# -*- coding: utf-8 -*-
# vim: tabstop=4 shiftwidth=4 softtabstop=4
#
# Copyright (C) 2025 GEM Foundation
#
# OpenQuake is free software: you can redistribute it and/or modify it
# under the terms of the GNU Affero General Public License as published
# by the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# OpenQuake is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Affero General Public License for more details.
#
# You should have received a copy of the GNU Affero General Public License
# along with OpenQuake. If not, see <http://www.gnu.org/licenses/>.
"""
Module exports :class:`HassaniAtkinson2018`
"""
import re
import pathlib
import numpy as np
from openquake.hazardlib import const
from openquake.hazardlib.imt import PGA, PGV, SA
from openquake.hazardlib.gsim.base import CoeffsTable, GMPE
from openquake.hazardlib.gsim.boore_2014 import BooreEtAl2014
from openquake.hazardlib.gsim.yenier_atkinson_2015 import (
get_fs_SeyhanStewart2014)
TFP = pathlib.Path(__file__).parent.absolute()
def _get_pseudo_depth(mag):
""" Pseudo depth as defined in eq. 17 """
return 10**(-0.405+0.235*mag)
def _get_geometrical_attenuation(rrup, r):
"""
Compute the geometrical attenuation of Fourier amplitudes. See equation
15 at page 5 of ha18.
"""
rt = 50.0
b1 = -1.3
b2 = -0.5
z = np.zeros_like(rrup)
# Direct wave spreading
idx = r <= rt
z[idx] = r[idx]**b1
# Surface-wave spreading
idx = r > rt
z[idx] = rt**b1 * (r[idx]/rt)**b2
return z
def _geometrical_spreading(C, rrup, mag):
""" Geometrical spreading term as per eq. 15 """
h = _get_pseudo_depth(mag)
r = (rrup**2 + h**2)**0.5
z = _get_geometrical_attenuation(rrup, r)
rref = (1 + h**2)**0.5
return np.log10(z) + (C['b3'] + C['b4'] * mag) * np.log10(r/rref)
def _source_scaling(C, mag, d_sigma):
""" Source scaling as per eq. 2 """
return _magnitude_scaling(C, mag) + _stress_scaling(C, d_sigma, mag)
def _magnitude_scaling(C, mag):
""" Magnitude scaling as defined in eq. 3 """
fm = np.zeros_like(mag)
dff = (mag - C['Mh'])
idx = mag <= C['Mh']
fm[idx] = C['e0'] + C['e1'] * dff[idx] + C['e2'] * dff[idx]**2
idx = mag > C['Mh']
fm[idx] = C['e0'] + C['e3'] * dff[idx]
return fm
def _stress_scaling(C, d_sigma, mag):
""" Stress scaling as defined in eq. 3 """
# e_{\Delta,\sigma_1}
keys = [f'g1_{i}' for i in range(0, 5)]
e_d_sigma_1 = sum(C[k]*mag**(i) for i, k in enumerate(keys))
# e_{\Delta,\sigma_2}
keys = [f'g2_{i}' for i in range(0, 5)]
e_d_sigma_2 = sum(C[k]*mag**(i) for i, k in enumerate(keys))
# e_{\Delta,\sigma_0}
e_d_sigma_0 = -2 * e_d_sigma_1 - 4 * e_d_sigma_2
# scaling factor
l_d_sigma = np.log10(d_sigma)
return e_d_sigma_0 + e_d_sigma_1 * l_d_sigma + e_d_sigma_2 * l_d_sigma**2
def _kappa_scaling(C, kappa0, d_sigma, mag):
""" Stress scaling as defined in eq. 3 """
ld = np.log10(d_sigma)
lm = np.log10(mag)
lk = np.log10(kappa0)
p_1_0 = C['d1_0_0'] + C['d1_0_1'] * ld + C['d1_0_2'] * ld**2
p_1_1 = C['d1_1_0'] + C['d1_1_1'] * ld + C['d1_1_2'] * ld**2
p_1_2 = C['d1_2_0'] + C['d1_2_1'] * ld + C['d1_2_2'] * ld**2
p_1_3 = C['d1_3_0'] + C['d1_3_1'] * ld + C['d1_3_2'] * ld**2
e_k_1 = (p_1_0 + p_1_1 * lm + p_1_2 * lm**2 + p_1_3 * lm**3)
p_2_0 = C['d2_0_0'] + C['d2_0_1'] * ld + C['d2_0_2'] * ld**2
p_2_1 = C['d2_1_0'] + C['d2_1_1'] * ld + C['d2_1_2'] * ld**2
p_2_2 = C['d2_2_0'] + C['d2_2_1'] * ld + C['d2_2_2'] * ld**2
p_2_3 = C['d2_3_0'] + C['d2_3_1'] * ld + C['d2_3_2'] * ld**2
e_k_2 = (p_2_0 + p_2_1 * lm + p_2_2 * lm**2 + p_2_3 * lm**3)
p_3_0 = C['d3_0_0'] + C['d3_0_1'] * ld + C['d3_0_2'] * ld**2
p_3_1 = C['d3_1_0'] + C['d3_1_1'] * ld + C['d3_1_2'] * ld**2
p_3_2 = C['d3_2_0'] + C['d3_2_1'] * ld + C['d3_2_2'] * ld**2
p_3_3 = C['d3_3_0'] + C['d3_3_1'] * ld + C['d3_3_2'] * ld**2
e_k_3 = (p_3_0 + p_3_1 * lm + p_3_2 * lm**2 + p_3_3 * lm**3)
p_4_0 = C['d4_0_0'] + C['d4_0_1'] * ld + C['d4_0_2'] * ld**2
p_4_1 = C['d4_1_0'] + C['d4_1_1'] * ld + C['d4_1_2'] * ld**2
p_4_2 = C['d4_2_0'] + C['d4_2_1'] * ld + C['d4_2_2'] * ld**2
p_4_3 = C['d4_3_0'] + C['d4_3_1'] * ld + C['d4_3_2'] * ld**2
e_k_4 = (p_4_0 + p_4_1 * lm + p_4_2 * lm**2 + p_4_3 * lm**3)
e_k_0 = 3 * e_k_1 - 9 * e_k_2 + 27 * e_k_3 - 81 * e_k_4
out = e_k_0 + e_k_1 * lk + e_k_2 * lk**2 + e_k_3 * lk**3 + e_k_4 * lk**4
return out
def _anelastic_attenuation(gamma, rrup):
""" Anelastic attenuation term """
return gamma * rrup
[docs]def get_gm_rock(C, ctx, kappa0, d_sigma, CAE):
""" Compute ground-motion on bedrock """
gm = (_source_scaling(C, ctx.mag, d_sigma) +
_kappa_scaling(C, kappa0, d_sigma, ctx.mag) +
_geometrical_spreading(C, ctx.rrup, ctx.mag)
)
if CAE is not None:
gm += _anelastic_attenuation(CAE, ctx.rrup)
return gm
[docs]class HassaniAtkinson2018(GMPE):
"""
Implements the model of Hassani and Atkinson (2018) as described in the
BSSA paper titled "Adjustable Generic Ground-Motion Prediction Equation
Based on Equivalent Point-Source Simulations: Accounting for Kappa
Effects" (doi: 10.1785/0120170333).
