# Objectif : obtenir la pression vraie à l'intérieur du cylindre
# Par la correlation d'image, on obtient le deplacement, et donc la déformation et la contrainte dans le cylindre
# On considère cette pression à l'intérieur du cylindre comme étant celle exercée sur le cylindre à la limite
# échantillon/cylindre de confinement
import numpy as np
import scipy as sp
import math
import matplotlib.pyplot as plt
import csv
from scipy.optimize import minimize
# chargement des données experimentales (=deformations)
def chargement(echantillon, porosite):
if porosite==0:
porosite='00'
elif porosite==5:
porosite='05'
fichier = "/work/last_version/CC_correlation/echantillons_%s/202101_%s_0%s_epsi.csv" %(echantillon,str(porosite),echantillon)
file = open(fichier, "r")
# deformation du point central
e_xx=[]
e_yy=[]
e_xy=[]
e1=[]
e2=[]
gamma=[]
# deformation moyenne sur l'ensemble des points consideres
e_xx_mean=[]
e_yy_mean=[]
e_xy_mean=[]
e1_mean=[]
e2_mean=[]
gamma_mean=[]
reader = csv.reader(file, delimiter = ",")
next(reader)
next(reader)
for row in reader:
e_xx.append(row[1])
e_yy.append(row[2])
e_xy.append(row[3])
e1.append(row[4])
e2.append(row[5])
gamma.append(row[6])
e_xx_mean.append(row[7])
e_yy_mean.append(row[8])
e_xy_mean.append(row[9])
e1_mean.append(row[10])
e2_mean.append(row[11])
gamma_mean.append(row[12])
file.close()
return e_xx,e_yy,e_xy,e1,e2,gamma,e_xx_mean,e_yy_mean,e_xy_mean,e1_mean,e2_mean,gamma_mean
a=chargement(2,10)
print(a)
(['0', '1.91893e-05', '-3.85341e-05', '2.26807e-05', '-1.99016e-06', '-2.6556e-05', '-2.03295e-05', '4.53064e-06', '7.44542e-06', '-2.40009e-06', '1.99179e-06', '4.23338e-06', '4.97741e-05', '4.09872e-05', '3.48283e-05', '2.59107e-05', '2.97806e-05', '1.41405e-05', '4.31927e-05', '5.54266e-06', '6.58672e-05', '9.29192e-05', '9.92034e-05', '0.000110824', '0.000123992', '0.000126927', '0.000152032', '0.000125609', '0.000129929', '0.000120281', '0.000175734', '0.000118277', '0.000172685', '0.000187244', '0.000193916', '0.000197987', '0.000197518', '0.000218745', '0.000151454', '0.000204017', '0.000215636', '0.00022233', '0.000224006', '0.00021959', '0.000218962', '0.000236827', '0.000190269', '0.000242495', '0.000228618', '0.000250907', '0.000247562', '0.000227748', '0.000226098', '0.000235253', '0.000210207', '0.000299204', '0.000253616', '0.00023429', '0.00025087', '0.000259863', '0.000269448', '0.00026837', '0.000270967', '0.000194108', '0.000284013', '0.000265935', '0.000290362', '0.000286185', '0.000297641', '0.000290439', '0.000299118', '0.000292416', '0.0003115', '0.000304273', '0.000319938', '0.000316387', '0.000307618', '0.000321104', '0.000301531', '0.000263174', '0.000369503', '0.000317336', '0.000330056', '0.00031656', '0.000323224', '0.000316366', '0.000321829', '0.00031527', '0.00031741', '0.000320782', '0.000319743', '0.000324553', '0.000332921', '0.000334414', '0.000331396', '0.000334348', '0.000337525', '0.000335925', '0.000332623', '0.000332935', '0.000346054', '0.000317526', '0.000349756', '0.000314553', '0.000355282', '0.000330146', '0.000345984', '0.000341799', '0.000343185', '0.000406574', '0.000337241', '0.000343554', '0.000348154', '0.000361847', '0.000328932', '0.000329928', '0.000360094', '0.000352137', '0.000315767', '0.00034543', '0.000351068', '0.000362907', '0.000345084', '0.000361138', '0.000337848', '0.000348306', '0.000360499', '0.000368171', '0.000352252', '0.000348979', '0.000369127', '0.000352234', '0.000364446', '0.000348067', '0.000359234', '0.000358533', '0.000356636', '0.000382451', '0.000376268', '0.000362686', '0.000363819', '0.000366488', '0.000374269', '0.000364811', '0.000369421', '0.000345795', '0.000398123', '0.000393955', '0.000388128', '0.000379415', '0.00038479', '0.000367135', '0.000417367', '0.000386333', '0.000401368', '0.000389652', '0.000370929', '0.000382304', '0.000388178', '0.000397313', '0.000395313', '0.000418572', '0.000379667', '0.000381984', '0.000370135', '0.000398108', '0.00037022', '0.000404787', '0.000387171', '0.000389839', '0.000388332', '0.000412702', '0.000426651', '0.000405955', '0.00040807', '0.000416424', '0.000412723', '0.000415373', '0.000413634', '0.000383721', '0.000562793', '0.000442579', '0.000421111', '0.000457235', '0.000412002', '0.000411182', '0.000424358', '0.000440802', '0.000461363', '0.0004588', '0.000436197', '0.000457769', '0.000443731', '0.000536909', '0.000498208', '0.000510959', '0.000508932', '0.000505229', '0.000564288', '0.000581775', '0.00059871', '0.000638027', '0.000671368', '0.000669756', '0.000710147', '0.000725306', '0.000740408', '0.000760852', '0.000790296', '0.000811513', '0.000838379', '0.000867028', '0.000885993', '0.000901892', '0.000932053', '0.000958759', '0.000971505', '0.000975157', '0.00100318', '0.00101955', '0.00104441', '0.00105818', '0.00107126', '0.0010797', '0.0010542', '0.00101684', '0.000944916', '0.000897024', '0.000867697', '0.00083688', '0.000801876', '0.000761046', '0.000736697', '0.000696282', '0.000667466', '0.000634494', '0.000612707', '0.00062109', '0.00056652', '0.000530209', '0.000529493', '0.000495467', '0.000475781', '0.000475906', '0.000449714', '0.000428622', '0.000462155', '0.000403968', '0.000378132', '0.000365127', '0.000363077', '0.000349243', '0.000313553', '0.000298379', '0.000301395', '0.000299625', '0.000293159', '0.000287245', '0.00027637', '0.000281618', '0.000287626', '0.000287696', '0.000265803', '0.000266799', '0.000265719', '0.00025474', '0.000241804', '0.00022609', '0.000224951', '0.000224778', '0.000227868', '0.000194034', '0.000217062', '0.000189093', '0.000194647', '0.000154817', '0.000185985', '0.000173199', '0.000162531', '0.000166368', '0.000156258', '0.000158878', '0.000158173', '0.000140988', '0.00014478', '0.00013099', '0.00012805', '0.00012893', '0.000121126', '0.0001234', '0.000104935', '0.000104058', '0.000110568', '9.75954e-05', '8.49305e-05', '6.95087e-05', '9.44876e-05', '9.32119e-05', '9.38882e-05', '2.45221e-05', '6.29079e-05', '2.15387e-05', '2.79911e-05', '5.55834e-05', '4.37016e-05', '3.88221e-05', '5.99251e-05', '5.04283e-05', '3.69935e-05', '4.79936e-05', '2.7955e-05', '2.48855e-05', '1.71167e-05', '3.05789e-05', '6.15668e-05', '3.89863e-05', '2.81623e-05', '2.75712e-05', '2.33925e-05', '3.16556e-05', '2.06651e-05', '6.36949e-06', '1.54