0.3618904249372630 0.2027190392808950 0.3605983182886170 0.4000 -1.0245292872263400 0.7477063980675440 -0.0562692503039990 -2.8852884017037800 0.2536783288165920 6.2119923952061800 0.1858234788604210 0.4107333337437640 0.5209946684961200 -0.8100884283999990 -0.8530330874999990 794.5532205269830000 0.0004098177393169 0.0403886753646120 -0.0384916849988285 0.2987789982376510 0.2068578206071190 0.3633992951757350 0.2051740007093480 0.3624434581489560 0.4500 -1.1767192815454400 0.7807854544753780 -0.0576268771260726 -2.8427465328831800 0.2513716341911510 5.6484108448966700 0.1887026468902940 0.4164505033363750 0.5807879191359790 -0.8751821459999990 -0.8642899934000000 759.8399393759310000 0.0142197714791134 0.0307891929593598 -0.0345417763728089 0.2980455169408630 0.2077050898342350 0.3632802423909040 0.2066635500615080 0.3626857497787470 0.5000 -1.3699721103726600 0.8260335951960020 -0.0600971406249981 -2.7937608332104700 0.2483537730430820 5.2021129207912500 0.1912072326769610 0.4163804535941900 0.6163803445766500 -0.9166134093000000 -0.8761241065999990 747.1063408592170000 0.0086757291814616 0.0281315838618958 -0.0297855596041406 0.2988253255683690 0.2171380197001870 0.3693852931565640 0.2163378482566530 0.3689154913924880 0.5500 -1.5532301153734600 0.8841219121467910 -0.0636142514828666 -2.7774746094333300 0.2461269298729300 5.2748945458277300 0.1922552801830820 0.4208041398937580 0.6473190646386160 -0.9489890487000000 -0.8873310084000000 734.2611220214530000 0.0079885694661098 0.0262605964386996 -0.0276217316684702 0.2988468611615510 0.2262163167887810 0.3748109769038170 0.2255424149235550 0.3744046305211260 0.6000 -1.7510694008742700 0.9456512032228760 -0.0676680143359787 -2.7659990406711700 0.2459840593699260 5.2326502260400600 0.1856646121052040 0.4151367349613850 0.6685439427938120 -0.9849329436000000 -0.8818026484000000 707.0886231073480000 0.0074237017603430 0.0214264218419423 -0.0228007233673257 0.2969715874045810 0.2312084370851160 0.3763634747221610 0.2307626428710610 0.3760897779393020 0.6500 -1.8812203651728900 0.9989155250987470 -0.0714815223937251 -2.7822077114825400 0.2481313717858710 5.1530276954427200 0.1694624830668270 0.4049886708458540 0.6814504542040380 -1.0153146583999900 -0.8594841094999990 681.4614028632290000 0.0196350915362537 0.0150526924795911 -0.0215740715394286 0.2954635012276740 0.2351953967474790 0.3776447473604260 0.2348427194465870 0.3774252024372300 0.7000 -2.0011372675364000 1.0414823426186300 -0.0743785413870095 -2.8015816681340200 0.2515222494019510 5.1214455547007300 0.1675787426166320 0.4084745747915290 0.6970629308604510 -1.0382766045000000 -0.8628249864999990 673.9691869217830000 0.0259814084850892 0.0078403558745567 -0.0173402456257839 0.2960570452959170 0.2315424218284400 0.3758479309182480 0.2312259898442240 0.3756530745898280 0.7500 -2.0314990724971100 1.0612712694853100 -0.0761444939880500 -2.8411938303340100 0.2583666046875160 5.0513970104537200 0.1680957619203300 0.4032102189640850 0.7080554315362520 -1.0313556675000000 -0.8579717241000000 675.6979435204260000 0.0239285639574445 0.0074392636316948 -0.0161682493304947 0.2951575001067500 0.2297001913951280 0.3740055184034380 0.2294277631124650 0.3738382649703680 0.8000 -2.0713348083169800 1.0808387377773600 -0.0771826900479910 -2.8493436285427500 0.2594995074375930 5.0928181363661800 0.1544249375549970 0.3844974525043310 0.7007764887596430 -1.0231311698000000 -0.8263667377000000 657.2061757191460000 0.0214029074524496 0.0059539323088165 -0.0138202326157295 0.2924385987558100 0.2300565388177360 0.3720837877347760 0.2298456978854890 0.3719534633240150 0.8500 -2.1262894469442700 1.1018607109753000 -0.0783302036376399 -2.8588995970631400 0.2606572708674180 5.0935967372020100 0.1504639323164540 0.3792467896733620 0.6969408900855260 -1.0144829571000000 -0.8137829287000000 653.8125318549530000 0.0211071089179620 0.0019008327668466 -0.0099488373254348 0.2928306239015010 0.2309607956817200 0.3729512882890680 0.2307840014488140 0.3728418292242290 0.9000 -2.2073925801959200 1.1318798449661200 -0.0803255749490028 -2.8708066901482300 0.2616586646777760 5.1233267618852900 0.1544558393365580 0.3837285215652260 0.7012236860739990 -1.0093585997000000 -0.8210169819999990 662.2439869415740000 0.0289033402423253 -0.0019777781552522 -0.0093910224696682 0.2946269771092460 0.2326264459950670 0.3753932857908200 0.2322986984058910 0.3751902729570740 0.9500 -2.3618782822744800 1.1773372149747300 -0.0831133136219246 -2.8589190798699000 0.2591714809709110 5.1245152218844200 0.1606585521223750 0.3919467205487660 0.7031862226528190 -1.0029855543999900 -0.8356389507999990 676.6634212470730000 0.0322919482685976 -0.0043031378218605 -0.0085106024606202 0.2959927052620510 0.2310434003198280 0.3754899924095130 0.2306211043763800 0.3752302964209160 1.0000 -2.4878726728670000 1.2134822214871800 -0.0854280000001306 -2.8543804213112900 0.2593699405690310 4.9780849514747200 0.1576721986608320 0.3903326170865970 0.6932630179184690 -0.9891875651000000 -0.8248044635000000 678.6122701764790000 0.0344742509193550 -0.0054363568289916 -0.0082972422158440 0.2963176996743180 0.2307500744544380 0.3755659409491340 0.2302608656402460 0.3752655664801600 1.0500 -2.6077715643895400 1.2585971052394800 -0.0891555463418651 -2.8698128821985400 0.2620344315381600 5.0106995281376200 0.1568834769642220 0.3926119120922580 0.6859752493739490 -0.9787207632000000 -0.8182870278999990 683.9014863863440000 0.0342851595332001 -0.0084217050339768 -0.0054727622220529 0.2956778853817590 0.2309807392831370 0.3752032966587760 0.2304571871861140 0.3748812172269560 1.1000 -2.6283843967759800 1.2724304040636900 -0.0902954540190852 -2.8957258830060600 0.2658130031005880 5.0680549323866900 0.1552026620595820 0.3911807820188090 0.6792311574060850 -0.9656582968000000 -0.8078533354000000 685.9310034655940000 0.0343732130091374 -0.0110760496482985 -0.0031534311291972 0.2949665179443070 0.2350632307671690 0.3771736591636390 0.2344939964929200 0.3768191623304360 1.1500 -2.5913200736133200 1.2648135583775700 -0.0894105129027280 -2.9212440688281100 0.2694982170772390 5.1323413380794200 0.1499754504722890 0.3853429932664650 0.6679284297037930 -0.9508205297999990 -0.7903242998999990 687.3803208241630000 0.0342476309187609 -0.0123918851956884 -0.0019473464552664 0.2934734744640030 0.2363129145260130 0.3767896943730720 0.2357190478967070 0.3764175205211680 1.2000 -2.5460330051693400 1.2537233711043700 -0.0881090370310901 -2.9336359839233800 0.2706921021887200 5.2621167586743000 0.1467021411264490 0.3820119568800980 0.6548859781812440 -0.9329132548999990 -0.7727555701999990 688.2770061287130000 0.0394944822294414 -0.0140707722227885 -0.0025214068554055 0.2920371732072930 0.2373279847374510 0.3763114174117580 0.2365438371208830 0.3758173724228000 1.2500 -2.5558035297311500 1.2598048987799600 -0.0884048124815144 -2.9436386794084200 0.2721280979853120 5.3334214341034300 0.1450122336761420 0.3799349477612370 0.6449782534536990 -0.9205079916999990 -0.7607625045000000 685.7605219483220000 0.0420775458086862 -0.0148688650392528 -0.0028152587595069 0.2920346061128800 0.2375158432220640 0.3764279306175260 0.2366264100045000 0.3758673556976230 1.3000 -2.5821309228717900 1.2734202709970100 -0.0893057028854706 -2.9577833877387700 0.2735012756348860 5.4399529144861700 0.1430110207548210 0.3781448011175160 0.6368116110983800 -0.9099645055999990 -0.7537088990000000 685.3520122824150000 0.0426056513658025 -0.0158075818461505 -0.0021521561066715 0.2923782327275850 0.2374655849380110 0.3766628930527370 0.2365287430472170 0.3760729680000980 1.3500 -2.6238708063339100 1.2893198984461000 -0.0902480861259522 -2.9650343169163600 0.2736430339455760 5.5472867869600800 0.1440167428698510 0.3830721447314410 0.6334483811371680 -0.9050477560999990 -0.7571984443000000 691.1287292276600000 0.0439642557930039 -0.0173565783718463 -0.0012399284693199 0.2928827158501950 0.2370525657940650 0.3767946445921650 0.2360197987997750 0.3761457572129090 1.4000 -2.6897548934787500 1.3189732552765200 -0.0924700115191799 -2.9840040831474000 0.2753069977851920 5.7009743793087200 0.1400371608701880 0.3803881959613850 0.6237737813471980 -0.8974194347999990 -0.7469922270000000 689.8483314919400000 0.0427099254056566 -0.0177215105903934 -0.0003940284894682 0.2930820893807540 0.2366013546491680 0.3766660485597420 0.2355942585420310 0.3760342614360530 1.4500 -2.7763781872992100 1.3562398947265200 -0.0951541121376767 -2.9979152445537700 0.2755039161660600 5.9406969906893200 0.1348384928791460 0.3751982848031280 0.6154277454749500 -0.8917076486999990 -0.7346528961999990 684.4934409269750000 0.0388657870247459 -0.0169632822391633 0.0004576792093976 0.2933475512926050 0.2355185949469470 0.3761938255941360 0.2346553895484990 0.3756540132802060 1.5000 -2.8239409130152600 1.3703307095684200 -0.0953411922785113 -2.9872080730216500 0.2723397555246710 6.0993032129832700 0.1279790593354570 0.3695852395116420 0.6045492601465070 -0.8858640115000000 -0.7202632058000000 676.4648003906380000 0.0322281438599955 -0.0153728103886031 0.0016529590876036 0.2939574090335400 0.2337014624547160 0.3755360593593970 0.2330673335328770 0.3751417602531570 1.5500 -2.9058807855376000 1.3972193664435300 -0.0965528808676893 -2.9789874939584600 0.2690506859058310 6.2819150839882200 0.1228703602752770 0.3636375877700690 0.5955044277942730 -0.8758306752000000 -0.7085584153999990 670.9736962567340000 0.0240867982150792 -0.0127750113990195 0.0024527440869498 0.2938025497825890 0.2327236235129170 0.3748069145569930 0.2323370172741810 0.3745669871393020 1.6000 -2.9697452419663000 1.4242508352711900 -0.0985065989181234 -2.9934555813201100 0.2702162526361470 6.4510931722959500 0.1206729389832730 0.3580844544096510 0.5875273890730360 -0.8620284101999990 -0.6974626159000000 669.3314773407340000 0.0192500261080120 -0.0105936664057168 0.0023400276834960 0.2936737017486110 0.2314612069701580 0.3739231651433410 0.2312046955904600 0.3737644369944920 1.6500 -3.0285947165296400 1.4530351338993800 -0.1008689095101130 -3.0132293343275000 0.2723711234336250 