:param d_sigma:
Stress frop [bar]
:param kappa0:
Kappa_0 [s]
:param gamma_fle:
The name of the file containing the anelastic attenuation term.
"""
#: Supported tectonic region type is active shallow crust, see title!
DEFINED_FOR_TECTONIC_REGION_TYPE = const.TRT.ACTIVE_SHALLOW_CRUST
#: Supported intensity measure types are spectral acceleration, peak
#: ground velocity and peak ground acceleration, see tables 4
#: pages 1036
DEFINED_FOR_INTENSITY_MEASURE_TYPES = {PGA, PGV, SA}
#: Supported intensity measure component is orientation-independent
#: average horizontal :attr:`~openquake.hazardlib.const.IMC.RotD50`,
#: see page 1025.
DEFINED_FOR_INTENSITY_MEASURE_COMPONENT = const.IMC.GEOMETRIC_MEAN
#: Supported standard deviation types are inter-event, intra-event
#: and total, see paragraph "Equations for standard deviations", page
#: 1046.
DEFINED_FOR_STANDARD_DEVIATION_TYPES = {const.StdDev.TOTAL}
#: Required site parameter is Vs30
REQUIRES_SITES_PARAMETERS = {'vs30'}
#: Required rupture parameters are magnitude and hypocenter depth
REQUIRES_RUPTURE_PARAMETERS = {'mag', 'hypo_depth'}
#: Required distance measures is Rrup
REQUIRES_DISTANCES = {'rrup'}
def __init__(self, d_sigma, kappa0, gamma_fle=None):
self.d_sigma = d_sigma
self.kappa0 = kappa0
# Read the file and create the coefficient table for the anelastic
# attenuation term
if gamma_fle is not None:
with open(gamma_fle, 'rb') as fle:
data = fle.read().decode('utf-8')
self.CAE = CoeffsTable(sa_damping=5, table=data)
else:
self.CAE = None
# Boore et al. coefficients, used in the site model.
self.BEA14 = BooreEtAl2014.COEFFS
[docs] def compute(self, ctx: np.recarray, imts, mean, sig, tau, phi):
""" Compute mean """
# Compute PGA on rock. This is used for computing the soil term.
imt = PGA()
C = self.COEFFS[imt]
gamma = None
if self.CAE is not None:
gamma = self.CAE[imt]['gamma']
pga_rock = np.exp(get_gm_rock(C, ctx, self.kappa0, self.d_sigma, gamma))
# Compute ground-motion on soil.
for m, imt in enumerate(imts):
# Get the mean
C = self.COEFFS[imt]
if self.CAE is not None:
gamma = self.CAE[imt]['gamma']
mean[m] = get_gm_rock(C, ctx, self.kappa0, self.d_sigma, gamma)
# Site term
TMP = self.BEA14[imt]
mean[m] += get_fs_SeyhanStewart2014(TMP, imt, pga_rock, ctx.vs30)
# To natural logarithm and [g]
mean[m] /= np.log10(np.exp(1))
if re.search('SA|PGA', str(imt)):
mean[m] = np.log(np.exp(mean[m]) / 980.665)
COEFFS = CoeffsTable(sa_damping=5, table="""\
IMT Mh e0 e1 e2 e3 b3 b4 g1_0 g1_1 g1_2 g1_3 g1_4 g2_0 g2_1 g2_2 g2_3 g2_4 d1_0_0 d1_0_1 d1_0_2 d1_1_0 d1_1_1 d1_1_2 d1_2_0 d1_2_1 d1_2_2 d1_3_0 d1_3_1 d1_3_2 d2_0_0 d2_0_1 d2_0_2 d2_1_0 d2_1_1 d2_1_2 d2_2_0 d2_2_1 d2_2_2 d2_3_0 d2_3_1 d2_3_2 d3_0_0 d3_0_1 d3_0_2 d3_1_0 d3_1_1 d3_1_2 d3_2_0 d3_2_1 d3_2_2 d3_3_0 d3_3_1 d3_3_2 d4_0_0 d4_0_1 d4_0_2 d4_1_0 d4_1_1 d4_1_2 d4_2_0 d4_2_1 d4_2_2 d4_3_0 d4_3_1 d4_3_2
PGV 8.8 3.3020832702 0.4389691965 -0.0167235139 0.4146350561 -0.4414468351 0.0394123571 0.4442506135 0.0569722379 0.0036437698 -0.0040458203 0.0003530051 -0.0942034933 0.0533434608 -0.0141633591 0.0019185922 -0.0001002408 -40.8261642212 40.1130392571 -5.1021285604 155.2523126945 -182.3686804039 27.0333494027 -196.6717542861 258.2107952699 -42.3653301122 82.3574790678 -116.4544082139 20.5376093143 -31.5589270744 36.8747740244 -5.7395492329 125.2777710877 -161.3065178224 27.8740449631 -163.4368685527 223.2664465831 -41.3918330682 69.9031574762 -99.2526602356 19.3502214642 -10.376280011 13.0514009303 -2.256508542 41.8677381569 -56.0550276459 10.5303317116 -55.1925939231 76.6960142436 -15.2384616501 23.7760701622 -33.8327130594 6.9969744833 -1.2294334314 1.6040511763 -0.296017448 4.9934816807 -6.816710646 1.3502018879 -6.6090820328 9.2624147354 -1.9246297215 2.8547014114 -4.0664231392 0.87437342
PGA 7.4 4.3737580679 0.330007551 -0.0093950747 0.3015333317 -0.456482013 0.0382499085 0.7096633248 -0.0383918613 0.0130808215 -0.0011379644 0.000023783 -0.0323847716 0.0190432118 -0.0045166161 0.0003745764 -0.000009338 -51.0987175177 32.5787964105 -0.6027113079 193.3769389098 -154.5366560363 8.9701410121 -246.3770135374 224.3093400193 -19.0560387445 103.8674068929 -102.8628006083 10.7674035794 -44.562063396 38.7082792804 -3.9223740867 176.7251880414 -170.7934709018 21.0155290004 -230.9326523974 237.8661600889 -33.0837191768 99.1364594808 -106.2748859661 16.0786467012 -16.4224378175 15.8479312655 -2.16864161 65.9977373822 -67.9730386386 10.3855144404 -87.0701819028 93.033434856 -15.3297368832 37.6386624177 -41.09486034 7.1483955895 -2.1340416665 2.1508934311 -0.3370120058 8.6187576308 -9.0895962533 1.542770572 -11.4166836197 12.3244901435 -2.2132358804 4.9500459039 -5.4101159109 1.0122830622