952e-05', '1.68535e-05', '1.5465e-05', '1.4054e-05', '1.18822e-05', '6.17639e-06', '-2.99289e-06', '2.30459e-06', '-3.467e-06', '5.02114e-06', '3.33944e-06', '1.57164e-05', '9.74794e-06', '-7.26453e-06', '5.19276e-05', '7.04787e-05', '6.67675e-05', '-2.60395e-05', '7.1019e-05', '8.25045e-05', '9.89658e-05', '9.98618e-05', '7.90506e-05', '0.000119873', '0.000125276', '0.000130068', '0.000131455', '0.000139885', '0.000107731', '0.000142401', '0.000136467', '0.000146286', '0.000163249', '0.000169927', '0.000200629', '0.000222715', '0.000196196', '0.00020223', '0.000229415', '0.000254173', '0.000266516', '0.000274247', '0.0002996', '0.000318627', '0.000332561', '0.000371636', '0.0003541', '0.000385966', '0.000432491', '0.000418459', '0.00045551', '0.000499083', '0.000458937', '0.000487628', '0.00048413', '0.00049613', '0.000511194', '0.000513191', '0.000538405', '0.000573338', '0.000558865', '0.000568078', '0.000598108', '0.000575633', '0.0006137', '0.00062905', '0.000627692', '0.00061574', '0.00064948', '0.000646454', '0.000675602', '0.000669843', '0.00065913', '0.000659637', '0.000668796', '0.000712892', '0.0006993', '0.000709791', '0.000601755', '0.000726324', '0.000729346', '0.000739033', '0.000745665', '0.000741284', '0.000757938', '0.000759121', '0.000770269', '0.000772429', '0.000780174', '0.000761825', '0.000784818', '0.000753615', '0.000772469', '0.000778127', '0.000760996', '0.000771906', '0.000773721', '0.000774572', '0.000774358', '0.000759872', '0.000757475', '0.00076486', '0.000775063', '0.000763979', '0.000754544', '0.000762607', '0.000750993', '0.000738567', '0.00077651', '0.000750882', '0.000754541', '0.000755479', '0.000756838', '0.000788154', '0.000763218', '0.000765129', '0.000731903', '0.000759628', '0.000720841', '0.000757599', '0.000747338', '0.000790558', '0.000780823', '0.000745377', '0.000744999', '0.000747978', '0.000794782', '0.000751973'], ['0', '1.4655e-05', '-1.31573e-05', '-6.14715e-06', '2.25291e-06', '-9.90176e-06', '-2.82337e-06', '-5.31511e-06', '-8.99203e-06', '-4.75193e-06', '1.86241e-07', '1.74113e-05', '1.20639e-05', '5.81209e-06', '3.15064e-05', '4.23359e-05', '4.38243e-05', '5.46915e-05', '5.34348e-05', '6.30929e-05', '6.85341e-05', '8.84962e-05', '9.90497e-05', '0.000103426', '0.000107634', '0.000116961', '0.000139013', '0.000139108', '0.00012534', '0.000114024', '0.000153045', '0.000145534', '0.000180209', '0.000168524', '0.000173082', '0.000188048', '0.00017907', '0.000202379', '0.000186727', '0.00019511', '0.000199476', '0.000207062', '0.000187706', '0.000201842', '0.000206892', '0.00022244', '0.000204133', '0.000204199', '0.000202567', '0.000196149', '0.000213636', '0.000200748', '0.000226613', '0.000210935', '0.000214239', '0.000223983', '0.000234949', '0.000229326', '0.000228414', '0.00023546', '0.000250071', '0.000245625', '0.000243492', '0.000207267', '0.000247701', '0.000260971', '0.000248964', '0.000266001', '0.000252003', '0.00027361', '0.00025718', '0.000256849', '0.0002699', '0.000261886', '0.000262517', '0.000258858', '0.000268326', '0.000267692', '0.000253659', '0.000252167', '0.000251631', '0.000247483', '0.000311054