diff --git a/CheKiPEUQ/InverseProblem.py b/CheKiPEUQ/InverseProblem.py index 866baef6..d76dc350 100644 --- a/CheKiPEUQ/InverseProblem.py +++ b/CheKiPEUQ/InverseProblem.py @@ -25,8 +25,33 @@ def __init__(self, UserInput = None): UserInput.parameterNamesAndMathTypeExpressionsDict = UserInput.model['parameterNamesAndMathTypeExpressionsDict'] if self.UserInput.parameter_estimation_settings['verbose']: print("Paremeter Estimation Object Initialized") - #Leaving the original dictionary object intact, but making a new object to make covmat_prior. - UserInput.InputParametersPriorValuesUncertainties = UserInput.model['InputParametersPriorValuesUncertainties'] + + #Setting this object so that we can make changes to it below without changing userinput dictionaries. + self.UserInput.mu_prior = np.array(UserInput.model['InputParameterPriorValues']) + + #Below code is mainly for allowing uniform distributions in priors. + UserInput.InputParametersPriorValuesUncertainties = np.array(UserInput.model['InputParametersPriorValuesUncertainties'],dtype='float32') #Doing this so that the -1.0 check below should work. + if -1.0 in UserInput.InputParametersPriorValuesUncertainties: #This means that at least one of the uncertainties has been set to "-1" which means a uniform distribution. + UserInput.InputParametersPriorValuesUniformDistributionsIndices = [] #intializing. + if len(np.shape(UserInput.InputParametersPriorValuesUncertainties)) != 1: + print("A value of '-1' in the uncertainties signifies a uniform distribution for CheKiPEUQ. As of July 1st 2020, the uniform distribution feature is only compatible with a 1D of array for uncertainties and not compatible with providing a full covariance matrix. If you need such a feature, contact the developers because it could be implemented. Eventually, a more sophisiticated back end may be used which would allow such a feature.") + # If there is a uniform distribution, that means two actions need to be taken: + #First, we will populate InputParametersPriorValuesUncertainties with the standard deviation of a uniform distribution. This is so that the MCMC steps can be taken of the right size. + #Second, that we will need to make a custom calculation when calculating the prior probability that effectively excludes this variable. So we'll create an array of indices to help us with that. + #We will do both in a loop. + UserInput.InputParametersPriorValuesUniformDistributionsKey = UserInput.InputParametersPriorValuesUncertainties *1.0 #Just initalizing + for parameterIndex, uncertaintyValue in enumerate(UserInput.InputParametersPriorValuesUncertainties): + if uncertaintyValue == -1.0: + UserInput.InputParametersPriorValuesUniformDistributionsKey[parameterIndex] = 1.0 #This is setting the parameter as "True" for having a uniform distribution. + UserInput.InputParametersPriorValuesUniformDistributionsIndices.append(parameterIndex) + #In the case of a uniform distribution, the standard deviation and variance are given by sigma = (b−a)/ √12 : + #See for example https://www.quora.com/What-is-the-standard-deviation-of-a-uniform-distribution-How-is-this-formula-determined + std_prior_single_parameter = (UserInput.model['InputParameterPriorValues_upperBounds'][parameterIndex] - UserInput.model['InputParameterPriorValues_lowerBounds'][parameterIndex])/(12**0.5) + UserInput.InputParametersPriorValuesUncertainties[parameterIndex] = std_prior_single_parameter #Note that going forward the array InputParametersPriorValuesUncertainties cannot be checked to see if the parameter is from a uniform distribution. Instead, InputParametersPriorValuesUniformDistributionsKey must be checked. + #We will also fill the model['InputParameterPriorValues'] to have the mean of the two bounds. This can matter for some of the scaling that occurs later. + self.UserInput.mu_prior[parameterIndex] = (UserInput.model['InputParameterPriorValues_upperBounds'][parameterIndex] + UserInput.model['InputParameterPriorValues_lowerBounds'][parameterIndex])/2 + + #Now to make covmat. Leaving the original dictionary object intact, but making a new object to make covmat_prior. if len(np.shape(UserInput.InputParametersPriorValuesUncertainties)) == 1 and (len(UserInput.InputParametersPriorValuesUncertainties) > 0): #If it's a 1D array/list that is filled, we'll diagonalize it. UserInput.std_prior = np.array(UserInput.InputParametersPriorValuesUncertainties, dtype='float32') #using 32 since not everyone has 64. UserInput.var_prior = np.power(UserInput.InputParametersPriorValuesUncertainties,2) @@ -44,7 +69,7 @@ def __init__(self, UserInput = None): # [0., 0., 0., 0., 0.1, 0.], # [0., 0., 0., 0., 0., 0.1]]) - self.UserInput.mu_prior = np.array(UserInput.model['InputParameterPriorValues']) + #Making things at least 2d. Also changing it to a purely internal variable because that way we don't edit the user input dictionary going forward. self.samples_of_prior = np.random.multivariate_normal(self.UserInput.mu_prior,UserInput.covmat_prior,UserInput.parameter_estimation_settings['mcmc_length']) UserInput.responses_abscissa = np.atleast_2d(UserInput.responses['responses_abscissa']) @@ -403,7 +428,7 @@ def doGridSearch(self, searchType='getLogP', exportLog = True, gridSamplingAbsol #The below function is a helper function that is used during doeInfoGainMatrix. However, it can certainly be used for other purposes. def populateResponsesWithSyntheticData(self, parModulationCombination): - #For each paramaeter Modulation Combination we are going to obtain a matrix of info_gains that is based on a grid of the independent_variables. + #For each parameter Modulation Combination we are going to obtain a matrix of info_gains that is based on a grid of the independent_variables. #First we need to make some synthetic data using parModulationCombination for the discreteParameterVector discreteParameterVector = parModulationCombination simulationFunction = self.UserInput.simulationFunction #Do NOT use self.UserInput.model['simulateByInputParametersOnlyFunction'] because that won't work with reduced parameter space requests. @@ -699,7 +724,7 @@ def doOptimizeSSR(self, simulationFunctionAdditionalArgs = (), method = None, op self.opt_SSR = optimizeResult.fun #This is the best fit SSR. if printOptimum == True: print("Final results from doOptimizeSSR:", self.opt_parameter_set, "final SSR:", self.opt_SSR) - #FIXME: Right now, the createAllPlots command will not work unless we populate the map parmaeter set, so that is what we are doing. But a better longterm solution needs to be made. In which the graph says "opt" rather than "MAP" and uses the appropriate variables. + #FIXME: Right now, the createAllPlots command will not work unless we populate the map parameter set, so that is what we are doing. But a better longterm solution needs to be made. In which the graph says "opt" rather than "MAP" and uses the appropriate variables. #TODO: Also need to add things like WSSR based on magnitude and variance weightings. self.map_parameter_set = self.opt_parameter_set return [self.opt_parameter_set, self.opt_SSR] @@ -951,6 +976,9 @@ def getLogPrior(self,discreteParameterVector): if type(self.UserInput.model['custom_logPrior']) != type(None): logPrior = self.UserInput.model['custom_logPrior'](discreteParameterVector) return logPrior + boundsChecksPassed = self.doInputParameterBoundsChecks(discreteParameterVector) + if boundsChecksPassed == False: #If false, return a 'zero probability' type result. Else, continue getting log of prior.. + return float('-inf') #This approximates zero probability. if self.UserInput.parameter_estimation_settings['scaling_uncertainties_type'] == "off": discreteParameterVector_scaled = np.array(discreteParameterVector)*1.0 elif self.UserInput.parameter_estimation_settings['scaling_uncertainties_type'] != "off": @@ -959,7 +987,19 @@ def getLogPrior(self,discreteParameterVector): else: #TODO: If we're in the else statemnt, then the scaling uncertainties is a covariance matrix, for which we plan to do row and column scaling, which has not yet been implemented. #We could pobably just use the diagonal in the short term. print("WARNING: There is an error in your self.UserInput.scaling_uncertainties. Contact the developers with a bug report.") discreteParameterVector_scaled = np.array(discreteParameterVector)*1.0 - logPrior = multivariate_normal.logpdf(x=discreteParameterVector_scaled,mean=self.UserInput.mu_prior_scaled,cov=self.UserInput.covmat_prior_scaled) + + if hasattr(self.UserInput, 'InputParametersPriorValuesUniformDistributionsIndices') == False: #this is the normal case, no uniform distributionns. + logPrior = multivariate_normal.logpdf(x=discreteParameterVector_scaled,mean=self.UserInput.mu_prior_scaled,cov=self.UserInput.covmat_prior_scaled) + elif hasattr(self.UserInput, 'InputParametersPriorValuesUniformDistributionsIndices') == True: #This means that at least one variable has a uniform prior distribution. So we need to remove that parameter before doing the multivariate_normal.logpdf. + #Note that this if-statement is intentionally after the scaling uncertainties because that feature can be compatible with the uniform distribution. + discreteParameterVector_scaled_truncated = np.delete(discreteParameterVector_scaled, self.UserInput.InputParametersPriorValuesUniformDistributionsIndices) #delete does not change original array. + mu_prior_scaled_truncated = np.delete(self.UserInput.mu_prior_scaled, self.UserInput.InputParametersPriorValuesUniformDistributionsIndices) #delete does not change original array. + var_prior_scaled_truncated = np.delete(self.UserInput.var_prior_scaled, self.UserInput.InputParametersPriorValuesUniformDistributionsIndices) #delete does not change original array. + #Presently, we don't have full covmat support with uniform distributions. In principle, it would be better to use covmat_prior_scaled and delete the rows and columns since then we might have covmat support. + #For now, we just make the truncated covmat from the var_prior. We currently don't have full covmat support for the case of uniform distributions. + covmat_prior_scaled_truncated = np.diagflat(var_prior_scaled_truncated) + logPrior = multivariate_normal.logpdf(x=discreteParameterVector_scaled_truncated,mean=mu_prior_scaled_truncated,cov=covmat_prior_scaled_truncated) + #Note: Below code should be okay regardless of whether there are uniform distributions since it only adjusts logPrior by a scalar. if self.UserInput.parameter_estimation_settings['undo_scaling_uncertainties_type'] == True: try: scaling_factor = float(self.UserInput.parameter_estimation_settings['scaling_uncertainties_type']) @@ -974,12 +1014,11 @@ def doInputParameterBoundsChecks(self, discreteParameterVector): #Bounds are con upperCheck = boundsCheck(discreteParameterVector, self.UserInput.model['InputParameterPriorValues_upperBounds'], 'upper') if upperCheck == False: return False - elif len(self.UserInput.model['InputParameterPriorValues_lowerBounds']) > 0: + if len(self.UserInput.model['InputParameterPriorValues_lowerBounds']) > 0: lowerCheck = boundsCheck(discreteParameterVector, self.UserInput.model['InputParameterPriorValues_lowerBounds'], 'lower') if lowerCheck == False: return False - else: - return True + return True #If the test has gotten here without failing any of the tests, we return true. #This helper function must be used because it allows for the output processing function etc. It has been separated from getLogLikelihood so that it can be used by doOptimizeSSR etc. def getSimulatedResponses(self, discreteParameterVector): @@ -1268,8 +1307,8 @@ def callback(self, discreteParameterVector, *extraArgs): if self.FirstCall == True: parameterNamesString = "" for parameterIndex in range(len(discreteParameterVector)): - parmeterName = f"Par-{parameterIndex+1}" - parameterNamesString += f"{parmeterName:10s}\t" + parameterName = f"Par-{parameterIndex+1}" + parameterNamesString += f"{parameterName:10s}\t" headerString = "Iter " + parameterNamesString + "ObjectiveF" print(headerString) self.FirstCall = False @@ -1277,8 +1316,8 @@ def callback(self, discreteParameterVector, *extraArgs): iterationNumberString = "{0:4d} ".format(self.iterationNumber) discreteParameterVector = self.lastTrialDiscreteParameterVector #We take the stored one rather than the one provided to make sure that we're getting the same one as the stored objective function. parameterValuesString = "" - for paramaterValue in discreteParameterVector: - parameterValuesString += f"{paramaterValue:10.5e}\t" + for parameterValue in discreteParameterVector: + parameterValuesString += f"{parameterValue:10.5e}\t" currentObjectiveFunctionValue = f"{self.lastTrialObjectiveFunction:10.5e}" iterationOutputString = iterationNumberString + parameterValuesString + currentObjectiveFunctionValue print(iterationOutputString) @@ -1406,13 +1445,14 @@ def boundsCheck(parameters, parametersBounds, boundsType): if False in upperCheck: #If any of them failed, we return False. return False else: - return True + pass #else we do the lower bounds check next. if boundsType.lower() == 'lower': lowerCheck = parametersTruncated > parametersBoundsTruncated #Check if all are smaller. if False in lowerCheck: #If any of them failed, we return False. return False else: - return True + pass + return True #If we have gotten down to here without returning False, both checks have passed and we return true. if __name__ == "__main__": pass diff --git a/CheKiPEUQ/UserInput.py b/CheKiPEUQ/UserInput.py index 6ef38f0a..edbc0d72 100644 --- a/CheKiPEUQ/UserInput.py +++ b/CheKiPEUQ/UserInput.py @@ -16,6 +16,7 @@ model = {} model['InputParameterPriorValues'] = [] #Should be like: [41.5, 41.5, 13.0, 13.0, 0.1, 0.1] # Ea1_mean, Ea2_mean, log_A1_mean, log_A2_mean, gamma_1_mean, gamma_2_mean model['InputParametersPriorValuesUncertainties'] = []# Should be like: [200, 200, 13, 13, 0.1, 0.1] #If user wants to use a prior with covariance, then this must be a 2D array/ list. To assume no covariance, a 1D + #A value of -1 in the Uncertainties indicates the parameter in question is described a univorm distribution In this case, the InputParameterPriorValues_upperBounds and InputParameterPriorValues_lowerBounds must be defined for each parmeter (can be defined as None for the non-uniform parameters). model['parameterNamesAndMathTypeExpressionsDict'] = {} #This must be provided. It can be as simple as {"Param1":"1"} etc. but it must be a dictionary with strings as keys and as values. The next line is a comment with a more complicated example. #Example: model['parameterNamesAndMathTypeExpressionsDict'] = {'Ea_1':r'$E_{a1}$','Ea_2':r'$E_{a2}$','log_A1':r'$log(A_{1})$','log_A2':r'$log(A_{2})$','gamma1':r'$\gamma_{1}$','gamma2':r'$\gamma_{2}$'} model['populateIndependentVariablesFunction'] = None @@ -24,7 +25,7 @@ model['reducedParameterSpace'] = [] #This is to keep parameters as 'constants'. Any parameter index in this list will be allowed to change, the rest will be held as constants. model['responses_simulation_uncertainties'] = None #Can be none, a list/vector, or can be a function that returns the uncertainties after each simulation is done. The easiest way would be to have a function that extracts a list that gets updated in another namespace after each simulation. model['custom_logLikelihood'] = None #This should point to a function that takes the discrete parameter values as an argument and returns "logLikelihood, simulatedResponses". So the function returns a value for the logLikelihood (or proportional to it). The function must *also* return the simulated response output, though technically can just return the number 0 as the ssecond return. The function can be a simple as accessing a global dictionary. This feature is intended for cases where the likelihood cannot be described by a normal/gaussian distribution. -model['custom_logPrior'] = None #This feature has not been implemented yet, but is intended for cases where the prior distribution is not described by a normal distribution. The user will provide a function that takes in the parameters and returns a logPrior (or something proportional to a logPrior). +model['custom_logPrior'] = None #This feature has been implemented but not tested, it is intended for cases where the prior distribution is not described by a normal distribution. The user will provide a function that takes in the parameters and returns a logPrior (or something proportional to a logPrior). If MCMC will be performed, the user will still need to fill out InputParametersPriorValuesUncertainties with std deviations or a covariance matrix since that is used to decide the mcmc steps. model['InputParameterPriorValues_upperBounds'] = [] #This should be a list/array of the same shape as InputParameterPriorValues. Use a value of "None" for any parameter that should not be bounded in this direction. The code then truncates any distribution to have a probability of ~0 when any of the parameters go outside of their bounds. ##As of May 4th 2020, this only has been checked for scaling_uncertainties_type = 'off' model['InputParameterPriorValues_lowerBounds'] = []#This should be a list/array of the same shape as InputParameterPriorValues. Use a value of "None" for any parameter that should not be bounded in this direction. The code then truncates any distribution to have a probability of ~0 when any of the parameters go outside of their bounds. ##As of May 4th 2020, this only has been checked for scaling_uncertainties_type = 'off' diff --git a/Examples/Example07/PosteriorContourPlots.png b/Examples/Example07/PosteriorContourPlots.png index 2d3948c9..bdbe1ffe 100644 Binary files a/Examples/Example07/PosteriorContourPlots.png and b/Examples/Example07/PosteriorContourPlots.png differ diff --git a/Examples/Example07/calculated_resultObj1.p b/Examples/Example07/calculated_resultObj1.p index e03b7926..a7bc61ad 100644 Binary files a/Examples/Example07/calculated_resultObj1.p and b/Examples/Example07/calculated_resultObj1.p differ diff --git a/Examples/Example07/calculated_resultStr1.txt b/Examples/Example07/calculated_resultStr1.txt index 67b75de6..43b57181 100644 --- a/Examples/Example07/calculated_resultStr1.txt +++ b/Examples/Example07/calculated_resultStr1.txt @@ -1 +1 @@ -(array([1.4727147 , 3.95779236]), array([1.46310408, 3.94220832])) \ No newline at end of file +(array([1.4727146 , 3.95779291]), array([1.46310406, 3.94220875])) \ No newline at end of file diff --git a/Examples/Example07/mcmc_logP_and_parameter_samples.csv b/Examples/Example07/mcmc_logP_and_parameter_samples.csv index 24d33fee..08e7622f 100644 --- a/Examples/Example07/mcmc_logP_and_parameter_samples.csv +++ b/Examples/Example07/mcmc_logP_and_parameter_samples.csv @@ -1,1900 +1,1900 @@ --5.101760526302005161e+00,1.096335780118451897e+00,4.114287318066073951e+00 --5.219857483216056693e+00,1.910118735394834788e+00,3.645167682876111037e+00 --5.276582808728365492e+00,2.068195105049422278e+00,4.167281195917388104e+00 --5.276582808728365492e+00,2.068195105049422278e+00,4.167281195917388104e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.044609217875289708e+00,1.161523688342016136e+00,4.065489476276773040e+00 --5.280732333117598820e+00,9.043795294155169140e-01,4.014644293073648562e+00 --5.280732333117598820e+00,9.043795294155169140e-01,4.014644293073648562e+00 --5.280732333117598820e+00,9.043795294155169140e-01,4.014644293073648562e+00 --5.280732333117598820e+00,9.043795294155169140e-01,4.014644293073648562e+00 --5.280732333117598820e+00,9.043795294155169140e-01,4.014644293073648562e+00 --5.280732333117598820e+00,9.043795294155169140e-01,4.014644293073648562e+00 --5.537452909116304056e+00,7.490925060205873010e-01,3.781283947129681966e+00 --5.623416528581104856e+00,1.027828931492410058e+00,4.688997008576100356e+00 --5.623416528581104856e+00,1.027828931492410058e+00,4.688997008576100356e+00 --5.243991250126679660e+00,1.544152237313304976e+00,4.562394609903241083e+00 --5.243991250126679660e+00,1.544152237313304976e+00,4.562394609903241083e+00 --5.243991250126679660e+00,1.544152237313304976e+00,4.562394609903241083e+00 --5.243991250126679660e+00,1.544152237313304976e+00,4.562394609903241083e+00 --5.243991250126679660e+00,1.544152237313304976e+00,4.562394609903241083e+00 --5.243991250126679660e+00,1.544152237313304976e+00,4.562394609903241083e+00 --6.077159174583766088e+00,2.510947024512242720e+00,3.640290178901217644e+00 --5.957578079255761772e+00,6.476370382989475871e-01,3.447459206974470280e+00 --5.957578079255761772e+00,6.476370382989475871e-01,3.447459206974470280e+00 --5.957578079255761772e+00,6.476370382989475871e-01,3.447459206974470280e+00 --5.438769936545959638e+00,1.434184780618490418e+00,4.713220976013067443e+00 --5.438769936545959638e+00,1.434184780618490418e+00,4.713220976013067443e+00 --5.531502207813351113e+00,1.075838074388214105e+00,3.347439860353115026e+00 --5.531502207813351113e+00,1.075838074388214105e+00,3.347439860353115026e+00 --5.531502207813351113e+00,1.075838074388214105e+00,3.347439860353115026e+00 --5.258567861551306954e+00,2.023590278913956375e+00,3.757787389759695618e+00 --5.838436477637472422e+00,5.689671283045212302e-01,4.214149799535865881e+00 --6.228871169900175531e+00,5.161846866823976976e-01,3.421014277927968195e+00 --6.063867468455863552e+00,4.657111136470913904e-01,3.738542861631139580e+00 --6.063867468455863552e+00,4.657111136470913904e-01,3.738542861631139580e+00 --6.063867468455863552e+00,4.657111136470913904e-01,3.738542861631139580e+00 --7.372693742764405478e+00,2.291429594490439925e+00,2.650711740616404466e+00 --7.372693742764405478e+00,2.291429594490439925e+00,2.650711740616404466e+00 --7.372693742764405478e+00,2.291429594490439925e+00,2.650711740616404466e+00 --6.378500401245660534e+00,1.926407834351419934e+00,2.872647957720968925e+00 --6.661379246340274562e+00,2.356361588921831007e+00,2.998865672079485289e+00 --6.661379246340274562e+00,2.356361588921831007e+00,2.998865672079485289e+00 --7.238444193426675000e+00,1.222871912048606680e+00,2.504710702413613710e+00 --5.574107835659960486e+00,8.408671667660325699e-01,3.537509339559994803e+00 --5.640116698851771915e+00,8.170513463231909856e-01,3.502060543364842626e+00 --5.742729883522845746e+00,6.590544110738530970e-01,3.668659891999458189e+00 --5.742729883522845746e+00,6.590544110738530970e-01,3.668659891999458189e+00 --5.742729883522845746e+00,6.590544110738530970e-01,3.668659891999458189e+00 --5.742729883522845746e+00,6.590544110738530970e-01,3.668659891999458189e+00 --5.742729883522845746e+00,6.590544110738530970e-01,3.668659891999458189e+00 --5.742729883522845746e+00,6.590544110738530970e-01,3.668659891999458189e+00 --5.742729883522845746e+00,6.590544110738530970e-01,3.668659891999458189e+00 --6.600780032636325068e+00,9.548967367029830289e-01,2.826165117164864071e+00 --6.600780032636325068e+00,9.548967367029830289e-01,2.826165117164864071e+00 --6.600780032636325068e+00,9.548967367029830289e-01,2.826165117164864071e+00 --6.600780032636325068e+00,9.548967367029830289e-01,2.826165117164864071e+00 --6.600780032636325068e+00,9.548967367029830289e-01,2.826165117164864071e+00 --6.600734157407661229e+00,1.393557450810573251e+00,2.710174427175896295e+00 --6.600734157407661229e+00,1.393557450810573251e+00,2.710174427175896295e+00 --6.600734157407661229e+00,1.393557450810573251e+00,2.710174427175896295e+00 --6.434481140209417305e+00,1.314237849798708391e+00,2.785825617572450952e+00 --6.434481140209417305e+00,1.314237849798708391e+00,2.785825617572450952e+00 --6.434481140209417305e+00,1.314237849798708391e+00,2.785825617572450952e+00 --5.346597609925501260e+00,1.146600809347583905e+00,3.455984844739571571e+00 --5.346597609925501260e+00,1.146600809347583905e+00,3.455984844739571571e+00 --5.346597609925501260e+00,1.146600809347583905e+00,3.455984844739571571e+00 --5.346597609925501260e+00,1.146600809347583905e+00,3.455984844739571571e+00 --5.346597609925501260e+00,1.146600809347583905e+00,3.455984844739571571e+00 --5.346597609925501260e+00,1.146600809347583905e+00,3.455984844739571571e+00 --5.346597609925501260e+00,1.146600809347583905e+00,3.455984844739571571e+00 --4.961530092927938895e+00,1.451833717948643576e+00,3.817090269852591256e+00 --4.961530092927938895e+00,1.451833717948643576e+00,3.817090269852591256e+00 --5.810898626206563833e+00,2.412115733009837726e+00,3.769371764556463944e+00 --6.497236603796896937e+00,1.867962136690207275e+00,5.198368197567251769e+00 --6.497236603796896937e+00,1.867962136690207275e+00,5.198368197567251769e+00 --6.497236603796896937e+00,1.867962136690207275e+00,5.198368197567251769e+00 --6.497236603796896937e+00,1.867962136690207275e+00,5.198368197567251769e+00 --6.565430910517920715e+00,9.498618915954191166e-01,5.156297902523506060e+00 --6.565430910517920715e+00,9.498618915954191166e-01,5.156297902523506060e+00 --5.532178201026402675e+00,1.531034075274903650e+00,4.778113715583746313e+00 --5.562490202421307650e+00,1.692313882865033037e+00,3.225563792130047958e+00 --5.562490202421307650e+00,1.692313882865033037e+00,3.225563792130047958e+00 --6.609502408288228104e+00,2.759434287400889474e+00,4.312367653876887807e+00 --6.609502408288228104e+00,2.759434287400889474e+00,4.312367653876887807e+00 --5.834868684634943570e+00,2.041788488827290138e+00,4.784588927522237078e+00 --5.834868684634943570e+00,2.041788488827290138e+00,4.784588927522237078e+00 --5.834868684634943570e+00,2.041788488827290138e+00,4.784588927522237078e+00 --5.834868684634943570e+00,2.041788488827290138e+00,4.784588927522237078e+00 --5.138194167895347775e+00,1.217873155221792292e+00,4.364478364971296820e+00 --5.138194167895347775e+00,1.217873155221792292e+00,4.364478364971296820e+00 --5.138194167895347775e+00,1.217873155221792292e+00,4.364478364971296820e+00 --5.138194167895347775e+00,1.217873155221792292e+00,4.364478364971296820e+00 --4.975796021299624172e+00,1.432965319736011045e+00,4.213420336713346259e+00 --4.975796021299624172e+00,1.432965319736011045e+00,4.213420336713346259e+00 --4.975796021299624172e+00,1.432965319736011045e+00,4.213420336713346259e+00 --4.975796021299624172e+00,1.432965319736011045e+00,4.213420336713346259e+00 --4.975796021299624172e+00,1.432965319736011045e+00,4.213420336713346259e+00 --5.569081240506285724e+00,7.353797117467797406e-01,3.757754417007951986e+00 --5.069417334512859696e+00,1.837168775036280843e+00,3.826851454425101107e+00 --5.056256358067328094e+00,1.141795511185873746e+00,4.046816337341232916e+00 --5.056256358067328094e+00,1.141795511185873746e+00,4.046816337341232916e+00 --5.146905750732909901e+00,1.396951789047992110e+00,4.458838407430993023e+00 --5.140761968819242966e+00,1.436636173342211498e+00,4.459339592754460568e+00 --5.140761968819242966e+00,1.436636173342211498e+00,4.459339592754460568e+00 --5.140761968819242966e+00,1.436636173342211498e+00,4.459339592754460568e+00 --5.140761968819242966e+00,1.436636173342211498e+00,4.459339592754460568e+00 --5.140761968819242966e+00,1.436636173342211498e+00,4.459339592754460568e+00 --5.200589209595541718e+00,1.473091820856130774e+00,3.476443864832038155e+00 --6.132157476471014945e+00,2.193990296545726082e+00,4.851340596913303216e+00 --8.841922744237065146e+00,2.245930400755016265e+00,5.832963842700623402e+00 --1.083684152154136981e+01,2.328114922159168820e+00,6.285894368604987292e+00 --1.026300960021718645e+01,1.997608559678125673e+00,6.256023312985385942e+00 --6.625478596814652121e+00,2.480700410401730949e+00,4.859040842471321398e+00 --6.625478596814652121e+00,2.480700410401730949e+00,4.859040842471321398e+00 --6.625478596814652121e+00,2.480700410401730949e+00,4.859040842471321398e+00 --5.868332085677577581e+00,2.383561803345821239e+00,3.597636367787585332e+00 --6.900072776464527990e+00,9.355201270926969404e-01,2.713267270670248532e+00 --6.900072776464527990e+00,9.355201270926969404e-01,2.713267270670248532e+00 --6.900072776464527990e+00,9.355201270926969404e-01,2.713267270670248532e+00 --7.796676688574200931e+00,9.252609550995993803e-01,2.406074786565415291e+00 --7.796676688574200931e+00,9.252609550995993803e-01,2.406074786565415291e+00 --7.719167014722883025e+00,2.786710003616057030e+00,2.933327487698984992e+00 --8.206699710732699771e+00,2.791382842299579004e+00,2.729852003690802498e+00 --7.706517506718322252e+00,2.722899878345771629e+00,2.866298424874725637e+00 --7.706517506718322252e+00,2.722899878345771629e+00,2.866298424874725637e+00 --6.926648504946019358e+00,2.332049891443830347e-01,3.370615560568386737e+00 --6.926648504946019358e+00,2.332049891443830347e-01,3.370615560568386737e+00 --6.926648504946019358e+00,2.332049891443830347e-01,3.370615560568386737e+00 --6.336443101578034032e+00,3.333626635406126693e-01,3.777185516767223028e+00 --6.336443101578034032e+00,3.333626635406126693e-01,3.777185516767223028e+00 --8.322497816205617127e+00,4.497786257025998546e-01,5.514522614012681956e+00 --8.322497816205617127e+00,4.497786257025998546e-01,5.514522614012681956e+00 --6.652488909366097047e+00,2.631077075366479168e-01,4.443657788607570325e+00 --6.652488909366097047e+00,2.631077075366479168e-01,4.443657788607570325e+00 --6.030682801436670459e+00,5.873048929138183771e-01,3.478544047767289094e+00 --6.030682801436670459e+00,5.873048929138183771e-01,3.478544047767289094e+00 --7.104356509531313257e+00,1.361035831229489235e+00,2.530547266323090128e+00 --6.287630945275736849e+00,3.369088101141426428e-01,3.904628639168006288e+00 --6.287630945275736849e+00,3.369088101141426428e-01,3.904628639168006288e+00 --6.287630945275736849e+00,3.369088101141426428e-01,3.904628639168006288e+00 --6.287630945275736849e+00,3.369088101141426428e-01,3.904628639168006288e+00 --6.287630945275736849e+00,3.369088101141426428e-01,3.904628639168006288e+00 --5.142013668664727533e+00,1.314968837328394979e+00,4.426641541210453390e+00 --4.975633981345771062e+00,1.362137565679758078e+00,4.175709412754060601e+00 --5.518940956504128081e+00,1.126108028127405625e+00,4.673343609945665555e+00 --5.457880728804864745e+00,1.364552908892713079e+00,4.716784961823801581e+00 --4.991884583399748720e+00,1.735938864616186406e+00,4.102290286658521801e+00 --4.991884583399748720e+00,1.735938864616186406e+00,4.102290286658521801e+00 --4.991884583399748720e+00,1.735938864616186406e+00,4.102290286658521801e+00 --5.277513340235508110e+00,1.469565517794040099e+00,4.592311530961260324e+00 --5.277513340235508110e+00,1.469565517794040099e+00,4.592311530961260324e+00 --5.277513340235508110e+00,1.469565517794040099e+00,4.592311530961260324e+00 --5.277513340235508110e+00,1.469565517794040099e+00,4.592311530961260324e+00 --6.305745181163437962e+00,1.948988894492097668e+00,5.085541349266581967e+00 --6.848328042905876600e+00,6.496341703206858220e-01,5.095194898545915230e+00 --6.495985082965333390e+00,9.844473242594417028e-01,5.142119253267098067e+00 --6.111419683887158172e+00,6.803321233664172407e-01,3.283194501218453354e+00 --6.111419683887158172e+00,6.803321233664172407e-01,3.283194501218453354e+00 --6.111419683887158172e+00,6.803321233664172407e-01,3.283194501218453354e+00 --6.561963180702152343e+00,5.886238778968739815e-01,3.102446318071320430e+00 --7.055929547025844073e+00,1.005058524058187741e+00,2.626971103873012581e+00 --6.778419650598676682e+00,1.477268527642369378e+00,2.639063264532682140e+00 --6.778419650598676682e+00,1.477268527642369378e+00,2.639063264532682140e+00 --6.778419650598676682e+00,1.477268527642369378e+00,2.639063264532682140e+00 --5.989654885855706823e+00,1.272114696557113955e+00,2.994033280117200047e+00 --5.862033752361888617e+00,1.796050009751769094e+00,3.078786663541405844e+00 --5.862033752361888617e+00,1.796050009751769094e+00,3.078786663541405844e+00 --5.862033752361888617e+00,1.796050009751769094e+00,3.078786663541405844e+00 --5.862033752361888617e+00,1.796050009751769094e+00,3.078786663541405844e+00 --5.862033752361888617e+00,1.796050009751769094e+00,3.078786663541405844e+00 --5.986797707384930334e+00,1.507638281157441362e+00,2.969958626448820471e+00 --6.169890702538881833e+00,1.263975886505481760e+00,2.909849006986042319e+00 --6.169890702538881833e+00,1.263975886505481760e+00,2.909849006986042319e+00 --5.155753922821907587e+00,1.434153281556132420e+00,3.524958949486056703e+00 --5.907563669395903716e+00,2.284524895089386831e+00,4.605252199964774640e+00 --5.907563669395903716e+00,2.284524895089386831e+00,4.605252199964774640e+00 --5.907563669395903716e+00,2.284524895089386831e+00,4.605252199964774640e+00 --5.907563669395903716e+00,2.284524895089386831e+00,4.605252199964774640e+00 --5.907563669395903716e+00,2.284524895089386831e+00,4.605252199964774640e+00 --6.381306249109769624e+00,5.837144682787656080e-01,4.784839436222093845e+00 --6.374478687420534584e+00,2.123216973312528122e+00,5.029720913052179831e+00 --7.279428174302747578e+00,1.529621308772821875e+00,5.533882857179987624e+00 --7.279428174302747578e+00,1.529621308772821875e+00,5.533882857179987624e+00 --7.279428174302747578e+00,1.529621308772821875e+00,5.533882857179987624e+00 --7.034157753170897642e+00,2.471568877135903453e+00,5.079100337009069044e+00 --7.034157753170897642e+00,2.471568877135903453e+00,5.079100337009069044e+00 --7.034157753170897642e+00,2.471568877135903453e+00,5.079100337009069044e+00 --6.967067102588473837e+00,2.218325838491459923e+00,5.235038849399209937e+00 --7.261753504588652319e+00,2.979367984573514594e+00,4.384017887589704898e+00 --7.261753504588652319e+00,2.979367984573514594e+00,4.384017887589704898e+00 --5.470349415586063913e+00,2.232038344190941270e+00,4.093354943101896737e+00 --5.470349415586063913e+00,2.232038344190941270e+00,4.093354943101896737e+00 --5.470349415586063913e+00,2.232038344190941270e+00,4.093354943101896737e+00 --5.470349415586063913e+00,2.232038344190941270e+00,4.093354943101896737e+00 --5.470349415586063913e+00,2.232038344190941270e+00,4.093354943101896737e+00 --5.060684901553347714e+00,1.206237915671682259e+00,4.220532552122671532e+00 --5.455186093069288589e+00,8.535311836809171826e-01,3.666068824789296965e+00 --5.455186093069288589e+00,8.535311836809171826e-01,3.666068824789296965e+00 --5.455186093069288589e+00,8.535311836809171826e-01,3.666068824789296965e+00 --5.398953395374890718e+00,8.592402326883228358e-01,3.749747760947307551e+00 --5.398953395374890718e+00,8.592402326883228358e-01,3.749747760947307551e+00 --5.398953395374890718e+00,8.592402326883228358e-01,3.749747760947307551e+00 --5.398953395374890718e+00,8.592402326883228358e-01,3.749747760947307551e+00 --5.398953395374890718e+00,8.592402326883228358e-01,3.749747760947307551e+00 --5.398953395374890718e+00,8.592402326883228358e-01,3.749747760947307551e+00 --5.236754490344280200e+00,1.971062005628272606e+00,3.701502186977762232e+00 --5.236754490344280200e+00,1.971062005628272606e+00,3.701502186977762232e+00 --5.236754490344280200e+00,1.971062005628272606e+00,3.701502186977762232e+00 --6.322725255041676817e+00,7.465102055537151671e-01,4.910617511301139437e+00 --6.322725255041676817e+00,7.465102055537151671e-01,4.910617511301139437e+00 --7.705888464941004656e+00,2.146571097786546645e+00,2.463093969160959240e+00 --6.988884868534425365e+00,2.263944498564072205e+00,2.783644978293992267e+00 --5.019241619013726563e+00,1.793653441146253469e+00,3.914822874561299848e+00 --5.019241619013726563e+00,1.793653441146253469e+00,3.914822874561299848e+00 --5.019241619013726563e+00,1.793653441146253469e+00,3.914822874561299848e+00 --5.019241619013726563e+00,1.793653441146253469e+00,3.914822874561299848e+00 --5.392742686223102488e+00,2.181949839022790272e+00,3.956034440055855583e+00 --5.392742686223102488e+00,2.181949839022790272e+00,3.956034440055855583e+00 --5.392742686223102488e+00,2.181949839022790272e+00,3.956034440055855583e+00 --5.392742686223102488e+00,2.181949839022790272e+00,3.956034440055855583e+00 --5.392742686223102488e+00,2.181949839022790272e+00,3.956034440055855583e+00 --5.392742686223102488e+00,2.181949839022790272e+00,3.956034440055855583e+00 --5.392742686223102488e+00,2.181949839022790272e+00,3.956034440055855583e+00 --6.467136653548466896e+00,2.117964681179140829e+00,2.923198173504084618e+00 --6.467136653548466896e+00,2.117964681179140829e+00,2.923198173504084618e+00 --6.467136653548466896e+00,2.117964681179140829e+00,2.923198173504084618e+00 --6.467136653548466896e+00,2.117964681179140829e+00,2.923198173504084618e+00 --6.114344377477026526e+00,1.933012440617137173e+00,2.999454913095303432e+00 --6.349343264567432144e+00,1.420537507608592875e+00,2.809506470386467392e+00 --6.349343264567432144e+00,1.420537507608592875e+00,2.809506470386467392e+00 --5.213952586878668249e+00,2.035403248039634683e+00,3.960734034475296816e+00 --5.213952586878668249e+00,2.035403248039634683e+00,3.960734034475296816e+00 --5.213952586878668249e+00,2.035403248039634683e+00,3.960734034475296816e+00 --5.213952586878668249e+00,2.035403248039634683e+00,3.960734034475296816e+00 --5.213952586878668249e+00,2.035403248039634683e+00,3.960734034475296816e+00 --5.213952586878668249e+00,2.035403248039634683e+00,3.960734034475296816e+00 --5.213952586878668249e+00,2.035403248039634683e+00,3.960734034475296816e+00 --5.213952586878668249e+00,2.035403248039634683e+00,3.960734034475296816e+00 --5.213952586878668249e+00,2.035403248039634683e+00,3.960734034475296816e+00 --5.127517767380648905e+00,1.889430190989505487e+00,3.776152371225791171e+00 --5.127517767380648905e+00,1.889430190989505487e+00,3.776152371225791171e+00 --5.127517767380648905e+00,1.889430190989505487e+00,3.776152371225791171e+00 --5.127517767380648905e+00,1.889430190989505487e+00,3.776152371225791171e+00 --5.031122460289921605e+00,1.353839240098904106e+00,4.289836781199980464e+00 --5.031122460289921605e+00,1.353839240098904106e+00,4.289836781199980464e+00 --5.251386468221845405e+00,9.546436528026717161e-01,3.832015506743204014e+00 --4.968510211142885602e+00,1.527346453062700338e+00,3.795040858147082030e+00 --4.968510211142885602e+00,1.527346453062700338e+00,3.795040858147082030e+00 --4.968510211142885602e+00,1.527346453062700338e+00,3.795040858147082030e+00 --5.155915395376836408e+00,1.021727020274931785e+00,4.037632690882399622e+00 --5.155915395376836408e+00,1.021727020274931785e+00,4.037632690882399622e+00 --5.155915395376836408e+00,1.021727020274931785e+00,4.037632690882399622e+00 --5.155915395376836408e+00,1.021727020274931785e+00,4.037632690882399622e+00 --5.155915395376836408e+00,1.021727020274931785e+00,4.037632690882399622e+00 --4.937065352065577173e+00,1.406699560380255898e+00,4.051051417352008244e+00 --4.937065352065577173e+00,1.406699560380255898e+00,4.051051417352008244e+00 --5.135448083489846383e+00,1.845077342992753611e+00,4.301024215013041108e+00 --5.135448083489846383e+00,1.845077342992753611e+00,4.301024215013041108e+00 --5.246236561857612557e+00,1.749324258688333522e+00,4.508251751662927909e+00 --5.362710946179667815e+00,1.604889558824295515e+00,4.652652276339109605e+00 --5.362710946179667815e+00,1.604889558824295515e+00,4.652652276339109605e+00 --5.700822366235687610e+00,2.352949165286395417e+00,3.781949650644079508e+00 --5.505561535992833377e+00,2.052778946315005015e+00,3.476317997554799089e+00 --8.270826467090925505e+00,1.515432636931703048e+00,2.171111220442979217e+00 --8.270826467090925505e+00,1.515432636931703048e+00,2.171111220442979217e+00 --8.270826467090925505e+00,1.515432636931703048e+00,2.171111220442979217e+00 --7.635208610404284890e+00,1.841720028409811416e+00,2.389819295926947529e+00 --7.635208610404284890e+00,1.841720028409811416e+00,2.389819295926947529e+00 --7.635208610404284890e+00,1.841720028409811416e+00,2.389819295926947529e+00 --5.523091753086834643e+00,1.092657279383805635e+00,3.343182271684799645e+00 --5.523091753086834643e+00,1.092657279383805635e+00,3.343182271684799645e+00 --5.248548536250163821e+00,1.326273052047954426e+00,4.540937474193404100e+00 --5.248548536250163821e+00,1.326273052047954426e+00,4.540937474193404100e+00 --5.222902286478937839e+00,1.130988405745466663e+00,3.598778618508466032e+00 --4.928754809044850305e+00,1.445283534996074204e+00,3.997395257472745378e+00 --4.928754809044850305e+00,1.445283534996074204e+00,3.997395257472745378e+00 --4.979986300166331148e+00,1.628448353720816755e+00,3.805749677544533860e+00 --4.979986300166331148e+00,1.628448353720816755e+00,3.805749677544533860e+00 --4.979986300166331148e+00,1.628448353720816755e+00,3.805749677544533860e+00 --4.979986300166331148e+00,1.628448353720816755e+00,3.805749677544533860e+00 --5.391366794057214307e+00,1.992846454122958466e+00,4.471926937032577598e+00 --5.391366794057214307e+00,1.992846454122958466e+00,4.471926937032577598e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.107173266454365645e+00,1.077318210310393543e+00,4.052528452294609451e+00 --5.527488906800224200e+00,2.267384343040222294e+00,4.113384496463403650e+00 --6.066715006661472565e+00,1.961550451237360049e+00,3.036707700225226958e+00 --6.066715006661472565e+00,1.961550451237360049e+00,3.036707700225226958e+00 --6.651400826774785280e+00,1.227032177416920611e+00,2.715034918065729386e+00 --5.837373120631384360e+00,7.856708995080418090e-01,3.366475790515434774e+00 --5.236543610893249934e+00,1.288366255500477120e+00,3.484247504840092713e+00 --5.236543610893249934e+00,1.288366255500477120e+00,3.484247504840092713e+00 --5.054728313426774200e+00,1.823391066388700743e+00,3.843819339263587764e+00 --5.054728313426774200e+00,1.823391066388700743e+00,3.843819339263587764e+00 --5.054728313426774200e+00,1.823391066388700743e+00,3.843819339263587764e+00 --5.816933182459264273e+00,5.681825475992727803e-01,3.848688119957511589e+00 --5.816933182459264273e+00,5.681825475992727803e-01,3.848688119957511589e+00 --8.733935423872248194e+00,-4.491798414676020368e-01,4.094229701633249618e+00 --8.733935423872248194e+00,-4.491798414676020368e-01,4.094229701633249618e+00 --8.733935423872248194e+00,-4.491798414676020368e-01,4.094229701633249618e+00 --5.140101170920917006e+00,1.331715254930925241e+00,3.568691198003955733e+00 --6.149260579059978582e+00,2.004370367819787280e+00,4.984437391765784042e+00 --5.862379604059995586e+00,2.015171362289764900e+00,4.819282575621996578e+00 --5.862379604059995586e+00,2.015171362289764900e+00,4.819282575621996578e+00 --5.862379604059995586e+00,2.015171362289764900e+00,4.819282575621996578e+00 --5.262741961119496104e+00,1.657430334879808509e+00,4.558751749849999868e+00 --5.549926611438150026e+00,1.856944129576949543e+00,3.295185579758747707e+00 --5.960281341410098577e+00,2.107710264052533145e+00,3.184392592262301314e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.478244632937344427e+00,1.233469866591122788e+00,3.306132441957617019e+00 --5.384226777051295265e+00,1.640131438891150761e+00,3.337553153779942772e+00 --5.384226777051295265e+00,1.640131438891150761e+00,3.337553153779942772e+00 --5.139988318137458378e+00,1.756882893284769986e+00,3.614973553562339958e+00 --7.596981993980041814e+00,2.608313737770715512e+00,2.798805378038156100e+00 --6.561128876771176621e+00,2.775744393109316643e+00,4.088605797793526619e+00 --6.561128876771176621e+00,2.775744393109316643e+00,4.088605797793526619e+00 --6.644140833012808223e+00,1.893170072120442526e-01,4.022288844979604150e+00 --6.644140833012808223e+00,1.893170072120442526e-01,4.022288844979604150e+00 --6.644140833012808223e+00,1.893170072120442526e-01,4.022288844979604150e+00 --8.562801223123209127e+00,1.417254051645389090e-01,5.338707292625644030e+00 --8.467705854122201004e+00,1.802015719768157220e+00,5.857616275315338683e+00 --7.530044082594572252e+00,2.945457826343560903e+00,4.717594329714239976e+00 --5.748980705783747425e+00,2.356334504065398683e+00,3.700137047783284672e+00 --5.748980705783747425e+00,2.356334504065398683e+00,3.700137047783284672e+00 --5.160221811092407407e+00,1.919973455627147052e+00,4.241018619285542357e+00 --5.160221811092407407e+00,1.919973455627147052e+00,4.241018619285542357e+00 --5.517463985396146242e+00,1.837476964203728302e+00,4.691244639190273347e+00 --4.983904291067787540e+00,1.460133898785020090e+00,4.237825255645848443e+00 --4.983904291067787540e+00,1.460133898785020090e+00,4.237825255645848443e+00 --4.983904291067787540e+00,1.460133898785020090e+00,4.237825255645848443e+00 --5.223839313843454235e+00,2.025603591190513697e+00,4.147736406997054814e+00 --4.946860236750531215e+00,1.373684963553543081e+00,3.928232211268769536e+00 --5.398877324048982906e+00,1.712578196790090601e+00,3.345833582733135358e+00 --5.398877324048982906e+00,1.712578196790090601e+00,3.345833582733135358e+00 --5.398877324048982906e+00,1.712578196790090601e+00,3.345833582733135358e+00 --5.398877324048982906e+00,1.712578196790090601e+00,3.345833582733135358e+00 --5.066867197571052195e+00,1.665362119605578117e+00,3.662704233421301581e+00 --5.360843575673325034e+00,1.720391760983414731e+00,3.378295154799913824e+00 --5.360843575673325034e+00,1.720391760983414731e+00,3.378295154799913824e+00 --5.486868829280580506e+00,2.227711532614748968e+00,3.822375053099562159e+00 --5.486868829280580506e+00,2.227711532614748968e+00,3.822375053099562159e+00 --5.486868829280580506e+00,2.227711532614748968e+00,3.822375053099562159e+00 --5.486868829280580506e+00,2.227711532614748968e+00,3.822375053099562159e+00 --5.833473399470145537e+00,2.281166792587928871e+00,3.454566494603290572e+00 --5.833473399470145537e+00,2.281166792587928871e+00,3.454566494603290572e+00 --5.833473399470145537e+00,2.281166792587928871e+00,3.454566494603290572e+00 --5.766582946533133303e+00,2.397519242435035558e+00,3.812148933531686268e+00 --5.750278686932272620e+00,1.732484950301167004e+00,4.877767225406056006e+00 --5.750278686932272620e+00,1.732484950301167004e+00,4.877767225406056006e+00 --5.750278686932272620e+00,1.732484950301167004e+00,4.877767225406056006e+00 --5.750278686932272620e+00,1.732484950301167004e+00,4.877767225406056006e+00 --5.205975291212280531e+00,9.786167755868905305e-01,4.091546117854219844e+00 --5.205975291212280531e+00,9.786167755868905305e-01,4.091546117854219844e+00 --4.972659825553955137e+00,1.667236011004193053e+00,4.137614713452704152e+00 --4.972659825553955137e+00,1.667236011004193053e+00,4.137614713452704152e+00 --5.086860917843141650e+00,1.326531391916721647e+00,3.638039467574017749e+00 --5.282093123277351587e+00,1.928655165566805607e+00,3.584555973094382342e+00 --5.282093123277351587e+00,1.928655165566805607e+00,3.584555973094382342e+00 --6.547944897058575187e+00,2.554745723893986131e+00,4.713934326228425675e+00 --6.547944897058575187e+00,2.554745723893986131e+00,4.713934326228425675e+00 --6.547944897058575187e+00,2.554745723893986131e+00,4.713934326228425675e+00 --6.547944897058575187e+00,2.554745723893986131e+00,4.713934326228425675e+00 --5.130592830505804613e+00,1.875825361346577624e+00,3.747821500805821771e+00 --5.130592830505804613e+00,1.875825361346577624e+00,3.747821500805821771e+00 --5.130592830505804613e+00,1.875825361346577624e+00,3.747821500805821771e+00 --5.130592830505804613e+00,1.875825361346577624e+00,3.747821500805821771e+00 --5.130592830505804613e+00,1.875825361346577624e+00,3.747821500805821771e+00 --5.220626429135823088e+00,1.925337724360261404e+00,4.337579792868540451e+00 --5.220626429135823088e+00,1.925337724360261404e+00,4.337579792868540451e+00 --5.220626429135823088e+00,1.925337724360261404e+00,4.337579792868540451e+00 --5.220626429135823088e+00,1.925337724360261404e+00,4.337579792868540451e+00 --5.220626429135823088e+00,1.925337724360261404e+00,4.337579792868540451e+00 --5.220626429135823088e+00,1.925337724360261404e+00,4.337579792868540451e+00 --5.220626429135823088e+00,1.925337724360261404e+00,4.337579792868540451e+00 --6.449457180193369332e+00,2.636387539390949719e+00,3.517997502401012611e+00 --7.181809698081649707e+00,2.765402086425349459e+00,4.809205242774249101e+00 --7.181809698081649707e+00,2.765402086425349459e+00,4.809205242774249101e+00 --5.375132535955593482e+00,2.132209996640589189e+00,3.777089876217770925e+00 --5.375132535955593482e+00,2.132209996640589189e+00,3.777089876217770925e+00 --5.375132535955593482e+00,2.132209996640589189e+00,3.777089876217770925e+00 --8.328769384846783197e+00,1.645022253001934942e+00,2.160982926081887356e+00 --8.328769384846783197e+00,1.645022253001934942e+00,2.160982926081887356e+00 --8.328769384846783197e+00,1.645022253001934942e+00,2.160982926081887356e+00 --8.328769384846783197e+00,1.645022253001934942e+00,2.160982926081887356e+00 --8.328769384846783197e+00,1.645022253001934942e+00,2.160982926081887356e+00 --8.328769384846783197e+00,1.645022253001934942e+00,2.160982926081887356e+00 --8.328769384846783197e+00,1.645022253001934942e+00,2.160982926081887356e+00 --8.328769384846783197e+00,1.645022253001934942e+00,2.160982926081887356e+00 --7.433715810108958877e+00,1.276290056883527368e+00,2.432225928699835560e+00 --7.433715810108958877e+00,1.276290056883527368e+00,2.432225928699835560e+00 --7.433715810108958877e+00,1.276290056883527368e+00,2.432225928699835560e+00 --7.433715810108958877e+00,1.276290056883527368e+00,2.432225928699835560e+00 --7.433715810108958877e+00,1.276290056883527368e+00,2.432225928699835560e+00 --7.433715810108958877e+00,1.276290056883527368e+00,2.432225928699835560e+00 --8.385044825293768156e+00,3.624611475742063327e-01,2.528505504020865935e+00 --5.823959947929502334e+00,1.021375979212930218e+00,3.181999473205285422e+00 --5.823959947929502334e+00,1.021375979212930218e+00,3.181999473205285422e+00 --5.555954853122411663e+00,9.397904796108469405e-01,3.437535766853504260e+00 --5.731872198470979285e+00,8.082552136291252243e-01,3.427630175340277141e+00 --5.731872198470979285e+00,8.082552136291252243e-01,3.427630175340277141e+00 --5.731872198470979285e+00,8.082552136291252243e-01,3.427630175340277141e+00 --5.726667631817813131e+00,2.084676276375470927e+00,3.322455056219267178e+00 --6.293957791406334934e+00,2.669701969173723821e+00,4.000980764373589516e+00 --6.293957791406334934e+00,2.669701969173723821e+00,4.000980764373589516e+00 --6.293957791406334934e+00,2.669701969173723821e+00,4.000980764373589516e+00 --5.743924851864409931e+00,2.389802414880109804e+00,3.837450372134404208e+00 --5.264399969252561817e+00,2.072761872647920001e+00,3.897093859878436817e+00 --5.149492238047365333e+00,1.966903680931453291e+00,3.924243429583079479e+00 --5.370797983718913926e+00,9.998691851351234616e-01,4.441489545655180393e+00 --5.370797983718913926e+00,9.998691851351234616e-01,4.441489545655180393e+00 --5.407151938400437174e+00,8.407000084863209821e-01,3.783848833517351906e+00 --5.407151938400437174e+00,8.407000084863209821e-01,3.783848833517351906e+00 --5.457551836436367765e+00,2.223754867717915307e+00,4.089311785741299055e+00 --5.457551836436367765e+00,2.223754867717915307e+00,4.089311785741299055e+00 --5.457551836436367765e+00,2.223754867717915307e+00,4.089311785741299055e+00 --5.395637736764768988e+00,1.411907141738230287e+00,4.679796478564981932e+00 --5.427667825436132354e+00,2.197396691691147375e+00,3.875294157972913212e+00 --5.319873918589915540e+00,1.472804360263050505e+00,3.372799726602002224e+00 --5.283619808016143615e+00,2.095333463328505452e+00,4.058683410251451740e+00 --5.283619808016143615e+00,2.095333463328505452e+00,4.058683410251451740e+00 --5.636062706470385208e+00,1.324869650608753391e+00,3.175598438639400278e+00 --5.146884991812644472e+00,1.198046198444193688e+00,4.360492386493738159e+00 --6.375741238825606949e+00,1.499797755938298449e+00,2.795845913055868159e+00 --6.558169203736710529e+00,2.702045312727096693e+00,3.566984830440276699e+00 --6.558169203736710529e+00,2.702045312727096693e+00,3.566984830440276699e+00 --5.060044155609888961e+00,1.436631649457854376e+00,3.639064444892489369e+00 --5.408172260954576593e+00,2.181547946884397238e+00,3.866169793269424559e+00 --5.414534438367850200e+00,1.838107191077160030e+00,4.611934500490920463e+00 --5.414534438367850200e+00,1.838107191077160030e+00,4.611934500490920463e+00 --5.414534438367850200e+00,1.838107191077160030e+00,4.611934500490920463e+00 --6.328751634955225747e+00,1.435974835394258520e+00,5.182750303501860500e+00 --6.328751634955225747e+00,1.435974835394258520e+00,5.182750303501860500e+00 --5.144149492191532502e+00,1.449038087475351455e+00,4.464540894695689488e+00 --5.144149492191532502e+00,1.449038087475351455e+00,4.464540894695689488e+00 --5.144149492191532502e+00,1.449038087475351455e+00,4.464540894695689488e+00 --5.144149492191532502e+00,1.449038087475351455e+00,4.464540894695689488e+00 --5.144149492191532502e+00,1.449038087475351455e+00,4.464540894695689488e+00 --6.429534110391319501e+00,2.890788663226242505e-01,4.193519987562338791e+00 --6.429534110391319501e+00,2.890788663226242505e-01,4.193519987562338791e+00 --6.429534110391319501e+00,2.890788663226242505e-01,4.193519987562338791e+00 --6.429534110391319501e+00,2.890788663226242505e-01,4.193519987562338791e+00 --6.429534110391319501e+00,2.890788663226242505e-01,4.193519987562338791e+00 --6.429534110391319501e+00,2.890788663226242505e-01,4.193519987562338791e+00 --6.429534110391319501e+00,2.890788663226242505e-01,4.193519987562338791e+00 --6.429534110391319501e+00,2.890788663226242505e-01,4.193519987562338791e+00 --6.429534110391319501e+00,2.890788663226242505e-01,4.193519987562338791e+00 --5.798054148886312653e+00,2.309377863572187550e+00,3.533944756464490133e+00 --7.430001873241753430e+00,2.038624681672868366e+00,2.512004303529118410e+00 --7.430001873241753430e+00,2.038624681672868366e+00,2.512004303529118410e+00 --7.430001873241753430e+00,2.038624681672868366e+00,2.512004303529118410e+00 --6.549011044019435346e+00,1.467930884812159942e+00,2.726332663898530573e+00 --6.549011044019435346e+00,1.467930884812159942e+00,2.726332663898530573e+00 --5.965402886257649584e+00,1.534087468586209368e+00,5.019061724295610816e+00 --5.965402886257649584e+00,1.534087468586209368e+00,5.019061724295610816e+00 --6.665092146630827941e+00,2.723330242385058497e+00,4.492748548326884084e+00 --6.665092146630827941e+00,2.723330242385058497e+00,4.492748548326884084e+00 --6.665092146630827941e+00,2.723330242385058497e+00,4.492748548326884084e+00 --6.662692156484693484e+00,2.715105193116659876e+00,4.510350265334434283e+00 --6.559243737841200961e+00,2.105241010121969403e+00,5.125687756302363063e+00 --5.600349506405421174e+00,1.252903285200370309e+00,3.216712959942550132e+00 --5.600349506405421174e+00,1.252903285200370309e+00,3.216712959942550132e+00 --5.847785906559609614e+00,2.458829046543204555e+00,4.051755514160018556e+00 --4.990617389131802639e+00,1.250266851948427016e+00,4.049966099281049559e+00 --4.990617389131802639e+00,1.250266851948427016e+00,4.049966099281049559e+00 --4.990617389131802639e+00,1.250266851948427016e+00,4.049966099281049559e+00 --4.990617389131802639e+00,1.250266851948427016e+00,4.049966099281049559e+00 --4.990617389131802639e+00,1.250266851948427016e+00,4.049966099281049559e+00 --5.503909124666643393e+00,8.726829182310607003e-01,4.429683919607023235e+00 --4.984833649371564590e+00,1.404873856572890656e+00,3.776324937935498394e+00 --4.984833649371564590e+00,1.404873856572890656e+00,3.776324937935498394e+00 --5.389259078466287711e+00,8.192252225132982124e-01,4.007116739810403061e+00 --5.389259078466287711e+00,8.192252225132982124e-01,4.007116739810403061e+00 --5.389259078466287711e+00,8.192252225132982124e-01,4.007116739810403061e+00 --6.199176103993593756e+00,7.340481750272707107e-01,3.171302363346046427e+00 --6.199176103993593756e+00,7.340481750272707107e-01,3.171302363346046427e+00 --6.199176103993593756e+00,7.340481750272707107e-01,3.171302363346046427e+00 --6.199176103993593756e+00,7.340481750272707107e-01,3.171302363346046427e+00 --6.199176103993593756e+00,7.340481750272707107e-01,3.171302363346046427e+00 --6.844222892443962536e+00,1.230785198287856819e+00,2.641327062842435680e+00 --7.525573806568488955e+00,5.210064252789030625e-01,2.718832074080604233e+00 --7.525573806568488955e+00,5.210064252789030625e-01,2.718832074080604233e+00 --6.063299710965515565e+00,1.163601554411660466e+00,2.987882583910061562e+00 --5.484105592642480431e+00,1.908455669050599823e+00,3.374288064486366867e+00 --5.853335507510515789e+00,2.417506774475863374e+00,3.707147317781240403e+00 --5.321534671488397983e+00,2.086274460936060393e+00,4.228172730894467435e+00 --4.951047014091998655e+00,1.441343030872665798e+00,3.852174964075420593e+00 --4.951047014091998655e+00,1.441343030872665798e+00,3.852174964075420593e+00 --4.951047014091998655e+00,1.441343030872665798e+00,3.852174964075420593e+00 --4.951047014091998655e+00,1.441343030872665798e+00,3.852174964075420593e+00 --4.951047014091998655e+00,1.441343030872665798e+00,3.852174964075420593e+00 --6.756269757100600515e+00,7.618177897791157394e-01,5.133844190704930810e+00 --6.779737122602766952e+00,5.018988678328735187e-01,4.926162577386269170e+00 --6.779737122602766952e+00,5.018988678328735187e-01,4.926162577386269170e+00 --6.779737122602766952e+00,5.018988678328735187e-01,4.926162577386269170e+00 --6.610259378650104267e+00,7.752367664204380393e-01,5.076672420508072214e+00 --6.610259378650104267e+00,7.752367664204380393e-01,5.076672420508072214e+00 --5.924002725873080522e+00,5.801819086702886263e-01,4.390106744259767879e+00 --5.924002725873080522e+00,5.801819086702886263e-01,4.390106744259767879e+00 --6.072561272884183126e+00,4.323267001704975687e-01,3.917049021122873675e+00 --5.636663804897403374e+00,6.914700222276276564e-01,4.239142106543618560e+00 --5.636663804897403374e+00,6.914700222276276564e-01,4.239142106543618560e+00 --5.536811522822192799e+00,7.992538336296023394e-01,3.653572229287699979e+00 --5.345738688866256361e+00,1.183457625772584176e+00,3.434504216314536507e+00 --6.438907707150709037e+00,1.314954531800483384e+00,2.783894844583397088e+00 --5.427328802674423969e+00,2.114041725858583742e+00,4.352884441085668854e+00 --6.199616822188449561e+00,2.609273694003122035e+00,4.208265602446555675e+00 --6.199616822188449561e+00,2.609273694003122035e+00,4.208265602446555675e+00 --6.199616822188449561e+00,2.609273694003122035e+00,4.208265602446555675e+00 --7.842966269787149614e+00,3.166926349979429123e+00,3.627751855998291308e+00 --5.744935717686175281e+00,2.399600656365339368e+00,3.900500030479725488e+00 --5.744935717686175281e+00,2.399600656365339368e+00,3.900500030479725488e+00 --5.744935717686175281e+00,2.399600656365339368e+00,3.900500030479725488e+00 --5.744935717686175281e+00,2.399600656365339368e+00,3.900500030479725488e+00 --5.744935717686175281e+00,2.399600656365339368e+00,3.900500030479725488e+00 --6.871792698522327214e+00,2.607062355999294034e+00,4.848794147972833812e+00 --7.321763012854879626e+00,2.493651515548330533e+00,5.186872169058106330e+00 --7.919814187656413651e+00,2.689176768414041963e+00,5.256948156568941322e+00 --7.919814187656413651e+00,2.689176768414041963e+00,5.256948156568941322e+00 --6.343344696533320892e+00,2.378778848855401584e+00,4.803329508059429820e+00 --5.968613596802512689e+00,1.995026239516523914e+00,4.893201257373696045e+00 --5.968613596802512689e+00,1.995026239516523914e+00,4.893201257373696045e+00 --5.421028293077903015e+00,1.639313989690009965e+00,4.689830249072816315e+00 --5.421028293077903015e+00,1.639313989690009965e+00,4.689830249072816315e+00 --5.065570358161266107e+00,1.581434429018313992e+00,4.364944734327043996e+00 --8.092854566435448760e+00,1.607706799355252958e+00,5.776372618284071336e+00 --8.092854566435448760e+00,1.607706799355252958e+00,5.776372618284071336e+00 --8.092854566435448760e+00,1.607706799355252958e+00,5.776372618284071336e+00 --7.541534126712829078e+00,2.484731191170256537e+00,5.282998236565641825e+00 --7.541534126712829078e+00,2.484731191170256537e+00,5.282998236565641825e+00 --7.568997783145185565e+00,2.837542903182782794e+00,4.924241652638457367e+00 --6.692840440558231130e+00,2.207998617888537574e+00,5.125088558651033743e+00 --5.741452650774538036e+00,8.214148911716376844e-01,4.596004000013629742e+00 --6.194467547657115603e+00,9.088936177133303262e-01,4.958804807903251621e+00 --5.959612746102372682e+00,2.515128781443396022e+00,4.058070391499692953e+00 --5.959612746102372682e+00,2.515128781443396022e+00,4.058070391499692953e+00 --5.435108231951952362e+00,2.182877289995332148e+00,3.792556740427911688e+00 --5.459002529397105619e+00,2.072247202613409112e+00,3.546368502328660632e+00 --5.459002529397105619e+00,2.072247202613409112e+00,3.546368502328660632e+00 --5.459002529397105619e+00,2.072247202613409112e+00,3.546368502328660632e+00 --5.487971009081559437e+00,8.862753983943845171e-01,3.569234414504945718e+00 --5.487971009081559437e+00,8.862753983943845171e-01,3.569234414504945718e+00 --5.487971009081559437e+00,8.862753983943845171e-01,3.569234414504945718e+00 --5.487971009081559437e+00,8.862753983943845171e-01,3.569234414504945718e+00 --5.487971009081559437e+00,8.862753983943845171e-01,3.569234414504945718e+00 --5.487971009081559437e+00,8.862753983943845171e-01,3.569234414504945718e+00 --6.328712604500903893e+00,4.470304284804574313e-01,3.457585441625905087e+00 --5.597410958006183712e+00,7.113521487513838615e-01,3.777084339023850657e+00 --5.597410958006183712e+00,7.113521487513838615e-01,3.777084339023850657e+00 --5.135247414845830249e+00,1.049099034943558717e+00,3.921376837138727645e+00 --5.135247414845830249e+00,1.049099034943558717e+00,3.921376837138727645e+00 --5.135247414845830249e+00,1.049099034943558717e+00,3.921376837138727645e+00 --5.135247414845830249e+00,1.049099034943558717e+00,3.921376837138727645e+00 --5.135247414845830249e+00,1.049099034943558717e+00,3.921376837138727645e+00 --5.135247414845830249e+00,1.049099034943558717e+00,3.921376837138727645e+00 --5.748499893258647298e+00,7.855950030316209975e-01,4.558901834624442095e+00 --5.539110725264501767e+00,1.544426323847972737e+00,4.781909773692058607e+00 --5.539110725264501767e+00,1.544426323847972737e+00,4.781909773692058607e+00 --5.663561534477568493e+00,1.058977890374620534e+00,4.737093549341233611e+00 --5.275079648301464808e+00,2.029057530382716301e+00,4.263483671274171272e+00 --5.275079648301464808e+00,2.029057530382716301e+00,4.263483671274171272e+00 --5.421674511618773451e+00,1.533184872924525211e+00,4.703433822764491623e+00 --5.421674511618773451e+00,1.533184872924525211e+00,4.703433822764491623e+00 --5.421674511618773451e+00,1.533184872924525211e+00,4.703433822764491623e+00 --5.421674511618773451e+00,1.533184872924525211e+00,4.703433822764491623e+00 --5.421674511618773451e+00,1.533184872924525211e+00,4.703433822764491623e+00 --5.240200476863520862e+00,1.387692710808919649e+00,4.549393681106163712e+00 --5.240200476863520862e+00,1.387692710808919649e+00,4.549393681106163712e+00 --5.240200476863520862e+00,1.387692710808919649e+00,4.549393681106163712e+00 --5.346530472543543411e+00,1.303645970529861975e+00,3.381759403762828242e+00 --5.346530472543543411e+00,1.303645970529861975e+00,3.381759403762828242e+00 --5.346530472543543411e+00,1.303645970529861975e+00,3.381759403762828242e+00 --5.346530472543543411e+00,1.303645970529861975e+00,3.381759403762828242e+00 --5.346530472543543411e+00,1.303645970529861975e+00,3.381759403762828242e+00 --5.346530472543543411e+00,1.303645970529861975e+00,3.381759403762828242e+00 --5.346530472543543411e+00,1.303645970529861975e+00,3.381759403762828242e+00 --5.459587565505898077e+00,1.813060005206086789e+00,4.660171845679268898e+00 --5.963992008694008362e+00,1.137287475746691978e+00,4.952196146088142292e+00 --5.963992008694008362e+00,1.137287475746691978e+00,4.952196146088142292e+00 --5.771752970710760877e+00,1.984344172163878373e+00,4.781926825721535934e+00 --7.103286095346210693e+00,2.953966675164889644e+00,4.252017598666196996e+00 --7.103286095346210693e+00,2.953966675164889644e+00,4.252017598666196996e+00 --7.103286095346210693e+00,2.953966675164889644e+00,4.252017598666196996e+00 --8.565494245176108024e+00,3.280379667587302706e+00,4.685556964518005962e+00 --8.565494245176108024e+00,3.280379667587302706e+00,4.685556964518005962e+00 --8.565494245176108024e+00,3.280379667587302706e+00,4.685556964518005962e+00 --8.565494245176108024e+00,3.280379667587302706e+00,4.685556964518005962e+00 --8.565494245176108024e+00,3.280379667587302706e+00,4.685556964518005962e+00 --8.565494245176108024e+00,3.280379667587302706e+00,4.685556964518005962e+00 --7.282575609747979684e+00,3.034792396147541371e+00,3.964874828726710376e+00 --7.282575609747979684e+00,3.034792396147541371e+00,3.964874828726710376e+00 --7.631857509398070505e+00,2.900585019604700943e+00,4.862823840327954450e+00 --5.117676009876939602e+00,1.911616640638511555e+00,4.149978725850421490e+00 --5.989409707296742269e+00,9.087004647283005720e-01,4.844997298259304586e+00 --7.135107884599781514e+00,1.070742790222797947e+00,5.423057272085484826e+00 --7.135107884599781514e+00,1.070742790222797947e+00,5.423057272085484826e+00 --6.859467816009897412e+00,1.415556474053624170e+00,5.388014039596484395e+00 --5.239544397902646367e+00,9.774576827748424623e-01,4.201841006222517549e+00 --5.239544397902646367e+00,9.774576827748424623e-01,4.201841006222517549e+00 --5.783354731799457582e+00,2.021082330473519484e+00,3.234445427256127825e+00 --4.992573059075473552e+00,1.757536093884666695e+00,4.022228058921356819e+00 --5.577509139859694542e+00,1.443001775670932352e+00,4.805298832399710562e+00 --5.577509139859694542e+00,1.443001775670932352e+00,4.805298832399710562e+00 --5.771276324585230100e+00,6.330436228937970089e-01,3.693554520409541020e+00 --5.333948983212344785e+00,1.585830948164121734e+00,3.366890294869126166e+00 --6.186197165826186506e+00,2.139985793221612642e+00,3.077578611760330762e+00 --6.186197165826186506e+00,2.139985793221612642e+00,3.077578611760330762e+00 --5.595069545129769395e+00,1.806099972938457254e+00,3.241304923649721559e+00 --5.595069545129769395e+00,1.806099972938457254e+00,3.241304923649721559e+00 --5.595069545129769395e+00,1.806099972938457254e+00,3.241304923649721559e+00 --5.573807437514133767e+00,2.235510991384106916e+00,3.672773952368380002e+00 --4.983355832928483053e+00,1.714061937839421956e+00,3.891468037527075818e+00 --5.564963578462028160e+00,2.298799124786550241e+00,4.033606604761246217e+00 --5.057797391006696230e+00,1.813449188931676614e+00,4.183828355119876719e+00 --5.057797391006696230e+00,1.813449188931676614e+00,4.183828355119876719e+00 --5.330792182768762544e+00,1.811603369232838157e+00,4.554924670773263351e+00 --5.330792182768762544e+00,1.811603369232838157e+00,4.554924670773263351e+00 --5.330792182768762544e+00,1.811603369232838157e+00,4.554924670773263351e+00 --5.330792182768762544e+00,1.811603369232838157e+00,4.554924670773263351e+00 --5.330792182768762544e+00,1.811603369232838157e+00,4.554924670773263351e+00 --5.653018844061601378e+00,1.547360163070843786e+00,4.851482076262803034e+00 --5.794436149968253957e+00,1.688598022688684308e+00,4.912750131737860571e+00 --5.794436149968253957e+00,1.688598022688684308e+00,4.912750131737860571e+00 --6.512561488929940801e+00,2.601541468578180805e+00,4.611075894724931068e+00 --6.512561488929940801e+00,2.601541468578180805e+00,4.611075894724931068e+00 --5.374798981961486533e+00,2.166168019507987985e+00,3.927439549838767530e+00 --5.865865543838387985e+00,1.585274383494279293e+00,3.034163735129308925e+00 --5.865865543838387985e+00,1.585274383494279293e+00,3.034163735129308925e+00 --6.644180911735984019e+00,2.054653464530753038e+00,2.812234739857522925e+00 --6.644180911735984019e+00,2.054653464530753038e+00,2.812234739857522925e+00 --5.528807606190810020e+00,2.205415597252480708e+00,4.324718814553522250e+00 --5.528807606190810020e+00,2.205415597252480708e+00,4.324718814553522250e+00 --5.027510139697582758e+00,1.414601043775151501e+00,3.692651622495580988e+00 --6.378578590689565786e+00,1.029911994918086160e+00,5.109883653969632178e+00 --6.378578590689565786e+00,1.029911994918086160e+00,5.109883653969632178e+00 --5.101317477637057785e+00,1.542429093644845706e+00,4.416849033621098819e+00 --5.101317477637057785e+00,1.542429093644845706e+00,4.416849033621098819e+00 --5.101317477637057785e+00,1.542429093644845706e+00,4.416849033621098819e+00 --4.957766668582823222e+00,1.675331380067686782e+00,4.035657298379054403e+00 --5.611222227875638069e+00,2.162640388464627250e+00,3.503637420193267182e+00 --7.061448256176440452e+00,2.922130625310881857e+00,3.663490553014288498e+00 --6.417420446825563118e+00,2.391652440371373700e+00,4.834638987578848912e+00 --6.417420446825563118e+00,2.391652440371373700e+00,4.834638987578848912e+00 --6.349423044397356719e+00,1.791218438980399341e+00,5.157091496977004752e+00 --7.186052690145952049e+00,1.113452711354101510e-02,4.208753828644751671e+00 --5.251224314790784220e+00,9.295000639965310674e-01,4.000070655019621668e+00 --5.802891541569725753e+00,1.536585065687446239e+00,4.935841301567568173e+00 --6.366317881095662656e+00,1.247415249548666116e+00,5.173356165925934391e+00 --7.635767712586622125e+00,-1.327464214224216565e-01,4.210125446103530678e+00 --5.697162772146826981e+00,8.402007736705249252e-01,3.420281430120474475e+00 --5.505239001568797974e+00,9.384967385898356218e-01,3.485997124350596721e+00 --5.660670438807967386e+00,2.355644884844291020e+00,3.947197187299572363e+00 --5.660670438807967386e+00,2.355644884844291020e+00,3.947197187299572363e+00 --5.409712660912731508e+00,2.103154009449919926e+00,4.346646461078901069e+00 --5.409712660912731508e+00,2.103154009449919926e+00,4.346646461078901069e+00 --5.409712660912731508e+00,2.103154009449919926e+00,4.346646461078901069e+00 --6.430335363347211342e+00,2.717830873013203252e+00,4.146523702056765792e+00 --5.738303177158858404e+00,2.344644527516225985e+00,3.685159299840285563e+00 --5.738303177158858404e+00,2.344644527516225985e+00,3.685159299840285563e+00 --5.738303177158858404e+00,2.344644527516225985e+00,3.685159299840285563e+00 --5.286804140585065426e+00,1.275383267584966562e+00,3.442687402541833919e+00 --5.286804140585065426e+00,1.275383267584966562e+00,3.442687402541833919e+00 --5.286804140585065426e+00,1.275383267584966562e+00,3.442687402541833919e+00 --6.740167427868691163e+00,1.059607960784867187e+00,2.727023901698881758e+00 --1.042098643281092762e+01,1.071064138789002973e+00,1.695385861589967513e+00 --1.042098643281092762e+01,1.071064138789002973e+00,1.695385861589967513e+00 --1.079498507685075381e+01,9.881759393883995379e-01,1.632033134731164292e+00 --1.079498507685075381e+01,9.881759393883995379e-01,1.632033134731164292e+00 --1.079498507685075381e+01,9.881759393883995379e-01,1.632033134731164292e+00 --6.848466064145421583e+00,5.317109838098199592e-01,3.007463697161568028e+00 --6.913718362478252999e+00,3.292579473767880405e-01,3.214298227137579289e+00 --5.251279244835129312e+00,1.764228396903732232e+00,3.494323753488338902e+00 --5.251279244835129312e+00,1.764228396903732232e+00,3.494323753488338902e+00 --5.723530075836546160e+00,9.078623188402267230e-01,3.331308060786895453e+00 --5.656946877460571343e+00,6.672957896451893189e-01,3.805586927653378915e+00 --5.656946877460571343e+00,6.672957896451893189e-01,3.805586927653378915e+00 --5.133973889079205932e+00,1.223874609784890932e+00,4.363282982176523994e+00 --5.133973889079205932e+00,1.223874609784890932e+00,4.363282982176523994e+00 --5.295333981028742087e+00,9.968438510424992849e-01,3.658805425048538673e+00 --5.295333981028742087e+00,9.968438510424992849e-01,3.658805425048538673e+00 --6.115070742991460584e+00,4.649722985775320838e-01,4.343561155343400593e+00 --6.115070742991460584e+00,4.649722985775320838e-01,4.343561155343400593e+00 --7.428254600973470900e+00,7.298132327528499275e-01,5.381778857745393552e+00 --7.428254600973470900e+00,7.298132327528499275e-01,5.381778857745393552e+00 --7.428254600973470900e+00,7.298132327528499275e-01,5.381778857745393552e+00 --7.428254600973470900e+00,7.298132327528499275e-01,5.381778857745393552e+00 --6.858718649167741432e+00,2.300426353780362643e-01,4.565838146815401011e+00 --6.858718649167741432e+00,2.300426353780362643e-01,4.565838146815401011e+00 --8.028350799852294273e+00,-2.380611522474163633e-01,3.714097747329641486e+00 --8.028350799852294273e+00,-2.380611522474163633e-01,3.714097747329641486e+00 --5.847021990522076607e+00,9.197958556229539617e-01,3.235388328266507241e+00 --5.819701061008501597e+00,5.632406534237418549e-01,3.871824905727232924e+00 --5.819701061008501597e+00,5.632406534237418549e-01,3.871824905727232924e+00 --5.819701061008501597e+00,5.632406534237418549e-01,3.871824905727232924e+00 --4.936079745737457003e+00,1.447298444493337666e+00,4.086880141378482989e+00 --4.936079745737457003e+00,1.447298444493337666e+00,4.086880141378482989e+00 --4.936079745737457003e+00,1.447298444493337666e+00,4.086880141378482989e+00 --5.760251757170973264e+00,1.596765175286870564e+00,4.908368936723390696e+00 --5.760251757170973264e+00,1.596765175286870564e+00,4.908368936723390696e+00 --5.760251757170973264e+00,1.596765175286870564e+00,4.908368936723390696e+00 --5.345908074473521232e+00,1.826463557260633586e+00,3.440021886645947991e+00 --5.345908074473521232e+00,1.826463557260633586e+00,3.440021886645947991e+00 --5.345908074473521232e+00,1.826463557260633586e+00,3.440021886645947991e+00 --5.013562029901275530e+00,1.239847339562380135e+00,4.141874910924425279e+00 --5.013562029901275530e+00,1.239847339562380135e+00,4.141874910924425279e+00 --4.975441018787691405e+00,1.560683246618622899e+00,3.785513567914368327e+00 --4.975441018787691405e+00,1.560683246618622899e+00,3.785513567914368327e+00 --4.975441018787691405e+00,1.560683246618622899e+00,3.785513567914368327e+00 --5.248452453555808361e+00,1.857917760847092925e+00,3.558872810623375127e+00 --5.232459889823999788e+00,1.418838623837061386e+00,3.452169197630649222e+00 --6.107003768837622637e+00,4.380195378968874120e-01,4.231186362336084805e+00 --5.129306992094175399e+00,1.674743802134833315e+00,3.584046321219601872e+00 --5.129306992094175399e+00,1.674743802134833315e+00,3.584046321219601872e+00 --5.129306992094175399e+00,1.674743802134833315e+00,3.584046321219601872e+00 --5.129306992094175399e+00,1.674743802134833315e+00,3.584046321219601872e+00 --5.408833102004338755e+00,2.173458870216748551e+00,4.171849117868054790e+00 --5.021364653108148168e+00,1.795324684307791907e+00,3.908382037089005667e+00 --5.021364653108148168e+00,1.795324684307791907e+00,3.908382037089005667e+00 --5.021364653108148168e+00,1.795324684307791907e+00,3.908382037089005667e+00 --6.500202240850022406e+00,3.815778858892922010e-01,3.431159000511156076e+00 --4.957898398305690790e+00,1.399684826499789425e+00,3.851402787870624067e+00 --4.957898398305690790e+00,1.399684826499789425e+00,3.851402787870624067e+00 --4.957898398305690790e+00,1.399684826499789425e+00,3.851402787870624067e+00 --4.957898398305690790e+00,1.399684826499789425e+00,3.851402787870624067e+00 --4.957898398305690790e+00,1.399684826499789425e+00,3.851402787870624067e+00 --4.957898398305690790e+00,1.399684826499789425e+00,3.851402787870624067e+00 --5.086894170081382782e+00,1.184181926340463153e+00,3.752211821079633580e+00 --5.086894170081382782e+00,1.184181926340463153e+00,3.752211821079633580e+00 --5.137982614287897931e+00,1.386242464801010987e+00,3.553583485235304096e+00 --5.137982614287897931e+00,1.386242464801010987e+00,3.553583485235304096e+00 --6.744671995188497249e+00,2.309585566205868190e+00,2.921348493089204190e+00 --7.345853426484554305e+00,3.049562798114545004e+00,4.137675082586815378e+00 --7.345853426484554305e+00,3.049562798114545004e+00,4.137675082586815378e+00 --4.937928139408848338e+00,1.507509838047163875e+00,3.889919988541683971e+00 --5.360920810740570808e+00,1.491245823645363844e+00,4.659613555286905573e+00 --5.004803486357500830e+00,1.291777626833768178e+00,4.188925373763909832e+00 --5.836486434004615198e+00,2.435940465467469451e+00,4.186407473794536926e+00 --5.142321001415544046e+00,1.954339949524420472e+00,4.100707888782364030e+00 --5.352199404297779850e+00,1.548331811031699701e+00,4.651236752280984987e+00 --5.352199404297779850e+00,1.548331811031699701e+00,4.651236752280984987e+00 --5.352199404297779850e+00,1.548331811031699701e+00,4.651236752280984987e+00 --4.997990636827847055e+00,1.650459775184581313e+00,3.777293107289959373e+00 --4.997990636827847055e+00,1.650459775184581313e+00,3.777293107289959373e+00 --5.479284013332622827e+00,1.498464710570464264e+00,4.743994303338607388e+00 --5.479284013332622827e+00,1.498464710570464264e+00,4.743994303338607388e+00 --5.958948662296402965e+00,8.438110396689574300e-01,4.776279960978883743e+00 --5.591566572833897020e+00,1.515807096123066522e+00,3.184179814096658845e+00 --5.655063701588554537e+00,1.226471929365575253e+00,3.190993224166278619e+00 --6.701809918182020098e+00,1.105237757761745154e+00,2.727121939278410068e+00 --6.701809918182020098e+00,1.105237757761745154e+00,2.727121939278410068e+00 --6.701809918182020098e+00,1.105237757761745154e+00,2.727121939278410068e+00 --7.294045415370721486e+00,8.059751754864616924e-01,2.626456835221046227e+00 --5.927566736972375239e+00,2.073908547241822831e+00,3.179974644564897979e+00 --5.567728363478414266e+00,2.286931226431005992e+00,3.849290094792957806e+00 --5.567728363478414266e+00,2.286931226431005992e+00,3.849290094792957806e+00 --5.567728363478414266e+00,2.286931226431005992e+00,3.849290094792957806e+00 --5.567728363478414266e+00,2.286931226431005992e+00,3.849290094792957806e+00 --6.110880732405187032e+00,1.180163157957115683e+00,2.959408344229816468e+00 --5.161001125667537437e+00,1.246007627438988408e+00,4.413200759352732483e+00 --5.312499089109515182e+00,8.823640374383872054e-01,3.927399903296111106e+00 --5.312499089109515182e+00,8.823640374383872054e-01,3.927399903296111106e+00 --5.089412524646741431e+00,1.266587459979751973e+00,3.669580602885746501e+00 --5.173764085690498504e+00,1.065996907920943482e+00,3.755763907381350908e+00 --5.207263552534953988e+00,1.056781493609675326e+00,4.291662090970686627e+00 --5.736663330909661518e+00,1.790708049641458244e+00,3.147710126796856578e+00 --5.736663330909661518e+00,1.790708049641458244e+00,3.147710126796856578e+00 --5.736663330909661518e+00,1.790708049641458244e+00,3.147710126796856578e+00 --5.736663330909661518e+00,1.790708049641458244e+00,3.147710126796856578e+00 --5.678388023614692415e+00,1.559552417529203927e+00,3.134501646239330697e+00 --5.862177809921066185e+00,1.637709396062009715e+00,3.042158781770897047e+00 --5.862897090246379506e+00,7.745741332629737519e-01,3.358984969523707065e+00 --7.528870170794853323e+00,8.813492889154384002e-02,4.780866863786700449e+00 --5.691720871941949866e+00,1.107878787418440814e+00,4.782437022236822877e+00 --4.957358600955361183e+00,1.322497720594464798e+00,3.990130403123199443e+00 --5.737182216041613714e+00,2.400372843045911697e+00,3.972489516028519851e+00 --5.737182216041613714e+00,2.400372843045911697e+00,3.972489516028519851e+00 --5.737182216041613714e+00,2.400372843045911697e+00,3.972489516028519851e+00 --5.009929300899804261e+00,1.690623345909077591e+00,3.781281212339813180e+00 --5.009929300899804261e+00,1.690623345909077591e+00,3.781281212339813180e+00 --5.307471508998507836e+00,1.087461857456633929e+00,4.459923533999606171e+00 --5.307471508998507836e+00,1.087461857456633929e+00,4.459923533999606171e+00 --5.353886585953406829e+00,1.303484977053964711e+00,4.624110806581039235e+00 --5.353886585953406829e+00,1.303484977053964711e+00,4.624110806581039235e+00 --5.353886585953406829e+00,1.303484977053964711e+00,4.624110806581039235e+00 --5.845413172987464101e+00,1.129035250175706606e+00,4.884332626649369402e+00 --5.845413172987464101e+00,1.129035250175706606e+00,4.884332626649369402e+00 --5.845413172987464101e+00,1.129035250175706606e+00,4.884332626649369402e+00 --5.845413172987464101e+00,1.129035250175706606e+00,4.884332626649369402e+00 --5.845413172987464101e+00,1.129035250175706606e+00,4.884332626649369402e+00 --5.094996077241257026e+00,1.392871971340766901e+00,4.397197092006162933e+00 --5.210590809323479178e+00,1.722181095353686686e+00,4.485254816949018064e+00 --5.542590397120025436e+00,1.835702949050006749e+00,4.710028023602212066e+00 --6.809159115640169624e+00,3.387794357095341713e-01,3.268582346473363209e+00 --6.809159115640169624e+00,3.387794357095341713e-01,3.268582346473363209e+00 --6.809159115640169624e+00,3.387794357095341713e-01,3.268582346473363209e+00 --6.809159115640169624e+00,3.387794357095341713e-01,3.268582346473363209e+00 --6.809159115640169624e+00,3.387794357095341713e-01,3.268582346473363209e+00 --6.809159115640169624e+00,3.387794357095341713e-01,3.268582346473363209e+00 --5.883356899424924791e+00,1.616026604228041785e+00,3.028331026677529625e+00 --5.163838571171876168e+00,1.634528827254962735e+00,3.530972886721257975e+00 --4.934697569815085672e+00,1.475497749839976835e+00,3.908659555872052938e+00 --4.934697569815085672e+00,1.475497749839976835e+00,3.908659555872052938e+00 --4.934697569815085672e+00,1.475497749839976835e+00,3.908659555872052938e+00 --5.530545785480478038e+00,2.170140841608845683e+00,3.605407925739029462e+00 --5.530545785480478038e+00,2.170140841608845683e+00,3.605407925739029462e+00 --5.215552995948966597e+00,1.299293840223900265e+00,3.500484334021237487e+00 --5.215552995948966597e+00,1.299293840223900265e+00,3.500484334021237487e+00 --5.423107715621491742e+00,1.500929062622471832e+00,3.294767613020045172e+00 --5.436790435115930187e+00,1.249686083718738239e+00,3.330388735449307802e+00 --5.255595723758183624e+00,1.777449233961716946e+00,3.497144639569637281e+00 --5.255595723758183624e+00,1.777449233961716946e+00,3.497144639569637281e+00 --5.255595723758183624e+00,1.777449233961716946e+00,3.497144639569637281e+00 --4.940268458658970907e+00,1.512447747485905047e+00,4.119830628066480038e+00 --4.940268458658970907e+00,1.512447747485905047e+00,4.119830628066480038e+00 --4.940268458658970907e+00,1.512447747485905047e+00,4.119830628066480038e+00 --4.940268458658970907e+00,1.512447747485905047e+00,4.119830628066480038e+00 --4.940268458658970907e+00,1.512447747485905047e+00,4.119830628066480038e+00 --5.535823855936163440e+00,2.279593513356747536e+00,4.047996635814975264e+00 --5.535823855936163440e+00,2.279593513356747536e+00,4.047996635814975264e+00 --5.535823855936163440e+00,2.279593513356747536e+00,4.047996635814975264e+00 --6.717781259309095532e+00,2.364848794653851893e+00,2.978205652356510136e+00 --5.997599687563576865e+00,1.954456029195873468e+00,3.069776762130505876e+00 --5.069351058310014757e+00,1.874480595101459590e+00,3.942024062027591036e+00 --5.069351058310014757e+00,1.874480595101459590e+00,3.942024062027591036e+00 --5.824418523365971545e+00,1.968538300205495695e+00,3.175902765574458719e+00 --5.824418523365971545e+00,1.968538300205495695e+00,3.175902765574458719e+00 --5.478376700587284986e+00,1.063578312943932458e+00,3.398203789613352566e+00 --5.008623739382976225e+00,1.594441373323634448e+00,4.271938290001667582e+00 --5.008623739382976225e+00,1.594441373323634448e+00,4.271938290001667582e+00 --5.008623739382976225e+00,1.594441373323634448e+00,4.271938290001667582e+00 --5.008623739382976225e+00,1.594441373323634448e+00,4.271938290001667582e+00 --5.008623739382976225e+00,1.594441373323634448e+00,4.271938290001667582e+00 --5.619466422263349692e+00,1.811925902708526159e+00,4.772278784289799347e+00 --5.237430419940999116e+00,2.049004080802041994e+00,3.898655013024751259e+00 --5.165978601924482660e+00,1.805587701342433959e+00,4.383197893906059406e+00 --5.083110026640520474e+00,1.895851816222537511e+00,4.025636564027732511e+00 --4.938424247662390520e+00,1.387787158160690204e+00,3.991146019536622624e+00 --4.938424247662390520e+00,1.387787158160690204e+00,3.991146019536622624e+00 --7.241632545780218422e+00,3.574003175207973726e-02,4.414513158232796108e+00 --7.241632545780218422e+00,3.574003175207973726e-02,4.414513158232796108e+00 --5.131516421880237822e+00,1.048447401038362869e+00,4.043157148104778997e+00 --5.875073761767557912e+00,5.267662696046824244e-01,4.046214012698330365e+00 --6.064217734815004590e+00,4.336333829000361129e-01,4.036412084959422053e+00 --6.064217734815004590e+00,4.336333829000361129e-01,4.036412084959422053e+00 --6.023393697252307000e+00,4.559629009740579497e-01,3.912672453995822863e+00 --7.643996582989377231e+00,-1.406758229603043975e-01,3.837441413255975320e+00 --8.548150875855611730e+00,-4.012810147397404270e-01,3.913240297216139751e+00 --7.800469488062897305e+00,-1.345423164013422324e-01,3.549459467819441105e+00 --7.800469488062897305e+00,-1.345423164013422324e-01,3.549459467819441105e+00 --7.800469488062897305e+00,-1.345423164013422324e-01,3.549459467819441105e+00 --7.800469488062897305e+00,-1.345423164013422324e-01,3.549459467819441105e+00 --7.093185084237281224e+00,2.812088985610258773e-02,3.968332405512907002e+00 --6.407361216485870870e+00,3.416366522266082173e-01,3.626099694835107190e+00 --4.996993233859488903e+00,1.257932049243904560e+00,3.887562425063758376e+00 --4.996993233859488903e+00,1.257932049243904560e+00,3.887562425063758376e+00 --4.996993233859488903e+00,1.257932049243904560e+00,3.887562425063758376e+00 --5.033458828165461085e+00,1.320557226127393458e+00,3.725218293455194729e+00 --5.083342302296871118e+00,1.895868216305877318e+00,3.970393838530067665e+00 --5.083342302296871118e+00,1.895868216305877318e+00,3.970393838530067665e+00 --5.083342302296871118e+00,1.895868216305877318e+00,3.970393838530067665e+00 --5.083342302296871118e+00,1.895868216305877318e+00,3.970393838530067665e+00 --5.083342302296871118e+00,1.895868216305877318e+00,3.970393838530067665e+00 --5.083342302296871118e+00,1.895868216305877318e+00,3.970393838530067665e+00 --5.241767500657496193e+00,1.789095689237008013e+00,4.482117257836083724e+00 --5.241767500657496193e+00,1.789095689237008013e+00,4.482117257836083724e+00 --5.241767500657496193e+00,1.789095689237008013e+00,4.482117257836083724e+00 --5.241767500657496193e+00,1.789095689237008013e+00,4.482117257836083724e+00 --5.191376352293971763e+00,1.668215318361138122e+00,4.487160985859851792e+00 --5.245482725790042267e+00,1.544154868269368430e+00,4.563718848877226897e+00 --5.245482725790042267e+00,1.544154868269368430e+00,4.563718848877226897e+00 --4.973089018350455248e+00,1.696571265465337319e+00,4.093244963001336778e+00 --4.973089018350455248e+00,1.696571265465337319e+00,4.093244963001336778e+00 --5.896109170334192129e+00,1.148580062771555221e+00,4.920249458154612121e+00 --5.896109170334192129e+00,1.148580062771555221e+00,4.920249458154612121e+00 --5.039352391098568695e+00,1.248395653484518419e+00,4.224262148153440144e+00 --5.039352391098568695e+00,1.248395653484518419e+00,4.224262148153440144e+00 --5.379271088346222029e+00,2.169373367172950040e+00,4.073866439247324500e+00 --5.379271088346222029e+00,2.169373367172950040e+00,4.073866439247324500e+00 --5.146083743912498676e+00,1.058817051154930633e+00,4.160272320574005533e+00 --5.309067694604353349e+00,1.693816456700746098e+00,4.588004033062385467e+00 --5.487649797515432581e+00,7.794002235432641035e-01,3.793525723473250455e+00 --5.487649797515432581e+00,7.794002235432641035e-01,3.793525723473250455e+00 --5.487649797515432581e+00,7.794002235432641035e-01,3.793525723473250455e+00 --5.035518495872635114e+00,1.391559761238535309e+00,3.686942373242080073e+00 --5.035518495872635114e+00,1.391559761238535309e+00,3.686942373242080073e+00 --5.035518495872635114e+00,1.391559761238535309e+00,3.686942373242080073e+00 --5.035518495872635114e+00,1.391559761238535309e+00,3.686942373242080073e+00 --5.035518495872635114e+00,1.391559761238535309e+00,3.686942373242080073e+00 --5.421904034856594556e+00,1.911748858637799087e+00,3.428499536790762026e+00 --5.879271359973165190e+00,6.936157618198941499e-01,4.550692007903841763e+00 --5.302582728905775866e+00,1.034668551881795517e+00,4.400368879259240806e+00 --5.302582728905775866e+00,1.034668551881795517e+00,4.400368879259240806e+00 --4.936725705142819720e+00,1.561616847454605272e+00,3.915295003489261738e+00 --4.936725705142819720e+00,1.561616847454605272e+00,3.915295003489261738e+00 --4.936725705142819720e+00,1.561616847454605272e+00,3.915295003489261738e+00 --5.124696852495731036e+00,1.901034361275316220e+00,4.195228483458587121e+00 --5.124696852495731036e+00,1.901034361275316220e+00,4.195228483458587121e+00 --5.170545355103387308e+00,1.257190980100015398e+00,4.431085840801928910e+00 --5.170545355103387308e+00,1.257190980100015398e+00,4.431085840801928910e+00 --5.539376720529296527e+00,1.252106165666176052e+00,4.743082252923510822e+00 --6.633471429862278335e+00,4.461629068492996009e-01,4.772751368904170732e+00 --5.249775440980254615e+00,1.226520842542245360e+00,3.500770134509401998e+00 --5.566752334079842157e+00,7.165404541218156620e-01,3.835108092274058134e+00 --5.375375333759650154e+00,8.373597997599420140e-01,3.897388275685598202e+00 --5.375375333759650154e+00,8.373597997599420140e-01,3.897388275685598202e+00 --5.375375333759650154e+00,8.373597997599420140e-01,3.897388275685598202e+00 --5.990600462704544604e+00,4.711506275902177521e-01,3.920531145862979461e+00 --5.990600462704544604e+00,4.711506275902177521e-01,3.920531145862979461e+00 --5.990600462704544604e+00,4.711506275902177521e-01,3.920531145862979461e+00 --5.990600462704544604e+00,4.711506275902177521e-01,3.920531145862979461e+00 --6.121855504547001559e+00,7.623422861029682807e-01,3.192558070907562939e+00 --6.121855504547001559e+00,7.623422861029682807e-01,3.192558070907562939e+00 --6.726438236781651980e+00,9.194852716762187406e-01,2.790170774794174857e+00 --6.726438236781651980e+00,9.194852716762187406e-01,2.790170774794174857e+00 --6.726438236781651980e+00,9.194852716762187406e-01,2.790170774794174857e+00 --5.764483427153654915e+00,1.962409591874731296e+00,3.209489618235656039e+00 --4.954045317154064598e+00,1.596300031042080292e+00,3.862096090132773885e+00 --5.061112925975839616e+00,1.851538872602592756e+00,3.891467911627724430e+00 --5.061112925975839616e+00,1.851538872602592756e+00,3.891467911627724430e+00 --6.985461737496378554e+00,1.321308868168161732e+00,5.424000380646839758e+00 --6.985461737496378554e+00,1.321308868168161732e+00,5.424000380646839758e+00 --5.168858651688363892e+00,1.979538744144975215e+00,4.114660855279963059e+00 --5.123820002780312244e+00,1.265142065808334770e+00,3.621968756967304692e+00 --5.123820002780312244e+00,1.265142065808334770e+00,3.621968756967304692e+00 --5.123820002780312244e+00,1.265142065808334770e+00,3.621968756967304692e+00 --5.123820002780312244e+00,1.265142065808334770e+00,3.621968756967304692e+00 --5.123820002780312244e+00,1.265142065808334770e+00,3.621968756967304692e+00 --5.123820002780312244e+00,1.265142065808334770e+00,3.621968756967304692e+00 --5.628951190771272373e+00,1.088050996905451262e+00,3.269592526871480498e+00 --4.992724090702316708e+00,1.495042309266406910e+00,3.741261948708319629e+00 --5.033984122516269366e+00,1.716796719109392244e+00,4.247445291490829611e+00 --5.033984122516269366e+00,1.716796719109392244e+00,4.247445291490829611e+00 --5.026607842135577542e+00,1.302643361215199747e+00,3.751194721831603740e+00 --4.969556913296090173e+00,1.347419570027347469e+00,4.143254992467137576e+00 --5.151948396113941619e+00,1.112930208439040891e+00,3.723646531130497817e+00 --5.151948396113941619e+00,1.112930208439040891e+00,3.723646531130497817e+00 --5.788684222554181247e+00,2.368582264929735892e+00,3.670614300879620817e+00 --5.788684222554181247e+00,2.368582264929735892e+00,3.670614300879620817e+00 --5.788684222554181247e+00,2.368582264929735892e+00,3.670614300879620817e+00 --6.636975822925600177e+00,2.094687948435647762e+00,5.165147172717811763e+00 --6.636975822925600177e+00,2.094687948435647762e+00,5.165147172717811763e+00 --4.959730204414729116e+00,1.339540082171144064e+00,4.090712107055206381e+00 --5.565680530736232257e+00,8.354423176328709122e-01,4.445297074686519245e+00 --5.565680530736232257e+00,8.354423176328709122e-01,4.445297074686519245e+00 --5.565680530736232257e+00,8.354423176328709122e-01,4.445297074686519245e+00 --5.171334778525926268e+00,1.171785042733871851e+00,4.371289088897087005e+00 --5.171334778525926268e+00,1.171785042733871851e+00,4.371289088897087005e+00 --5.547742679960679268e+00,7.191039385915354298e-01,3.889592172294096262e+00 --5.547742679960679268e+00,7.191039385915354298e-01,3.889592172294096262e+00 --5.547742679960679268e+00,7.191039385915354298e-01,3.889592172294096262e+00 --5.192780382302922604e+00,1.014095616026668090e+00,4.175849876655425952e+00 --4.942041552967012308e+00,1.616009872597690356e+00,4.053189562962952408e+00 --4.942041552967012308e+00,1.616009872597690356e+00,4.053189562962952408e+00 --5.515386973032763152e+00,2.227860161028390351e+00,3.755352444929857647e+00 --5.515386973032763152e+00,2.227860161028390351e+00,3.755352444929857647e+00 --5.515386973032763152e+00,2.227860161028390351e+00,3.755352444929857647e+00 --5.515386973032763152e+00,2.227860161028390351e+00,3.755352444929857647e+00 --5.515386973032763152e+00,2.227860161028390351e+00,3.755352444929857647e+00 --5.491993875953419924e+00,1.104056312156433295e+00,4.639897131726315571e+00 --5.491993875953419924e+00,1.104056312156433295e+00,4.639897131726315571e+00 --5.491993875953419924e+00,1.104056312156433295e+00,4.639897131726315571e+00 --5.491993875953419924e+00,1.104056312156433295e+00,4.639897131726315571e+00 --5.245342190166068619e+00,1.510980702683754950e+00,4.565214544678345199e+00 --5.070319101618603774e+00,1.880213935325958374e+00,4.001527148932183309e+00 --5.166603499454931914e+00,1.354395522990611056e+00,3.531333057586665714e+00 --5.166603499454931914e+00,1.354395522990611056e+00,3.531333057586665714e+00 --5.166603499454931914e+00,1.354395522990611056e+00,3.531333057586665714e+00 --5.166603499454931914e+00,1.354395522990611056e+00,3.531333057586665714e+00 --5.380844103763886999e+00,8.875759056365426503e-01,4.282889907187045431e+00 --5.380844103763886999e+00,8.875759056365426503e-01,4.282889907187045431e+00 --5.632323450806907772e+00,7.111441987750755089e-01,4.290303019037005505e+00 --5.041425849713880858e+00,1.247795776028909565e+00,4.228177006524168391e+00 --4.987682578688319879e+00,1.733464674153146756e+00,4.086155045076847792e+00 --4.987682578688319879e+00,1.733464674153146756e+00,4.086155045076847792e+00 --4.987682578688319879e+00,1.733464674153146756e+00,4.086155045076847792e+00 --4.951255414699670787e+00,1.516026305021961340e+00,3.841115011947876301e+00 --5.518667742250947583e+00,1.817555541001507624e+00,3.298521498681893593e+00 --5.518667742250947583e+00,1.817555541001507624e+00,3.298521498681893593e+00 --5.619985934923738213e+00,1.538669099953474895e+00,3.167692062507009521e+00 --5.400980876346442194e+00,1.268282125834062413e+00,3.350743833052183707e+00 --5.400980876346442194e+00,1.268282125834062413e+00,3.350743833052183707e+00 --5.400980876346442194e+00,1.268282125834062413e+00,3.350743833052183707e+00 --5.400980876346442194e+00,1.268282125834062413e+00,3.350743833052183707e+00 --6.016304774634109620e+00,6.434964902329890490e-01,3.402545081556599182e+00 --7.044190222163701165e+00,1.093617981054328947e-01,3.570393807334605984e+00 --5.547215804231949932e+00,7.885813061309273619e-01,4.339624959958602091e+00 --5.547215804231949932e+00,7.885813061309273619e-01,4.339624959958602091e+00 --5.547215804231949932e+00,7.885813061309273619e-01,4.339624959958602091e+00 --7.124665685306522001e+00,8.298510576778728165e-02,4.437012976937644737e+00 --7.452544545006631438e+00,1.954412120945692166e-01,4.908249294569863252e+00 --7.452544545006631438e+00,1.954412120945692166e-01,4.908249294569863252e+00 --7.452544545006631438e+00,1.954412120945692166e-01,4.908249294569863252e+00 --6.207968768498126622e+00,1.156341457854760613e+00,5.078940889062067754e+00 --5.784961745490690532e+00,1.497939979007236744e+00,4.926932235379431368e+00 --6.649230327876331614e+00,6.775237398782938403e-01,5.023234575546513092e+00 --6.424906462630771919e+00,1.984285374369829880e+00,5.124553247286919522e+00 --6.424906462630771919e+00,1.984285374369829880e+00,5.124553247286919522e+00 --6.694187068818058250e+00,2.647681285205964574e+00,4.671759334574036693e+00 --6.694187068818058250e+00,2.647681285205964574e+00,4.671759334574036693e+00 --6.694187068818058250e+00,2.647681285205964574e+00,4.671759334574036693e+00 --6.694187068818058250e+00,2.647681285205964574e+00,4.671759334574036693e+00 --6.694187068818058250e+00,2.647681285205964574e+00,4.671759334574036693e+00 --6.694187068818058250e+00,2.647681285205964574e+00,4.671759334574036693e+00 --6.694187068818058250e+00,2.647681285205964574e+00,4.671759334574036693e+00 --6.694187068818058250e+00,2.647681285205964574e+00,4.671759334574036693e+00 --6.353523468313921896e+00,2.522260539622749764e+00,4.618670125854994701e+00 --6.240104651389161816e+00,1.892020811674622882e+00,5.077344049867283715e+00 --6.240104651389161816e+00,1.892020811674622882e+00,5.077344049867283715e+00 --6.240104651389161816e+00,1.892020811674622882e+00,5.077344049867283715e+00 --5.871560636119462551e+00,1.493924934270820515e+00,4.972506862123428739e+00 --5.561178836002166115e+00,1.516337888114427823e+00,4.796967864217520194e+00 --5.561178836002166115e+00,1.516337888114427823e+00,4.796967864217520194e+00 --5.335811243753501465e+00,1.435625112536514258e+00,4.637113007871346504e+00 --5.491551352151705423e+00,2.199857703358753636e+00,4.275674471764117968e+00 --5.635666498719053230e+00,2.152213833244309704e+00,3.466586950267312783e+00 --8.706248428668070360e+00,2.948775852916230900e+00,2.703256839672471212e+00 --8.706248428668070360e+00,2.948775852916230900e+00,2.703256839672471212e+00 --6.596950716245982171e+00,2.279856502824581632e+00,2.968971184481488557e+00 --5.994179213360707692e+00,2.527500274052049800e+00,3.887446602161555909e+00 --6.013870706015490342e+00,2.524952607494237444e+00,3.806121879554285048e+00 --6.013870706015490342e+00,2.524952607494237444e+00,3.806121879554285048e+00 --6.207945498826406450e+00,2.632286837771019794e+00,3.989142605366840399e+00 --5.709870567133751962e+00,2.016832892043751713e+00,3.280972743203184550e+00 --5.709870567133751962e+00,2.016832892043751713e+00,3.280972743203184550e+00 --5.709870567133751962e+00,2.016832892043751713e+00,3.280972743203184550e+00 --5.709870567133751962e+00,2.016832892043751713e+00,3.280972743203184550e+00 --5.186264515017009913e+00,1.965331693561807480e+00,3.790293545246649742e+00 --5.186264515017009913e+00,1.965331693561807480e+00,3.790293545246649742e+00 --5.186264515017009913e+00,1.965331693561807480e+00,3.790293545246649742e+00 --6.545716271254322649e+00,2.643393606954509423e+00,4.559118232586980568e+00 --6.545716271254322649e+00,2.643393606954509423e+00,4.559118232586980568e+00 --6.545716271254322649e+00,2.643393606954509423e+00,4.559118232586980568e+00 --7.790730464507239716e+00,2.568412467806311827e+00,5.312810393897220429e+00 --7.790730464507239716e+00,2.568412467806311827e+00,5.312810393897220429e+00 --6.610287456903670034e+00,1.625582420171675313e+00,5.291805859960700076e+00 --6.610287456903670034e+00,1.625582420171675313e+00,5.291805859960700076e+00 --6.610287456903670034e+00,1.625582420171675313e+00,5.291805859960700076e+00 --5.788526026750853148e+00,7.869678853540565955e-01,4.595279008042192359e+00 --5.788526026750853148e+00,7.869678853540565955e-01,4.595279008042192359e+00 --5.788526026750853148e+00,7.869678853540565955e-01,4.595279008042192359e+00 --5.062294377775200083e+00,1.329231237993991677e+00,4.327686244568557328e+00 --4.968849424717114438e+00,1.673663456137422179e+00,3.886262161525598113e+00 --4.968849424717114438e+00,1.673663456137422179e+00,3.886262161525598113e+00 --4.968849424717114438e+00,1.673663456137422179e+00,3.886262161525598113e+00 --4.955089504809999212e+00,1.496827261779638540e+00,4.171246330540228975e+00 --4.955089504809999212e+00,1.496827261779638540e+00,4.171246330540228975e+00 --4.955089504809999212e+00,1.496827261779638540e+00,4.171246330540228975e+00 --5.847246928036572200e+00,2.133422885100409783e+00,3.278703775242824303e+00 --5.847246928036572200e+00,2.133422885100409783e+00,3.278703775242824303e+00 --5.847246928036572200e+00,2.133422885100409783e+00,3.278703775242824303e+00 --5.634023829024876306e+00,8.758231811749894735e-01,3.435488711319538258e+00 --5.634023829024876306e+00,8.758231811749894735e-01,3.435488711319538258e+00 --5.053000459278138123e+00,1.251600506970273807e+00,4.256015660306204929e+00 --5.023255835529060853e+00,1.188006282714444417e+00,3.987286893192009352e+00 --5.023255835529060853e+00,1.188006282714444417e+00,3.987286893192009352e+00 --5.475394511538279829e+00,7.597534924959377101e-01,3.959067288782349703e+00 --5.475394511538279829e+00,7.597534924959377101e-01,3.959067288782349703e+00 --6.089741641144918560e+00,7.440512337512396046e-01,4.769759034460268055e+00 --6.089741641144918560e+00,7.440512337512396046e-01,4.769759034460268055e+00 --5.818478553144915466e+00,8.937224616568799629e-01,3.275326303204793454e+00 --5.300949831178166427e+00,1.397726831157537042e+00,3.396066313827091676e+00 --5.300949831178166427e+00,1.397726831157537042e+00,3.396066313827091676e+00 --5.300949831178166427e+00,1.397726831157537042e+00,3.396066313827091676e+00 --5.300949831178166427e+00,1.397726831157537042e+00,3.396066313827091676e+00 --6.297909808073320015e+00,2.350898637706916983e+00,3.194936534425302455e+00 --5.037659681940933609e+00,1.575577291027837390e+00,4.325873629192569680e+00 --5.037659681940933609e+00,1.575577291027837390e+00,4.325873629192569680e+00 --5.762267758481039337e+00,8.504882031157887656e-01,3.356068286717767357e+00 --5.265491772984376873e+00,1.893984244404749884e+00,4.429550992696448475e+00 --5.265491772984376873e+00,1.893984244404749884e+00,4.429550992696448475e+00 --5.363013876713665695e+00,1.711710046232656213e+00,4.626449200030729791e+00 --5.696606420417888117e+00,1.848406224503414963e+00,4.805894155783793309e+00 --4.999808051605766579e+00,1.303333463914066126e+00,4.188085598521088748e+00 --5.104321132927292837e+00,1.815062832959098760e+00,3.718393161666147861e+00 --5.074437883800355209e+00,1.726291913123468191e+00,3.687788979956527768e+00 --5.074437883800355209e+00,1.726291913123468191e+00,3.687788979956527768e+00 --5.074437883800355209e+00,1.726291913123468191e+00,3.687788979956527768e+00 --5.108780007461051653e+00,1.871628525921888997e+00,3.788061062181852012e+00 --5.808160079918017971e+00,2.297124495888861251e+00,3.503010578429222477e+00 --5.466258706155436187e+00,2.180780779297867067e+00,4.277564594059353631e+00 --5.466258706155436187e+00,2.180780779297867067e+00,4.277564594059353631e+00 --7.006122428801543123e+00,1.925309403433289379e+00,2.621783686305349637e+00 --6.576639202868056699e+00,2.027857452037844066e+00,2.828568576323188921e+00 --6.576639202868056699e+00,2.027857452037844066e+00,2.828568576323188921e+00 --6.169911040919388689e+00,4.180208159231986187e-01,3.728931829007540166e+00 --6.169911040919388689e+00,4.180208159231986187e-01,3.728931829007540166e+00 --6.169911040919388689e+00,4.180208159231986187e-01,3.728931829007540166e+00 --6.169911040919388689e+00,4.180208159231986187e-01,3.728931829007540166e+00 --6.169911040919388689e+00,4.180208159231986187e-01,3.728931829007540166e+00 --6.169911040919388689e+00,4.180208159231986187e-01,3.728931829007540166e+00 --6.734374439626277464e+00,1.591452046137155074e-01,3.896420443632966357e+00 --6.734374439626277464e+00,1.591452046137155074e-01,3.896420443632966357e+00 --7.714276752760003575e+00,4.206655499820030064e-01,2.725810153491379673e+00 --5.292217362213978760e+00,1.408665222148238749e+00,3.401567725009706944e+00 --4.989115052760878299e+00,1.368746570528847295e+00,4.214787004248974789e+00 --4.989115052760878299e+00,1.368746570528847295e+00,4.214787004248974789e+00 --4.989115052760878299e+00,1.368746570528847295e+00,4.214787004248974789e+00 --4.989115052760878299e+00,1.368746570528847295e+00,4.214787004248974789e+00 --4.989115052760878299e+00,1.368746570528847295e+00,4.214787004248974789e+00 --4.989115052760878299e+00,1.368746570528847295e+00,4.214787004248974789e+00 --5.103687562585245807e+00,1.916377170842706645e+00,4.067553544448668568e+00 --7.718779001195480660e+00,3.166881949687541109e+00,3.879461897382400437e+00 --7.718779001195480660e+00,3.166881949687541109e+00,3.879461897382400437e+00 --7.667116924341492279e+00,3.154541029259089857e+00,4.062102930857351524e+00 --7.667116924341492279e+00,3.154541029259089857e+00,4.062102930857351524e+00 --6.633722010325380225e+00,2.746750056573106225e+00,3.608104383870339493e+00 --5.681913148145708803e+00,2.340430391068248905e+00,3.776760726806666302e+00 --5.479359272842835082e+00,2.241870803087015140e+00,3.943141829512623708e+00 --5.796300775763167046e+00,2.396156763737222306e+00,3.740289203627372050e+00 --5.796300775763167046e+00,2.396156763737222306e+00,3.740289203627372050e+00 --5.814246394342592161e+00,1.708090127832692318e+00,3.080657430430595589e+00 --5.715101507329965358e+00,1.833705836518358279e+00,3.176599860830193300e+00 --5.715101507329965358e+00,1.833705836518358279e+00,3.176599860830193300e+00 --5.133512650460239968e+00,1.213647896833450979e+00,3.645372039097811712e+00 --5.133512650460239968e+00,1.213647896833450979e+00,3.645372039097811712e+00 --6.197134287677863007e+00,1.527566463476128344e+00,2.872782077435515724e+00 --5.748079427007586339e+00,1.848540079245428736e+00,3.162835077569248643e+00 --5.731820293798539190e+00,2.199200947423538111e+00,3.436808916883554055e+00 --5.731820293798539190e+00,2.199200947423538111e+00,3.436808916883554055e+00 --5.731820293798539190e+00,2.199200947423538111e+00,3.436808916883554055e+00 --5.731820293798539190e+00,2.199200947423538111e+00,3.436808916883554055e+00 --5.731820293798539190e+00,2.199200947423538111e+00,3.436808916883554055e+00 --5.673273364161442345e+00,2.045484335554751620e+00,3.329204896404913683e+00 --5.673273364161442345e+00,2.045484335554751620e+00,3.329204896404913683e+00 --5.709881570712833643e+00,1.951101716106628858e+00,4.761993884240416364e+00 --5.709881570712833643e+00,1.951101716106628858e+00,4.761993884240416364e+00 --5.556579976851478975e+00,2.193471304928356957e+00,4.387199423131995957e+00 --5.633941747506096220e+00,7.040713080777387667e-01,4.273285806551171184e+00 --5.633941747506096220e+00,7.040713080777387667e-01,4.273285806551171184e+00 --5.633941747506096220e+00,7.040713080777387667e-01,4.273285806551171184e+00 --6.464616019373151445e+00,2.697660378135202652e-01,4.159330740403150983e+00 --6.464616019373151445e+00,2.697660378135202652e-01,4.159330740403150983e+00 --5.945313256109951539e+00,5.276150932944183580e-01,4.272078511651394628e+00 --5.945313256109951539e+00,5.276150932944183580e-01,4.272078511651394628e+00 --5.945313256109951539e+00,5.276150932944183580e-01,4.272078511651394628e+00 --5.945313256109951539e+00,5.276150932944183580e-01,4.272078511651394628e+00 --8.811343986335026912e+00,1.120954566405794051e-01,5.399753846945460012e+00 --8.811343986335026912e+00,1.120954566405794051e-01,5.399753846945460012e+00 --9.526842213122975522e+00,-1.581381467231268156e-01,5.360759334594431103e+00 --9.526842213122975522e+00,-1.581381467231268156e-01,5.360759334594431103e+00 --6.884125358349637125e+00,3.777147914813949181e-01,4.835970774771042535e+00 --5.557710884817388397e+00,1.026170590792964799e+00,4.638312183002337719e+00 --5.252419084966873264e+00,1.656249677817898558e+00,4.549773580967642950e+00 --6.521879940435684198e+00,2.125217724650148021e+00,5.097829041517979221e+00 --6.521879940435684198e+00,2.125217724650148021e+00,5.097829041517979221e+00 --6.873875632311240658e+00,2.320140775474405892e+00,5.129376202997384837e+00 --5.545753811112889231e+00,2.148548567304129353e+00,4.446524841573187281e+00 --5.545753811112889231e+00,2.148548567304129353e+00,4.446524841573187281e+00 --5.545753811112889231e+00,2.148548567304129353e+00,4.446524841573187281e+00 --6.444218985317817783e+00,2.645980051048427040e+00,4.452984078194997863e+00 --6.444218985317817783e+00,2.645980051048427040e+00,4.452984078194997863e+00 --8.293549623107583812e+00,3.190797456154584211e+00,4.713441975601435630e+00 --8.293549623107583812e+00,3.190797456154584211e+00,4.713441975601435630e+00 --6.178204433936770101e+00,2.584521287522703936e+00,4.276159153439055949e+00 --6.178204433936770101e+00,2.584521287522703936e+00,4.276159153439055949e+00 --6.178204433936770101e+00,2.584521287522703936e+00,4.276159153439055949e+00 --5.691455103096551227e+00,2.364562849517851451e+00,4.135026106777292654e+00 --5.691455103096551227e+00,2.364562849517851451e+00,4.135026106777292654e+00 --5.234027509072239681e+00,2.034223752458098833e+00,4.151255937282264163e+00 --5.234027509072239681e+00,2.034223752458098833e+00,4.151255937282264163e+00 --5.234027509072239681e+00,2.034223752458098833e+00,4.151255937282264163e+00 --4.933487914110134653e+00,1.450394963659028758e+00,3.927383736938240055e+00 --4.933487914110134653e+00,1.450394963659028758e+00,3.927383736938240055e+00 --4.933487914110134653e+00,1.450394963659028758e+00,3.927383736938240055e+00 --4.933487914110134653e+00,1.450394963659028758e+00,3.927383736938240055e+00 --4.933487914110134653e+00,1.450394963659028758e+00,3.927383736938240055e+00 --5.428964385778401791e+00,9.180942694878592159e-01,3.594295706509232691e+00 --5.746627681709705726e+00,1.312396645220223812e+00,3.113614908650654378e+00 --4.987643650032440590e+00,1.723842998403947835e+00,3.891446652381049809e+00 --4.987643650032440590e+00,1.723842998403947835e+00,3.891446652381049809e+00 --4.928280105403175071e+00,1.472714702338028925e+00,3.957792357137811301e+00 --5.395446552291688569e+00,8.892448059833631957e-01,4.310918819717781680e+00 --5.180505397366816922e+00,2.001586704440311504e+00,4.056232041371742980e+00 --5.268976805495498184e+00,1.496344807860918724e+00,4.585840688453126646e+00 --5.197350569462072301e+00,1.561915569436696183e+00,4.517458113188605573e+00 --5.197350569462072301e+00,1.561915569436696183e+00,4.517458113188605573e+00 --5.197350569462072301e+00,1.561915569436696183e+00,4.517458113188605573e+00 --5.783004393254596920e+00,1.166394192744491409e+00,4.863688268880217436e+00 --6.299747752322025107e+00,3.797275048420407639e-01,4.344939351329903943e+00 --6.299747752322025107e+00,3.797275048420407639e-01,4.344939351329903943e+00 --6.299747752322025107e+00,3.797275048420407639e-01,4.344939351329903943e+00 --6.299747752322025107e+00,3.797275048420407639e-01,4.344939351329903943e+00 --5.767703579761620070e+00,8.169655855111213061e-01,4.612709911431799981e+00 --4.957177906673598144e+00,1.608405503155045935e+00,4.140256981076195331e+00 --4.952035536944277894e+00,1.448447010148918634e+00,3.846299989059851931e+00 --5.195380632364035911e+00,1.059295825972569549e+00,4.274602131346691536e+00 --5.195380632364035911e+00,1.059295825972569549e+00,4.274602131346691536e+00 --5.117480902850388702e+00,1.125624990873827835e+00,3.772909439708566737e+00 --5.117480902850388702e+00,1.125624990873827835e+00,3.772909439708566737e+00 --6.151551821333531400e+00,1.406078794217781258e+00,5.103166576551000588e+00 --6.247204022531827938e+00,1.738681319983461870e+00,5.124491492721972463e+00 --5.351077568504608806e+00,1.888437198432300734e+00,4.523870192471363794e+00 --5.351077568504608806e+00,1.888437198432300734e+00,4.523870192471363794e+00 --5.351077568504608806e+00,1.888437198432300734e+00,4.523870192471363794e+00 --4.990003860226842392e+00,1.251545555640788621e+00,4.050200761810026862e+00 --5.388895412707737087e+00,1.927638200645777289e+00,3.470597649006458951e+00 --5.668430756793137348e+00,1.817246781441594461e+00,4.801268434196303225e+00 --5.668430756793137348e+00,1.817246781441594461e+00,4.801268434196303225e+00 --5.668430756793137348e+00,1.817246781441594461e+00,4.801268434196303225e+00 --5.668430756793137348e+00,1.817246781441594461e+00,4.801268434196303225e+00 --6.163830804123331397e+00,2.462349954780202133e+00,4.558533110781432640e+00 --5.386623425071331184e+00,1.838189415875446819e+00,4.588640137301615241e+00 --5.386623425071331184e+00,1.838189415875446819e+00,4.588640137301615241e+00 --5.386623425071331184e+00,1.838189415875446819e+00,4.588640137301615241e+00 --5.057572179301305759e+00,1.267967797517726813e+00,3.720752612377769442e+00 --5.057572179301305759e+00,1.267967797517726813e+00,3.720752612377769442e+00 --5.057435783552159947e+00,1.147558078618644783e+00,4.086408001866080220e+00 --5.955465544798150823e+00,5.417648395905370062e-01,4.333911349514374400e+00 --6.090870835208530565e+00,7.169619716039226098e-01,4.742945589175562304e+00 --6.090870835208530565e+00,7.169619716039226098e-01,4.742945589175562304e+00 --6.928926721363496632e+00,2.939512061153174982e-01,4.740688122838559337e+00 --7.167732016788630922e+00,1.174600316250643761e+00,5.461537864643184470e+00 --7.162213429427742639e+00,1.756028653763021197e+00,5.473400361429759720e+00 --7.162213429427742639e+00,1.756028653763021197e+00,5.473400361429759720e+00 --5.283742024141164784e+00,1.367014430446915618e+00,4.583354720228709489e+00 --5.405372803366136125e+00,2.162408419921871161e+00,3.797926360541371338e+00 --5.405372803366136125e+00,2.162408419921871161e+00,3.797926360541371338e+00 --5.517753586330078619e+00,2.190499889623068963e+00,3.660574962706169444e+00 --5.878359227134367870e+00,2.428594463437052653e+00,4.300528562352615936e+00 --5.878359227134367870e+00,2.428594463437052653e+00,4.300528562352615936e+00 --5.163452325951954691e+00,1.933943847161663232e+00,3.777759295708911669e+00 --5.004071272330579134e+00,1.588801627020491214e+00,3.734610831889463967e+00 --4.932238770774568515e+00,1.420225900737938085e+00,3.989012232128210211e+00 --5.020418451815285898e+00,1.358592550743941585e+00,3.726745078193474114e+00 --5.119997011229417971e+00,1.935441071746386577e+00,3.931926866921778618e+00 --5.119997011229417971e+00,1.935441071746386577e+00,3.931926866921778618e+00 --5.462941770185427259e+00,1.967497015256951531e+00,3.435523093393025640e+00 --5.478296651672907913e+00,2.239562523832673069e+00,4.074764912870032951e+00 --5.005591264242008620e+00,1.553569079921328200e+00,3.722569855459611166e+00 --5.005591264242008620e+00,1.553569079921328200e+00,3.722569855459611166e+00 --5.005591264242008620e+00,1.553569079921328200e+00,3.722569855459611166e+00 --5.340658821908323972e+00,1.453454045759304369e+00,3.357552987995542360e+00 --5.340658821908323972e+00,1.453454045759304369e+00,3.357552987995542360e+00 --5.340658821908323972e+00,1.453454045759304369e+00,3.357552987995542360e+00 --5.805384526846474103e+00,1.696690189312910046e+00,3.082970358463896332e+00 --5.033801063935354314e+00,1.811269760501359016e+00,3.894368246658070909e+00 --5.192013494546257490e+00,1.078175738166420317e+00,4.297192957278805459e+00 --5.192013494546257490e+00,1.078175738166420317e+00,4.297192957278805459e+00 --5.024025404020132868e+00,1.759685141288283905e+00,4.175598686201024812e+00 --5.540329446207788777e+00,1.095229549239875144e+00,4.671368896792622571e+00 --5.540329446207788777e+00,1.095229549239875144e+00,4.671368896792622571e+00 --5.540329446207788777e+00,1.095229549239875144e+00,4.671368896792622571e+00 --5.665613306469401422e+00,8.462927240932724970e-01,3.440959776869931375e+00 --5.417281233661802808e+00,8.002563990799052007e-01,4.043428030285646457e+00 --5.613084408103148348e+00,6.923101558813657963e-01,3.813004302209720198e+00 --5.744039805757424233e+00,7.359467508771491140e-01,3.515739424025093207e+00 --6.226701745330140092e+00,3.793589473230019049e-01,3.787605923890427828e+00 --6.151313577041181091e+00,7.879261364551254365e-01,3.152350156563002770e+00 --6.151313577041181091e+00,7.879261364551254365e-01,3.152350156563002770e+00 --5.419579730973148379e+00,1.293466329536239412e+00,4.671691477628847622e+00 --5.419579730973148379e+00,1.293466329536239412e+00,4.671691477628847622e+00 --5.419579730973148379e+00,1.293466329536239412e+00,4.671691477628847622e+00 --5.419579730973148379e+00,1.293466329536239412e+00,4.671691477628847622e+00 --5.419579730973148379e+00,1.293466329536239412e+00,4.671691477628847622e+00 --5.419579730973148379e+00,1.293466329536239412e+00,4.671691477628847622e+00 --5.452725669226254013e+00,7.742846773388649684e-01,3.982427098634330420e+00 --5.452725669226254013e+00,7.742846773388649684e-01,3.982427098634330420e+00 --5.213813084459103742e+00,1.235387789573693551e+00,4.466946816815060117e+00 --5.409464703134616137e+00,1.210181808030659445e+00,4.632230959317516827e+00 --5.409464703134616137e+00,1.210181808030659445e+00,4.632230959317516827e+00 --5.409464703134616137e+00,1.210181808030659445e+00,4.632230959317516827e+00 --5.020435430774679020e+00,1.807484453732786545e+00,4.011602097596504990e+00 --5.059518845728241843e+00,1.390662348378602697e+00,3.650987119367395728e+00 --5.191387847225393593e+00,1.959638646366948844e+00,3.766834759939089672e+00 --5.191387847225393593e+00,1.959638646366948844e+00,3.766834759939089672e+00 --5.626428310427659341e+00,1.219223357963505450e+00,4.788567470097314427e+00 --5.817833152012671150e+00,1.055993133908275983e+00,4.833628767532278658e+00 --5.817833152012671150e+00,1.055993133908275983e+00,4.833628767532278658e+00 --6.943732565034839155e+00,1.319532872009050006e+00,5.409045793411571879e+00 --7.971464764695113558e+00,9.293480368879691866e-01,5.649262553043877588e+00 --6.542763948353165659e+00,1.955592737307686901e+00,5.187200519392980880e+00 --5.999058388446695034e+00,2.223297555157198069e+00,4.741717535407937056e+00 --4.931107592212439883e+00,1.507906729826683945e+00,4.072738868682407976e+00 --4.931107592212439883e+00,1.507906729826683945e+00,4.072738868682407976e+00 --4.931107592212439883e+00,1.507906729826683945e+00,4.072738868682407976e+00 --4.931107592212439883e+00,1.507906729826683945e+00,4.072738868682407976e+00 --4.931107592212439883e+00,1.507906729826683945e+00,4.072738868682407976e+00 --5.127260273240617394e+00,1.864479536391444592e+00,4.262032074322598341e+00 --6.421381634444034425e+00,1.356798953241844075e+00,5.214545578326607256e+00 --4.960444828353308466e+00,1.572985926069874418e+00,3.828641457375651314e+00 --5.463552608183271708e+00,1.144551219136697329e+00,4.641447300678218646e+00 --5.521840505295781298e+00,7.784698282012567638e-01,4.274737299362804777e+00 --5.521840505295781298e+00,7.784698282012567638e-01,4.274737299362804777e+00 --4.978770975112653652e+00,1.580561635909224272e+00,4.215700405918934024e+00 --5.365796215893317012e+00,9.664758134728084205e-01,4.394200488920454006e+00 --5.365796215893317012e+00,9.664758134728084205e-01,4.394200488920454006e+00 --5.446500656949504915e+00,8.007090915063082015e-01,4.178153724151032478e+00 --5.774933377914100774e+00,5.835568378832660663e-01,4.096494433543557356e+00 --5.528029168972841134e+00,1.121816944881637523e+00,4.677681793303827718e+00 --5.528029168972841134e+00,1.121816944881637523e+00,4.677681793303827718e+00 --5.528029168972841134e+00,1.121816944881637523e+00,4.677681793303827718e+00 --5.697740587858227457e+00,6.433569065241042662e-01,4.195317857451859034e+00 --5.697740587858227457e+00,6.433569065241042662e-01,4.195317857451859034e+00 --5.181218430827568611e+00,1.515465852100847499e+00,4.505198085336507674e+00 --6.406343956545031304e+00,2.558641025373975530e+00,4.599890826002097199e+00 --7.088976451220700525e+00,1.758888799124615154e+00,2.552174420695011658e+00 --7.088976451220700525e+00,1.758888799124615154e+00,2.552174420695011658e+00 --7.489557043142621495e+00,1.649341330981003662e+00,2.405791708343996582e+00 --7.500852606423260127e+00,1.764050279488111883e+00,2.417162066569410683e+00 --7.306671289064903263e+00,1.942880295974898530e+00,2.521901830160324209e+00 --7.306671289064903263e+00,1.942880295974898530e+00,2.521901830160324209e+00 --6.449923820983805456e+00,2.376798192252932651e+00,3.130865592542152243e+00 --6.449923820983805456e+00,2.376798192252932651e+00,3.130865592542152243e+00 --6.449923820983805456e+00,2.376798192252932651e+00,3.130865592542152243e+00 --6.449923820983805456e+00,2.376798192252932651e+00,3.130865592542152243e+00 --5.245671474782903410e+00,1.808536874172721243e+00,3.525951121465371596e+00 --5.339015115511588583e+00,1.829603211034870114e+00,3.448073640810297213e+00 --5.339015115511588583e+00,1.829603211034870114e+00,3.448073640810297213e+00 --5.081012024501114333e+00,1.138220272683274636e+00,3.843880428564964369e+00 --5.221076363997767089e+00,9.788944627459816861e-01,4.154179279484231380e+00 --5.221076363997767089e+00,9.788944627459816861e-01,4.154179279484231380e+00 --5.221076363997767089e+00,9.788944627459816861e-01,4.154179279484231380e+00 --5.234055471095603096e+00,9.519619471875527816e-01,4.089194343690918387e+00 --5.234055471095603096e+00,9.519619471875527816e-01,4.089194343690918387e+00 --5.234055471095603096e+00,9.519619471875527816e-01,4.089194343690918387e+00 --5.234055471095603096e+00,9.519619471875527816e-01,4.089194343690918387e+00 --5.234055471095603096e+00,9.519619471875527816e-01,4.089194343690918387e+00 --5.231605497268297711e+00,1.455416194740952962e+00,3.448761713268906792e+00 --6.835666352388195754e+00,1.768835543976829294e+00,2.644404311800827578e+00 --6.835666352388195754e+00,1.768835543976829294e+00,2.644404311800827578e+00 --6.835666352388195754e+00,1.768835543976829294e+00,2.644404311800827578e+00 --6.427277681264619957e+00,6.782147160423237509e-01,3.091048683637824812e+00 --5.850639673178299915e+00,5.956760642895999602e-01,3.672763449992421769e+00 --5.736420340161092923e+00,6.557593916192732131e-01,3.687071889240767231e+00 --5.736420340161092923e+00,6.557593916192732131e-01,3.687071889240767231e+00 --6.366577490654760751e+00,9.004274364296624977e-01,2.960126883293079825e+00 --6.366577490654760751e+00,9.004274364296624977e-01,2.960126883293079825e+00 --7.114105560091715574e+00,2.096916585255070853e-02,4.028622000526265623e+00 --7.114105560091715574e+00,2.096916585255070853e-02,4.028622000526265623e+00 --5.561399146910352087e+00,8.560987565140889544e-01,3.529855125808056382e+00 --6.101641019937593668e+00,1.127801136554839934e+00,2.981493793259445191e+00 --6.101641019937593668e+00,1.127801136554839934e+00,2.981493793259445191e+00 --6.101641019937593668e+00,1.127801136554839934e+00,2.981493793259445191e+00 --8.909023126944815019e+00,1.852770440660836959e-01,2.498409994949849722e+00 --9.988929420520836544e+00,4.612452485352877551e-02,2.282612044274862306e+00 --9.988929420520836544e+00,4.612452485352877551e-02,2.282612044274862306e+00 --7.053497301807686526e+00,8.550108456874879748e-01,2.691668176719596239e+00 --7.053497301807686526e+00,8.550108456874879748e-01,2.691668176719596239e+00 --7.053497301807686526e+00,8.550108456874879748e-01,2.691668176719596239e+00 --7.638240883501888234e+00,9.779207755608065877e-01,2.437975661491739832e+00 --7.708982182949188910e+00,2.065491070111519445e+00,2.430462520436473817e+00 --7.708982182949188910e+00,2.065491070111519445e+00,2.430462520436473817e+00 --7.708982182949188910e+00,2.065491070111519445e+00,2.430462520436473817e+00 --7.316815939802667756e+00,2.784890077457647273e+00,3.139698136794498051e+00 --7.192759003333245360e+00,2.781751729099456671e+00,3.209989002946725734e+00 --7.192759003333245360e+00,2.781751729099456671e+00,3.209989002946725734e+00 --7.278836111391987274e+00,2.991563969283012270e+00,3.641783718809428194e+00 --7.278836111391987274e+00,2.991563969283012270e+00,3.641783718809428194e+00 --5.281948169786269354e+00,1.214121540370582952e+00,4.523896500549001942e+00 --5.943322558642336162e+00,1.538524961901470478e+00,5.008010046147425953e+00 --8.806828826275832967e+00,2.248321294380639657e+00,5.822385780737334926e+00 --7.998539042304594560e+00,9.215675151009872224e-01,5.654750969148970796e+00 --7.287358217270996086e+00,1.175078387376143230e+00,5.502008665122215092e+00 --7.287358217270996086e+00,1.175078387376143230e+00,5.502008665122215092e+00 --5.876751070251208020e+00,1.628670913933325304e+00,4.966664747128020529e+00 --5.876751070251208020e+00,1.628670913933325304e+00,4.966664747128020529e+00 --4.933802496829749806e+00,1.526925543348909287e+00,4.085576744074690403e+00 --5.364175128687394434e+00,2.161924376528714387e+00,4.016646790254481125e+00 --5.373833209632989494e+00,1.817766971651483043e+00,4.589154672850639827e+00 --4.953174696608629191e+00,1.341921076557433867e+00,4.049311436332537539e+00 --5.331087259204162265e+00,9.421074493855581267e-01,4.306739349210994661e+00 --5.331087259204162265e+00,9.421074493855581267e-01,4.306739349210994661e+00 --6.268381552113282851e+00,9.233601112595141158e-01,5.005044206991887457e+00 --6.268381552113282851e+00,9.233601112595141158e-01,5.005044206991887457e+00 --5.345194915188605123e+00,8.547835851745391178e-01,4.056005003434460576e+00 --5.735614640865162706e+00,2.335286948831435616e+00,4.334897329279201905e+00 --5.735614640865162706e+00,2.335286948831435616e+00,4.334897329279201905e+00 --6.002464611439629394e+00,2.523802514455559365e+00,3.831065426820284170e+00 --6.223343416480981993e+00,2.065183683320175767e+00,4.989018042186759594e+00 --6.223343416480981993e+00,2.065183683320175767e+00,4.989018042186759594e+00 --4.928835528517042874e+00,1.522134288275275082e+00,4.050906472878204490e+00 --4.928835528517042874e+00,1.522134288275275082e+00,4.050906472878204490e+00 --5.880637219087460288e+00,1.993759651368011587e+00,3.156741740064345159e+00 --5.880637219087460288e+00,1.993759651368011587e+00,3.156741740064345159e+00 --5.880637219087460288e+00,1.993759651368011587e+00,3.156741740064345159e+00 --5.880637219087460288e+00,1.993759651368011587e+00,3.156741740064345159e+00 --5.880637219087460288e+00,1.993759651368011587e+00,3.156741740064345159e+00 --6.046411130754044905e+00,2.282976254588428233e+00,3.287535837612844958e+00 --6.675118180433845083e+00,2.306315744073779150e+00,2.951563560117304252e+00 --5.029331854723449347e+00,1.320448280454606049e+00,3.732906567072398651e+00 --5.336026771878550790e+00,1.021541859145225439e+00,3.574147388748580401e+00 --5.176086892846987197e+00,1.658133839147841959e+00,3.525314368297647771e+00 --5.413791816157601744e+00,1.864023475376805683e+00,3.403741169697669378e+00 --5.413791816157601744e+00,1.864023475376805683e+00,3.403741169697669378e+00 --5.413791816157601744e+00,1.864023475376805683e+00,3.403741169697669378e+00 --5.299876002970263400e+00,1.995358689891160164e+00,4.358805850706040985e+00 --5.299876002970263400e+00,1.995358689891160164e+00,4.358805850706040985e+00 --6.037099175527561812e+00,2.488647947102641478e+00,3.634048801889373070e+00 --5.878704251693654292e+00,2.433114606859207107e+00,3.713212187600395175e+00 --5.878704251693654292e+00,2.433114606859207107e+00,3.713212187600395175e+00 --5.878704251693654292e+00,2.433114606859207107e+00,3.713212187600395175e+00 --5.878704251693654292e+00,2.433114606859207107e+00,3.713212187600395175e+00 --5.785961916673791450e+00,2.384159354842276812e+00,4.280125006202569971e+00 --5.785961916673791450e+00,2.384159354842276812e+00,4.280125006202569971e+00 --5.362992680377910659e+00,8.625116296248886982e-01,4.175633496792908517e+00 --5.142935595842288876e+00,1.130809181764247606e+00,4.284393394357207896e+00 --5.142935595842288876e+00,1.130809181764247606e+00,4.284393394357207896e+00 --6.212550989142668456e+00,4.552849788188612079e-01,4.442003824465887263e+00 --6.212550989142668456e+00,4.552849788188612079e-01,4.442003824465887263e+00 --6.212550989142668456e+00,4.552849788188612079e-01,4.442003824465887263e+00 --6.212550989142668456e+00,4.552849788188612079e-01,4.442003824465887263e+00 --5.452837386028535072e+00,7.941558516842679438e-01,4.169903771289172667e+00 --5.452837386028535072e+00,7.941558516842679438e-01,4.169903771289172667e+00 --5.452837386028535072e+00,7.941558516842679438e-01,4.169903771289172667e+00 --6.249216962072697612e+00,4.274827443858029707e-01,3.583863525194199706e+00 --6.249216962072697612e+00,4.274827443858029707e-01,3.583863525194199706e+00 --7.342769301444693753e+00,1.141774106611104456e+00,2.487158508656068356e+00 --8.006347313122534004e+00,3.861006265297459716e-01,2.643599850307285060e+00 --8.473010226823653568e+00,1.538106968884999093e+00,2.116969476368649072e+00 --7.825176102055227290e+00,1.327816716622358895e+00,2.305959006941735279e+00 --7.825176102055227290e+00,1.327816716622358895e+00,2.305959006941735279e+00 --8.614106237697761514e+00,1.108078923342878941e+00,2.119906923965998669e+00 --8.614106237697761514e+00,1.108078923342878941e+00,2.119906923965998669e+00 --8.614106237697761514e+00,1.108078923342878941e+00,2.119906923965998669e+00 --8.614106237697761514e+00,1.108078923342878941e+00,2.119906923965998669e+00 --7.870019614319360812e+00,2.906116699437810702e+00,3.016586908230936892e+00 --7.643131295071764697e+00,2.879473053994809462e+00,3.097541549125220062e+00 --8.004708941066180472e+00,3.199332105762100475e+00,3.562706960295918712e+00 --7.650823043683029567e+00,3.066253634138025319e+00,3.478541982117671072e+00 --5.781417655147813583e+00,2.326946627312846516e+00,3.585484864082105094e+00 --5.173022279170394810e+00,1.753893361435073572e+00,3.572441457375830964e+00 --4.939170115125838478e+00,1.534452214642095802e+00,4.110584932126410962e+00 --6.552926214551424877e+00,1.989334293873349591e+00,2.821983009217522209e+00 --6.552926214551424877e+00,1.989334293873349591e+00,2.821983009217522209e+00 --6.139172495894668735e+00,1.335161070081673618e+00,2.910850565689280689e+00 --6.139172495894668735e+00,1.335161070081673618e+00,2.910850565689280689e+00 --6.531817642699760285e+00,1.144893910892739397e+00,2.783462628868304645e+00 --6.640298248344729259e+00,1.068042920166768495e+00,2.763894342417289263e+00 --6.640298248344729259e+00,1.068042920166768495e+00,2.763894342417289263e+00 --6.640298248344729259e+00,1.068042920166768495e+00,2.763894342417289263e+00 --5.585736595319914954e+00,8.268486335349582994e-01,3.545192677799190228e+00 --5.585736595319914954e+00,8.268486335349582994e-01,3.545192677799190228e+00 --5.585736595319914954e+00,8.268486335349582994e-01,3.545192677799190228e+00 --5.104232448962088498e+00,1.094721266674931304e+00,4.119278935515984230e+00 --4.934870063768553194e+00,1.404790521430411721e+00,3.992852543083780237e+00 --5.240552563515572082e+00,1.147287164213113719e+00,3.563660583756115052e+00 --5.542399014513342159e+00,1.369326737676757944e+00,3.225681344530268557e+00 --5.542399014513342159e+00,1.369326737676757944e+00,3.225681344530268557e+00 --6.220561325056488400e+00,2.561285709600757077e+00,3.589537048157796839e+00 --8.091045538340463139e+00,2.969027167278532442e+00,2.996381254001608596e+00 --6.831217884595440104e+00,2.139420164509081346e+00,2.776641669421453518e+00 --6.846255544280309913e+00,1.952874348580590613e+00,2.690264822241028586e+00 --6.846255544280309913e+00,1.952874348580590613e+00,2.690264822241028586e+00 --6.846255544280309913e+00,1.952874348580590613e+00,2.690264822241028586e+00 --6.846255544280309913e+00,1.952874348580590613e+00,2.690264822241028586e+00 --6.846255544280309913e+00,1.952874348580590613e+00,2.690264822241028586e+00 --6.009623948123799408e+00,2.346224133192283290e+00,3.393555829685800163e+00 --5.909441693574036591e+00,2.381933436534028115e+00,4.453741087271833266e+00 --5.909441693574036591e+00,2.381933436534028115e+00,4.453741087271833266e+00 --5.909441693574036591e+00,2.381933436534028115e+00,4.453741087271833266e+00 --5.139078811090377563e+00,1.840840309793690954e+00,3.688306943466127752e+00 --5.139078811090377563e+00,1.840840309793690954e+00,3.688306943466127752e+00 --5.476494994833801755e+00,2.002271927534179152e+00,4.546318380457962327e+00 --6.120328700452409620e+00,1.631398733997877937e+00,5.085038681493648127e+00 --6.120328700452409620e+00,1.631398733997877937e+00,5.085038681493648127e+00 --6.120328700452409620e+00,1.631398733997877937e+00,5.085038681493648127e+00 --5.302546518852683022e+00,1.181678556923364320e+00,4.524846496522174633e+00 --4.997334132726579448e+00,1.316574540532070792e+00,3.805230647362405794e+00 --5.257199992363626784e+00,9.317287155159279521e-01,3.907730791833031958e+00 --5.257199992363626784e+00,9.317287155159279521e-01,3.907730791833031958e+00 --4.945738132643725748e+00,1.513086343437544112e+00,4.140757761563865103e+00 --4.945738132643725748e+00,1.513086343437544112e+00,4.140757761563865103e+00 --5.686231795735384509e+00,7.596868078337642993e-01,3.539116022819916552e+00 --5.086775329149880953e+00,1.099827466763839467e+00,3.970282328917897452e+00 --5.298274684229747677e+00,2.107370946345856755e+00,3.939824548643188429e+00 --5.644247151071487778e+00,2.279861745705061171e+00,4.332127499371329016e+00 --6.403488962009018515e+00,1.939990089285887009e+00,2.866799421761299538e+00 --5.619849800751000046e+00,2.137719052656991803e+00,3.463893594693574052e+00 --5.619849800751000046e+00,2.137719052656991803e+00,3.463893594693574052e+00 --5.097734057354149861e+00,1.217970658812795648e+00,4.304038443695811011e+00 --5.097734057354149861e+00,1.217970658812795648e+00,4.304038443695811011e+00 --5.471581267402434889e+00,1.290130781986368325e+00,4.708365757158045284e+00 --5.637546672520628022e+00,1.317196019259035289e+00,4.823635383119978748e+00 --5.840201639330622641e+00,2.436035682105915257e+00,4.195664785632076565e+00 --6.369378390730922490e+00,2.994105695643325404e-01,3.952997048620414233e+00 --7.040423888343449121e+00,8.210112226401483637e-02,3.677149371938364997e+00 --7.040423888343449121e+00,8.210112226401483637e-02,3.677149371938364997e+00 --7.040423888343449121e+00,8.210112226401483637e-02,3.677149371938364997e+00 --7.040423888343449121e+00,8.210112226401483637e-02,3.677149371938364997e+00 --6.975874708029703442e+00,7.912441042465397090e-02,3.823271014941164392e+00 --7.137949365808218261e+00,2.604265926904564266e-02,3.800889501294227202e+00 --7.137949365808218261e+00,2.604265926904564266e-02,3.800889501294227202e+00 --5.600617224582455478e+00,7.212824597447025088e-01,3.738347397753233547e+00 --6.598732466096953075e+00,1.813028349704107978e+00,5.254986687403410350e+00 --6.598732466096953075e+00,1.813028349704107978e+00,5.254986687403410350e+00 --6.615690644889770766e+00,2.388447496616550758e+00,4.948998186419165002e+00 --5.621757718226858991e+00,1.907733474643502403e+00,4.727844076065268908e+00 --6.385996139575076391e+00,2.543586297211043679e+00,4.609236938333296507e+00 --6.385996139575076391e+00,2.543586297211043679e+00,4.609236938333296507e+00 --6.385996139575076391e+00,2.543586297211043679e+00,4.609236938333296507e+00 --5.288699383496806128e+00,1.889435690144694036e+00,3.540342416662531910e+00 --5.050085839956512501e+00,1.787657418142235555e+00,3.796076198236779664e+00 --5.050085839956512501e+00,1.787657418142235555e+00,3.796076198236779664e+00 --5.183831025395715386e+00,9.921098817081854815e-01,4.011158867261134020e+00 --5.339107913629495883e+00,9.742579266926820747e-01,4.370066282124335899e+00 --5.339107913629495883e+00,9.742579266926820747e-01,4.370066282124335899e+00 --5.339107913629495883e+00,9.742579266926820747e-01,4.370066282124335899e+00 --5.611842836771741005e+00,7.671488727231599025e-01,3.613971595342888588e+00 --5.176158152192598116e+00,1.017239868287489024e+00,4.131706775083237915e+00 --5.176158152192598116e+00,1.017239868287489024e+00,4.131706775083237915e+00 --4.984073454960543437e+00,1.352637143732194902e+00,3.808679560071468906e+00 --5.107148237942571001e+00,1.074329744304577616e+00,3.985895442577876757e+00 --5.880234553593407298e+00,1.301490531617097934e+00,3.043404781667264025e+00 --5.479930397699850353e+00,1.932980727747271477e+00,3.394439140729354154e+00 --5.479930397699850353e+00,1.932980727747271477e+00,3.394439140729354154e+00 --5.870971540389998466e+00,1.241570180531485823e+00,3.062753268354176051e+00 --5.214335067649369826e+00,1.564256829649372627e+00,3.466659588373344203e+00 --5.214335067649369826e+00,1.564256829649372627e+00,3.466659588373344203e+00 --5.475414148137009107e+00,9.306373008076753717e-01,4.474853800750029365e+00 --5.346210934672875226e+00,9.230382083806353277e-01,4.295925485326216986e+00 --5.346210934672875226e+00,9.230382083806353277e-01,4.295925485326216986e+00 --5.346210934672875226e+00,9.230382083806353277e-01,4.295925485326216986e+00 --5.180908842916219115e+00,9.954198113113280622e-01,4.023527500513909061e+00 --5.180908842916219115e+00,9.954198113113280622e-01,4.023527500513909061e+00 --5.180908842916219115e+00,9.954198113113280622e-01,4.023527500513909061e+00 --5.180908842916219115e+00,9.954198113113280622e-01,4.023527500513909061e+00 --5.177087205517315383e+00,9.986907202178639809e-01,4.004698798031462559e+00 --5.177087205517315383e+00,9.986907202178639809e-01,4.004698798031462559e+00 --5.044135228196793719e+00,1.159635799747999130e+00,4.050331963650538825e+00 --5.132042931108020234e+00,1.703743871217431760e+00,3.594072379320322419e+00 --5.132042931108020234e+00,1.703743871217431760e+00,3.594072379320322419e+00 --5.132042931108020234e+00,1.703743871217431760e+00,3.594072379320322419e+00 --5.348963030313370837e+00,9.790155378416688370e-01,3.610405226312936033e+00 --5.348963030313370837e+00,9.790155378416688370e-01,3.610405226312936033e+00 --5.348963030313370837e+00,9.790155378416688370e-01,3.610405226312936033e+00 --5.707356733197888943e+00,1.927855815177189402e+00,3.226345036984663572e+00 --4.951443969902539877e+00,1.384102019613806522e+00,3.889286427091118270e+00 --6.198494800159121354e+00,1.945776970184251997e+00,5.036351079602747305e+00 --7.285167773901866539e+00,1.950839381443184362e+00,5.468386016421806772e+00 --7.285167773901866539e+00,1.950839381443184362e+00,5.468386016421806772e+00 --7.361744946089777919e+00,1.949434979853374106e+00,5.494656820864001645e+00 --7.361744946089777919e+00,1.949434979853374106e+00,5.494656820864001645e+00 --6.495549697392471344e+00,2.340089291427094320e+00,4.929540503153737596e+00 --5.739550921885000712e+00,2.366787083128367275e+00,4.249953878921946426e+00 --5.739550921885000712e+00,2.366787083128367275e+00,4.249953878921946426e+00 --5.739550921885000712e+00,2.366787083128367275e+00,4.249953878921946426e+00 --4.990739309351519992e+00,1.451529227672997635e+00,4.250271374237753363e+00 --7.772709638307211399e+00,1.522736223733349714e-01,5.015179351906759564e+00 --7.772709638307211399e+00,1.522736223733349714e-01,5.015179351906759564e+00 --8.873957077250084424e+00,6.230374120533413995e-01,5.783014179352843342e+00 --9.834144174662922566e+00,3.885782884555719630e-01,5.916541630372762484e+00 --8.010408298395091720e+00,9.812331051516957059e-01,5.677955623485272163e+00 --5.699003751629899028e+00,1.409808043788807419e+00,4.874708539941166485e+00 --5.126785679508142124e+00,1.926032306160653906e+00,4.139742694967882386e+00 --5.740061578300280409e+00,2.050223715465167906e+00,4.715235142048610051e+00 --5.555364721449844723e+00,2.267475546530718589e+00,4.201474251725942466e+00 --5.555364721449844723e+00,2.267475546530718589e+00,4.201474251725942466e+00 --5.500781439075242751e+00,2.223058593621073609e+00,4.228502902491997339e+00 --5.443543365716287497e+00,8.730271330267673768e-01,4.353120739941682693e+00 --5.452523758425998679e+00,1.607916471904715205e+00,3.282278841959534343e+00 --5.452523758425998679e+00,1.607916471904715205e+00,3.282278841959534343e+00 --5.452523758425998679e+00,1.607916471904715205e+00,3.282278841959534343e+00 --6.909180389720834370e+00,3.581521230837452219e-01,3.175615573361562305e+00 --6.909180389720834370e+00,3.581521230837452219e-01,3.175615573361562305e+00 --5.048976546761922535e+00,1.642254267138425261e+00,4.320914532896442672e+00 --5.048976546761922535e+00,1.642254267138425261e+00,4.320914532896442672e+00 --5.160974906307504995e+00,1.782677761888747492e+00,4.394099043924726722e+00 --5.329108974385766473e+00,1.605029760504327330e+00,4.626357398755279071e+00 --5.329108974385766473e+00,1.605029760504327330e+00,4.626357398755279071e+00 --6.374131520020949182e+00,2.307612571900633291e+00,4.892266395708312565e+00 --6.374131520020949182e+00,2.307612571900633291e+00,4.892266395708312565e+00 --5.584359822588141675e+00,2.162678014965312645e+00,4.468469356789837477e+00 --5.584359822588141675e+00,2.162678014965312645e+00,4.468469356789837477e+00 --5.236876717075093168e+00,9.518995942359149698e-01,3.896517975195458394e+00 --5.401861797859126568e+00,1.067600797321885508e+00,3.462283908959600698e+00 --7.528956283842738628e+00,8.226625785180469164e-01,2.535617478769899069e+00 --7.528956283842738628e+00,8.226625785180469164e-01,2.535617478769899069e+00 --6.245750174509939967e+00,7.328934704789554777e-01,3.144696770696247423e+00 --5.762803546348806982e+00,1.302329428605816908e+00,3.106705110988082552e+00 --5.762803546348806982e+00,1.302329428605816908e+00,3.106705110988082552e+00 --5.762803546348806982e+00,1.302329428605816908e+00,3.106705110988082552e+00 --5.762803546348806982e+00,1.302329428605816908e+00,3.106705110988082552e+00 --5.854452358298585679e+00,5.377875363858958258e-01,4.053342294153623904e+00 --5.854452358298585679e+00,5.377875363858958258e-01,4.053342294153623904e+00 --6.261208842558183107e+00,3.489662745551830314e-01,3.897159965829849249e+00 --6.028394219657084108e+00,5.075471035576730738e-01,3.656958697557232796e+00 --5.150775388366077401e+00,1.314143033071661693e+00,4.436438361503185490e+00 --5.150775388366077401e+00,1.314143033071661693e+00,4.436438361503185490e+00 --5.150775388366077401e+00,1.314143033071661693e+00,4.436438361503185490e+00 --4.938956394635747316e+00,1.597042374981983981e+00,3.938477327147522189e+00 --4.938956394635747316e+00,1.597042374981983981e+00,3.938477327147522189e+00 --5.275585480950736539e+00,1.938166949520711890e+00,3.602707824794196156e+00 --5.275585480950736539e+00,1.938166949520711890e+00,3.602707824794196156e+00 --5.233413442394843962e+00,1.966280097735923604e+00,3.699596637782579300e+00 --5.233413442394843962e+00,1.966280097735923604e+00,3.699596637782579300e+00 --5.341189325135959898e+00,1.954567656606462700e+00,3.543049851860645472e+00 --5.221977211856658307e+00,1.633641603439198953e+00,3.472398824045882737e+00 --5.552409881071414866e+00,9.136660647429699633e-01,4.531853612020007915e+00 --7.370486355703610215e+00,8.043926086192094704e-01,5.400308030378077717e+00 --7.370486355703610215e+00,8.043926086192094704e-01,5.400308030378077717e+00 --6.022671300094629032e+00,1.867805863938483135e+00,4.980630416481359291e+00 --6.022671300094629032e+00,1.867805863938483135e+00,4.980630416481359291e+00 --6.231290145596478425e+00,9.699894385270921848e-01,5.012237530180026823e+00 --5.589916075154671482e+00,1.616882650426245682e+00,4.806536042818494892e+00 --5.791610486340099229e+00,1.183682210612686969e+00,4.875099656975439899e+00 --5.791610486340099229e+00,1.183682210612686969e+00,4.875099656975439899e+00 --5.625261400805253054e+00,9.160118143968156712e-01,4.598719522867313003e+00 --5.625261400805253054e+00,9.160118143968156712e-01,4.598719522867313003e+00 --6.141520697791299277e+00,2.255543104060181214e+00,4.803069849315559026e+00 --6.141520697791299277e+00,2.255543104060181214e+00,4.803069849315559026e+00 --6.211767151403187803e+00,2.173980946916171497e+00,4.912010253110389968e+00 --5.346488852559367899e+00,2.147105541219878511e+00,3.955400243686705508e+00 --5.608104289053926550e+00,1.196829247785719419e+00,4.768399408665222161e+00 --5.608104289053926550e+00,1.196829247785719419e+00,4.768399408665222161e+00 --5.608104289053926550e+00,1.196829247785719419e+00,4.768399408665222161e+00 --5.608104289053926550e+00,1.196829247785719419e+00,4.768399408665222161e+00 --8.886490842987376126e+00,-2.795477241179022965e-01,4.891036816161643763e+00 --8.886490842987376126e+00,-2.795477241179022965e-01,4.891036816161643763e+00 --8.886490842987376126e+00,-2.795477241179022965e-01,4.891036816161643763e+00 --8.674039788120440519e+00,-2.524981287384222006e-01,4.822821951621417469e+00 --8.674039788120440519e+00,-2.524981287384222006e-01,4.822821951621417469e+00 --7.528480741444369073e+00,-7.926007374670801520e-02,4.329642576278036614e+00 --7.367085750436018543e+00,-6.241549465962723670e-02,3.986236291748179728e+00 --7.367085750436018543e+00,-6.241549465962723670e-02,3.986236291748179728e+00 --7.367085750436018543e+00,-6.241549465962723670e-02,3.986236291748179728e+00 --7.367085750436018543e+00,-6.241549465962723670e-02,3.986236291748179728e+00 --7.367085750436018543e+00,-6.241549465962723670e-02,3.986236291748179728e+00 --7.677564205165319677e+00,-9.615560716014256992e-02,3.548228652880834222e+00 --6.413088221696165547e+00,6.597099161552215651e-01,3.116118410719167731e+00 --6.413088221696165547e+00,6.597099161552215651e-01,3.116118410719167731e+00 --6.413088221696165547e+00,6.597099161552215651e-01,3.116118410719167731e+00 --6.413088221696165547e+00,6.597099161552215651e-01,3.116118410719167731e+00 --6.413088221696165547e+00,6.597099161552215651e-01,3.116118410719167731e+00 --6.413088221696165547e+00,6.597099161552215651e-01,3.116118410719167731e+00 --6.656882534851255251e+00,3.754134028835581782e-01,3.317040713059243640e+00 --8.650916100961762112e+00,-3.193397120241679987e-01,3.355667026767301220e+00 --8.650916100961762112e+00,-3.193397120241679987e-01,3.355667026767301220e+00 --7.024556337972448716e+00,2.915319286152148193e-01,3.200996166719273006e+00 --7.024556337972448716e+00,2.915319286152148193e-01,3.200996166719273006e+00 --7.432936354773739929e+00,-5.227900544676689076e-02,3.687570630054975762e+00 --7.432936354773739929e+00,-5.227900544676689076e-02,3.687570630054975762e+00 --6.233347539127489512e+00,3.697366753846849652e-01,3.826511604600384420e+00 --6.138665837611510412e+00,7.806916821315281751e-01,3.166029227947376512e+00 --5.308804879476014094e+00,9.150887123261576273e-01,4.202310484674056212e+00 --5.240363975663016483e+00,1.897768050020237851e+00,3.604537712003503813e+00 --6.074004235361639914e+00,1.159565431232673305e+00,2.983951572546291509e+00 --6.074004235361639914e+00,1.159565431232673305e+00,2.983951572546291509e+00 --6.074004235361639914e+00,1.159565431232673305e+00,2.983951572546291509e+00 --6.074004235361639914e+00,1.159565431232673305e+00,2.983951572546291509e+00 --6.074004235361639914e+00,1.159565431232673305e+00,2.983951572546291509e+00 --5.270688944670839149e+00,2.020527564820788768e+00,4.272003430334780916e+00 --5.307543065526217241e+00,2.065338701971099589e+00,3.750638646215660899e+00 --5.307543065526217241e+00,2.065338701971099589e+00,3.750638646215660899e+00 --5.703322453689583682e+00,2.306194122577211125e+00,3.642761483609544548e+00 --5.703322453689583682e+00,2.306194122577211125e+00,3.642761483609544548e+00 --5.703322453689583682e+00,2.306194122577211125e+00,3.642761483609544548e+00 --5.703322453689583682e+00,2.306194122577211125e+00,3.642761483609544548e+00 --5.700611624497352814e+00,2.234077554359379825e+00,3.514214413692198669e+00 --5.700611624497352814e+00,2.234077554359379825e+00,3.514214413692198669e+00 --5.371664262443442972e+00,2.093672635305018126e+00,3.694282922108124367e+00 --5.156406580344588875e+00,1.098624155221316068e+00,4.263723110011421014e+00 --5.156406580344588875e+00,1.098624155221316068e+00,4.263723110011421014e+00 --5.156406580344588875e+00,1.098624155221316068e+00,4.263723110011421014e+00 --5.578680631937483980e+00,8.859748393680626499e-01,4.525261459874715619e+00 --5.578680631937483980e+00,8.859748393680626499e-01,4.525261459874715619e+00 --6.465084176374997327e+00,2.650265227629050591e-01,4.119040136413000042e+00 --5.162415161788165285e+00,1.436890318825589041e+00,3.517632715545986777e+00 --5.162415161788165285e+00,1.436890318825589041e+00,3.517632715545986777e+00 --5.162415161788165285e+00,1.436890318825589041e+00,3.517632715545986777e+00 --5.451878316135952751e+00,2.026957601526720332e+00,4.498437427878834605e+00 --4.967634960215795203e+00,1.324757459384071412e+00,3.894307619217001193e+00 --5.095489238724769443e+00,1.788743432201536088e+00,3.706125305161271921e+00 --4.997495528843668211e+00,1.656724813940852359e+00,3.782793350193456305e+00 --4.997495528843668211e+00,1.656724813940852359e+00,3.782793350193456305e+00 --4.997495528843668211e+00,1.656724813940852359e+00,3.782793350193456305e+00 --4.997495528843668211e+00,1.656724813940852359e+00,3.782793350193456305e+00 --4.997495528843668211e+00,1.656724813940852359e+00,3.782793350193456305e+00 --5.027489990459592661e+00,1.199988369400569077e+00,4.108299949889057778e+00 --6.128779417985493971e+00,4.868779389312337669e-01,4.420248705581085957e+00 --6.138036998222125007e+00,5.417779651497636184e-01,3.457696213058670143e+00 --6.138036998222125007e+00,5.417779651497636184e-01,3.457696213058670143e+00 --5.784398776200699643e+00,5.737513399645869372e-01,3.973390543699452326e+00 --5.784398776200699643e+00,5.737513399645869372e-01,3.973390543699452326e+00 --5.930825326855216240e+00,1.350630212250853113e+00,4.991342453718340622e+00 --5.054598461526357944e+00,1.205849641046395249e+00,4.205717998811802083e+00 --5.723677712749409174e+00,1.374907527413392394e+00,4.884463370204152000e+00 --6.340050950555607301e+00,1.361181532786627235e+00,5.181112293940524083e+00 --6.340050950555607301e+00,1.361181532786627235e+00,5.181112293940524083e+00 --5.524018388331078278e+00,1.551306721312426085e+00,4.771771906628218929e+00 --5.524018388331078278e+00,1.551306721312426085e+00,4.771771906628218929e+00 --5.524018388331078278e+00,1.551306721312426085e+00,4.771771906628218929e+00 --5.524018388331078278e+00,1.551306721312426085e+00,4.771771906628218929e+00 --6.088547308125271229e+00,9.429169825436028995e-01,4.923283102286755586e+00 --5.202020625399016218e+00,1.672205167918974666e+00,4.496600314863294479e+00 --5.202020625399016218e+00,1.672205167918974666e+00,4.496600314863294479e+00 --5.203038059085856482e+00,1.335096631694984382e+00,3.499909202855295387e+00 --5.701329561678425861e+00,1.604349336878802879e+00,4.874463632607262120e+00 --5.098123657605491132e+00,1.185647794457924897e+00,3.728794882685385836e+00 --5.226585769129014736e+00,1.958962008959179490e+00,4.300309025243128858e+00 --5.226585769129014736e+00,1.958962008959179490e+00,4.300309025243128858e+00 --4.970542115796336979e+00,1.466252081868373081e+00,3.791076423064731138e+00 --5.506459617078009572e+00,1.074206617223441462e+00,3.368014652509242257e+00 --5.506459617078009572e+00,1.074206617223441462e+00,3.368014652509242257e+00 --5.548120731708969799e+00,7.979508344600784175e-01,4.359852147492521368e+00 --6.072964835165802988e+00,7.987575225484967456e-01,4.809610826363377001e+00 --6.310513453952868446e+00,5.909178181774128458e-01,4.747214097716887515e+00 --4.965099433557634612e+00,1.302296461778864378e+00,3.983918591050899849e+00 --4.931485924945316235e+00,1.571304379727630929e+00,3.974554419670920602e+00 --5.105428556293917453e+00,1.399111509500139183e+00,3.588301158660986534e+00 --5.105428556293917453e+00,1.399111509500139183e+00,3.588301158660986534e+00 --4.990556712556609043e+00,1.292473732876269210e+00,4.147429400702872471e+00 --4.949853439766835450e+00,1.593036750783198841e+00,3.875728241535538299e+00 --4.949853439766835450e+00,1.593036750783198841e+00,3.875728241535538299e+00 --4.949853439766835450e+00,1.593036750783198841e+00,3.875728241535538299e+00 --4.949853439766835450e+00,1.593036750783198841e+00,3.875728241535538299e+00 --4.949853439766835450e+00,1.593036750783198841e+00,3.875728241535538299e+00 --4.949853439766835450e+00,1.593036750783198841e+00,3.875728241535538299e+00 --5.418296108810883638e+00,8.001522963313555392e-01,3.947510308993874784e+00 --5.418296108810883638e+00,8.001522963313555392e-01,3.947510308993874784e+00 --5.439739379622778870e+00,9.986770892245208087e-01,4.512504230163702168e+00 --5.439739379622778870e+00,9.986770892245208087e-01,4.512504230163702168e+00 --5.333907011172977164e+00,8.926526682063865570e-01,3.801802883680248435e+00 --5.333907011172977164e+00,8.926526682063865570e-01,3.801802883680248435e+00 --5.333907011172977164e+00,8.926526682063865570e-01,3.801802883680248435e+00 --5.333907011172977164e+00,8.926526682063865570e-01,3.801802883680248435e+00 --5.333907011172977164e+00,8.926526682063865570e-01,3.801802883680248435e+00 --5.700339700047692304e+00,1.126524976850910242e+00,3.203067145668602844e+00 --5.700339700047692304e+00,1.126524976850910242e+00,3.203067145668602844e+00 --5.700339700047692304e+00,1.126524976850910242e+00,3.203067145668602844e+00 --5.037222440123894529e+00,1.762208490115944048e+00,3.793323888617186057e+00 --5.037222440123894529e+00,1.762208490115944048e+00,3.793323888617186057e+00 --5.037222440123894529e+00,1.762208490115944048e+00,3.793323888617186057e+00 --5.037222440123894529e+00,1.762208490115944048e+00,3.793323888617186057e+00 --5.037222440123894529e+00,1.762208490115944048e+00,3.793323888617186057e+00 --5.037222440123894529e+00,1.762208490115944048e+00,3.793323888617186057e+00 --4.964948055305685060e+00,1.310115875117154882e+00,4.056017333071736175e+00 --4.994553914138553097e+00,1.280240692805626468e+00,4.143197863885293764e+00 --5.098515605691664732e+00,1.503311633958345883e+00,3.584367342532495559e+00 --5.003144862217070887e+00,1.245003249678637403e+00,4.111208752910572528e+00 --5.003144862217070887e+00,1.245003249678637403e+00,4.111208752910572528e+00 --5.003144862217070887e+00,1.245003249678637403e+00,4.111208752910572528e+00 --5.003144862217070887e+00,1.245003249678637403e+00,4.111208752910572528e+00 --5.083767005596971700e+00,1.150077042459510812e+00,4.188591613186796181e+00 --5.083767005596971700e+00,1.150077042459510812e+00,4.188591613186796181e+00 --5.382795157886112847e+00,8.760048924487520150e-01,4.260136754072792797e+00 --5.382795157886112847e+00,8.760048924487520150e-01,4.260136754072792797e+00 --5.382795157886112847e+00,8.760048924487520150e-01,4.260136754072792797e+00 --5.600340278229248625e+00,9.519340118484345137e-01,3.388273085403293194e+00 --5.173492966478963950e+00,1.433236444474039306e+00,3.506764294364444368e+00 --5.173492966478963950e+00,1.433236444474039306e+00,3.506764294364444368e+00 --5.772044258683542317e+00,1.621257517630424694e+00,4.911913778974174249e+00 --5.543808759648619855e+00,2.274847513404939736e+00,4.132913346960006784e+00 --4.981595671179322338e+00,1.350946295123379937e+00,3.816630069468343933e+00 --4.981595671179322338e+00,1.350946295123379937e+00,3.816630069468343933e+00 --4.981595671179322338e+00,1.350946295123379937e+00,3.816630069468343933e+00 --5.699795633413584639e+00,2.200656433245804067e+00,4.532092156629057733e+00 --5.699795633413584639e+00,2.200656433245804067e+00,4.532092156629057733e+00 --6.042670539957283538e+00,1.992758245052352661e+00,4.934936211231289782e+00 --6.042670539957283538e+00,1.992758245052352661e+00,4.934936211231289782e+00 --5.395933077218629137e+00,1.567060854509986667e+00,4.682408811631509238e+00 --5.195490439261359228e+00,1.525612336746414499e+00,3.481270480260611144e+00 --5.195490439261359228e+00,1.525612336746414499e+00,3.481270480260611144e+00 --5.352250016065244864e+00,1.210747472541652936e+00,3.414484109006842072e+00 --5.663122570648428500e+00,1.740723433447922464e+00,3.175730222306567097e+00 --5.663122570648428500e+00,1.740723433447922464e+00,3.175730222306567097e+00 --5.663122570648428500e+00,1.740723433447922464e+00,3.175730222306567097e+00 --4.975730901049600696e+00,1.723490778564202408e+00,3.994648352807190328e+00 --5.647996627197852781e+00,1.036372619579692511e+00,3.287755557056592171e+00 --4.996280409008754475e+00,1.360118165747262742e+00,3.774258225761926600e+00 --4.987998180336012943e+00,1.330222579506010083e+00,4.182810489326321601e+00 --5.666924432880302120e+00,7.259883300290354002e-01,3.623069986853832081e+00 --5.666924432880302120e+00,7.259883300290354002e-01,3.623069986853832081e+00 --6.327792865998375760e+00,1.008582506088280706e+00,2.922712860998883500e+00 --6.327792865998375760e+00,1.008582506088280706e+00,2.922712860998883500e+00 --6.327792865998375760e+00,1.008582506088280706e+00,2.922712860998883500e+00 --6.327792865998375760e+00,1.008582506088280706e+00,2.922712860998883500e+00 --5.532917493308636914e+00,1.917352787432651695e+00,3.341987833461916413e+00 --5.532917493308636914e+00,1.917352787432651695e+00,3.341987833461916413e+00 --5.162529212266292689e+00,1.451511420940341246e+00,3.515826542292560752e+00 --5.162529212266292689e+00,1.451511420940341246e+00,3.515826542292560752e+00 --5.162529212266292689e+00,1.451511420940341246e+00,3.515826542292560752e+00 --5.043022742013408610e+00,1.615185464975907870e+00,4.322491732999470315e+00 --5.043022742013408610e+00,1.615185464975907870e+00,4.322491732999470315e+00 --8.679602220705167070e+00,1.261278970183019377e+00,2.077277878160862290e+00 --7.077101685484391780e+00,1.623420969064764741e+00,2.538454647620945082e+00 --7.077101685484391780e+00,1.623420969064764741e+00,2.538454647620945082e+00 --8.490170067617667016e+00,1.284783052105868961e+00,2.124340755857260898e+00 --8.490170067617667016e+00,1.284783052105868961e+00,2.124340755857260898e+00 --8.462545577271431085e+00,8.043261887311177194e-01,2.252765215328126569e+00 --6.636846343654427827e+00,1.382747170435667750e+00,2.697178452436829410e+00 --6.636846343654427827e+00,1.382747170435667750e+00,2.697178452436829410e+00 --6.636846343654427827e+00,1.382747170435667750e+00,2.697178452436829410e+00 --6.636846343654427827e+00,1.382747170435667750e+00,2.697178452436829410e+00 --5.261032052938334758e+00,2.029421172338284229e+00,3.765498097236715580e+00 --4.964145078507042008e+00,1.616201384114595241e+00,4.157759893566786324e+00 --4.964145078507042008e+00,1.616201384114595241e+00,4.157759893566786324e+00 --6.903447326277490248e+00,1.086889455525645420e+00,5.344259227791612332e+00 --5.705924560610592167e+00,1.282075993959939986e+00,4.855967029378675193e+00 --5.866022123701752022e+00,2.354572571747935328e+00,4.458228884400778469e+00 --5.182585111019769819e+00,1.582512547974503692e+00,4.500022657114489455e+00 --5.182585111019769819e+00,1.582512547974503692e+00,4.500022657114489455e+00 --5.182585111019769819e+00,1.582512547974503692e+00,4.500022657114489455e+00 --5.182585111019769819e+00,1.582512547974503692e+00,4.500022657114489455e+00 --5.182585111019769819e+00,1.582512547974503692e+00,4.500022657114489455e+00 --5.169637931244879248e+00,1.845785850029524111e+00,4.352584662663519843e+00 --5.167026499612024537e+00,1.834547610323175704e+00,3.640347023896107981e+00 --5.308578053136917774e+00,2.034348184023335726e+00,3.688077031065055245e+00 --5.540297282660659128e+00,1.506865634684262822e+00,4.783897960771904323e+00 --5.540297282660659128e+00,1.506865634684262822e+00,4.783897960771904323e+00 --5.540297282660659128e+00,1.506865634684262822e+00,4.783897960771904323e+00 --5.540297282660659128e+00,1.506865634684262822e+00,4.783897960771904323e+00 --5.944062013047331838e+00,8.307288892695896543e-01,4.755237751023029702e+00 --5.781036066622452729e+00,1.162041359805679797e+00,4.860851840517152134e+00 --5.089787351313106889e+00,1.875624839000229915e+00,4.151456920675377305e+00 --5.141304915294762523e+00,1.567301768719372435e+00,3.540629502032057285e+00 --5.681615067103315653e+00,1.310167813068970677e+00,3.151575180060361969e+00 --5.681615067103315653e+00,1.310167813068970677e+00,3.151575180060361969e+00 --5.681615067103315653e+00,1.310167813068970677e+00,3.151575180060361969e+00 --7.151841427506676396e+00,1.169597285825312749e+00,2.545035622032626232e+00 --7.151841427506676396e+00,1.169597285825312749e+00,2.545035622032626232e+00 --6.724460223655665203e+00,1.856949007316512690e+00,2.707214829520105059e+00 --6.255796363728983955e+00,2.495890794241421240e+00,3.418412726363889043e+00 --6.255796363728983955e+00,2.495890794241421240e+00,3.418412726363889043e+00 --6.075823710410062084e+00,2.571282325736778951e+00,3.950768341939668638e+00 --6.075823710410062084e+00,2.571282325736778951e+00,3.950768341939668638e+00 --6.075823710410062084e+00,2.571282325736778951e+00,3.950768341939668638e+00 --6.075823710410062084e+00,2.571282325736778951e+00,3.950768341939668638e+00 --5.712439502727352902e+00,2.139783421235753824e+00,3.385701584064767289e+00 --6.196643716270611613e+00,2.604833214115332751e+00,4.224127536102782798e+00 --5.499567013999531184e+00,2.040202913414284058e+00,3.468969216033985781e+00 --5.418751515159370591e+00,2.198902383759363310e+00,3.932673628375205510e+00 --5.418751515159370591e+00,2.198902383759363310e+00,3.932673628375205510e+00 --5.418751515159370591e+00,2.198902383759363310e+00,3.932673628375205510e+00 --6.004723182392313952e+00,2.499177461959751767e+00,3.716074923465199742e+00 --6.376306017538670545e+00,2.086795805702819528e+00,5.051771157205577012e+00 --6.376306017538670545e+00,2.086795805702819528e+00,5.051771157205577012e+00 --6.612589159138868133e+00,2.371782335469605041e+00,4.962720408988683829e+00 --6.475865321295890098e+00,1.984982680642451314e+00,5.146692194075664695e+00 --5.052216295262148549e+00,1.733021733631626038e+00,4.268631781624531385e+00 --5.328467074270331061e+00,2.103467079422161490e+00,3.803682844597505497e+00 --5.374174251004358638e+00,1.712379264562816639e+00,3.364929006984711091e+00 --5.270086547267485599e+00,1.853993264558678078e+00,3.532003009522620474e+00 --6.093490449519186392e+00,2.069075920679031899e+00,3.081365734797679501e+00 --6.307943171207744726e+00,1.380812784373008029e+00,2.830391755321407743e+00 --6.307943171207744726e+00,1.380812784373008029e+00,2.830391755321407743e+00 --6.307943171207744726e+00,1.380812784373008029e+00,2.830391755321407743e+00 --8.629554079653896537e+00,2.311595960653258786e-01,2.552987914294389871e+00 --8.629554079653896537e+00,2.311595960653258786e-01,2.552987914294389871e+00 --7.127366115774863786e+00,7.391556435188937346e-01,2.726136644625089644e+00 --6.657842094686015066e+00,2.365728579053058001e-01,3.631435462251510593e+00 --5.647616571746640446e+00,7.166334225443256045e-01,3.671063464702790213e+00 --5.647616571746640446e+00,7.166334225443256045e-01,3.671063464702790213e+00 --5.196109931536302184e+00,9.907310118622587591e-01,3.895114841665883176e+00 --5.363786801495978196e+00,9.138208265190124191e-01,3.692710811686395811e+00 --5.294497760235371331e+00,8.947120358180515876e-01,4.048683753277174446e+00 --5.031406025493101453e+00,1.209818395100796806e+00,3.853553665622750035e+00 --5.031406025493101453e+00,1.209818395100796806e+00,3.853553665622750035e+00 --5.031406025493101453e+00,1.209818395100796806e+00,3.853553665622750035e+00 --5.031406025493101453e+00,1.209818395100796806e+00,3.853553665622750035e+00 --4.970075286896230793e+00,1.320402164449769211e+00,4.109844305920756113e+00 --5.142524435503573521e+00,1.168548306145677618e+00,3.673028935032496722e+00 --6.312638695972963454e+00,1.502337397096053850e+00,2.822341688039740504e+00 --6.752828504552079281e+00,2.074262685793819116e+00,2.776359227780367700e+00 --6.752828504552079281e+00,2.074262685793819116e+00,2.776359227780367700e+00 --6.393795876694615465e+00,1.588231722652081235e+00,2.791589098446322748e+00 --5.577179646797705281e+00,1.725369841279710714e+00,3.224994226717908585e+00 --5.552072993838217840e+00,7.712629193727003063e-01,3.691355984444331106e+00 --4.966857622513932924e+00,1.305030092424363408e+00,4.055589790746051193e+00 --6.842769462465038366e+00,2.102794512607728539e-01,3.496376891111880436e+00 --5.620758554765819426e+00,7.873067287019084315e-01,3.567480956496071443e+00 --5.913330047011374546e+00,5.066556949494267492e-01,4.029034562443351675e+00 --5.913330047011374546e+00,5.066556949494267492e-01,4.029034562443351675e+00 --5.913330047011374546e+00,5.066556949494267492e-01,4.029034562443351675e+00 --6.347055949587826262e+00,4.143903056097197890e-01,4.492700119966474226e+00 --5.580773467581340519e+00,7.830655345847653548e-01,4.375532032005821748e+00 --5.026390191783076666e+00,1.815170400772628589e+00,3.963893526325511285e+00 --5.026390191783076666e+00,1.815170400772628589e+00,3.963893526325511285e+00 --5.450583671173983014e+00,7.755689202706115282e-01,3.994601011446090144e+00 --4.941285217210335645e+00,1.406224494060890784e+00,4.082080685167150058e+00 --4.941285217210335645e+00,1.406224494060890784e+00,4.082080685167150058e+00 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+-4.995641384767985471e+00,1.305980915696909106e+00,3.820434282571853135e+00 +-4.995641384767985471e+00,1.305980915696909106e+00,3.820434282571853135e+00 diff --git a/Examples/Example07/mcmc_log_file.txt b/Examples/Example07/mcmc_log_file.txt index 6ac72223..c651ac79 100644 --- a/Examples/Example07/mcmc_log_file.txt +++ b/Examples/Example07/mcmc_log_file.txt @@ -1,11 +1,11 @@ -MAP_logP:[-4.92828011] +MAP_logP:[-4.92828006] self.map_index:1196 -self.map_parameter_set:[1.4727147 3.95779236] -self.mu_AP_parameter_set:[1.46310408 3.94220832] -self.stdap_parameter_set:[0.66791756 0.70516203] -self.info_gain:19.176120481200073 -evidence:1.9764225761475367e-05 +self.map_parameter_set:[1.4727146 3.95779291] +self.mu_AP_parameter_set:[1.46310406 3.94220875] +self.stdap_parameter_set:[0.66791755 0.70516203] +self.info_gain:13.523424011175589 +evidence:1.976422455703095e-05 posterior_cov_matrix: -[[0.44634878 0.02351822] - [0.02351822 0.49751534]] +[[0.44634877 0.02351819] + [0.02351819 0.49751533]] Warning: The MAP parameter set and mu_AP parameter set differ by more than 10% of prior variance in at least one parameter. This may mean that you need to increase your mcmc_length, increase or decrease your mcmc_relative_step_length, or change what is used for the model response. There is no general method for knowing the right value for mcmc_relative_step_length since it depends on the sharpness and smoothness of the response. See for example https://www.sciencedirect.com/science/article/pii/S0039602816300632 \ No newline at end of file diff --git a/Examples/Example07/scatter_matrix_posterior.png b/Examples/Example07/scatter_matrix_posterior.png index 5018be6a..d4916f72 100644 Binary files a/Examples/Example07/scatter_matrix_posterior.png and b/Examples/Example07/scatter_matrix_posterior.png differ diff --git a/Examples/Example13doeFunctionExample/Info_gain_Meshgrid_modulation_0_manual.png b/Examples/Example13doeFunctionExample/Info_gain_Meshgrid_modulation_0_manual.png index 524237b5..63c51a81 100644 Binary files a/Examples/Example13doeFunctionExample/Info_gain_Meshgrid_modulation_0_manual.png and b/Examples/Example13doeFunctionExample/Info_gain_Meshgrid_modulation_0_manual.png differ diff --git a/Examples/Example13doeFunctionExample/calculated_resultObj1.p b/Examples/Example13doeFunctionExample/calculated_resultObj1.p index 42378e03..e1ec8254 100644 Binary files a/Examples/Example13doeFunctionExample/calculated_resultObj1.p and b/Examples/Example13doeFunctionExample/calculated_resultObj1.p differ diff --git a/Examples/Example13doeFunctionExample/calculated_resultObj2.p b/Examples/Example13doeFunctionExample/calculated_resultObj2.p index 42378e03..e1ec8254 100644 Binary files a/Examples/Example13doeFunctionExample/calculated_resultObj2.p and b/Examples/Example13doeFunctionExample/calculated_resultObj2.p differ diff --git a/Examples/Example13doeFunctionExample/calculated_resultStr1.txt b/Examples/Example13doeFunctionExample/calculated_resultStr1.txt index 0b256d01..0152f00b 100644 --- a/Examples/Example13doeFunctionExample/calculated_resultStr1.txt +++ b/Examples/Example13doeFunctionExample/calculated_resultStr1.txt @@ -1,25 +1,25 @@ -[[[3.00000000e+02 3.00000000e-01 3.12827993e+00] +[[[3.00000000e+02 3.00000000e-01 3.12827995e+00] [4.00000000e+02 3.00000000e-01 2.93007515e+00] [5.00000000e+02 3.00000000e-01 2.72748566e+00] [6.00000000e+02 3.00000000e-01 2.63595241e+00] [7.00000000e+02 3.00000000e-01 2.59326612e+00] - [3.00000000e+02 4.00000000e-01 3.11895132e+00] - [4.00000000e+02 4.00000000e-01 2.91509330e+00] - [5.00000000e+02 4.00000000e-01 2.71614601e+00] - [6.00000000e+02 4.00000000e-01 2.61544223e+00] + [3.00000000e+02 4.00000000e-01 3.11895134e+00] + [4.00000000e+02 4.00000000e-01 2.91509331e+00] + [5.00000000e+02 4.00000000e-01 2.71614602e+00] + [6.00000000e+02 4.00000000e-01 2.61544224e+00] [7.00000000e+02 4.00000000e-01 2.57702074e+00] - [3.00000000e+02 5.00000000e-01 3.11076496e+00] - [4.00000000e+02 5.00000000e-01 2.70891798e+00] + [3.00000000e+02 5.00000000e-01 3.11076497e+00] + [4.00000000e+02 5.00000000e-01 2.70891799e+00] [5.00000000e+02 5.00000000e-01 2.72400496e+00] - [6.00000000e+02 5.00000000e-01 2.59633836e+00] + [6.00000000e+02 5.00000000e-01 2.59633837e+00] [7.00000000e+02 5.00000000e-01 2.52776563e+00] - [3.00000000e+02 6.00000000e-01 3.10336823e+00] - [4.00000000e+02 6.00000000e-01 2.69731160e+00] + [3.00000000e+02 6.00000000e-01 3.10336824e+00] + [4.00000000e+02 6.00000000e-01 2.69731161e+00] [5.00000000e+02 6.00000000e-01 2.65885345e+00] [6.00000000e+02 6.00000000e-01 2.58418834e+00] [7.00000000e+02 6.00000000e-01 2.51713371e+00] - [3.00000000e+02 7.00000000e-01 3.09655744e+00] + [3.00000000e+02 7.00000000e-01 3.09655745e+00] [4.00000000e+02 7.00000000e-01 2.69044034e+00] [5.00000000e+02 7.00000000e-01 2.57498019e+00] [6.00000000e+02 7.00000000e-01 2.52605850e+00] - [7.00000000e+02 7.00000000e-01 2.50662449e+00]]] \ No newline at end of file + [7.00000000e+02 7.00000000e-01 2.50662448e+00]]] \ No newline at end of file diff --git a/Examples/Example13doeFunctionExample/calculated_resultStr2.txt b/Examples/Example13doeFunctionExample/calculated_resultStr2.txt index 0b256d01..0152f00b 100644 --- a/Examples/Example13doeFunctionExample/calculated_resultStr2.txt +++ b/Examples/Example13doeFunctionExample/calculated_resultStr2.txt @@ -1,25 +1,25 @@ -[[[3.00000000e+02 3.00000000e-01 3.12827993e+00] +[[[3.00000000e+02 3.00000000e-01 3.12827995e+00] [4.00000000e+02 3.00000000e-01 2.93007515e+00] [5.00000000e+02 3.00000000e-01 2.72748566e+00] [6.00000000e+02 3.00000000e-01 2.63595241e+00] [7.00000000e+02 3.00000000e-01 2.59326612e+00] - [3.00000000e+02 4.00000000e-01 3.11895132e+00] - [4.00000000e+02 4.00000000e-01 2.91509330e+00] - [5.00000000e+02 4.00000000e-01 2.71614601e+00] - [6.00000000e+02 4.00000000e-01 2.61544223e+00] + [3.00000000e+02 4.00000000e-01 3.11895134e+00] + [4.00000000e+02 4.00000000e-01 2.91509331e+00] + [5.00000000e+02 4.00000000e-01 2.71614602e+00] + [6.00000000e+02 4.00000000e-01 2.61544224e+00] [7.00000000e+02 4.00000000e-01 2.57702074e+00] - [3.00000000e+02 5.00000000e-01 3.11076496e+00] - [4.00000000e+02 5.00000000e-01 2.70891798e+00] + [3.00000000e+02 5.00000000e-01 3.11076497e+00] + [4.00000000e+02 5.00000000e-01 2.70891799e+00] [5.00000000e+02 5.00000000e-01 2.72400496e+00] - [6.00000000e+02 5.00000000e-01 2.59633836e+00] + [6.00000000e+02 5.00000000e-01 2.59633837e+00] [7.00000000e+02 5.00000000e-01 2.52776563e+00] - [3.00000000e+02 6.00000000e-01 3.10336823e+00] - [4.00000000e+02 6.00000000e-01 2.69731160e+00] + [3.00000000e+02 6.00000000e-01 3.10336824e+00] + [4.00000000e+02 6.00000000e-01 2.69731161e+00] [5.00000000e+02 6.00000000e-01 2.65885345e+00] [6.00000000e+02 6.00000000e-01 2.58418834e+00] [7.00000000e+02 6.00000000e-01 2.51713371e+00] - [3.00000000e+02 7.00000000e-01 3.09655744e+00] + [3.00000000e+02 7.00000000e-01 3.09655745e+00] [4.00000000e+02 7.00000000e-01 