0.01 7.15 4.6451420678 0.3440412764 -0.0081551718 0.3056467387 -0.432123999 0.0352795984 1.4724155428 -0.541245476 0.1337792132 -0.0136064606 0.0004916184 -0.2222773523 0.1462761965 -0.0353526956 0.0035796845 -0.0001301312 -41.0107982823 20.9848341026 4.3329321558 143.7259148271 -112.5739642323 -8.7987572623 -185.5027172857 174.2625858466 2.1456980236 78.7931994598 -83.1287030049 2.3805087274 -35.565129626 27.7977763589 0.5050803946 130.2847004071 -131.1409418798 4.976748558 -173.6461342678 190.4355184412 -13.8639022128 75.4765505105 -87.5347798957 8.4534629675 -13.145746842 11.6016707688 -0.5525871582 48.0682184483 -52.4511024164 4.4788312726 -64.7659436448 74.3870319334 -8.2074496141 28.3889668495 -33.7045319011 4.3105214888 -1.7158836168 1.5762228316 -0.1320599394 6.2060720835 -6.9773140963 0.7864628056 -8.3878736064 9.7767580547 -1.2952752002 3.688341554 -4.3974049937 0.6448738171
0.0125892541 7.4 4.6977535858 0.3384826092 -0.0082478225 0.3049000591 -0.4334631181 0.0359538028 1.5542238909 -0.5616075335 0.1313999067 -0.0127660208 0.0004433715 -0.2647504161 0.1652033142 -0.0379324038 0.0036832174 -0.000129329 -36.8285222558 19.5692518096 6.1259093932 133.7996869212 -108.9284407922 -14.5794277424 -175.1080288423 171.4375896683 8.4533260504 74.8445969118 -82.5435219825 0.0547346719 -31.1722799717 25.351333991 2.5316521888 118.7523252911 -123.338463955 -1.8054418993 -161.1733562416 182.1538053597 -6.1941164726 70.6651512206 -84.6018148804 5.5292344598 -11.2811780794 10.2045187952 0.3562641019 42.7543021769 -47.6413957823 1.3509704199 -58.8762358324 68.8542430537 -4.5789001237 26.0881979323 -31.5741788193 2.8951491463 -1.4497966017 1.3380674799 0.0036611068 5.4031719146 -6.1290931231 0.3107172861 -7.4856343948 8.7688733438 -0.7343493645 3.3334717308 -3.9973330647 0.4229556198
0.0158489319 7.5 4.6991251896 0.3360164017 -0.0089372225 0.306043905 -0.428188954 0.0351373029 1.7146520875 -0.6426995059 0.1451525465 -0.0136492035 0.0004586999 -0.3499803018 0.2131200216 -0.0476059211 0.0045158963 -0.0001551993 -33.8430866217 21.852771734 6.4156265557 132.5335445804 -119.6575221006 -14.2894251369 -178.4664241493 186.8869254686 6.8355344807 77.8849827279 -89.6021754288 1.1066840508 -28.5771731971 27.5478380522 3.0405208004 118.5562094533 -134.3070025864 -2.2410582856 -166.1464288973 198.5478126675 -7.0358607721 74.4547367079 -92.2926779649 6.3136158245 -10.4091288278 11.0983245447 0.62375221 43.1805091637 -52.2978627131 0.9744495819 -61.6114017509 75.9878984805 -4.7119117615 27.9468069672 -34.9786896007 3.1445023355 -1.3504612482 1.4651275983 0.0464012634 5.5224345322 -6.8079421643 0.2406126264 -7.9489981997 9.8237757891 -0.7349478952 3.6283937608 -4.5057461333 0.4520391597
0.0199526231 7.8 4.7556082962 0.3269384891 -0.010314344 0.3033860929 -0.4209048867 0.0343552884 1.9121433951 -0.751222247 0.1674140149 -0.0156735083 0.0005277542 -0.4478882645 0.2694635191 -0.0596360655 0.0056440975 -0.0001944388 -42.8277325797 41.1075882423 1.7670056326 175.9994852055 -195.1960146988 4.9952066498 -233.844386437 282.7603313271 -18.6047750739 100.4408355511 -129.2075056017 11.9279871025 -36.3622887447 45.1839849821 -0.9145728042 157.3334082243 -204.0219744559 14.5248123577 -216.2043782902 287.5455973403 -29.4581795161 95.0157015348 -129.2263383639 15.9404511618 -13.0410584594 17.5269872765 -0.7135972297 56.7766408002 -77.8755312445 6.7787823282 -79.3772814829 108.7930409071 -12.5851432285 35.2896380599 -48.6391063011 6.556052291 -1.6597774076 2.2800634076 -0.1116247994 7.17850873 -10.0680160362 0.9427128873 -10.1378354947 14.0210536456 -1.7002327916 4.5380100974 -6.2582653091 0.8738869272
0.0251188643 8.95 5.065654626 0.2963765967 -0.0119281989 0.2969373901 -0.4098087961 0.0331186139 2.1539138139 -0.8927591847 0.1982305382 -0.0186268734 0.0006330414 -0.5719792694 0.3427423146 -0.0756752153 0.007182719 -0.000249038 -48.4797219107 55.7785000258 -4.0133993949 203.1744408844 -245.4657543936 25.9385381009 -266.7082108364 340.0759448663 -43.5920265039 113.9342895071 -151.0624029213 21.7937101574 -42.8382826139 60.8412193483 -6.4582542464 188.7203161972 -259.2502197726 35.0071150867 -255.7087778747 352.3306699851 -54.3115830467 111.6496865619 -154.5931007171 25.8987670888 -15.8365807353 23.9817850436 -2.8287849497 70.4391524705 -101.0599279693 14.7120663427 -96.9893067286 136.4572750195 -22.3325442459 42.8120570944 -59.6381792273 10.5030952707 -2.0648079922 3.1842048796 -0.391808802 9.1648695756 -13.3553052991 2.0057140981 -12.7365278013 17.9875948249 -3.0185636914 5.6573769687 -7.8508252878 1.411862961