', '0.000264816', '0.000258725', '0.000264714', '0.000265679', '0.000270043', '0.000262544', '0.000257577', '0.000271643', '0.000249316', '0.00026357', '0.000271605', '0.000272106', '0.000255931', '0.000250483', '0.000287516', '0.000273017', '0.00026727', '0.000249984', '0.00026444', '0.000276578', '0.00026098', '0.000258298', '0.000287446', '0.000262781', '0.000211784', '0.000282574', '0.000311671', '0.000272638', '0.000271823', '0.00027669', '0.000261427', '0.000247077', '0.000270905', '0.000252427', '0.000255546', '0.000230037', '0.000277358', '0.000283171', '0.000259459', '0.000269469', '0.000281884', '0.000272578', '0.000277347', '0.000278318', '0.0002675', '0.000273426', '0.000282188', '0.000296233', '0.000273157', '0.000275213', '0.000272517', '0.000283077', '0.000278533', '0.000259785', '0.000277482', '0.000279614', '0.000272509', '0.000276933', '0.000273384', '0.000276637', '0.000278421', '0.000280929', '0.000271424', '0.000279317', '0.000277662', '0.000270615', '0.000279057', '0.000286675', '0.00028155', '0.000300092', '0.000282503', '0.000283535', '0.000287943', '0.000268603', '0.000280743', '0.00025573', '0.000285604', '0.000278045', '0.000252695', '0.000269639', '0.000262627', '0.000279513', '0.000258839', '0.000266998', '0.000274398', '0.000270119', '0.000304834', '0.000243863', '0.000270415', '0.000283438', '0.000274899', '0.000285007', '0.0002907', '0.00027728', '0.000231913', '0.000272599', '0.000265571', '0.000329453', '0.000266296', '0.000287818', '0.00029904', '0.000291464', '0.00026233', '0.000268584', '0.000256851', '0.000281333', '0.000258732', '0.000265108', '0.000263476', '0.000258307', '0.000306034', '0.00027075', '0.00026946', '0.000277275', '0.000261958', '0.000255105', '0.000256296', '0.000221135', '0.000278567', '0.000250659', '0.000228985', '0.00024841', '0.000220424', '0.000228853', '0.000226934', '0.00019956', '0.000207507', '0.000217937', '0.000192658', '0.000188011', '0.000177196', '0.000164043', '0.000162648', '0.000138524', '0.000124259', '0.000129294', '0.00013607', '9.91091e-05', '9.29169e-05', '9.22541e-05', '7.37723e-05', '5.799e-05', '7.46342e-05', '5.5097e-05', '7.08897e-05', '4.46651e-05', '6.74746e-05', '7.25158e-05', '7.44191e-05', '6.18331e-05', '5.91682e-05', '7.10234e-05', '6.63391e-05', '7.12096e-05', '7.31295e-05', '8.26771e-05', '7.83023e-05', '4.47131e-05', '7.47016e-05', '7.61762e-05', '0.000109068', '0.000109615', '0.000112678', '0.000132689', '0.000123453', '0.000123665', '0.000136752', '0.000125977', '0.000159143', '0.000167387', '0.000168442', '0.000181323', '0.000182012', '0.000185904', '0.000190239', '0.000185629', '0.000193384', '0.000198575', '0.000188989', '0.000209358', '0.000183118', '0.000182092', '0.000167466', '0.000172398', '0.000146944', '0.000151752', '0.000164036', '0.000148325', '0.000118162', '0.000143251', '0.00013495', '0.000130155', '0.000122855', '0.000121542', '0.000122707', '0.000108683', '9.60702e-05', '9.92144e-05', '9.22527e-05', '9.12084e-05', '9.75345e-05', '7.63326e-05', '7.22199e-05', '7.01388e-05', '7.62344e-05', '6.64921e-05', '6.93225e-05', '5.26174e-05', '4.56599e-05', '6.43883e-05