6.6565535109269300 0.1162008798427380 0.3511458083516420 0.5750237701071880 -0.8462288153000000 -0.6816303814999990 663.6394066644560000 0.0143926805023867 -0.0091046518034926 0.0028626080527576 0.2929173415026190 0.2298956351567980 0.3723608089167130 0.2297314730222000 0.3722594775823870 1.7000 -3.1224529274310200 1.4897100201437400 -0.1036264897313260 -3.0220673024548200 0.2725628585490270 6.8649953588168000 0.1142843931807090 0.3484572719214820 0.5656123541095750 -0.8351013937000000 -0.6738748786999990 660.3768967697260000 0.0067847660806980 -0.0073685004154968 0.0042018087093833 0.2918984215972050 0.2293621923535740 0.3712299877598490 0.2292906358752220 0.3711857812888360 1.7500 -3.1998736979744500 1.5236815285884400 -0.1062397204542160 -3.0323161841880300 0.2722705836451780 7.1493411712552800 0.1141550287191680 0.3478519469698870 0.5608204754496630 -0.8288853502999990 -0.6734694895999990 659.8985850058170000 -0.0007037557828340 -0.0052871357705642 0.0051757968361060 0.2915075344953930 0.2278550539152940 0.3699926597411420 0.2278274383496330 0.3699756537024280 1.8000 -3.2607744218824900 1.5512981994209700 -0.1081734151231750 -3.0343691916594900 0.2705121679164970 7.4776984114104700 0.1133702591656230 0.3447622926767550 0.5549524280769710 -0.8208158142999990 -0.6689213870000000 657.3126819232200000 -0.0061777839005103 -0.0038681775835265 0.0059708804220087 0.2913477760316090 0.2268738188329180 0.3692631260637820 0.2268434551239150 0.3692444714970290 1.8500 -3.2909776392730300 1.5682745232340400 -0.1091898494294350 -3.0363512632004200 0.2687979434647760 7.8329887072439300 0.1131215672250670 0.3413029900876950 0.5510641851374680 -0.8135836830999990 -0.6635266952999990 654.0100291172610000 -0.0083740926965916 -0.0038041437273774 0.0067550488580701 0.2914734387021230 0.2254861862925840 0.3685115814701270 0.2254430871194260 0.3684852113705210 1.9000 -3.3343433075582200 1.5915991149446000 -0.1106936328673180 -3.0375507641043200 0.2666795724816280 8.2507975195835100 0.1098369163208500 0.3354068180823930 0.5449205911593960 -0.8059532870000000 -0.6520968804000000 647.4266150139670000 -0.0104189177845531 -0.0034604521911671 0.0072196635584641 0.2911665894857830 0.2248095256004810 0.3678550062640120 0.2247530230939940 0.3678204782535530 1.9500 -3.4108504798713200 1.6252619686965300 -0.1131125547688830 -3.0397762621238200 0.2649863796637390 8.6493609142322000 0.1073862711270420 0.3299294214445370 0.5404962138620350 -0.7983612451999990 -0.6426525954999990 643.8446894795020000 -0.0134266785185502 -0.0027166457870933 0.0076790328462967 0.2910622141683770 0.2241991485105830 0.3673996063001000 0.2241174298617830 0.3673497446364290 2.0000 -3.4835528377726100 1.6562992065143400 -0.1154147661327820 -3.0442154569996200 0.2641813503629670 8.9746507855722500 0.1058745154124260 0.3256670883462820 0.5351158123025720 -0.7909590998000000 -0.6342277109999990 641.1223369683100000 -0.0162396506874878 -0.0019971914576055 0.0080969196977610 0.2906422190364900 0.2257008081025670 0.3679860789005580 0.2255881657370820 0.3679170015194690 2.0500 -3.5202975354726100 1.6731512260232200 -0.1165005271881150 -3.0477563883612600 0.2634846566131420 9.2432914325525100 0.1041709341573030 0.3232678877286640 0.5306570263136390 -0.7868670273000000 -0.6274791391999990 637.7141860181120000 -0.0191554489533734 -0.0012473047561400 0.0085218466106380 0.2907682358824010 0.2264100908539320 0.3685209576654350 0.2262572116427430 0.3684270522349200 2.1000 -3.5458938885078200 1.6845777939319400 -0.1171181667917870 -3.0515383989493900 0.2632357138015600 9.4625130088972500 0.1012881822995030 0.3209059812135480 0.5252967722487980 -0.7841080493000000 -0.6199304787999990 633.7627542839510000 -0.0223249288146324 -0.0001124348910179 0.0086821556135342 0.2907756522847090 0.2265162799678280 0.3685920577712730 0.2263101781128020 0.3684654348497920 2.1500 -3.5199825019468000 1.6792425435213300 -0.1165416774781870 -3.0597853386757800 0.2639617395075430 9.6775735981192400 0.1020760034791760 0.3212840907303280 0.5227146834108650 -0.7790012309999990 -0.6178458570000000 636.0483713824860000 -0.0231098302387173 0.0000496747344591 0.0088333141646443 0.2908183989406750 0.2266935312320810 0.3687347261445390 0.2264723574859560 0.3685987925477570 2.2000 -3.5031419338245600 1.6764268436783600 -0.1160638437237370 -3.0623082143254100 0.2635468927546750 9.9304019444917400 0.1027788501234010 0.3209574693616680 0.5207400269584710 -0.7739187749999990 -0.6160142927999990 638.0998569495980000 -0.0241033865413230 0.0005503540992503 0.0087555682973175 0.2905090552219770 0.2270693384779830 0.3687221116814050 0.2268282830901860 0.3685737119974880 2.2500 -3.5327494922274100 1.6854363336311600 -0.1163493747163140 -3.0524679397645100 0.2614107154446340 10.1609354498268000 0.1023983641001920 0.3195504091182840 0.5178463907777940 -0.7688815777999990 -0.6121204005000000 638.1598871439530000 -0.0255833627654846 0.0013614170963980 0.0085803694880260 0.2898419116195210 0.2274521055300810 0.3684328894674380 0.2271787748643290 0.3682642115114040 2.3000 -3.6034185018030000 1.7053958462832100 -0.1174030046572510 -3.0333789777930400 0.2581517254351440 10.3141802331871000 0.0995632067023649 0.3157899687229460 0.5121518403979560 -0.7647115669999990 -0.6038968611999990 633.5439350350940000 -0.0279811702628499 0.0031092206565588 0.0078860845757750 0.2890951139293440 0.2275287420327450 0.3678930732547480 0.2271936822626840 0.3676859450100010 2.3500 -3.6861910178165100 1.7288663571843100 -0.1187897511063700 -3.0143612007839700 0.2551674844371200 10.4285547711269000 0.0978867879029756 0.3121334367528690 0.5085425057358670 -0.7607104611999990 -0.5960672843000000 629.7683038672590000 -0.0295539708674842 0.0043637172325333 0.0073336397193709 0.2886267596273490 0.2278171020632830 0.3677037372199200 0.2274344803092100 0.3674668001418680 2.4000 -3.7689037444354200 1.7529547023159300 -0.1201054792527720 -2.9947049781256600 0.2515135754997760 10.6050667019036000 0.0973966535081477 0.3083519663731510 0.5069691796615470 -0.7559279834000000 -0.5900635576999990 627.2428414098920000 -0.0323287785513523 0.0060804070705871 0.0068212119493280 0.2877838133878200 0.2282117716579920 0.3672875385461850 0.2277394870013780 0.3669942740529980 2.4500 -3.8494938660404200 1.7791604255695100 -0.1216731863400040 -2.9797613343876500 0.2483373954345230 10.8043525744193000 0.0945259273969444 0.3020872016081880 0.5013501663390210 -0.7481718813000000 -0.5789829507000000 622.7702303382660000 -0.0367443606799345 0.0084730586414835 0.0063128366439689 0.2869916378459290 0.2286416561649510 0.3669348813173000 0.2280072580037770 0.3665399158289450 2.5000 -3.9002572097670600 1.7946260101828300 -0.1224119618095850 -2.9677652725933600 0.2458454123655570 10.9716659441135000 0.0930720253586086 0.2982395942724850 0.4962479907705270 -0.7415534768000000 -0.5715721373000000 621.6507340579120000 -0.0405121691619917 0.0099957654390232 0.0063571979234923 0.2860344068541520 0.2285747614282030 0.3661449213991180 0.2277909442989510 0.3656561174232070 2.5500 -3.8994528351623900 1.7936169784114500 -0.1218845821378960 -2.9624155764303500 0.2443985636796040 11.1866342824377000 0.0948409359988404 0.2981838265931670 0.4953720424609630 -0.7371349642000000 -0.5701902476000000 625.7864778923530000 -0.0426199802281462 0.0103070115694261 0.0068947513062576 0.2848050752929210 0.2284466171455710 0.3651051736114700 0.2275834232863720 0.3645656943094760 2.6000 -3.8698179664311800 1.7840224381607500 -0.1208351845337930 -2.9646953103741100 0.2444133547013920 11.3517284451802000 0.0976131314287696 0.2985750376832070 0.4964706954572310 -0.7332587512999990 -0.5698742290999990 630.5587559238600000 -0.0443354219076693 0.0105699172352999 0.0073296590668999 0.2837864772009310 0.2285405252177750 0.3643700540781740 0.2276105550533470 0.3637874783631340 2.6500 -3.8249518732679000 1.7684712223157600 -0.1193833065548650 -2.9705641575388300 0.2453170719053730 11.4521028059218000 0.1011266888525050 0.3010762903987990 0.4991181163848110 -0.7324219121999990 -0.5734599462999990 635.9633126441040000 -0.0453864025306060 0.0108989034436747 0.0074464663433345 0.2829203819718650 0.2286033460842100 0.3637353878522180 0.2276281517574240 0.3631232821062380 2.7000 -3.8010918839736000 1.7594997949301300 -0.1185009660848080 -2.9742006247369300 0.2462015567627040 11.5219618174955000 0.1028753405002940 0.3014583372071570 0.5007677128293540 -0.7318206736000000 -0.5730980276999990 637.5152608571610000 -0.0446232983508252 0.0111165446787204 0.0069771242129164 0.2821061112580920 0.2289163333444540 0.3632995261227740 0.2279666078172250 0.3627018504072670 2.7500 -3.7775495124959000 1.7514317483210300 -0.1178016223292640 -2.9802058749887600 0.2475132246720580 11.5846057470485000 0.1054994703480340 0.3022289610994910 0.5038724133576740 -0.7312017747000000 -0.5740378487999990 640.5276176995040000 -0.0438936164694749 0.0113697316347867 0.0064955165140587 0.2814840663440500 0.2296905340060150 0.3633056853636480 0.2287652609516670 0.3627214140685190 2.8000 -3.7675173287034700 1.7465767133125000 -0.1172695006923400 -2.9814982243543100 0.2481000718768770 11.6493362971215000 0.1073867452979670 0.3022557568711900 0.5055866120385230 -0.7292501600999990 -0.5737987951999990 643.0684280352780000 -0.0431466781695960 0.0115605699278133 0.0060543782081399 0.2813433554348280 0.2304640669149770 0.3636863618371180 0.2295648522366750 0.3631172056372080 2.8500 -3.7374236197664800 1.7365906358016800 -0.1164695577044140 -2.9875865198616200 0.2495350804118060 11.7176973800536000 0.1098461235064850 0.3031672861196750 0.5069985526411030 -0.7266300476999990 -0.5742307930000000 646.5573550149580000 -0.0420666298353129 0.0114599285177020 0.0057447283174137 0.2812416753501300 0.2309314935767940 0.3639041558973420 0.2300747016152490 0.3633610439729250 2.9000 -3.7284955682732900 1.7312089848180300 -0.1158872648205700 -2.9851806834689800 0.2499292385372980 11.7417665563445000 0.1092801189078820 0.3013144405842280 0.5050333263388100 -0.7233565450000000 -0.5683084498999990 644.9932655652070000 -0.0419696695385640 