0.0316227766 8.25 4.8042229815 0.3066648064 -0.013746637 0.3078399835 -0.4074900854 0.0326778324 2.2779443538 -0.9647994178 0.2136928573 -0.0200645 0.0006814478 -0.6822120101 0.407086072 -0.0895727855 0.0084928 -0.000294393 -36.454347243 50.7470670963 -7.8549338548 150.7810895953 -212.7678867723 36.8724293356 -186.1677313642 284.2653730155 -53.1909335756 75.3824228617 -122.5808344289 24.2424134809 -31.5145157956 58.5002431151 -10.4300311739 140.047746542 -237.7623187054 46.9727499486 -180.7645677206 311.4806214509 -65.709208285 75.6530222016 -132.5800920099 29.2516732748 -11.5212403813 23.8157827678 -4.4385318785 52.1262556172 -95.7306291658 19.7452677421 -68.7772422049 124.527904845 -27.3598748843 29.2289366846 -52.75741697 12.0889092726 -1.4922527907 3.2332969498 -0.6141896891 6.7573608264 -12.9297889021 2.71801631 -9.0279043013 16.7643172496 -3.7506979128 3.8689317834 -7.087304533 1.6518175591
0.0398107171 8.1 4.7102513005 0.3074828309 -0.0158357046 0.3073252909 -0.3942597934 0.0311008798 2.4257618805 -1.0486282081 0.2324936506 -0.0219985219 0.0007563393 -0.8116170327 0.4813015793 -0.1056517274 0.0100416538 -0.0003499646 -10.3296808074 9.7218351195 -2.4289715727 43.8835373652 -42.5548489301 10.0813149178 -39.4358854685 56.8097930842 -13.5285479233 10.6624405151 -23.9026730425 5.8525266906 -11.5238638904 27.2776685811 -7.0845191601 59.6125010155 -107.0341307722 29.1340653287 -69.9204347271 135.7820298694 -38.279501508 26.6462718907 -56.0638208278 16.2451257932 -5.0659154137 13.8325098524 -3.6007584002 26.7017141063 -53.5712843183 14.8041092212 -33.6834840085 67.5735160397 -19.4227798758 13.7041599117 -27.8736875237 8.2332014518 -0.7428266299 2.0860295086 -0.5425549506 3.8691868222 -8.0463132325 2.2316178293 -5.0391659319 10.1365352213 -2.9280321585 2.1048431281 -4.1834659625 1.2414397554
0.0501187234 7.4 4.429340924 0.3166116365 -0.0210928142 0.3165357815 -0.3872042221 0.0302957982 2.2156974197 -0.8862265115 0.1911293198 -0.0176427578 0.000592351 -0.8563075456 0.494428259 -0.1063612452 0.009952747 -0.0003425328 27.0850641033 -63.7190986405 13.8342593134 -111.8532480444 249.1446647122 -59.2885275673 168.9499140029 -319.851083992 80.3566297996 -78.7585919722 134.893707937 -35.0579289393 23.6379766877 -38.4638846363 6.9208004148 -85.7477877924 155.8694392906 -31.1593470023 125.0726821873 -205.7601512083 43.9237705731 -57.3133616236 88.7120740467 -19.7948971478 8.1941856291 -10.0556218022 1.3573845746 -27.7941444041 42.4356361932 -6.6860583354 39.5670703652 -57.7111164583 10.0380863182 -17.9220676877 25.44934151 -4.7433074448 0.9970660559 -0.9622329303 0.0784628668 -3.2497631088 4.2505490264 -0.4738884899 4.5443928476 -5.964418711 0.7964843163 -2.0415302867 2.6903239242 -0.4049161701
0.0630957344 6.85 4.1853555673 0.3267895857 -0.0276700262 0.3263815938 -0.3816353632 0.0301815426 1.5013679858 -0.3856248897 0.0679066885 -0.0048087958 0.0001099302 -0.7802019862 0.4244420911 -0.086695294 0.0077403729 -0.0002551261 51.1666406905 -130.6664837133 34.9670234774 -210.7195191836 498.9518851785 -142.5647839443 294.3730887277 -626.3972935527 186.5756079083 -129.8069489939 258.8850624229 -79.2621144666 46.6918844026 -99.6681916738 25.4180021761 -179.9661292356 386.4359650967 -104.6972771283 245.4105148838 -490.9231980829 138.3702405627 -106.5622354207 204.8012161561 -59.3178174586 16.9946509656 -32.642702226 8.0005981931 -63.5145803574 127.9964173966 -33.2386462651 85.3153644814 -163.9914945403 44.2792255459 -36.683226732 68.862481446 -19.1177115737 2.1631923026 -3.8800070864 0.9209758723 -7.95435307 15.3425907797 -3.8532069895 10.5772316838 -19.7797542237 5.1657914227 -4.5177376833 8.3450314582 -2.2428443416
0.0794328235 6.1 3.8684739719 0.3355781662 -0.0485851618 0.3355382597 -0.3693744528 0.0283527647 0.2348472015 0.4704790756 -0.1376204277 0.0162373354 -0.0006719543 -0.5504798596 0.2521788408 -0.0427922227 0.0030693244 -0.000076988 -7.7636417404 -66.1496056368 26.9523163091 8.9758103214 219.6493165751 -103.3790755539 15.4057989378 -240.4576359003 127.1045681035 -12.5726340634 86.7353328772 -50.7178797448 0.0646037578 -52.7795833585 20.6306748825 -6.9286445457 179.8937465953 -79.8186980652 26.5565609653 -201.9567966837 99.0410551131 -14.748670151 74.6922317722 -39.8903524421 1.3713776752 -17.9386835505 6.7856191162 -5.622000186 62.2748938123 -26.435580008 12.3083993586 -71.1102818725 33.0358303153 -6.0963601452 26.7309338938 -13.4000889005 0.2789931324 -2.1980663728 0.8105845056 -0.9736908818 7.7318935747 -3.1749876251 1.7928548842 -8.9342753876 3.9893496846 -0.8410236507 3.3959670652 -1.6268421598