', '2.18043e-05', '2.98766e-05', '1.93143e-05', '4.03282e-05', '2.86505e-05', '1.99966e-05', '-4.51123e-05', '1.91826e-05', '-1.07717e-06', '-7.38908e-06', '9.42518e-06', '-7.81715e-06', '4.924e-07', '-5.66297e-06', '-1.20006e-05', '-1.17918e-05', '-2.39274e-05', '-2.54859e-05', '-2.97569e-05', '-2.35116e-05', '-3.52826e-05', '-4.55118e-05', '-2.81112e-05', '-4.68265e-05', '-2.72636e-05', '-5.01379e-05', '-4.13891e-05', '-3.73616e-05', '-4.88876e-05', '-5.42507e-05', '-5.44934e-05', '-5.93536e-05', '-6.25835e-05', '-5.75876e-05', '-7.24138e-05', '-7.68573e-05', '-7.56664e-05', '-4.70967e-05', '-7.17427e-05', '-8.12191e-05', '-7.79712e-05', '-3.9255e-05', '-7.22987e-05', '1.57076e-05', '-3.5993e-05', '-3.98282e-05', '-2.8057e-05', '-2.65511e-05', '-7.24196e-06', '-2.05915e-05', '-7.69616e-06', '8.59267e-08', '-1.13674e-05', '1.2267e-05', '1.08835e-05', '1.40348e-05', '4.26435e-06', '7.08496e-06', 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# calcul des contraintes
def contrainte(echantillon,porosite):
#contrainte = pression
E = 210 #GPa
[e_xx,e_yy,e_xy,e1,e2,gamma] = chargement(echantillon, porosite)[:6] #ici on choisit les deformations moyennes
sig_xx=np.array(e_xx)
for i in range(len(sig_xx)):
sig_xx[i]*=E
return sig_xx
plt.plot(np.arange(0,len(contrainte(2,15)),1),contrainte(2,15))
plt.grid()
plt.title('contrainte en fonction du temps')
plt.xlabel('temps (en s)')
plt.ylabel('contrainte (en MPa)')
plt.legend('Contrainte calculée par corrélation d\'image')
def force_machine(echantillon, porosite):
if porosite==0:
porosite='00'
elif porosite==5:
porosite='05'
fichier = "/work/last_version/data/echantillons_%s/CC/CC_%s.csv" %(echantillon,str(porosite))
file = open(fichier, "r")
# deformation du point central
temps=[]
deplacement=[]
charge=[]
reader = csv.reader(file, delimiter = ";")
next(reader)
next(reader)
for row in reader:
temps.append(row[0])
deplacement.append(row[1])
charge.append(row[2])
file.close()
return temps, charge
tps=force_machine(2, 00)[0]
chg=force_machine(2, 00)[1]
S=30*10**(-3)*math.pi**2
#plt.plot(tps,float(chg)/float(S),label='force_machine')
print(chg)
sig=contrainte(2,00)
test=[]
for i in range(len(sig)):
test.append(sig[i]*10**7)
#plt.plot(np.arange(0,len(sig),1),sig,label='contrainte_materiau')
print(test)
plt.legend()
['0.81500', '0.85172', '0.60933', '1.09882', '0.87640', '0.94134', '0.19037', '0.10840', '1.03300', '1.08853', '0.20800', '0.52560', '0.11750', '0.45773', '0.56262', '0.73362', '0.72421', '1.00774', '1.05651', '0.57937', '0.83028', '0.94251', '1.11938', '0.87435', '0.74155', '1.37529', '0.89727', '0.79943', '0.60640', '0.05963', '0.62902', '0.48388', '1.04740', '0.78297', '0.78826', '0.57496', '0.24502', '1.36735', '0.99628', '0.33668', '1.11556', '0.84438', '0.82822', '0.63020', '1.03947', '0.50797', '1.05298', '0.62784', '0.37547', '1.19401', '0.31377', '1.00979', '0.65634', '1.31036', '1.34444', '1.94086', '1.71963', '1.83862', '2.37599', '2.02519', '2.20558', '2.30724', '2.98681', '3.18072', '3.56120', '3.55033', '3.87851', '3.74277', '4.16027', '4.47200', '4.53869', '4.50050', '4.92740', '5.14276', '5.31992', '5.50708