0.0115189749272974 0.0056644789610511 0.2812125940523160 0.2314256826175710 0.3641955101708990 0.2305734454473940 0.3636545569618440 2.9500 -3.7293477782697800 1.7305044988754600 -0.1157771908946510 -2.9864543650849900 0.2508656441106190 11.7706242218151000 0.1087673659644000 0.2992866185509130 0.5023343957707720 -0.7190851235999990 -0.5619106802000000 643.8430695390050000 -0.0418387212028657 0.0114385205458388 0.0057047398189249 0.2811940369283110 0.2320915251748830 0.3646046659904990 0.2312488305299750 0.3640688231990220 3.0000 -3.7181242535349100 1.7276931468404900 -0.1155813789892250 -2.9923117217806700 0.2523813577739830 11.8386025178292000 0.1081958140488820 0.2968493026283440 0.4983702292088530 -0.7127096177999990 -0.5547507065000000 643.3004613025160000 -0.0434663752687055 0.0115341667660334 0.0062500594261708 0.2812581479022440 0.2324512752973370 0.3648831883613700 0.2315528559466120 0.3643115025063480 3.0500 -3.6956340556871400 1.7206187941941100 -0.1150167598499700 -2.9988436649335800 0.2539419556951400 11.9194683915271000 0.1086737109732570 0.2959065975557770 0.4948486904189350 -0.7068463845000000 -0.5505036211999990 645.2135596868140000 -0.0452716433068448 0.0115064140929809 0.0069656892578927 0.2814701521390040 0.2324461162676770 0.3650433447045440 0.2314855797219940 0.3644324631044570 3.1000 -3.6813160032904200 1.7155258202519800 -0.1145505404919180 -3.0038839370105000 0.2551858648729980 12.0039385111510000 0.1090050728960150 0.2949483545221940 0.4926409964218200 -0.7026153174000000 -0.5469183171999990 645.8935255249500000 -0.0468072038612910 0.0115728331592671 0.0074902920484155 0.2818331094534140 0.2325544222368890 0.3653922014577130 0.2315379655698930 0.3647461186694460 3.1500 -3.6775783350675800 1.7155128319969200 -0.1146377916229110 -3.0118407676316600 0.2569358791900200 12.0742634904719000 0.1091443101736000 0.2938131649454180 0.4900236170672850 -0.6980489868000000 -0.5428919486000000 645.7804611139640000 -0.0479615510478418 0.0118381791218001 0.0077074163092398 0.2818751172675010 0.2332212849614790 0.3658493535509540 0.2321583978509210 0.3651727035626760 3.2000 -3.6659294873541300 1.7136637460848000 -0.1147416240813500 -3.0252506083430600 0.2598508147657760 12.1048145398767000 0.1100889034892090 0.2931797204446210 0.4884942104824450 -0.6940035704000000 -0.5396923054000000 646.1919498532980000 -0.0483250927774362 0.0118108190612669 0.0078979662501019 0.2815906434174380 0.2338622314080920 0.3660393882349530 0.2327894798072230 0.3653549402555880 3.2500 -3.6684173961240700 1.7163524483997700 -0.1151526871572930 -3.0362930264013800 0.2622711064006620 12.1519366896376000 0.1104048038719750 0.2916625146509380 0.4867114189241820 -0.6900107584000000 -0.5355403509999990 645.4950076960340000 -0.0490027472661637 0.0116646377564768 0.0083183567788232 0.2811251559606220 0.2343102657058470 0.3659681050706860 0.2332171398454860 0.3652691988542060 3.3000 -3.6568737955112700 1.7149716752503300 -0.1152636829783470 -3.0497636006247000 0.2650378354531420 12.1895595447057000 0.1110253339198450 0.2899773735042430 0.4849558687508500 -0.6850873382000000 -0.5313441059000000 645.7166178580670000 -0.0499209970029787 0.0115349091863349 0.0088247114285518 0.2803604769175450 0.2348226217665170 0.3657098039576380 0.2336979833399140 0.3649886908310670 3.3500 -3.6406199358627100 1.7128733853983800 -0.1153168220048140 -3.0638966368024300 0.2677208608308630 12.2532416189361000 0.1118343185619860 0.2885592102376240 0.4837750631605140 -0.6808719651000000 -0.5274345794999990 646.1798543932350000 -0.0500552073655930 0.0111990758754792 0.0092369004974032 0.2792772205267840 0.2357446163122870 0.3654740620418820 0.2346241531709040 0.3647523257723380 3.4000 -3.6320648941606900 1.7114392949805400 -0.1153895399029740 -3.0748815506767300 0.2701811743391670 12.2787609002995000 0.1128839041023790 0.2877535026213520 0.4830963723597380 -0.6777430547999990 -0.5249056185999990 647.3687493714000000 -0.0499577842926745 0.0105809929270276 0.0098074986429933 0.2783073106557350 0.2363745948763410 0.3651409430170520 0.2352726722178970 0.3644285793636080 3.4500 -3.6277066630409100 1.7091533463068000 -0.1153095002369290 -3.0812723228210000 0.2721527018996230 12.2622872679614000 0.1138093728359380 0.2872831464759160 0.4818112288488650 -0.6744795861000000 -0.5221834947000000 649.2429599627210000 -0.0504351208391289 0.0099509567203803 0.0105967275396663 0.2774355386167250 0.2366062639571390 0.3646272099436730 0.2354981680592570 0.3639091442198430 3.5000 -3.6241027595330600 1.7068896302063800 -0.1150655998490320 -3.0837379022608600 0.2730220393316240 12.2869304307334000 0.1142131825843250 0.2866175318576930 0.4795045955336720 -0.6706088458000000 -0.5189584981000000 650.5789050172750000 -0.0511323930115620 0.0095002019685569 0.0113041119513092 0.2766478019814670 0.2368116062356760 0.3641616992341420 0.2356843042745170 0.3634296322846280 3.5500 -3.6163104660176900 1.7025161261697900 -0.1146275000077160 -3.0860197184411800 0.2739062261324590 12.3113704759823000 0.1152999269843750 0.2870082252570050 0.4779339786419450 -0.6678414353999990 -0.5177923317999990 652.8997830155450000 -0.0521391963337313 0.0090472893991184 0.0121347825965561 0.2759258936515800 0.2371181856661000 0.3638133213077920 0.2359586338627690 0.3630586394534740 3.6000 -3.6294370953839600 1.7039748933938100 -0.1145489644764370 -3.0848588842224500 0.2741705402890330 12.3291522318662000 0.1161949029066410 0.2871923549829870 0.4754508883528980 -0.6638451939999990 -0.5156973059999990 655.6257190513270000 -0.0530889942554273 0.0085503262271407 0.0129818556290183 0.2754505463399360 0.2376110451106150 0.3637746723419980 0.2364209201753270 0.3629984228278660 3.6500 -3.6398070159613500 1.7046933492046600 -0.1143849777289760 -3.0828262088610200 0.2741731455121400 12.3513324285860000 0.1163309565722810 0.2869330249178970 0.4728280294042070 -0.6604666062999990 -0.5133079230999990 657.0825003541730000 -0.0541710773858037 0.0083370892618399 0.0136170496294720 0.2750766360704100 0.2380243282340750 0.3637619228878910 0.2367922101146580 0.3629568934223420 3.7000 -3.6395887911470000 1.7030251061095400 -0.1140696835778000 -3.0836554111858300 0.2745206938143270 12.3920643864520000 0.1160718941814010 0.2868582868429140 0.4699969891834830 -0.6574088805000000 -0.5107877986000000 658.0496802990510000 -0.0546741847971717 0.0082239123751642 0.0139391476612276 0.2746501438549180 0.2385104771907240 0.3637580916615800 0.2372590206485420 0.3629387612237530 3.7500 -3.6309771661119300 1.7002003479837400 -0.1137843826080070 -3.0894434037039000 0.2755984596399180 12.4575592774033000 0.1166973977575770 0.2880756904718440 0.4683832755008790 -0.6554482667000000 -0.5105194583000000 660.2308962025870000 -0.0554043103534579 0.0082315474301870 0.0142400890710062 0.2741289927948430 0.2389534739385580 0.3636556989764090 0.2376705246794200 0.3628139784960140 3.8000 -3.6194797776890200 1.6975437359166500 -0.1135591503573950 -3.0972264066892100 0.2768921788324940 12.5449243242103000 0.1170505140277170 0.2887850057656030 0.4663049467855850 -0.6536567831999990 -0.5097442550999990 661.3661616220240000 -0.0564672989397864 0.0084191058722405 0.0145092777440548 0.2735460915160870 0.2394305500341310 0.3635305385705220 0.2380980406543120 0.3626542997775560 3.8500 -3.6130956417243300 1.6956310138924200 -0.1133754935092480 -3.1031925330156500 0.2781073301923520 12.6072931769766000 0.1169401321297110 0.2883565071782320 0.4636065713814360 -0.6509617202999990 -0.5075026407999990 661.2732994013040000 -0.0573048498723883 0.0085669226763562 0.0147282391013579 0.2728482861716130 0.2398030957284080 0.3632515822232780 0.2384303122117890 0.3623467966578400 3.9000 -3.6031295334224800 1.6926136454554600 -0.1131239080604600 -3.1091302237360700 0.2794311398184560 12.6635418358058000 0.1157517058625920 0.2867774016974020 0.4603476865536750 -0.6482912807999990 -0.5036479243000000 659.0190974997260000 -0.0576624600627754 0.0087120922512229 0.0147595402177523 0.2722817162405370 0.2401343769638430 0.3630452478668540 0.2387424963582330 0.3621261003659540 3.9500 -3.5949772898376500 1.6903972174033100 -0.1129736011693220 -3.1156131624749000 0.2809162927380170 12.7032462910866000 0.1139693948531360 0.2844592700397060 0.4571252960058710 -0.6459389818999990 -0.4991603513000000 655.2656273981580000 -0.0579235389970591 0.0089757033110975 0.0146423073173128 0.2718274147529450 0.2404352609708810 0.3629039241030680 0.2390266191637310 0.3619721924127780 4.0000 -3.5879174492308300 1.6890940080884600 -0.1128841877050190 -3.1224660460706600 0.2822792909686670 12.7543160967594000 0.1119890714433590 0.2817361688665730 0.4534378584333170 -0.6428214690000000 -0.4939849281000000 651.4850608555060000 -0.0583039796710700 0.0092717900996661 0.0145442858770594 0.2713069027359440 0.2407315750359230 0.3627108031082710 0.2392999325376520 0.3617622053016260 4.0500 -3.5763924962613400 1.6868729155391200 -0.1127051537283960 -3.1284169355448200 0.2833667271003130 12.8327594914900000 0.1093760327290160 0.2782208210569330 0.4487487914174280 -0.6387628990999990 -0.4868682186000000 646.5514392717970000 -0.0589747287756861 0.0095363361233895 0.0145877595061200 0.2708009977914730 0.2410222502114330 0.3625257308134700 0.2395545293854020 0.3615515909990150 4.1000 -3.5561194903530500 1.6812639519926600 -0.1121968733619400 -3.1330851527850800 0.2842102431833120 12.9076823134005000 0.1068429936799920 0.2744623345913440 0.4443139014535170 -0.6341213025999990 -0.4792011548999990 641.7741873892240000 -0.0597318761436417 0.0093612874116877 0.0150663062681507 0.2701503077125350 0.2412005187083920 0.3621586378679580 0.2396997884895970 0.3611608746239480 4.1500 -3.5273416368016100 1.6717431535203000 -0.1112766657830570 -3.1347846590446600 0.2845296085525980 12.9896658546113000 0.1047409997800340 0.2708479635648800 0.4406340493541170 -0.6293715573999990 -0.4715921344999990 637.4753839329910000 -0.0600114329207680 0.0087858188645830 0.0157281379784937 0.2694071209823180 0.2415055212727570 0.3618081171577100 0.2400015261676900 0.3608059442398380 4.2000 -3.4997489393881800 