0.1 5.9 3.7306312263 0.3412300018 -0.065869952 0.3408640601 -0.352445431 0.0265250085 -1.5748728214 1.682296287 -0.4263895761 0.0455874333 -0.0017536344 -0.1518560063 -0.0327600309 0.0277509596 -0.0042782164 0.00019837 -68.4584808555 28.8296885322 4.6055618374 237.828030328 -164.2666966224 -8.8364439771 -274.7648414346 260.0220513999 -0.9339373641 107.1387612987 -125.3748477634 5.31707408 -49.2973802529 21.6311909944 3.5186380577 177.9833174727 -122.6159568827 -7.0615069309 -206.8330558247 194.0177681139 0.0625499188 81.2412856002 -93.6598224191 3.5999615813 -15.6001241536 6.9828876851 1.1492038421 57.7905120359 -39.4623503224 -2.3852809988 -67.5101499858 62.4586866877 0.2110023906 26.6791445304 -30.1911588424 1.0652384365 -1.812876912 0.8165345421 0.137289781 6.8351878151 -4.6123470507 -0.2944384024 -8.0193717571 7.3082780654 0.0482165074 3.1845925033 -3.538277842 0.1137946823
0.1258925412 5.7 3.5958686563 0.3457374118 -0.091198369 0.3455371221 -0.3417594906 0.0251987589 -3.7031057056 3.0667936054 -0.7491847826 0.077858571 -0.0029284383 0.381196376 -0.3993042179 0.1161756449 -0.0133213793 0.0005328625 -57.6614085851 52.2101531799 -6.5340085527 177.2434650293 -234.3683113559 33.4799257247 -183.2380501499 322.7072974311 -52.1896270303 62.323522194 -140.8212428576 25.3293098147 -42.1101841379 41.0447474284 -5.3887075493 133.9449721271 -182.9370310775 27.0780940499 -138.7571681444 251.1195172969 -41.7306512182 47.4259054209 -109.4540239153 20.11269377 -13.483785505 13.7583833791 -1.8817902918 43.8707410668 -61.0080173149 9.3041967093 -45.5797866859 83.5696822617 -14.2052999719 15.6622992163 -36.3995502437 6.8079540709 -1.5814899248 1.6611432948 -0.2338657936 5.224072633 -7.3409049847 1.1434152592 -5.4418772075 10.0425517849 -1.7344760497 1.8784351562 -4.3727261512 0.8280584136
0.1584893192 5.5 3.4497618625 0.3526134347 -0.1253933749 0.3525096552 -0.3386420546 0.025211426 -5.4613288942 4.1543784819 -0.991765532 0.101167973 -0.0037470472 0.8908286605 -0.7375908727 0.1952694428 -0.0211856259 0.0008163879 -24.1771270565 31.5057486724 -6.3012017282 42.856646953 -131.4421294128 28.5901529536 -12.536822638 166.6237148171 -40.3867859764 -9.7257720547 -66.4033644826 18.0602818108 -17.0001396313 26.1599915548 -5.5456908075 31.6325320857 -107.9725844095 24.7207658495 -8.1701026677 136.3163669533 -34.5180107556 -7.9641766484 -54.2945891342 15.3188782163 -5.341652215 9.0995365531 -2.0180104894 10.3477684261 -37.2837964102 8.8750473128 -2.6069590715 46.936269202 -12.2841785369 -2.6437437 -18.6851574103 5.4203922716 -0.6200895376 1.1269902465 -0.2579150548 1.2363426535 -4.5953440584 1.1239568098 -0.3115197598 5.7737832158 -1.5464266064 -0.3147988124 -2.2976160209 0.6796794351
0.1995262315 5.55 3.3923605786 0.3602997081 -0.1413442501 0.3579168731 -0.3261850027 0.0243650446 -6.7018386017 4.8428481185 -1.1284975226 0.1128208698 -0.0041093787 1.3412651352 -1.0221971406 0.2585603683 -0.0271855295 0.0010233916 -23.6603443359 26.4640310772 -5.4261084482 55.7912305175 -112.0606207342 24.6369636426 -47.626855193 146.5180596581 -35.041155878 11.2808351516 -60.8885768615 15.8379939299 -16.8282538817 21.4472589447 -4.6397399984 41.8100744099 -89.7280151303 20.7047092125 -35.8764912344 116.5908957867 -29.1067229314 8.6816155671 -48.2989493011 13.0518586753 -5.2889941154 7.3196956585 -1.6662095271 13.5826800785 -30.3517310858 7.3244072939 -11.670176524 39.2453744507 -10.1944177869 2.8533020582 -16.2126365603 4.5405735666 -0.6112686343 0.8930670707 -0.2113578915 1.6020629097 -3.6801303218 0.9191670944 -1.373910847 4.7413557459 -1.2702003891 0.3364472613 -1.9544432332 0.562998143
0.2511886432 5.75 3.4024056321 0.359494885 -0.1448290497 0.357607348 -0.3077823707 0.0218772196 -7.1619369709 4.9757001877 -1.1257647377 0.1096855811 -0.0039080822 1.6473224703 -1.1975091894 0.2930108986 -0.0300069617 0.0011055908 -14.4453887135 18.4966671285 -3.7315585177 24.5481443774 -76.1411436292 16.603879761 -11.9759908226 97.2147911164 -23.1691014164 -2.3246173229 -39.552575663 10.3024062033 -9.9175475447 15.1682812459 -3.2585943132 17.6095356665 -61.5296181821 14.2215334331 -8.0052118495 77.8930126017 -19.5732509606 -2.1027677322 -31.5223535469 8.6162950145 -2.9965192097 5.1467871569 -1.1831732013 5.3666893153 -20.6387846366 5.0711554387 -2.1181500332 25.9241065212 -6.8924269626 -0.8863768191 -10.4287403705 3.006621484 -0.3324803706 0.6201402179 -0.1505008441 0.5867764247 -2.4653485097 0.6365992009 -0.1842143852 3.0765532115 -0.8572399895 -0.1334983894 -1.2308281967 0.3714025684