', '5.26586', '5.96218', '5.95513', '5.90460', '6.67026', '6.74106', '6.96935', '7.15092', '6.86887', '7.66890', '8.05878', '7.91217', '8.52064', '7.87545', '7.93098', '9.25487', '9.16173', '9.36622', '8.46776', '9.54603', '9.13058', '9.64827', '10.40188', '10.43538', '10.53116', '10.43009', '10.33930', '11.22395', '10.88725', '11.69904', '11.61354', '11.11084', '12.02957', '12.22935', '12.53521', '12.61571', '13.09990', '12.80169', '12.69239', '13.17688', '13.50917', '13.88436', '13.81914', '14.01129', '14.44465', '14.84364', '14.96439', '14.62270', '15.27465', '14.93178', '15.73563', '16.04883', '16.29122', '16.11171', '16.79010', '16.18369', '17.65565', '17.88365', '17.25461', '17.26431', '17.35098', '16.65995', '17.89951', '17.56164', '18.06228', '18.86290', '19.11234', '18.94781', '18.86055', '19.67998', '19.54688', '20.15506', '20.00140', '19.56040', '20.12597', '20.32958', '21.04647', '21.04235', '21.04705', '20.79438', '21.73309', '21.70107', '21.85796', '22.30660', '21.99017', '22.38887', '22.80284', '23.05522', '23.25618', '23.46625', '23.34432', '23.81030', '23.99510', '24.77457', '24.14700', '24.24866', '24.29537', '24.69965', '25.09981', '25.14359', '25.37452', '25.38010', '25.66333', '26.02001', '26.54974', '26.70517', '26.60175', '26.78626', '27.44791', '27.46759', '27.28690', '27.27163', '27.92740', '27.69617', '28.58641', '28.38045', '28.24089', '28.66750', '28.98892', '28.91253', '29.02976', '29.30388', '29.88973', '29.60327', '30.30400', '30.83226', '30.53845', '30.84783', '31.48774', '31.89730', '30.83431', '31.88673', '31.90112', '31.58851', '31.58205', '32.45671', '32.30423', '32.61801', '33.66837', '33.43979', '33.53674', '33.08340', '33.73771', '34.68464', '33.95101', '34.44460', '34.29182', '35.49025', '34.49778', '34.60737', '35.76790', '35.26168', '35.84459', '36.24446', '36.34875', '36.07375', '36.58850', '36.74187', '37.35975', '37.67823', '37.36356', '37.44759', '37.76578', '38.32137', '38.36015', '38.50618', '38.62516', '39.28535', '38.76355', '38.93190', '39.72929', '39.50452', '40.24227', '39.93760', '39.52157', '40.47291', '40.35568', '41.07962', '40.68386', '41.22005', '41.92284', '41.53443', '41.70161', '41.67722', '42.36149', '42.65119', '41.46627', '42.79721', '43.38423', '43.20912', '42.87419', '43.43242', '43.80114', '44.33763', '44.26212', '44.97078', '44.24685', '45.75319', '45.34921', '45.06274', '45.37624', '45.53460', '46.14072', '45.99205', '45.79314', '46.18773', '47.45315', '46.48565', '47.45139', '47.47842', '46.92988', '47.86917', '47.46167', '47.85008', '48.20705', '48.40244', '49.37288', '48.70858', '49.21334', '49.19307', '49.57237', '49.95578', '49.85090', '50.59951', '50.19406', '50.70646', '50.81781', '51.32991', '51.00614', '52.28420', '51.89314', '51.77239', '52.10968', '51.77650', '52.63265', '52.77250', '53.12742', '53.17090', '52.90853', '53.95889', '53.63276', '54.16573', '54.25064', '54.24241', '54.10109', '54.89378', '54.72543', '54.71045', '55.07388', '55.61243', '55.44672', '55.84718', '56.29406', '57.10761', '56.96364', '56.81351', '56.48092', '57.20633', '57.68288', '57.96199', '58.59544', '57.89442', '