1.6612888810586800 -0.1102197981862750 -3.1330578644597700 0.2844459672515930 13.0469337176974000 0.1021887609388550 0.2670435135800740 0.4363958154716190 -0.6247797752999990 -0.4632166587000000 632.1805408261490000 -0.0603042109623019 0.0082529915238830 0.0163537926744507 0.2687544160784520 0.2418570502226690 0.3615574213096450 0.2403478757280660 0.3605496325454560 4.2500 -3.4762523583709900 1.6517781498518600 -0.1092004902462710 -3.1295775096383100 0.2841087001940020 13.0946495078661000 0.0986921812472591 0.2624290493831400 0.4310497832921590 -0.6197863481000000 -0.4532882346000000 625.4956865090110000 -0.0610373573768943 0.0079986146894705 0.0168912066573881 0.2682015065286460 0.2420118826069770 0.3612503279267840 0.2404712011526090 0.3602199976236940 4.3000 -3.4502259020163100 1.6417200086958400 -0.1081358423258660 -3.1265899446090600 0.2837061759044820 13.1774183714319000 0.0963275944264813 0.2592672839513340 0.4266815951068400 -0.6154905803000000 -0.4461362407000000 621.1206364187030000 -0.0615558132484956 0.0076499688237860 0.0174239878413989 0.2677449904034640 0.2420033090952430 0.3609057792543630 0.2404420019656070 0.3598607177720010 4.3500 -3.4287606826597200 1.6331411187752600 -0.1072387615407900 -3.1245666107939400 0.2835171543271600 13.2534853841167000 0.0952601640698257 0.2573653050951480 0.4236644017539740 -0.6116777969000000 -0.4416495523999990 619.1938774723370000 -0.0620139065583387 0.0071835775899538 0.0180289535196418 0.2674890156803570 0.2418008761126110 0.3605801397726620 0.2402223676327360 0.3595235172012030 4.4000 -3.4099449956929400 1.6254315569198900 -0.1064515943128010 -3.1229808572897600 0.2835008407896920 13.3251847656925000 0.0946785046599911 0.2562747101133940 0.4211033252084670 -0.6085565432999990 -0.4383699332000000 618.5642216339610000 -0.0622744971920122 0.0066728748651420 0.0185947018265968 0.2673344496700070 0.2416172893480460 0.3603423684390490 0.2400314702097480 0.3592809689802940 4.4500 -3.4025087779085600 1.6215057124185900 -0.1059929760691070 -3.1217069816775200 0.2835989918763170 13.3938682591046000 0.0941887155321925 0.2552914230190840 0.4190168573291120 -0.6060118415999990 -0.4354505638000000 617.9165823293280000 -0.0627595139543909 0.0064342776331154 0.0190103057077894 0.2671464877881230 0.2417645808059260 0.3603017602923900 0.2401575322362350 0.3592253975254650 4.5000 -3.3895810665514200 1.6168875161973000 -0.1055329740793120 -3.1226515068175700 0.2839737241859400 13.4803817912132000 0.0933517995954791 0.2539021166828280 0.4169151258660170 -0.6039710970999990 -0.4323361218999990 616.4154866619000000 -0.0634482566891636 0.0062871768529931 0.0194178289529625 0.2669272054584230 0.2417001613779250 0.3600959608548230 0.2400592172069230 0.3589966027413690 4.5500 -3.3776358383447200 1.6133801470294400 -0.1052083549932070 -3.1255872747219300 0.2845760782909470 13.5671038138584000 0.0931392745768584 0.2529077620426640 0.4148793179070950 -0.6010468936999990 -0.4299401004999990 616.3523113461810000 -0.0635594443036693 0.0060265115317206 0.0197048130246428 0.2667622556651420 0.2417830076672180 0.3600293374770460 0.2401390301011270 0.3589273670611710 4.6000 -3.3583685604454700 1.6083133769633200 -0.1047998760550490 -3.1300558401377100 0.2853083435964600 13.6736801584162000 0.0933685917047156 0.2521142005656470 0.4131192730965250 -0.5978044474999990 -0.4284097329000000 617.3414269325120000 -0.0636943547733742 0.0058339718548543 0.0199354759276697 0.2667099998649620 0.2418214152269550 0.3600164175288890 0.2401724232981810 0.3589108760415160 4.6500 -3.3353714534085900 1.6020465369116700 -0.1042595150217670 -3.1340024245327900 0.2858501575677530 13.7902278657002000 0.0933366829798015 0.2509022073408270 0.4114378306377720 -0.5946546499000000 -0.4266634763000000 617.8788764453490000 -0.0641823557876443 0.0056401258444839 0.0203006243728890 0.2666786578690740 0.2416804899452340 0.3598985492927410 0.2400078954556290 0.3587775027003380 4.7000 -3.3136458725658400 1.5949896014911400 -0.1036071318103250 -3.1358357904955600 0.2862177752772650 13.8958162399292000 0.0935174813792536 0.2499517181830500 0.4098611367770830 -0.5912620718000000 -0.4248152620000000 618.9635527893230000 -0.0645508342563654 0.0052024116022524 0.0208425501765327 0.2666008326333710 0.2416015149515580 0.3597878485825980 0.2399140758974160 0.3586568942241570 4.7500 -3.3040382803331300 1.5902952660680300 -0.1030897885409430 -3.1342719172116100 0.2862092016309030 13.9608903577739000 0.0940578382876926 0.2492661566939460 0.4085820810084910 -0.5877118318999990 -0.4235087370999990 620.7913594409760000 -0.0647125764875177 0.0046796353471656 0.0213839057860384 0.2664860057614640 0.2416032613800280 0.3597039437873390 0.2399123309200220 0.3585703805310430 4.8000 -3.2985848008716000 1.5861658982493000 -0.1026128924417360 -3.1309075682198600 0.2860592507098490 14.0001074844774000 0.0946579757261142 0.2488444805605260 0.4074648550053150 -0.5843745594000000 -0.4226452995000000 622.8605274135900000 -0.0645293053906076 0.0040890687329170 0.0218546991189860 0.2662906130884650 0.2416563982251820 0.3595949185155410 0.2399800143060320 0.3584704979288450 4.8500 -3.2912524253793000 1.5823870637517600 -0.1021961369881520 -3.1290767836617900 0.2860837071713050 14.0515032314706000 0.0942725997279069 0.2476118482015540 0.4052024331089910 -0.5811900698999990 -0.4203603347000000 623.1374729120940000 -0.0648956836388662 0.0037688276259579 0.0222970136011541 0.2660523341853650 0.2416952580059350 0.3594446303229980 0.2400025117504130 0.3583085962853650 4.9000 -3.2778155991912900 1.5768213355936100 -0.1017002840521340 -3.1295883701046900 0.2866265182215610 14.0914544600839000 0.0940177514688705 0.2467224202436840 0.4032268971460470 -0.5781619319999990 -0.4182912788000000 623.6375950679980000 -0.0649960409009332 0.0033079089281241 0.0227652721377919 0.2657564170316800 0.2417818894612210 0.3592839479644960 0.2400874427292060 0.3581458548549270 4.9500 -3.2623270557302000 1.5714328821771800 -0.1012730276488560 -3.1321096015376000 0.2874184966285310 14.1473699300253000 0.0941279133445034 0.2463603081259310 0.4018059943434030 -0.5754450436000000 -0.4172301808000000 625.2114404563630000 -0.0650582976591393 0.0028169776659075 0.0232404977980566 0.2655209753509390 0.2417290569877320 0.3590742615998700 0.2400341922592250 0.3579354715655500 5.0000 -3.2439985256051400 1.5653265813956600 -0.1007886129953940 -3.1355200449549300 0.2882419130281860 14.2096496423898000 0.0948155233149771 0.2464326163732380 0.4011116985104400 -0.5728648174999990 -0.4174608377999990 628.3041805684500000 -0.0651236304389814 0.0023153550799713 0.0237252376076290 0.2652891982301680 0.2416039640554840 0.3588186647109220 0.2399080230651890 0.3576789317651410 5.0500 -3.2282739005574300 1.5596017026901200 -0.1003036350800760 -3.1378497708586000 0.2888721530190230 14.2619350839515000 0.0956601979536418 0.2467614631076690 0.4008522925389180 -0.5709478474000000 -0.4184400965000000 631.5172437869110000 -0.0655326653268977 0.0018006423569846 0.0243539408893790 0.2650786899267430 0.2413717952384460 0.3585067020153300 0.2396561255178630 0.3573538447414720 5.1000 -3.2243867658544500 1.5564857507480300 -0.0999973141309094 -3.1373768450412900 0.2893046584289170 14.2828657424767000 0.0959995601802299 0.2466173695172760 0.3998498283188500 -0.5689155438999990 -0.4183917452000000 633.7247268828800000 -0.0662381016935691 0.0014981032701411 0.0249075536620884 0.2648545317494420 0.2411591661117440 0.3581978034381680 0.2394070376963200 0.3570205213804160 5.1500 -3.2197529771889400 1.5538652975065300 -0.0998024263249297 -3.1393964441396100 0.2902159459845580 14.2915464222760000 0.0958182442165905 0.2457954168725990 0.3985704440733490 -0.5671424742999990 -0.4172787523000000 634.6240448717440000 -0.0671043271763086 0.0012618864667904 0.0254643241702727 0.2646469579064980 0.2409911469462960 0.3579312018190860 0.2391933333307340 0.3567232303047160 5.2000 -3.2132897022320300 1.5516268742438700 -0.0996560108150757 -3.1427047265828000 0.2911988199806440 14.3288036344835000 0.0949993900100206 0.2444231084749430 0.3969117412299660 -0.5659360173999990 -0.4151676042999990 633.5605727404300000 -0.0679646599269399 0.0010639193511127 0.0259813249369123 0.2644878934360930 0.2407637124710500 0.3576604689046650 0.2389191814971840 0.3564214093759620 5.2500 -3.2105955251598300 1.5493587777629000 -0.0994143867262801 -3.1421662528589800 0.2915490164532590 14.3574319745975000 0.0942909714320525 0.2432835948009390 0.3954834365715990 -0.5648892647000000 -0.4132132498000000 632.5899526168110000 -0.0684963742868849 0.0007791251847975 0.0264490262059553 0.2642518012521900 0.2405270911019320 0.3573265957341880 0.2386529852207160 0.3560677770028990 5.3000 -3.2116867974075900 1.5482637512174400 -0.0992279515533292 -3.1405355109664400 0.2916128989645920 14.3929299328201000 0.0933739081378622 0.2419860072779600 0.3936817002125770 -0.5635265131000000 -0.4110132148999990 631.5136083764000000 -0.0689657476150063 0.0005828026467224 0.0268109377332723 0.2640491638926570 0.2402626993224960 0.3569987754014620 0.2383616613676300 0.3557221423560080 5.3500 -3.2079731775380400 1.5448291037931200 -0.0988042628679176 -3.1377813906208300 0.2915409442241180 14.4155139528731000 0.0922698362660153 0.2403379702926210 0.3914979683399740 -0.5619057016999990 -0.4084197094000000 630.0930835761020000 -0.0694492227452831 0.0003919239209605 0.0271750721642349 0.2638191231085430 0.2400224090692160 0.3566669126414040 0.2380934049629340 0.3553716353405320 5.4000 -3.2053662501303800 1.5415301734488600 -0.0983807892639273 -3.1345918981813300 0.2914055722005640 14.4339032319724000 0.0911374092195443 0.2389790396485020 0.3890972419850660 -0.5606843759999990 -0.4060920161000000 629.0014032056830000 -0.0696172801153399 0.0001219802672842 0.0274842445875781 0.2635750375895830 0.2396598859162980 0.3562424193688380 0.2377196640449070 0.3549400500281330 5.4500 -3.2029513273544700 1.5387794452650400 -0.0980240149452041 -3.1322933778421600 0.2913307040042670 14.4567486187329000 0.0902770826099558 0.2377860433505480 0.3869686323326010 -0.5593609609999990 -0.4042931658000000 628.3306751930820000 -0.0694923969782872 -0.0001499966190543 0.0276812670123620 0.2632159641115550 0.2392420768049480 0.3556956776193940 0.2373065245847740 0.3543967132659090 5.5000 -3.1989636471634800 1.5347501425112200 -0.0975405931058534 -3.1283403688001100 0.2910930301029990 14.4568145755095000 0.0893603709350110 0.2364649959981720 0.3851687055521690 -0.5583903971000000 -0.4023532407000000 627.0783562307410000 -0.0691237431311060 -0.0004757851618760 0.0278347570370638 0.2628058552846030 0.2389292563955870 0.3551817944850490 0.2370119514496280 0.3538948752127280 5.5500 -3.1950105087392900 1.5308245655716300 -0.0970575480199530 -3.1242334871549400 0.2907680656479580 14.4635190920190000 0.0886835848408367 0.2355521603251950 0.3839920602463750 -0.5578242222000000 -0.4008960631999990 626.0464081853520000 -0.0681494055112516 -0.0009630556306487 0.0278970538026898 0.2624723883441180 0.2387362223739020 0.3548052120761850 0.2368703541741710 0.3535524279787410 5.6000 -3.1900925489860500 1.5272748979939200 -0.0966305804087904 -3.1220956655624200 0.2906385657325940 14.4864287021763000 0.0884179759771170 0.2351561548533780 0.3831344563265770 -0.5573631157999990 -0.4002363782999990 625.8790007761530000 -0.0671829644747062 -0.0014731146899863 0.0279819736368724 0.2621521035872130 0.2385267150912190 0.3544273116273760 0.2367106715644230 0.3532076831662660 5.6500 -3.1856900060357400 1.5236746577486200 -0.0961539938748360 -3.1190430811114500 0.2903035648334450 14.5212580531558000 0.0881889021236413 0.2345070476549380 0.3822540529573870 -0.5565331741000000 -0.3989210615000000 625.7228666867760000 -0.0663375595448081 -0.0021520997005004 0.0282694168221828 0.2617773726066300 0.2383857827206830 0.3540553264846940 0.2366116128797560 0.3528632145157530 5.7000 -3.1858827866874900 1.5205194689806500 -0.0956456900557979 -3.1130381577607400 0.2895801493561650 14.5413292106297000 0.0874829929973436 0.2335817581143130 0.3810294359733970 -0.5560679938000000 -0.3965102751999990 624.1796810279920000 -0.0654028525131894 -0.0030084743577346 0.0286812797965481 0.2615005514221850 0.2383174327799060 0.3538046596088190 0.2365882440757950 0.3526422204288290 5.7500 -3.1894148797533800 1.5180884928416400 -0.0951581700138832 -3.1049878911882200 0.2885181795227110 14.5592181875611000 0.0864371640644693 0.2324334147732050 0.3794136059453050 -0.5556492725999990 -0.3933479033999990 621.8628599920730000 -0.0644108886991400 -0.0037635963887194 0.0289783545749076 0.2612410352504270 0.2382638393071830 0.3535767747181850 0.2365814348395600 0.3524452493784820 5.8000 -3.1890593549484300 1.5143458042825600 -0.0946106320024290 -3.0974694245743100 0.2876802804704590 14.5650814324923000 0.0856545717370460 0.2313381581324660 0.3777303310075440 -0.5546915571999990 -0.3903540170000000 620.3115856739680000 -0.0631208102145129 -0.0045022750470802 0.0291451087330944 0.2609292696903440 0.2382631112229630 0.3533459975021400 0.2366413740055110 0.3522544870861870 5.8500 -3.1942531340577400 1.5121385575699600 -0.0941678554032399 -3.0884807371962400 0.2866139742504110 14.5677314812644000 0.0848964442816940 0.2300687980498170 0.3761438036226250 -0.5534541892000000 -0.3871408779000000 618.8360114641680000 -0.0620225405960140 -0.0051283270580084 0.0292869027991912 0.2605716067777900 0.2383205225657960 0.3531207070320200 0.2367487577545390 0.3520618362689670 5.9000 -3.2037411677044200 1.5111114042845300 -0.0938086229062630 -3.0788323585361700 0.2854589179592360 14.5539728343649000 0.0839132221251302 0.2284080273116670 0.3746481334166860 -0.5521800067000000 -0.3835621270999990 616.9807148113480000 -0.0610331801953842 -0.0057019625609670 0.0294239815001999 0.2601879002059180 0.2383620508507730 0.3528657119916180 0.2368335504833190 0.3518350096964480 5.9500 -3.2174377130075700 1.5111597362283400 -0.0935145920318069 -3.0678865947739800 0.2840863882499950 14.5510702433625000 0.0832105293392729 0.2271189127185690 0.3734728471876180 -0.5509146852999990 -0.3806635444000000 615.8522422150520000 -0.0598038363695909 -0.0062854956876494 0.0294748748073226 0.2598512413859530 0.2384684807103000 0.3526895007539910 0.2369936623410520 0.3516939914750400 6.0000 -3.2419247458565700 1.5145128742596000 -0.0934857600323525 -3.0560261890040100 0.2826337771642030 14.5402347437832000 0.0822380513421082 0.2256878218919090 0.3721280121803770 -0.5498507915000000 -0.3772586841000000 614.0194500245730000 -0.0587964280772829 -0.0069458352704829 0.0296816489727441 0.2595209164493320 0.2385909250947910 0.3525290564085320 0.2371566321648210 0.3515599155968460 6.0500 -3.2655990161226100 1.5174916555290800 -0.0934568091848268 -3.0444737680810300 0.2813549059228580 14.5069869553652000 0.0811310442622008 0.2240238698841760 0.3705161517087050 -0.5482883482999990 -0.3733244374999990 612.0234158541060000 -0.0575598348030240 -0.0077314448709843 0.0299099114610000 0.2591904789061310 0.2387216344335230 0.3523744075584980 0.2373349980758590 0.3514364888102230 6.1000 -3.2885662925423500 1.5199955575209900 -0.0934044021221018 -3.0328045202890100 0.2801173771173870 14.4627849927047000 0.0804925796448099 0.2228565274959540 0.3693387961779840 -0.5468373896999990 -0.3703883190000000 611.1717144475960000 -0.0562202357666007 -0.0085460323465339 0.0301255368161442 0.2587601465019750 0.2389504424188960 0.3522131845202700 0.2376135881808930 0.3513076012640810 6.1500 -3.3097319296510200 1.5226380136710300 -0.0934046811091601 -3.0228161966456500 0.2790767408416400 14.4299421085976000 0.0800507010547783 0.2218895550429010 0.3683033338838440 -0.5451023234999990 -0.3679156641999990 610.9853810017370000 -0.0549742752724836 -0.0093137613572728 0.0303350180632041 0.2583125222040380 0.2391939537803520 0.3520498638722780 0.2379009192550350 0.3511726164008270 6.2000 -3.3299300216500500 1.5250645854976500 -0.0934124801801045 -3.0135939937824300 0.2781958347252780 14.3879798371209000 0.0796499818648570 0.2209483696597820 0.3670690067416890 -0.5432056664000000 -0.3656366285000000 610.8120932376750000 -0.0539244440291702 -0.0100198690672309 0.0305654406323642 0.2578875862264610 0.2394734967571550 0.3519283489274620 0.2382147036818410 0.3510730012119100 6.2500 -3.3467591414732700 1.5270214734671800 -0.0934137190868939 -3.0061025209220200 0.2775339834818370 14.3589807534243000 0.0792927414762180 0.2200683415909280 0.3658199320118480 -0.5413255798999990 -0.3635192739000000 610.8270294748250000 -0.0530120544395716 -0.0107388276936095 0.0308603790289140 0.2574904296815300 0.2397468964939710 0.3518236713981450 0.2385144998176210 0.3509850253227750 6.3000 -3.3632909282283800 1.5290157658892100 -0.0934460012820791 -2.9997267442064400 0.2770858415566860 14.3212372377562000 0.0791980610201015 0.2195071839950960 0.3646355817479010 -0.5392793299999990 -0.3618429435000000 611.7836025173550000 -0.0522314171325397 -0.0115278813834657 0.0312691394885233 0.2571180937124890 0.2400061487070890 0.3517281130810470 0.2387915949032420 0.3509004700919880 6.3500 -3.3807920526636600 1.5316785989131400 -0.0935349429951796 -2.9942237873841300 0.2767051363803960 14.2925468825101000 0.0791097208165179 0.2189788809177080 0.3633124493032520 -0.5372452050999990 -0.3600581252000000 612.6442870780060000 -0.0515920917600824 -0.0123122175435842 0.0317286119881181 0.2567827277439290 0.2402929618759460 0.3516789399363110 0.2390890184196370 0.3508574183289820 6.4000 -3.3998323040437600 1.5352129098970200 -0.0936982109118404 -2.9889787756498800 0.2762947014267130 14.2743478259463000 0.0789882537427104 0.2182472859348010 0.3615760935385190 -0.5345190881000000 -0.3578586651999990 613.5557514862320000 -0.0511099413496138 -0.0130453479085998 0.0322028289600271 0.2564919091260770 0.2405677433317490 0.3516545728109760 0.2393677194691160 0.3508347254349050 6.4500 -3.4185821642075300 1.5379514844183500 -0.0937760410466936 -2.9823057705714900 0.2757544563638640 14.2401220472086000 0.0789480987443637 0.2175660774921150 0.3600749944211340 -0.5318259693000000 -0.3557117541000000 614.8543910318100000 -0.0505549767208206 -0.0137687962281953 0.0326378907380210 0.2562581598528310 0.2408324640042190 0.3516653525860950 0.2396384797827280 0.3508487501527340 6.5000 -3.4386033491058300 1.5404150566950000 -0.0938129105012666 -2.9747808766417000 0.2751653454121600 14.1773482194363000 0.0789616498903425 0.2168635523896860 0.3589230179539440 -0.5292418432000000 -0.3537367120000000 616.3638428044000000 -0.0501320588936134 -0.0144682423909281 0.0331040779927825 0.2560141278719230 0.2411623777567160 0.3517136990725470 0.2399689012296320 0.3508964337626960 6.5500 -3.4557420138509500 1.5423043325630000 -0.0938534293106528 -2.9691567740336800 0.2749097428020160 14.1064997335119000 0.0795008919237397 0.2165380252405830 0.3583740584197020 -0.5267151286000000 -0.3526545074999990 618.8954753562340000 -0.0495990533599464 -0.0152256955116513 0.0335776925252220 0.2557540384449370 0.2414857687601770 0.3517463641526210 0.2402946917213660 0.3509297181065760 6.6000 -3.4694324469105000 1.5436534790582600 -0.0939060140555328 -2.9656960750539300 0.2750276536154800 14.0323428021090000 0.0801178683804650 0.2162797034235540 0.3580126170616010 -0.5243902594999990 -0.3515816135000000 621.2750934157910000 -0.0488580124449277 -0.0160380091363728 0.0340173722312017 0.2554575614059280 0.2419023039329310 0.3518171262567010 0.2407191867761410 0.3510046902273960 6.6500 -3.4824267861218300 1.5446067819424700 -0.0939318167523680 -2.9616727104499300 0.2751044789402470 13.9518920031360000 0.0806078960435990 0.2161000708861830 0.3573620024221310 -0.5223502607000000 -0.3504987089000000 623.3292168195520000 -0.0479324153832062 -0.0168932546304068 0.0344207412621164 0.2551675941637210 0.2423097545772330 0.3518870817102840 0.2411389179141060 0.3510818691474790 6.7000 -3.4959527235074300 1.5459817465347800 -0.0939965864810687 -2.9578211726514200 0.2751893349225890 13.8748592193211000 0.0804979969215772 0.2154531699439090 0.3562724228694260 -0.5207794963999990 -0.3487072198999990 623.7335298393420000 -0.0473062396225382 -0.0176218669083748 0.0348292527118081 