0.316227766 5.9 3.3904815902 0.3610054068 -0.1495338004 0.3602790411 -0.3084956335 0.0223410857 -6.5416559674 4.3470296551 -0.9338506538 0.0866261002 -0.0029491416 1.717463815 -1.1996014938 0.2829507911 -0.0280148005 0.0010009573 -12.4571982754 13.4526035589 -2.2960758343 25.0419189827 -56.590694865 10.6651319374 -20.4292614556 74.0834356615 -15.3320329292 4.09878749 -30.9444019764 6.9647059986 -8.4969944075 11.1931863186 -2.1333866238 17.8927647072 -46.1070033694 9.5539854759 -14.4665321126 59.5898435801 -13.3991913591 2.8386539977 -24.6775846344 5.9810792692 -2.5750118956 3.8453857964 -0.820947882 5.5315012964 -15.5784380327 3.5586977588 -4.3456218497 19.9064819934 -4.8821626714 0.7827403697 -8.1733923818 2.1453809724 -0.2874936598 0.4673661463 -0.1087635098 0.6185985469 -1.8701060441 0.4610946905 -0.4657664999 2.3679693257 -0.6228085062 0.07209907 -0.9651067784 0.2705936125
0.3981071706 6.2 3.4344726937 0.3547114962 -0.1421671394 0.3592644452 -0.2965977772 0.0212260759 -4.8154389796 2.9693291223 -0.563840001 0.045648218 -0.0013386935 1.5112911693 -1.0068678279 0.2248303239 -0.0210298682 0.000709735 -11.1714288977 13.4247596667 -2.3126759793 23.8285452447 -55.2129660534 10.5124921483 -20.5166764105 71.2664927434 -14.8567559791 4.6299206154 -29.4690829205 6.663017642 -8.7846400405 12.5321159192 -2.4312176459 21.4319522802 -50.4738736974 10.6093392359 -20.2027416617 64.497179632 -14.6056807113 5.59516093 -26.5599737371 6.4364150198 -2.8895971868 4.4882250715 -0.964384637 7.4352330104 -17.8049793195 4.0855910137 -7.1484813461 22.5344496703 -5.5134944385 2.0601591962 -9.219451867 2.3957023825 -0.3391773342 0.5545423712 -0.1284870987 0.8904253427 -2.1749807491 0.5336439357 -0.8534809196 2.7301904213 -0.7101812583 0.2452310997 -1.1098274242 0.3054405857
0.5011872336 6.45 3.4498984617 0.3607438959 -0.1359072465 0.3632280923 -0.28125334 0.0201580254 -2.4781119819 1.2039956193 -0.1078942399 -0.0033519898 0.0005407045 1.1218713087 -0.6893550069 0.1369772714 -0.0110645377 0.0003112484 -11.8124076479 13.8103810756 -2.0938028474 31.4447779368 -57.8948328027 9.8779714878 -33.6999627222 76.3360054811 -14.2734263286 11.4352442815 -32.2815618215 6.4996395477 -9.5131576307 13.2732304476 -2.4110773938 27.7565065487 -54.1946119297 10.699908681 -30.8473938722 70.4088315186 -14.8903857108 11.0012452217 -29.5252697455 6.6148632772 -3.1217379547 4.754601397 -0.9822657512 9.3882954163 -19.0888311674 4.2033633662 -10.4608173485 24.5222316014 -5.710878828 3.7487095236 -10.2008345394 2.4947894181 -0.3635523498 0.5847582425 -0.132423398 1.1023401978 -2.3190977532 0.5536695187 -1.2191005868 2.9524926058 -0.7402472436 0.4333155303 -1.2195346643 0.3196128652
0.6309573445 6.8 3.5255680829 0.3615410624 -0.1252002146 0.3600245607 -0.2650472407 0.0184867278 0.5264801463 -0.9708815969 0.4357565334 -0.0602721467 0.0026777319 0.5113490397 -0.224277741 0.0145783011 0.0023185749 -0.0002092516 -13.5408506606 17.0557757525 -2.8046653887 41.258829488 -70.294927866 12.7102571661 -48.2267899793 92.592344052 -18.0454882853 18.39272956 -39.4585086227 8.1708818317 -10.5620347137 16.1156782464 -3.036012741 33.6621322206 -64.8967488077 13.2011291924 -39.691195189 84.2066324024 -18.2228284086 15.2989539818 -35.5208597085 8.0875036988 -3.3484907348 5.6515455026 -1.17536018 10.7663422295 -22.4301345835 4.9787461015 -12.6091578308 28.8013705206 -6.7483441792 4.8304251565 -12.0537009231 2.9552802759 -0.3765717146 0.6806265514 -0.1523510867 1.2044592112 -2.672388024 0.6339885731 -1.3931899619 3.4032404524 -0.8484458214 0.5270275489 -1.4148979421 0.368027541
0.7943282347 7.1 3.571361991 0.35652637 -0.1193241697 0.3570237495 -0.2649773794 0.018826848 3.4251849396 -2.9913246599 0.9214368763 -0.1092201354 0.0044499058 -0.1495126457 0.2603579955 -0.1085146009 0.0153528195 -0.0007017741 -9.7912128176 13.7699914453 -2.0580225679 28.968177401 -57.0642691601 9.6642954622 -33.5094137541 75.2020238203 -13.9470982658 12.6116166251 -31.974637592 6.3600239497 -8.121295776 14.8107350352 -2.7666379008 25.532425839 -59.4131216238 12.0808421183 -29.8141599743 76.6964155363 -16.6573095449 11.3386815693 -32.1614152907 7.365445564 -2.7354249088 5.5458057007 -1.1667486745 8.765383814 -21.8911747043 4.9315657038 -10.1863721671 27.942209804 -6.6523805282 3.8565136457 -11.620004502 2.8960020993 -0.324788036 0.6980589082 -0.158691045 1.0447286742 -2.7267077902 0.6579918521 -1.2034485193 3.4533488086 -0.8757474779 0.4515129887 -1.4273765368 0.3775010833
1.0 7.4 3.6164291057 0.3597726264 -0.1119255063 0.3594945547 -0.2661810877 0.0201321375 5.9490466324 -4.6713273052 1.3046107116 -0.1456700116 0.0056901455 -0.8075476906 0.7262022959 -0.2227593676 0.0270341654 -0.0011281454 -7.3256048785 13.6140019159 -2.3866257947 20.4853894959 -55.6484349283 10.8451697256 -22.683851275 72.7248157795 -15.3582540654 8.1028782765 -30.7620665016 6.9246232071 -6.6000198371 15.8897679935 -3.3298834917 20.2206068601 -62.917428455 14.2487598296 -22.9483502552 80.5235089622 -19.3913914982 8.4426735374 -33.5701422174 8.5010971772 -2.3998508944 6.2056652848 -1.4262398215 7.6268407002 -24.238636318 5.9470998329 -8.7064714214 30.7266312873 -7.9503662549 3.2295781221 -12.720858172 3.4405936692 -0.3041661274 0.8052389962 -0.1963047274 0.9832228555 -3.119945459 0.8063911938 -1.1233704201 3.9321336409 -1.0667220577 0.4176807388 -1.6208055989 0.4580693737