58.53315', '58.95917', '58.90570', '58.59867', '59.56441', '59.54972', '59.90493', '59.73864', '60.13293', '60.38442', '60.24192', '60.34740', '60.13968', '61.36603', '61.02316', '61.35516', '62.01240', '62.37320', '62.13315', '62.75455', '62.72282', '62.54301', '63.00781', '62.88412', '62.92026', '63.62011', '64.03937', '63.97003', '63.96445', '64.51768', '64.84940', '65.06680', '65.37736', '64.98572', '65.55981', '65.60712', '66.04959', '66.07691', '66.20325', '67.20953', '67.00622', '67.02590', '66.85461', '67.89587', '67.60793', '67.43841', '68.01309', '68.60394', '68.62244', '68.60805', '69.31171', '69.41278', '69.87230', '69.58789', '69.30319', '70.11204', '70.81365', '70.79661', '70.42259', '70.95056', '71.48323', '71.34132', '71.26699', '71.93540', '72.26828', '72.51126', '72.65639', '72.87206', '73.00838', '72.64935', '73.27839', '73.53782', '73.81870', '74.52354', '74.25471', '74.21827', '74.58612', '74.57349', '75.49604', '75.50661', '76.07484', '75.34061', '76.23495', '76.25317', '76.96653', '77.06142', '77.20686', '77.53181', '78.13705', '77.94960', '78.14999', '78.19993', '78.00954', '78.28131', '78.63123', '78.97176', '79.09515', '79.19417', '79.94660', '80.32738', '79.92516', '80.08646', '80.59797', '80.35352', '80.60355', '80.49397', '81.76908', '81.89806', '81.61484', '81.95976', '81.72942', '82.76067', '82.31791', '82.74070', '82.65108', '83.24664', '83.77019', '84.15067', '84.03755', '84.49325', '84.87226', '84.25761', '84.92250', '85.26038', '84.98743', '84.81644', '85.95258', '86.17587', '86.01016', '86.87514', '86.88454', '86.95505', '88.08561', '87.87760', '88.03919', '88.46168', '87.34141', '88.91296', '89.14126', '88.77048', '89.00905', '89.18327', '88.91914', '89.65336', '90.01563', '89.72064', '90.63320', '90.54007', '91.31248', '90.81037', '91.24373', '91.36596', '92.03143', '91.92390', '92.50210', '92.73479', '92.84527', '93.27245', '93.64354', '93.94733', '93.93910', '94.58842', '93.88387', '94.35837', '94.80847', '95.14665', '95.55974', '95.64465', '95.40549', '95.35789', '96.25166', '96.24725', '96.85924', '96.93475', '96.82957', '97.63960', '97.74419', '98.13671', '98.39672', '97.88815', '99.17413', '99.32751', '98.97347', '98.85419', '99.50026', '99.48234', '100.01472', '100.81593', '101.28190', '101.29395', '101.18553', '100.93403', '101.34683', '102.44919', '102.00173', '103.04797', '102.68718', '102.54585', '103.33237', '103.72284', '103.45547', '104.00078', '104.28459', '105.42046', '104.24817', '104.66713', '105.69104', '105.27678', '104.86104', '105.89318', '105.96017', '106.02569', '106.49255', '106.78107', '107.16037', '107.03521', '107.54231', '108.13669', '107.98155', '107.87931', '108.55507', '109.36890', '109.73558', '109.55782', '109.98178', '109.21760', '109.97473', '110.02967', '110.74039', '111.25455', '110.69573', '111.24632', '111.41115', '112.16711', '112.10071', '112.50822', '112.71153', '112.84375', '113.07820', '113.54506', '113.74720', '114.05011', '114.45086', '114.98912', '114.83810', '114.79227', 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KernelInterrupted: Execution interrupted by the Jupyter kernel.