0.2548735406215430 0.2427132296040500 0.3519520330013590 0.2415455524746930 0.3511477974148010 6.7500 -3.5101774729237200 1.5477084019897600 -0.0940819209058811 -2.9536080061923200 0.2751719775614670 13.8052001379073000 0.0800714736356568 0.2146490040522440 0.3550852259878640 -0.5194563148999990 -0.3466574834000000 623.4945337565550000 -0.0467939651013536 -0.0182672216646854 0.0352077821906936 0.2546023417619600 0.2430999711658520 0.3520226532646900 0.2419327944706540 0.3512176383256590 6.8000 -3.5257512984887000 1.5499669457751500 -0.0942090560376975 -2.9492823672534200 0.2751208903211000 13.7373947287364000 0.0794596799261875 0.2136913072784590 0.3537961950852710 -0.5181650002000000 -0.3444386314999990 623.0250957366770000 -0.0464763769738426 -0.0188325867283277 0.0355916609024285 0.2543234274928250 0.2434144892384370 0.3520383776563390 0.2422421750578490 0.3512288102483280 6.8500 -3.5389657104198300 1.5516157732881400 -0.0942950491862606 -2.9458258252539600 0.2751868390303160 13.6760567785394000 0.0790131894515289 0.2129018538996340 0.3528051687311170 -0.5167241235999990 -0.3426130897999990 623.0813854294920000 -0.0463371476734471 -0.0193658239667276 0.0360176795352135 0.2540200942127030 0.2436959396914700 0.3520140896128160 0.2425123790224790 0.3511957605709010 6.9000 -3.5506909760191700 1.5526602134815100 -0.0943304028901626 -2.9421247932955700 0.2752209545293070 13.6093211488898000 0.0786608676481704 0.2121795819441540 0.3518889574742230 -0.5153224914999990 -0.3409640199999990 623.2676857990690000 -0.0459961738575260 -0.0199803111683018 0.0364344976742414 0.2537856583934640 0.2439560722283800 0.3520251774849390 0.2427651386674630 0.3512009011355710 6.9500 -3.5583126163775600 1.5526020149057900 -0.0942921123144045 -2.9389914328319900 0.2753515691454700 13.5428100674333000 0.0779421344638988 0.2110915623369280 0.3506842291517330 -0.5139248468999990 -0.3387569294000000 622.5609761540790000 -0.0457433233519513 -0.0205237734115054 0.0368221334566488 0.2536231934693360 0.2441748357317970 0.3520597600837600 0.2429750856894500 0.3512287239554590 7.0000 -3.5680878816507200 1.5530133533842900 -0.0943017174593706 -2.9359832599815000 0.2755758818605460 13.4543805926777000 0.0771913361894477 0.2100365582608000 0.3495568458876840 -0.5127062714000000 -0.3366979507999990 621.8012625888410000 -0.0454864266269576 -0.0210057998307541 0.0371526784598116 0.2534691522210610 0.2443341397733820 0.3520593458303050 0.2431271874034460 0.3512227788489440 7.0500 -3.5776626143312700 1.5533773732685500 -0.0943088609938562 -2.9329365972762200 0.2757690956839950 13.3708799811601000 0.0766655570019520 0.2092642206413030 0.3487929459992940 -0.5118054421000000 -0.3352774590000000 621.4061884641140000 -0.0452811490760098 -0.0214473671731834 0.0374671382968386 0.2533334126617360 0.2444291921463250 0.3520276238367480 0.2432140216482590 0.3511849630852110 7.1000 -3.5870840525757700 1.5534892326707400 -0.0942901081580729 -2.9295695393616800 0.2759243921106440 13.2841516495929000 0.0762895235964840 0.2087795609276780 0.3481997595072660 -0.5111244534000000 -0.3342396328000000 621.3717593475940000 -0.0449178748046230 -0.0219472469582805 0.0377703840202655 0.2531253340632130 0.2445036229963120 0.3519296185360590 0.2432831684651350 0.3510828033428140 7.1500 -3.5966734929365700 1.5537344428300800 -0.0942837674803623 -2.9260712264005500 0.2760434616291950 13.2020011142699000 0.0758866745225048 0.2084340681160120 0.3474959461310720 -0.5105446777000000 -0.3333214525000000 621.3783098397140000 -0.0442812152671488 -0.0225189147770388 0.0380279239857717 0.2528767229584040 0.2446042158565190 0.3518207774264680 0.2433847331763650 0.3509740237645980 7.2000 -3.6061463737299900 1.5537330422971500 -0.0942595851547546 -2.9221647938300800 0.2761302865845200 13.1176720782210000 0.0758008933752110 0.2084372130762530 0.3468621750293620 -0.5098388379999990 -0.3328764595000000 622.1696511469980000 -0.0433772768079544 -0.0231507616081037 0.0382316803998185 0.2525829688825620 0.2447388338096720 0.3517033593016250 0.2435264622096880 0.3508607900092230 7.2500 -3.6172285212370500 1.5539361153787500 -0.0942385965208437 -2.9173226222011400 0.2760859173465040 13.0279966221217000 0.0759354740654476 0.2087231082859950 0.3464118477648670 -0.5091423652000000 -0.3327886581999990 623.3541529341820000 -0.0425870151438778 -0.0238345696141753 0.0385263048756532 0.2522624999542180 0.2448122125186750 0.3515243779333680 0.2435993163084350 0.3506807605060320 7.3000 -3.6248748146630100 1.5535920848078700 -0.0941807289019533 -2.9131826773407100 0.2760427728078190 12.9532362568259000 0.0758998258751642 0.2088417081220880 0.3457202369960790 -0.5082490224000000 -0.3323837189000000 624.3220993799350000 -0.0420499660782547 -0.0244853674778749 0.0388924029700660 0.2519739078616070 0.2448103793776000 0.3513160572676040 0.2435882780027160 0.3504655466994990 7.3500 -3.6281669405652400 1.5523262979371500 -0.0940630335111695 -2.9102665861346000 0.2761137841299470 12.8877386078849000 0.0758424786074885 0.2089550398046970 0.3450958714357770 -0.5074440477999990 -0.3320487601000000 625.1833386417060000 -0.0416064468616196 -0.0250818510695210 0.0392472748097628 0.2517096047610700 0.2447519517379790 0.3510858057633840 0.2435187162189930 0.3502271980842160 7.4000 -3.6319706880591800 1.5511886699821700 -0.0939601105141832 -2.9073390452757000 0.2761849671450480 12.8172679266047000 0.0760105700355551 0.2092355273234630 0.3448193153364580 -0.5067368934000000 -0.3321189018999990 626.3796940178580000 -0.0412164446505129 -0.0257239869171289 0.0396642065699308 0.2513997263890890 0.2446870478399860 0.3508184342493370 0.2434380849145930 0.3499484585126690 7.4500 -3.6361300810207100 1.5498775696587200 -0.0938399735985484 -2.9041987041568400 0.2762649513311770 12.7416534271347000 0.0764459303547961 0.2097004047591710 0.3448892107568300 -0.5062637049999990 -0.3327043315000000 627.9013104260920000 -0.0407394622046592 -0.0263742527017879 0.0400532195685200 0.2510204999239190 0.2446311629080130 0.3505077705954340 0.2433681435770070 0.3496274369813860 7.5000 -3.6413102012857400 1.5491171333455400 -0.0937587514789519 -2.9012215966351200 0.2763076044049140 12.6707894567118000 0.0767901211095901 0.2100833062723400 0.3447637097493530 -0.5057133681000000 -0.3330766739000000 629.5302123329360000 -0.0403836189997975 -0.0269838470708551 0.0404542322963499 0.2506287256684990 0.2446426897946910 0.3502353548689760 0.2433630058366370 0.3493426838221440 7.5500 -3.6429284488614700 1.5472340860723100 -0.0936049990730804 -2.8990387013541600 0.2765143775157050 12.5937415785727000 0.0772302595078572 0.2105468594982560 0.3446852640912320 -0.5050045587000000 -0.3335881740000000 631.5814772452800000 -0.0400887665235369 -0.0275760060943420 0.0408637468976041 0.2502417920607550 0.2446381447032350 0.3499553919253410 0.2433398507511170 0.3490490473520220 7.6000 -3.6415774515680200 1.5444666963072000 -0.0934015236998554 -2.8976316342720700 0.2768826720989120 12.5104123820138000 0.0776774162094018 0.2110915921486320 0.3447759010623180 -0.5046486038999990 -0.3342638751000000 633.3374527663820000 -0.0397017752646344 -0.0281806885544526 0.0412467532813875 0.2498600992629510 0.2446521684639170 0.3496923687154020 0.2433368717663730 0.3487734255426240 7.6500 -3.6419947524743700 1.5420399062619400 -0.0932029831167112 -2.8954361095929200 0.2771096841121290 12.4234165801757000 0.0780495846720744 0.2115340908470660 0.3450116058977520 -0.5046280654999990 -0.3349774332000000 634.6225604383500000 -0.0393592770614283 -0.0287377246520244 0.0416050433569227 0.2494851374746500 0.2446490685073900 0.3494223812841400 0.2433169638991360 0.3484910023829000 7.7000 -3.6422330835287400 1.5395934346237800 -0.0929910677802022 -2.8929903074804600 0.2772576228028580 12.3371230813471000 0.0781866605569601 0.2117340205515500 0.3449858720910160 -0.5045600138000000 -0.3353413833000000 635.3326384740720000 -0.0390425778722102 -0.0292489804183969 0.0419328743898065 0.2490845698180290 0.2446240654285120 0.3491189715672950 0.2432759856711960 0.3481757144398850 7.7500 -3.6438986966077400 1.5376127594417200 -0.0928073232238873 -2.8903915354311800 0.2773744123432290 12.2538015453754000 0.0780306639892205 0.2117081512529020 0.3449503371750670 -0.5047459638000000 -0.3352890304999990 635.2447512488620000 -0.0387947121974889 -0.0296794196962101 0.0422160614005424 0.2486515686145710 0.2446319038622260 0.3488156690312870 0.2432695703877130 0.3478615909397150 7.8000 -3.6481827775040700 1.5360905094615900 -0.0926483895423095 -2.8868680521687300 0.2774129682750040 12.1597681505752000 0.0777181274604425 0.2115007549417290 0.3446709196698810 -0.5046993069999990 -0.3349040955000000 634.9864986148490000 -0.0386004400689410 -0.0300376930883555 0.0424564367208103 0.2482160154995170 0.2446364579965110 0.3485085177316830 0.2432616333538440 0.3475448353988830 7.8500 -3.6557757008641600 1.5353916708912900 -0.0925383104555221 -2.8821392173347900 0.2772523800622020 12.0649424725226000 0.0775105083361645 0.2113933913355480 0.3445263646282500 -0.5047488967000000 -0.3346783183000000 634.9128246717880000 -0.0385699920096820 -0.0304157590366838 0.0427802888576706 0.2477921136332770 0.2446271259074000 0.3482001756297120 0.2432334601924370 0.3472224758509060 7.9000 -3.6632034711458500 1.5347254368934500 -0.0924419695549686 -2.8776425917172200 0.2771375218202710 11.9705526038295000 0.0774081926186780 0.2113776158573320 0.3443588789734790 -0.5045465473000000 -0.3345664011000000 635.2152488962340000 -0.0384687670241981 -0.0308083933707864 0.0430883058191606 0.2473742410582440 0.2446420474947590 0.3479134181683280 0.2432308432286430 0.3469225536583910 7.9500 -3.6698673383425100 1.5334963335897000 -0.0922844516618693 -2.8725052041219200 0.2769343738926880 11.8744592291191000 0.0775371791020591 0.2114756524010330 0.3444688068872050 -0.5042771957999990 -0.3347089710000000 635.8778131908850000 -0.0382191565454950 -0.0312503847090833 0.0433799675986459 0.2469849106291560 0.2446614408897570 0.3476503512679720 0.2432342919113000 0.3466474676672020 8.0000 -3.6774135888345300 