1.2589254118 7.7 3.6545484068 0.3575998427 -0.1057179109 0.356531999 -0.2782206558 0.0225276051 7.3681310616 -5.4999740698 1.4592526629 -0.1565216235 0.0059096678 -1.2840034335 1.0456808207 -0.2960404231 0.0339570093 -0.0013588406 -8.9399578514 14.6746850813 -2.505880466 28.4876600854 -60.5337280733 11.4471773346 -33.749540108 79.8395624305 -16.2724487262 13.1105579967 -34.0939513081 7.3635321984 -6.8232986367 16.3491826384 -3.3782515204 21.9455855601 -64.7884294325 14.4731677049 -25.4370197716 83.0143230851 -19.7001865816 9.6229790027 -34.6664921399 8.6368222002 -2.2300571005 6.2279924266 -1.4188136909 7.1397072806 -24.2394246245 5.9108681413 -8.0891976452 30.6324215459 -7.8881995559 2.9805703518 -12.6500681349 3.4074527883 -0.262856779 0.7946727887 -0.1928172797 0.8335907638 -3.0586362914 0.7900493548 -0.9245930055 3.8313169616 -1.0417456072 0.3322744273 -1.5706124363 0.4459012978
1.5848931925 7.0 3.2857734297 0.6097338179 -0.0885782972 0.3841044767 -0.2895406921 0.0245989884 7.648530693 -5.4787108915 1.3931838181 -0.1435055576 0.005210428 -1.5563352471 1.2072403932 -0.3268127032 0.0361301549 -0.0014013408 -15.6267755898 19.5080593601 -3.5605314144 56.9852336746 -81.2724131551 15.9496386613 -71.9465712177 108.4182979312 -22.4363383422 29.7887407551 -46.8304019237 10.0923559631 -11.7684133905 20.4850750292 -4.3731437166 43.0184773363 -82.1740586811 18.66832572 -53.7804207458 106.5984888816 -25.3827671998 22.0293625855 -45.049167858 11.1300957791 -3.8204178224 7.6642307761 -1.7785147234 13.9181600796 -30.2217997137 7.4206289208 -17.2285461072 38.6888757883 -9.9248726382 6.9880366475 -16.1763205766 4.2978929131 -0.4494593724 0.9707618833 -0.2378174021 1.6292986976 -3.7888067179 0.9785393507 -1.9994408429 4.8110475767 -1.2955410523 0.804228697 -1.998174143 0.5566794825
1.995262315 7.05 3.2049965568 0.6867309199 -0.0730270901 0.4021565328 -0.3001730944 0.0272869036 6.5009005488 -4.4139718949 1.0596086003 -0.1017082555 0.0034036819 -1.5296436434 1.1441104045 -0.2982329547 0.0317315593 -0.0011842892 -20.1960639891 21.6055845816 -3.9671594926 76.9558822304 -91.9371330215 18.0091022755 -99.1784901924 124.8886042533 -25.6256909132 41.8549374142 -54.7932637962 11.6418776548 -14.2376462653 21.4583001699 -4.630732686 54.2049540462 -87.4470244094 19.9803977582 -69.3873921459 115.0404659596 -27.4128595716 29.0659150266 -49.2249083259 12.1135286806 -4.4509644197 7.8794384564 -1.8541160076 16.8697479568 -31.4681943381 7.8067794295 -21.4317771363 40.7554636244 -10.5217536456 8.9120032274 -17.2206911675 4.586453303 -0.5129490306 0.9903848307 -0.2463738852 1.9342451795 -3.9084646085 1.0221728619 -2.4407618904 5.0146045608 -1.3628308909 1.0086004307 -2.1026437352 0.5891390921
2.5118864315 7.2 3.1576062661 0.7182870656 -0.0633135535 0.422258717 -0.3243310103 0.032269761 4.4712377568 -2.7316187837 0.5755552666 -0.0446086239 0.0010424904 -1.2961313655 0.9303042089 -0.2312090051 0.0232306818 -0.0008112952 -21.0256536528 20.9146813933 -3.6575896188 80.2541587986 -89.9299623313 16.8386925588 -102.8672950437 122.982399485 -24.1638644623 43.2151911251 -54.2040602215 11.0392722356 -14.0588235626 20.3381797663 -4.3151386648 53.5788566869 -83.2808085004 18.7297517823 -68.2708070338 109.8605415716 -25.7765170036 28.4776069422 -47.0814527582 11.4088868273 -4.2203266299 7.3844256493 -1.728543227 16.0043471205 -29.5510451971 7.3034369707 -20.2460042913 38.2936647035 -9.8561163949 8.3823550516 -16.1759435595 4.29706609 -0.4710115161 0.9203065635 -0.2291256019 1.7760099786 -3.633508927 0.9529128758 -2.2313731002 4.6581700587 -1.2710936968 0.9176474424 -1.9503343838 0.5491990355
3.1622776602 7.25 3.0744436887 0.7916821056 -0.0484992643 0.439448184 -0.3362655551 0.0347566543 1.7004096902 -0.5510132725 -0.0240901205 0.0235591069 -0.001691644 -0.8569787701 0.5704365482 -0.1279204877 0.0109751519 -0.0003001327 -22.7410654957 22.4113232837 -4.0962932971 86.6321200609 -97.0204107064 18.7941351914 -110.2342524931 133.365047689 -26.9408607716 46.0341130284 -59.0219141007 12.3078427671 -15.2639721536 21.4255214206 -4.7172319252 58.1094326082 -88.201374178 20.4437169856 -73.5766819602 116.8469476674 -28.1245927122 30.5295892104 -50.2520003072 12.450839956 -4.618710154 7.768048443 -1.8814029229 17.5088835851 -31.2150165481 7.9400357389 -22.0246646611 40.5869460018 -10.7113954384 9.075047828 -17.1937827054 4.6704233942 -0.5200722519 0.9703469698 -0.2493654837 1.9614720054 -3.8444317663 1.0361509301 -2.4517686191 4.942790342 -1.3817281231 1.0037815747 -2.0746013587 0.5970482799