1.5324789148036200 -0.0921425322846974 -2.8672333084406100 0.2767245242664380 11.7729031662293000 0.0775754969696484 0.2113970628998590 0.3445112567971350 -0.5038173933999990 -0.3346483116000000 636.3811194857250000 -0.0379819332375004 -0.0316473692599367 0.0436365679050326 0.2466042993802610 0.2446590026396580 0.3473783356017780 0.2432175434245510 0.3463646256509210 8.0500 -3.6855554352083100 1.5319649244927000 -0.0920540429911193 -2.8626463464767000 0.2765899427582910 11.6756720656539000 0.0777005465795477 0.2112470118926920 0.3446655193972410 -0.5033389660000000 -0.3345851240000000 636.8833368798910000 -0.0377010876025194 -0.0319968014186889 0.0438329432059766 0.2462264167786110 0.2447118825705460 0.3471474525196100 0.2432600910050690 0.3461255844277170 8.1000 -3.6927334987750700 1.5313124580586700 -0.0919578455452731 -2.8584185594468000 0.2764841551697780 11.5829624417984000 0.0778035309165148 0.2110723995451890 0.3448255874466090 -0.5028718873999990 -0.3344576074999990 637.5257849777690000 -0.0372734534812204 -0.0323857426199125 0.0440046638370211 0.2458710609512640 0.2447826622586140 0.3469454284980780 0.2433224686200130 0.3459167563860380 8.1500 -3.7002705667796600 1.5311286258476400 -0.0919109341906256 -2.8548290584590400 0.2764260281569180 11.5009269270098000 0.0779567027719054 0.2110965360497900 0.3449256407390320 -0.5025462993999990 -0.3345776003000000 638.2418504853890000 -0.0367761351456194 -0.0328272685014731 0.0441942872226325 0.2454902370351010 0.2448753979242120 0.3467411382978540 0.2434055742204370 0.3457046861717830 8.2000 -3.7091010038253400 1.5312673481383500 -0.0918862965054688 -2.8508482234771100 0.2763244992585120 11.4148390380886000 0.0779760537966993 0.2109360050660020 0.3448192958920780 -0.5021499412000000 -0.3343735365000000 638.5630011453020000 -0.0363681846938404 -0.0332557896552353 0.0444082659361202 0.2451524227069410 0.2449718113488760 0.3465701930556520 0.2434900800102650 0.3455244266654500 8.2500 -3.7140482820193100 1.5305317115142300 -0.0918158149482178 -2.8480698950144800 0.2763999431000050 11.3343110744414000 0.0780064504187941 0.2107368894432190 0.3445666552133530 -0.5015042252000000 -0.3340769270000000 638.9034966050130000 -0.0360907014386575 -0.0336524800343376 0.0446466917958435 0.2448189271964060 0.2450031080625840 0.3463565071915430 0.2435069335560830 0.3452997738248400 8.3000 -3.7140139243887200 1.5285902294647400 -0.0916779845660045 -2.8467811070681300 0.2766892530696140 11.2573986014576000 0.0781985317930050 0.2107337676178980 0.3444622323405860 -0.5008686902000000 -0.3341552841000000 639.6290848801480000 -0.0358195739828726 -0.0340345242237886 0.0448749166518763 0.2445171652524710 0.2449860888618540 0.3461312292165100 0.2434756123382860 0.3450637881705460 8.3500 -3.7114703015462300 1.5256421709616300 -0.0914478130455275 -2.8450614511057700 0.2769155718638500 11.1747698165946000 0.0783600584936493 0.2106851317846600 0.3444622836932940 -0.5004233551000000 -0.3342017217000000 640.0856651287340000 -0.0356130336449998 -0.0343941624961300 0.0451093146140605 0.2442123253962000 0.2449325267116400 0.3458780168162870 0.2434066754880090 0.3447991727767690 8.4000 -3.7082830391194300 1.5225063853583300 -0.0911956646746712 -2.8432693606855900 0.2771079772940120 11.0945831208501000 0.0784305453740230 0.2104849876224390 0.3442831869400420 -0.4997264807999990 -0.3340303557000000 640.4303074276040000 -0.0355736135510081 -0.0347009071062986 0.0453645507523860 0.2439038980736560 0.2448559115163290 0.3456060313420710 0.2433128201324720 0.3445144988768120 8.4500 -3.7049206213043400 1.5194919019909000 -0.0909545664626330 -2.8417743096472500 0.2773015338814990 11.0161770842056000 0.0784825426125472 0.2101966937645880 0.3440762258392920 -0.4988840573000000 -0.3338855561999990 640.7795652736930000 -0.0356648562663716 -0.0349304222421780 0.0456043383323840 0.2435984707253290 0.2447591965319550 0.3453219935461500 0.2431995541106700 0.3442183000064750 8.5000 -3.7010141717514300 1.5165278670288200 -0.0907291419197284 -2.8408449452909800 0.2775584946858110 10.9410849981403000 0.0786514163539941 0.2099524799482810 0.3440355609566650 -0.4980665561000000 -0.3338796224000000 641.2327259270890000 -0.0358684490934794 -0.0351637024852086 0.0458926622913311 0.2432914097851960 0.2446919251334120 0.3450577463277180 0.2431123386884320 0.3439394122484760 8.5500 -3.6965465396070300 1.5136121575212800 -0.0905075655861555 -2.8401997946353300 0.2777992933813600 10.8770376816639000 0.0788550522753079 0.2097731590292650 0.3441366843628410 -0.4973828305999990 -0.3340424564999990 641.7620008326820000 -0.0361401647683447 -0.0353635019716198 0.0461789582399479 0.2429902198287920 0.2446232704701370 0.3447967392362500 0.2430237198383110 0.3436637533061860 8.6000 -3.6933147418121300 1.5112356832881900 -0.0903308986158630 -2.8395517844872900 0.2780107886648850 10.8173564892716000 0.0789683970963707 0.2096043108247190 0.3443663363448500 -0.4970214427999990 -0.3342115869000000 641.9999459809560000 -0.0364169614142221 -0.0355574392394532 0.0464625037327467 0.2427341708969990 0.2445391879291560 0.3445566602956690 0.2429196936748670 0.3434091660048470 8.6500 -3.6896393554115200 1.5087338522090600 -0.0901367618072944 -2.8385530340471700 0.2781364008711620 10.7613312805042000 0.0790664029439188 0.2094140861765260 0.3445386090207450 -0.4965476999999990 -0.3343345579000000 642.2473643871060000 -0.0367315795879219 -0.0357436716518592 0.0467547452450055 0.2424760563379760 0.2444512767909280 0.3443124520285790 0.2428111087498260 0.3431499270428840 8.7000 -3.6849350348832800 1.5061538479566000 -0.0899492419902969 -2.8380852740855600 0.2783361012691960 10.7058026852738000 0.0789195923697523 0.2090151408808270 0.3445056929825270 -0.4960329186999990 -0.3341103154999990 641.9365079798560000 -0.0370231034371418 -0.0359049928884039 0.0470157062695128 0.2422199529833410 0.2443810987307190 0.3440822969001540 0.2427224927976460 0.3429062760189080 8.7500 -3.6790176168598900 1.5033115365872300 -0.0897477312456605 -2.8379169252133800 0.2785657620076420 10.6529959972119000 0.0788491074387327 0.2086915772411140 0.3444249446879340 -0.4953892791000000 -0.3340215921999990 641.8245059457760000 -0.0373014864081716 -0.0360682453393203 0.0472730727805588 0.2419608430937880 0.2443156864241200 0.3438534633002060 0.2426388198060910 0.3426640431494810 8.8000 -3.6738638629016700 1.5005752426618300 -0.0895389610294034 -2.8370822916640400 0.2786732111668410 10.6034331780535000 0.0787450198680787 0.2084641387818590 0.3443237825756450 -0.4949087479000000 -0.3340055597000000 641.5943364644630000 -0.0376519917932829 -0.0361794899204876 0.0475134113735110 0.2416428157709140 0.2442382524293530 0.3435746998302410 0.2425440240236250 0.3423723908309030 8.8500 -3.6702332422763000 1.4984195948599000 -0.0893823706528591 -2.8363338046513800 0.2787999153849470 10.5533518304072000 0.0785393402202086 0.2081341212511240 0.3441242633173210 -0.4944914154000000 -0.3337494375999990 641.1162318786930000 -0.0379432681198694 -0.0362594075696263 0.0477018216567978 0.2413042152812710 0.2441638323753070 0.3432837038845670 0.2424558828033130 0.3420710151685520 8.9000 -3.6663944114543400 1.4962504748400600 -0.0892217554885038 -2.8353984876229800 0.2788780725768000 10.5044046073523000 0.0782402339553087 0.2076708036514600 0.3437943041050670 -0.4940152870000000 -0.3332411676000000 640.3159874397300000 -0.0381582257847086 -0.0363660312376523 0.0478829004673776 0.2409994790330260 0.2441117374348100 0.3430324900758400 0.2423906463349560 0.3418098511232050 8.9500 -3.6613281712120900 1.4936288345380800 -0.0890333651278736 -2.8346373306257200 0.2790256921152320 10.4459490713722000 0.0778622211942156 0.2070550511873120 0.3433784112286330 -0.4934402694999990 -0.3325334254000000 639.2004886201900000 -0.0383181297689560 -0.0364803705096302 0.0480485893390548 0.2407037171519900 0.2440568159279740 0.3427856602188690 0.2423236484754020 0.3415538465033230 9.0000 -3.6576638824254300 1.4913881139328600 -0.0888677819789125 -2.8335273400823000 0.2791016661893740 10.3906172753920000 0.0776542335480457 0.2065488901682770 0.3429822661716800 -0.4926009827000000 -0.3320362795999990 638.6262762005310000 -0.0383816466094626 -0.0365876325510213 0.0481686836697394 0.2403924106709280 0.2440212363566270 0.3425417856279680 0.2422794769173910 0.3413031732104830 9.0500 -3.6523883244329100 1.4886711182327600 -0.0886707904896492 -2.8328950694503100 0.2792585696986440 10.3353348528525000 0.0775583447524663 0.2061542595263360 0.3425805660930600 -0.4917003675000000 -0.3316515037000000 638.3332092742640000 -0.0383608251593725 -0.0367138459456531 0.0482711161385959 0.2400550874567110 0.2439649473303090 0.3422650150683380 0.2422157729378000 0.3410204182651020 9.1000 -3.6469034310848400 1.4857579151255000 -0.0884544607030383 -2.8319513328365200 0.2793852639411170 10.2783570187741000 0.0775185193680708 0.2057931150008280 0.3421355420399910 -0.4907236253999990 -0.3312501501999990 638.2089094791710000 -0.0383289185945528 -0.0368598866361707 0.0483864441436829 0.2397048448197640 0.2439143073829300 0.3419833358164720 0.2421567899794590 0.3407320407053370 9.1500 -3.6415684868140000 1.4832496750290600 -0.0882801776254173 -2.8316984719199600 0.2795706157440860 10.2292965524120000 0.0774127740445665 0.2054313832171680 0.3414856316940290 -0.4895528027000000 -0.3307385072999990 638.1316644967620000 -0.0383259229823866 -0.0369360409269914 0.0484516171928708 0.2393922545039400 0.2438834516974920 0.3417422852506880 0.2421211728061710 0.3404868776289550 9.2000 -3.6358618030125400 1.4806503766183400 -0.0880951372082101 -2.8313584177433000 0.2797124921374630 10.1831224953033000 0.0774343593906956 0.2051768377633560 0.3409281682670690 -0.4883293713999990 -0.3303773998999990 638.3054168111270000 -0.0382826188349576 -0.0370625470105356 0.0485450115802021 0.2391193626346570 0.2438527968513160 0.3415292902797860 0.2420836969158860 0.3402684027341760 9.2500 -3.6306578720600800 1.4782969192214200 -0.0879297532833681 -2.8310842221739700 0.2798305283546610 10.1386633260520000 0.0775605524907102 0.2049956139727700 0.3405222790283220 -0.4872095866999990 -0.3302475446000000 638.6315712994390000 -0.0381114855795094 -0.0372012360607918 0.0485973441461446 0.2388731886871020 0.2438147533507740 0.3413298027202470 0.2420418117766810 0.3400656391370380 9.3000 -3.6285131734070000 1.4767666345109300 -0.0878221281613636 -2.8302203227721400 0.2798692303064070 10.0895660088383000 0.0776395140424447 0.2048346537755090 0.3400668564641560 -0.4862067884999990 -0.3301435334999990 638.7415782733240000 -0.0378660975262286 -0.0373251358359453 0.0486064193354909 0.2386364124246430 0.2437692904447910 0.3411316524435410 0.2419955524202410 0.3398664218867200 9.3500 -3.6256188748134900 1.4751848179024900 -0.0877223903085246 -2.8298248359189200 0.2799692849142380 10.0438013343963000 0.0778209538599002 0.2047301823165290 0.3397316640919970 -0.4852416660000000 -0.3302405800000000 639.1501627649190000 -0.0374677809083872 -0.0374536957406505 0.0485573801786802 0.2384073926144210 0.2437168969682260 0.3409340269334050 0.2419464858804530 0.3396707035985100 9.4000 -3.6243625074887200 1.4739965848952700 -0.0876414297747248 -2.8287909257367600 0.2799609771275360 9.9997380408693000 0.0779686763238270 0.2046643268601000 0.3394323035667090 -0.4845466159999990 -0.3303758259999990 639.3680439436500000 -0.0369612331478237 -0.0375900670503463 0.0484711915534354 0.2381863894127830 0.2436683681926270 0.3407448161882370 0.2419038545583080 0.3394852440853140 9.4500 -3.6252296417523400 1.4734590078938600 -0.0876033217895421 -2.8272924974842200 0.2798661246911100 9.9568486646732500 0.0779673334390103 0.2045033623618200 0.3389628023810330 -0.4839306506000000 -0.3302964102000000 639.2690767054230000 -0.0364576834275160 -0.0377048505377346 0.0483671689776835 0.2379847663807150 0.2436345469237430 0.3405797138468780 0.2418771381549220 0.3393247691980330 9.5000 -3.6291890753648300 1.4740755286446200 -0.0876536115044512 -2.8257298517925400 0.2797180741694120 9.9176348490441000 0.0778646135692573 0.2042469463890010 0.3383567831442550 -0.4833098198999990 -0.3299349122999990 638.9393968115410000 -0.0360094055217468 -0.0378268634922470 0.0482916609998345 0.2377938320589950 0.2436370915964900 0.3404481443140760 0.2418846731002860 0.3391962583020840 9.5500 -3.6337178261922700 1.4747344076730900 -0.0876994165450255 -2.8238293717526200 0.2795154439863610 9.8762867582252200 0.0778935614381431 0.2040196173013390 0.3378878217732090 -0.4826367426000000 -0.3297270065999990 638.8379816021620000 -0.0355937969740863 -0.0379432680192283 0.0482241132657414 0.2375845091330840 0.2436639206360030 0.3403211794756780 0.2419159062574670 0.3390718282021970 9.6000 -3.6372920186273100 1.4750027616986600 -0.0877156829119312 -2.8220326243203100 0.2793515953660900 9.8329346847442500 0.0780269918113046 0.2038442541730860 0.3375404661522670 -0.4820215192000000 -0.3296752041000000 638.9863066040760000 -0.0351487918627335 -0.0380594977772842 0.0481446815238407 0.2373929478567240 0.2436564015824890 0.3401820890702980 0.2419132110620430 0.3389357068508040 9.6500 -3.6367948684118700 1.4742636589705600 -0.0876736231252098 -2.8214265714996900 0.2793685132820200 9.7924789130203500 0.0782053274252555 0.2037778824268180 0.3372390668492160 -0.4814860798999990 -0.3297891102000000 639.3612080601100000 -0.0346375357671435 -0.0381940456533048 0.0480544639188358 0.2371821835733990 0.2436178284835270 0.3400074036836180 0.2418796687918110 0.3387641692674740 9.7000 -3.6334548250800900 1.4726632353229400 -0.0875733072615184 -2.8215704529991900 0.2795224877396360 9.7505101759597900 0.0784877222346124 0.2037844236399530 0.3369955057265060 -0.4808777315000000 -0.3300690017999990 640.0415310612710000 -0.0341481526578314 -0.0383016311484454 0.0479496318233520 0.2369603650516700 0.2435020991748550 0.3397697557287610 0.2417693290206470 0.3385300918094500 9.7500 -3.6278862713021700 1.4705904486300700 -0.0874562913467633 -2.8226770880444000 0.2798372238118730 9.7090645858519900 0.0787597819413020 0.2037594985799430 0.3367005457769100 -0.4802290482000000 -0.3303649006000000 640.7337323417640000 -0.0337597796762549 -0.0383814737720275 0.0478613048148427 0.2367264661639160 0.2433884787054420 0.3395252145997480 0.2416599902436130 0.3382882951965650 9.8000 -3.6219089832604400 1.4683874874746500 -0.0873327347322782 -2.8239198402529100 0.2801860702763330 9.6657189764286600 0.0790526515238753 0.2037099468178050 0.3364818228030130 -0.4796036269999990 -0.3306238406000000 641.2944362338770000 -0.0332430776964065 -0.0384847678284701 0.0477405688480982 0.2364998862831830 0.2433323484556730 0.3393270222321110 0.2416101447882870 0.3380941559337810 9.8500 -3.6141066294235500 1.4657340654784900 -0.0871812501686083 -2.8256844419057100 0.2806116869267060 9.6262800923935100 0.0794070061916134 0.2037263971456380 0.3362471697536570 -0.4789140136999990 -0.3308819422000000 641.9790142517690000 -0.0326936020777195 -0.0386379526119478 0.0476506466152012 0.2363060001928540 0.2432864522815560 0.3391589945599130 0.2415679302597400 0.3379283809583320 9.9000 -3.6046110470587000 1.4625537483932500 -0.0869909066222028 -2.8275892122588000 0.2810579452208420 9.5888786116330800 0.0798387153955572 0.2038659047951920 0.3361687670176440 -0.4783942108000000 -0.3313416531000000 642.7801845789930000 -0.0320028415491399 -0.0388303475596501 0.0475378734149687 0.2361403438202960 0.2432438818702880 0.3390130499654760 0.2415298062245280 0.3377853005600240 9.9500 -3.5947824200752900 1.4592781904090000 -0.0867955772967101 -2.8295373839007700 0.2815176089652910 9.5508587467113700 0.0802364187522683 0.2039584653400550 0.3360978547766230 -0.4778683249999990 -0.3317447512999990 643.6959838189770000 -0.0312406042225414 -0.0390147022607702 0.0473891211033721 0.2360009544070160 0.2431903585115490 0.3388775604167350 0.2414825704864920 0.3376540867956230 10.000 -3.5847384302061900 1.4558870236650600 -0.0865869101137698 -2.8314179611693300 0.2819614748639540 9.5125955757678000 0.0806523182496776 0.2040163247484210 0.3361158872481720 -0.4773499893000000 -0.3321858028999990 644.7099922203470000 -0.0304518098784769 -0.0391893111651246 0.0472212949777613 0.2358942564213900 0.2431253208902690 0.3387565820328770 0.2414245587622760 0.3375380242078810 """)
[docs]class CauzziEtAl2014NoSOF(CauzziEtAl2014): """ Returns the Cauzzi et al (GMPE) for the case when no style-of-faulting is input. This modifies both the expected ground motion as well as the inter-event (and thus total) standard deviations. """ #: Required rupture parameters are magnitude REQUIRES_RUPTURE_PARAMETERS = set(('mag',)) def _compute_mean(self, C, rup, dists, sites, imt): """ Returns the mean ground motion acceleration and velocity """ mean = (self._get_magnitude_scaling_term(C, rup.mag) + self._get_distance_scaling_term(C, rup.mag, dists.rrup) + self._get_site_amplification_term(C, sites.vs30)) # convert from cm/s**2 to g for SA and from m/s**2 to g for PGA (PGV # is already in cm/s) and also convert from base 10 to base e. if isinstance(imt, PGA): mean = np.log((10 ** mean) * ((2 * np.pi / 0.01) ** 2) * 1e-2 / g) elif isinstance(imt, SA): mean = np.log((10 ** mean) * ((2 * np.pi / imt.period) ** 2) * 1e-2 / g) else: mean = np.log(10 ** mean) return mean def _get_stddevs(self, C, stddev_types, num_sites): """ Returns the standard deviation terms assuming no style-of-faulting is known """ stddevs = [] for stddev_type in stddev_types: assert stddev_type in self.DEFINED_FOR_STANDARD_DEVIATION_TYPES if stddev_type == const.StdDev.TOTAL: stddevs.append(np.log(10.0 ** C['s']) + np.zeros(num_sites)) elif stddev_type == const.StdDev.INTRA_EVENT: stddevs.append(np.log(10.0 ** C['f']) + np.zeros(num_sites)) elif stddev_type == const.StdDev.INTER_EVENT: stddevs.append(np.log(10.0 ** C["t"]) + np.zeros(num_sites)) return stddevs
[docs]class CauzziEtAl2014FixedVs30(CauzziEtAl2014): """ Implements the Cauzzi et al (2014) model for the case in which the reference Vs30 in the site amplification term is fixed at 800 m/s """ def _get_site_amplification_term(self, C, vs30): """ Returns the site amplification scaling term assuming period dependent reference vs30 """ return C["bV800"] * np.log10(vs30 / 800.)
[docs]class CauzziEtAl2014FixedVs30NoSOF(CauzziEtAl2014NoSOF): """ Implements the Cauzzi et al (2014) model for the case in which the reference Vs30 in the site amplification term is fixed at 800 m/s """ def _get_site_amplification_term(self, C, vs30): """ Returns the site amplification scaling term assuming the reference Vs30 is fixed at 800 m/s """ return C["bV800"] * np.log10(vs30 / 800.)
[docs]class CauzziEtAl2014Eurocode8(CauzziEtAl2014): """ Implmements the Cauzzi et al. (2014) GMPE for the case in which the Eurocode 8 site classification is preferred """ def _get_site_amplification_term(self, C, vs30): """ Returns the site amplification term on the basis of Eurocode 8 site class """ s_b, s_c, s_d = self._get_site_dummy_variables(vs30) return (C["sB"] * s_b) + (C["sC"] * s_c) + (C["sD"] * s_d) def _get_site_dummy_variables(self, vs30): """ Returns the Eurocode 8 site class dummy variable """ s_b = np.zeros_like(vs30) s_c = np.zeros_like(vs30) s_d = np.zeros_like(vs30) s_b[np.logical_and(vs30 >= 360., vs30 < 800.)] = 1.0 s_c[np.logical_and(vs30 >= 180., vs30 < 360.)] = 1.0 s_d[vs30 < 180] = 1.0 return s_b, s_c, s_d
[docs]class CauzziEtAl2014Eurocode8NoSOF(CauzziEtAl2014NoSOF): """ Implmements the Cauzzi et al. (2014) GMPE for the case in which the Eurocode 8 site classification is preferred and style of faulting is not specified. """ def _get_site_amplification_term(self, C, vs30): """ Returns the site amplification term on the basis of Eurocode 8 site class """ s_b, s_c, s_d = self._get_site_dummy_variables(vs30) return (C["sB"] * s_b) + (C["sC"] * s_c) + (C["sD"] * s_d) def _get_site_dummy_variables(self, vs30): """ Returns the Eurocode 8 site class dummy variable """ s_b = np.zeros_like(vs30) s_c = np.zeros_like(vs30) s_d = np.zeros_like(vs30) s_b[np.logical_and(vs30 >= 360., vs30 < 800.)] = 1.0 s_c[np.logical_and(vs30 >= 180., vs30 < 360.)] = 1.0 s_d[vs30 < 180.] = 1.0 return s_b, s_c, s_d