3.9810717055 7.35 3.0068769412 0.8374853908 -0.0381578519 0.4568235091 -0.3529564847 0.0379067937 -1.212860407 1.6599514315 -0.609562804 0.0876371821 -0.0041672285 -0.3309580379 0.1597031539 -0.015464143 -0.0017928777 0.0002112414 -26.2642683833 23.77125245 -4.0600543127 100.4723014588 -103.6463081839 18.8142823254 -127.685929156 143.161093468 -27.132821859 53.2785856302 -63.5727503929 12.4442193837 -17.7517744306 21.9652599806 -4.6270962417 68.1162764947 -91.1788182551 20.1837774851 -86.4673320533 121.521772285 -27.8789898943 35.9754166484 -52.5004112965 12.3745119814 -5.4010814145 7.8590481743 -1.8420068856 20.7060622979 -31.8305838151 7.8107058294 -26.2018972813 41.6328884279 -10.5674404814 10.8600524685 -17.718161219 4.6160526673 -0.6112283468 0.9757068778 -0.2441523499 2.3380440661 -3.8946665757 1.0183477869 -2.9485647122 5.0361976235 -1.3610742408 1.2177327242 -2.1234587236 0.5889343431
5.0118723363 7.4 2.8863979901 0.8761701567 -0.0300809599 0.494472907 -0.3688931822 0.0409760006 -3.8896619277 3.6472431247 -1.123763816 0.1425881149 -0.0062388468 0.2070803357 -0.2513939403 0.0947734672 -0.0140724906 0.0006943685 -25.7057753316 24.0764870545 -3.8703593636 96.6299130503 -105.0203223551 18.0902179351 -120.7036700695 145.0266967878 -26.2282367214 49.6101090555 -64.3603050169 12.0710777046 -16.8400900423 21.1590531205 -4.272283011 63.439586357 -87.9918917847 18.7589825275 -79.104292167 117.3482960629 -26.0111674172 32.3906723316 -50.6930080159 11.5722780423 -4.9749838544 7.3593979319 -1.6779374224 18.6999214568 -29.8259447656 7.1458041401 -23.2146846024 38.9941945583 -9.6884668771 9.4549304529 -16.5777883287 4.2359706951 -0.54859969 0.8962112134 -0.2205512192 2.0540699083 -3.5743237702 0.9223614767 -2.5370284339 4.6137685769 -1.2337658517 1.0275780044 -1.9409142964 0.5337369216
6.3095734448 7.4 2.7145837156 0.9136920622 -0.022484062 0.5424418719 -0.3897339855 0.0446430908 -6.0708435731 5.2140490076 -1.5133826253 0.1822767327 -0.0076542992 0.6991286473 -0.617005313 0.1898484823 -0.0243145634 0.0010833074 -24.7741102608 26.2245261356 -4.2004794939 90.8563796624 -112.9422844125 19.2973590395 -110.8814030446 154.637439971 -27.7030506371 44.6437877503 -68.1972251506 12.669506268 -16.3990628492 22.4992962093 -4.4541046335 60.312114837 -92.8570002862 19.3916006589 -73.5383591604 123.2074399332 -26.7578257653 29.5222708533 -53.0294842103 11.8686413016 -4.8826471818 7.7389607193 -1.7237387703 17.9239199003 -31.1866356906 7.2970280803 -21.7691562778 40.6252764836 -9.8605280952 8.6968396787 -17.2289904654 4.3028104713 -0.5416584244 0.9369746218 -0.2250093354 1.9811404057 -3.7192344466 0.9363850802 -2.3946926693 4.7871924624 -1.2491964921 0.9516993639 -2.0103910363 0.5396320596
7.9432823472 7.45 2.5917169328 0.9472329304 -0.0155049898 0.5747947627 -0.4050606111 0.0472347676 -7.9678553541 6.53620996 -1.828752718 0.2125584795 -0.0086490871 1.1492239488 -0.9444905341 0.2727710514 -0.0329476371 0.0013975134 -23.2553995113 27.2691744178 -4.3551363064 83.8825933531 -116.9256606172 19.8961328484 -100.7237168778 159.5123686554 -28.4508015899 39.9595423262 -70.1283407588 12.9725152406 -15.5848632749 23.2275156197 -4.5486195116 56.4495087295 -95.5980759291 19.7391247686 -67.7697736114 126.5101496205 -27.1647461194 26.8124084301 -54.3146504366 12.021431467 -4.6784720275 7.9584046824 -1.7487960719 16.9233555175 -32.0027327941 7.3840728214 -20.2395489097 41.5941883071 -9.9546342549 7.9661975381 -17.5994958414 4.3344232811 -0.5215595225 0.9610430113 -0.2274099546 1.879886887 -3.8076857365 0.944166231 -2.2369694281 4.8906655061 -1.2567074541 0.8753696506 -2.0492510733 0.5416908604
10.0 7.45 2.4150068661 0.9769528489 -0.0094547258 0.6130675421 -0.4202596844 0.0498150631 -8.9354219345 7.1448354269 -1.9524028243 0.221535124 -0.0088127276 1.4619812362 -1.1632889723 0.3255599324 -0.0381284772 0.0015731751 -21.1165651659 26.9505956594 -4.2954775018 74.8408208092 -115.4589237674 19.652996511 -88.3974310928 157.3435337055 -28.1316687888 34.5467928364 -69.0887596449 12.8339016048 -14.3093444264 23.080364195 -4.5151781851 51.0659752649 -94.9124015394 19.6050797556 -60.439984641 125.4898599103 -26.993140092 23.5975167866 -53.8220519431 11.9487252124 -4.3337070093 7.9320602539 -1.7408147062 15.4695949849 -31.8751183648 7.3526146861 -18.2615562803 41.3996295877 -9.9155280555 7.0991477759 -17.5033275869 4.3183388622 -0.4861689116 0.9596498027 -0.2267020786 1.730713456 -3.8001217853 0.9414137525 -2.0340294536 4.8783480293 -1.2533876179 0.7864120292 -2.0428058158 0.5403679552
""")