2.69044034e+00] [5.00000000e+02 7.00000000e-01 2.57498019e+00] [6.00000000e+02 7.00000000e-01 2.52605850e+00] - [7.00000000e+02 7.00000000e-01 2.50662449e+00]]] \ No newline at end of file + [7.00000000e+02 7.00000000e-01 2.50662448e+00]]] \ No newline at end of file diff --git a/Examples/Example24/mcmc_log_file.txt b/Examples/Example24/mcmc_log_file.txt index dfdb7a75..9798cc9b 100644 --- a/Examples/Example24/mcmc_log_file.txt +++ b/Examples/Example24/mcmc_log_file.txt @@ -3,7 +3,7 @@ self.map_index:1175 self.map_parameter_set:[1.15763372e+01 1.31694180e+05] self.mu_AP_parameter_set:[1.16042481e+01 1.31646291e+05] self.stdap_parameter_set:[9.11484052e-01 1.00766352e+04] -self.info_gain:1.7157813446368657 +self.info_gain:1.5855636053685138 evidence:3.0665615155128266e-15 posterior_cov_matrix: [[8.30895499e-01 7.44773417e+03] diff --git a/Examples/Example25/0-ConsolidatedPlots.docx b/Examples/Example25/0-ConsolidatedPlots.docx new file mode 100644 index 00000000..0a3ec256 Binary files /dev/null and b/Examples/Example25/0-ConsolidatedPlots.docx differ diff --git a/Examples/Example25/Histogram_sampling_Ea.png b/Examples/Example25/Histogram_sampling_Ea.png new file mode 100644 index 00000000..b9312085 Binary files /dev/null and b/Examples/Example25/Histogram_sampling_Ea.png differ diff --git a/Examples/Example25/Histogram_sampling_logA.png b/Examples/Example25/Histogram_sampling_logA.png new file mode 100644 index 00000000..a5c0a57c Binary files /dev/null and b/Examples/Example25/Histogram_sampling_logA.png differ diff --git a/Examples/Example25/PosteriorContourPlotState2.png b/Examples/Example25/PosteriorContourPlotState2.png new file mode 100644 index 00000000..62cc9304 Binary files /dev/null and b/Examples/Example25/PosteriorContourPlotState2.png differ diff --git a/Examples/Example25/PosteriorContourPlots.png b/Examples/Example25/PosteriorContourPlots.png new file mode 100644 index 00000000..f40afc07 Binary files /dev/null and b/Examples/Example25/PosteriorContourPlots.png differ diff --git a/Examples/Example25/RedheadApproximation.py b/Examples/Example25/RedheadApproximation.py new file mode 100644 index 00000000..c3b9bf25 --- /dev/null +++ b/Examples/Example25/RedheadApproximation.py @@ -0,0 +1,59 @@ +# -*- coding: utf-8 -*- +""" +Created on Fri Apr 24 16:21:06 2020 + +@author: fvs +""" + +import numpy as np +#The Ea will be returned in J/mol. T in K. +#k0 is the pre-exponential in s-1. +#Theta0 is the initial relative coverage +#beta_H is the heating rate in Kelvin per second. +#n is the reaction order. +#The variable "find" must be filled with either the string "Ea" or the string "Tp" +#Whether solving for Tp or Ea, a guess must be provided for the other. However, defaults are included so a guess does not actually need to be provided. +def redheadPeakMaximum_find_Ea_or_Tp(find="", k0=1E13, Theta0=1.0, beta_H=2.0, n=1, Ea=200000, Tp=500, Thetap=0.0): + if find == "": + print("A string containing either 'Ea' or 'Tp' must be provided as the first argument.") + sys.exit() + R_constant = 8.314 + #We'll take Masel's Equation 7.59 from his 1996 book and use the left-hand side and right-hand side. + if n==2: + Thetap = 0.5*Theta0 + elif n==1: + Thetap = 1.0*Theta0 #does not actually matter for n=1. + else: + print("only 1st order and 2nd order are currently supported, since Thetap will need to be solved for other cases.") + sys.exit() + def caseOfEaNotKnown(Ea): #Now in this little function Ea will be replaced by what's passed in. + leftHandSide = Ea/(R_constant*Tp) + rightHandSide = np.log( (Thetap**(n-1)) * k0*Tp*n/beta_H)-np.log(leftHandSide) #in numpy, "log" is the natural log. + difference = leftHandSide-rightHandSide + return difference #this is only the return of the little function, not of the outer function. + def caseOfTpNotKnown(Tp): #Now in this little function Tp will be replaced by what's passed in. + leftHandSide = Ea/(R_constant*Tp) + rightHandSide = np.log( (Thetap**(n-1)) * k0*Tp*n/beta_H)-np.log(leftHandSide) #in numpy, "log" is the natural log. + difference = leftHandSide-rightHandSide + return difference #this is only the return of the little function, not of the outer function. + + import scipy.optimize + if find=="Ea": + solvedValue = scipy.optimize.root(caseOfEaNotKnown, Ea, method="lm") + if float(solvedValue['x']) == float(Ea): + print("WARNING: THE SOLVER FAILED IN redheadPeakMaximum_find_Ea_or_Tp. A bitter initial guess may be required.") + return None + if find=="Tp": + solvedValue = scipy.optimize.root(caseOfTpNotKnown, Tp, method="lm") + if float(solvedValue['x']) == float(Tp): + print("WARNING: THE SOLVER FAILED IN redheadPeakMaximum_find_Ea_or_Tp. A better initial guess may be required.") + return None + return float(solvedValue['x']) + + +# Ea_solved = redheadPeakMaximum_find_Ea_or_Tp("Ea", n=2, Theta0=0.25) +# print(Ea_solved) + + +# Tp_solved = redheadPeakMaximum_find_Ea_or_Tp("Tp", beta_H=10.0) +# print(Tp_solved) \ No newline at end of file diff --git a/Examples/Example25/mcmc_logP_and_parameter_samples.csv b/Examples/Example25/mcmc_logP_and_parameter_samples.csv new file mode 100644 index 00000000..93b2b19e --- /dev/null +++ b/Examples/Example25/mcmc_logP_and_parameter_samples.csv @@ -0,0 +1,9000 @@ +-1.568585389430627686e+01,1.440014329622082201e+01,5.866624731121465447e+04 +-1.568585389430627686e+01,1.440014329622082201e+01,5.866624731121465447e+04 +-1.536936452215239157e+01,1.540895962405313036e+01,5.226410578339803760e+04 +-1.536936452215239157e+01,1.540895962405313036e+01,5.226410578339803760e+04 +-1.536936452215239157e+01,1.540895962405313036e+01,5.226410578339803760e+04 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b/Examples/Example25/mcmc_log_file.txt new file mode 100644 index 00000000..ff41c517 --- /dev/null +++ b/Examples/Example25/mcmc_log_file.txt @@ -0,0 +1,11 @@ +MAP_logP:[-15.18243222] +self.map_index:6577 +self.map_parameter_set:[1.86978189e+01 6.54953145e+04] +self.mu_AP_parameter_set:[1.57755397e+01 5.68238158e+04] +self.stdap_parameter_set:[2.16611879e+00 1.06781853e+04] +self.info_gain:1.4091874876570274 +evidence:2.9652948309744e-14 +posterior_cov_matrix: +[[4.69259201e+00 1.51682838e+04] + [1.51682838e+04 1.14036311e+08]] +Warning: The MAP parameter set and mu_AP parameter set differ by more than 10% of prior variance in at least one parameter. This may mean that you need to increase your mcmc_length, increase or decrease your mcmc_relative_step_length, or change what is used for the model response. There is no general method for knowing the right value for mcmc_relative_step_length since it depends on the sharpness and smoothness of the response. See for example https://www.sciencedirect.com/science/article/pii/S0039602816300632 \ No newline at end of file diff --git a/Examples/Example25/runfile_Example25_Example14_State2_Original_mcmc.py b/Examples/Example25/runfile_Example25_Example14_State2_Original_mcmc.py new file mode 100644 index 00000000..f72642c8 --- /dev/null +++ b/Examples/Example25/runfile_Example25_Example14_State2_Original_mcmc.py @@ -0,0 +1,47 @@ +import sys; sys.path.append('../../'); import CheKiPEUQ as CKPQ +import CheKiPEUQ.UserInput as UserInput + +if __name__ == "__main__": + import simulationFunctionExample14Tp #This will provide the "simulation" function. + import numpy as np + + UserInput.responses['responses_abscissa'] = np.array([2]) # + UserInput.responses['responses_observed'] = np.array([[180]]) # + UserInput.responses['responses_observed_uncertainties'] = np.array([[10]]) + + UserInput.model['parameterNamesAndMathTypeExpressionsDict'] = {'logA':r'log(A / $s^{-1}$)','Ea':r'Ea (J $mol^{-1}$)'}#,'Theta0':'Theta0', 'beta_H':'beta_H', 'n':'n'} + UserInput.model['InputParameterPriorValues'] = [13, (65.0826*1000)] + UserInput.model['InputParametersPriorValuesUncertainties'] = np.array([2, 23.18614*1000]) #If user wants to use a prior with covariance, then this must be a 2D array/ list. To assume no covariance, a 1D + #UserInput.model['InputParameterInitialGuess'] = [13, 65000] #This is where the mcmc chain will start. + UserInput.model['responses_simulation_uncertainties'] = np.array([[25]]) + + UserInput.model['simulateByInputParametersOnlyFunction'] = simulationFunctionExample14Tp.getTpFromKineticParametersAndInitialCoverageWrapper #This must simulate with *only* the parameters listed above, and no other arguments. + + + #UserInput.simulated_response_plot_settings['figure_name'] = 'Posterior_Example_two_response' #This creates the filename, also. + + + + UserInput.parameter_estimation_settings['verbose'] = False + UserInput.parameter_estimation_settings['exportAllSimulatedOutputs'] = False + UserInput.parameter_estimation_settings['checkPointFrequency'] = 1000 + UserInput.parameter_estimation_settings['exportLog'] = True + UserInput.parameter_estimation_settings['mcmc'] = True + UserInput.parameter_estimation_settings['mcmc_mode'] = 'unbiased' + UserInput.parameter_estimation_settings['mcmc_random_seed'] = 0 #Normally set to None so that mcmc is set to be random. To get the same results repeatedly, such as for testing purposes, set the random seed to 0 or another integer for testing purposes. + UserInput.parameter_estimation_settings['mcmc_burn_in'] = 1000 + UserInput.parameter_estimation_settings['mcmc_length'] = 10000 + UserInput.parameter_estimation_settings['mcmc_relative_step_length'] = 1.0 + UserInput.parameter_estimation_settings['mcmc_modulate_accept_probability'] = 0 #Default value of 0. Changing this value sharpens or flattens the posterior. A value greater than 1 flattens the posterior by accepting low values more often. It can be useful when greater sampling is more important than accuracy. One way of using this feature is to try with a value of 0, then with the value equal to the number of priors for comparison, and then to gradually decrease this number as low as is useful (to minimize distortion of the result). A downside of changing changing this variable to greater than 1 is that it slows the the ascent to the maximum of the prior, so there is a balance in using it. In contrast, numbers increasingly less than one (such as 0.90 or 0.10) will speed up the ascent to the maximum of the posterior, but will also result in fewer points being retained. + UserInput.parameter_estimation_settings['scaling_uncertainties_type'] = "off" + UserInput.parameter_pairs_for_contour_plots = [[0, 1]] + #UserInput.contour_settings_custom['contours_normalized'] = True + + #After making the UserInput, now we make a 'parameter_estimation' object from it. + PE_object = CKPQ.parameter_estimation(UserInput) + + #Now we do parameter estimation. + PE_object.doMetropolisHastings() + #[map_parameter_set, muap_parameter_set, stdap_parameter_set, evidence, info_gain, samples, samples_simulatedOutputs, logP] = PE_object.doMetropolisHastings() + + PE_object.createAllPlots() #This function calls each of the below functions. \ No newline at end of file diff --git a/Examples/Example25/runfile_Example25_Example14_State2_Uniform_Par1_mcmc.py b/Examples/Example25/runfile_Example25_Example14_State2_Uniform_Par1_mcmc.py new file mode 100644 index 00000000..13d3f0e2 --- /dev/null +++ b/Examples/Example25/runfile_Example25_Example14_State2_Uniform_Par1_mcmc.py @@ -0,0 +1,51 @@ +import sys; sys.path.append('../../'); import CheKiPEUQ as CKPQ +import CheKiPEUQ.UserInput as UserInput + +if __name__ == "__main__": + import simulationFunctionExample14Tp #This will provide the "simulation" function. + import numpy as np + + UserInput.responses['responses_abscissa'] = np.array([2]) # + UserInput.responses['responses_observed'] = np.array([[180]]) # + UserInput.responses['responses_observed_uncertainties'] = np.array([[10]]) + + UserInput.model['parameterNamesAndMathTypeExpressionsDict'] = {'logA':r'log(A / $s^{-1}$)','Ea':r'Ea (J $mol^{-1}$)'}#,'Theta0':'Theta0', 'beta_H':'beta_H', 'n':'n'} + UserInput.model['InputParameterPriorValues'] = [13, (65.0826*1000)] + UserInput.model['InputParametersPriorValuesUncertainties'] = np.array([-1, 23.18614*1000]) #If user wants to use a prior with covariance, then this must be a 2D array/ list. To assume no covariance, a 1D + #UserInput.model['InputParameterInitialGuess'] = [13, 65000] #This is where the mcmc chain will start. + + UserInput.model['InputParameterPriorValues_upperBounds'] = [19, None] + UserInput.model['InputParameterPriorValues_lowerBounds'] = [11, None] + + UserInput.model['responses_simulation_uncertainties'] = np.array([[25]]) + + UserInput.model['simulateByInputParametersOnlyFunction'] = simulationFunctionExample14Tp.getTpFromKineticParametersAndInitialCoverageWrapper #This must simulate with *only* the parameters listed above, and no other arguments. + + + #UserInput.simulated_response_plot_settings['figure_name'] = 'Posterior_Example_two_response' #This creates the filename, also. + + + + UserInput.parameter_estimation_settings['verbose'] = False + UserInput.parameter_estimation_settings['exportAllSimulatedOutputs'] = False + UserInput.parameter_estimation_settings['checkPointFrequency'] = 1000 + UserInput.parameter_estimation_settings['exportLog'] = True + UserInput.parameter_estimation_settings['mcmc'] = True + UserInput.parameter_estimation_settings['mcmc_mode'] = 'unbiased' + UserInput.parameter_estimation_settings['mcmc_random_seed'] = 0 #Normally set to None so that mcmc is set to be random. To get the same results repeatedly, such as for testing purposes, set the random seed to 0 or another integer for testing purposes. + UserInput.parameter_estimation_settings['mcmc_burn_in'] = 1000 + UserInput.parameter_estimation_settings['mcmc_length'] = 10000 + UserInput.parameter_estimation_settings['mcmc_relative_step_length'] = 1.0 + UserInput.parameter_estimation_settings['mcmc_modulate_accept_probability'] = 0 #Default value of 0. Changing this value sharpens or flattens the posterior. A value greater than 1 flattens the posterior by accepting low values more often. It can be useful when greater sampling is more important than accuracy. One way of using this feature is to try with a value of 0, then with the value equal to the number of priors for comparison, and then to gradually decrease this number as low as is useful (to minimize distortion of the result). A downside of changing changing this variable to greater than 1 is that it slows the the ascent to the maximum of the prior, so there is a balance in using it. In contrast, numbers increasingly less than one (such as 0.90 or 0.10) will speed up the ascent to the maximum of the posterior, but will also result in fewer points being retained. + UserInput.parameter_estimation_settings['scaling_uncertainties_type'] = "off" + UserInput.parameter_pairs_for_contour_plots = [[0, 1]] + #UserInput.contour_settings_custom['contours_normalized'] = True + + #After making the UserInput, now we make a 'parameter_estimation' object from it. + PE_object = CKPQ.parameter_estimation(UserInput) + + #Now we do parameter estimation. + PE_object.doMetropolisHastings() + #[map_parameter_set, muap_parameter_set, stdap_parameter_set, evidence, info_gain, samples, samples_simulatedOutputs, logP] = PE_object.doMetropolisHastings() + + PE_object.createAllPlots() #This function calls each of the below functions. \ No newline at end of file diff --git a/Examples/Example25/scatter_matrix_posterior.png b/Examples/Example25/scatter_matrix_posterior.png new file mode 100644 index 00000000..74653c92 Binary files /dev/null and b/Examples/Example25/scatter_matrix_posterior.png differ diff --git a/Examples/Example25/simulationFunctionExample14Tp.py b/Examples/Example25/simulationFunctionExample14Tp.py new file mode 100644 index 00000000..0840f933 --- /dev/null +++ b/Examples/Example25/simulationFunctionExample14Tp.py @@ -0,0 +1,12 @@ +from RedheadApproximation import redheadPeakMaximum_find_Ea_or_Tp + +def getTpFromKineticParametersAndInitialCoverageWrapper(discreteParameterVector): + Tp = getTpFromKineticParametersAndInitialCoverage(*discreteParameterVector) + return Tp + +def getTpFromKineticParametersAndInitialCoverage(log10A, Ea, Theta0=1.0, beta_H=2, n=1): #Thetap is only needed for second order. + k0 = 10**log10A#k0 is the same as "A" + #In addition to changing log10A by "10**", this wrapper is also necessary to specify Tp seeking and to switch to named arguments. + #Need to have a reasonable initial guess for Tp, otherwise the solver fails. + Tp = redheadPeakMaximum_find_Ea_or_Tp(find="Tp", k0=k0, Ea=Ea, Theta0=Theta0, beta_H=beta_H, n=n, Tp=200) + return Tp \ No newline at end of file diff --git a/Examples/ExamplesAndTutorialAndGettingStarted.rtf b/Examples/ExamplesAndTutorialAndGettingStarted.rtf index ed847764..a409038a 100644 --- a/Examples/ExamplesAndTutorialAndGettingStarted.rtf +++ b/Examples/ExamplesAndTutorialAndGettingStarted.rtf @@ -1,8 +1,8 @@ {\rtf1\adeflang1025\ansi\ansicpg1252\uc1\adeff0\deff0\stshfdbch0\stshfloch31506\stshfhich31506\stshfbi31506\deflang1033\deflangfe1033\themelang1033\themelangfe0\themelangcs0{\fonttbl{\f0\fbidi \froman\fcharset0\fprq2{\*\panose 02020603050405020304}Times New Roman;}{\f2\fbidi \fmodern\fcharset0\fprq1{\*\panose 02070309020205020404}Courier New;} {\f3\fbidi \froman\fcharset2\fprq2{\*\panose 05050102010706020507}Symbol;}{\f4\fbidi \fswiss\fcharset0\fprq2{\*\panose 020b0604020202020204}Helvetica;}{\f10\fbidi \fnil\fcharset2\fprq2{\*\panose 05000000000000000000}Wingdings;} 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\jexpand\viewkind1\viewscale90\pgbrdrhead\pgbrdrfoot\splytwnine\ftnlytwnine\htmautsp\nolnhtadjtbl\useltbaln\alntblind\lytcalctblwd\lyttblrtgr\lnbrkrule\nobrkwrptbl\viewnobound1\snaptogridincell\allowfieldendsel @@ -140,20 +140,19 @@ After the parameter estimation is done, the user can call commands to create gra \rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9976323 Figure 4 is Example 14. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9976323\charrsid9976323 Figure 6&7 are from Example 19, Figure 8&9 are from Example 20. Figures 10&11 are from Example 21.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7820741 \line }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid7820741\charrsid9976323 Paper 2 Examples: }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7820741 }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4154896 Example 11 and }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13786050\charrsid13786050 Example12withScaling_std}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4154896 .}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7820741 -\par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid11681049 #TODO: Change it so that at least example 1a has a more simple example of importing data from a file. Should just use numpy getfromcsv and then specify the column numbe -r where the data is for errors etc. +\par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid11681049 #TODO: Change it so that at least example 1a has a more simple example of importing data from a file. Should just use numpy getfromcsv and then specify the column number where the data is f +or errors etc. \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid13245668\charrsid14318265 Example 1}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid14318265\charrsid14318265 a}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid13245668\charrsid14318265 :}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13245668 }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 This example shows users how to do a Bayesian Parameter estimation using Markov Chain Monte Carlo (basically, using statistical sampling of the parameter space). }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 For this example, new users do not need to understand }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 MCMC nor understand the example\rquote s}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 model }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 since the purpose is to learn how t}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 o use CheKiPEUQ. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 Users should open the runfile to look inside. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 All users need to understand is that there are six parameters. Ea1, Ea2, A1, A2, g1, g2. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 Notice that the}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 prior values and their uncertainties are specified in } -{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8419468 runfile_Example1a}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 . }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 -Notice that every variable made is passed into the UserInput. One thing that is important to recognize is that a }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid1655367 model}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 - must be provided to the runfile in the form of a python function given to }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367\charrsid1655367 UserInput.model['simulateByInputParametersOnlyFunction']}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 -. This function }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid1655367 must}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 take }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid1655367 exactly }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 -the same parameters in exactly the same order.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 Users may optionally provide }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857\charrsid16666857 UserInput.model['simulationOutputProcessingFunction']}{ -\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 which can parse the output from the simulation function in order to match the format of the }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10898533 f}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 s_observed. - +{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8419468 runfile_Example1a}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 . }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 Notice that every variable made is passed into the UserInput. One thing that + is important to recognize is that a }{\rtlch\fcs1 \ai\af0 \ltrch\fcs0 \i\insrsid1655367 model}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 must be provided to the runfile in the form of a python function given to }{\rtlch\fcs1 \af0 \ltrch\fcs0 +\insrsid1655367\charrsid1655367 UserInput.model['simulateByInputParametersOnlyFunction']}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 . This function }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid1655367 must}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 + take }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid1655367 exactly }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 the same parameters in exactly the same order.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 Users may optionally provide }{\rtlch\fcs1 +\af0 \ltrch\fcs0 \insrsid16666857\charrsid16666857 UserInput.model['simulationOutputProcessingFunction']}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 which can parse the output from the simulation function in order to match the format of the }{ +\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10898533 f}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 s_observed. \par Note: The }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857\charrsid1655367 'simulateByInputParametersOnlyFunction'}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 must return ONLY a vector (or set of vectors) with the same length as }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857\charrsid16666857 responses_observed}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 . If for example }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857\charrsid1655367 'simulateByInputParametersOnlyFunction'}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 returns both an abscissa and a set of simulated responses, then a }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857\charrsid16666857 'simulationOutputProcessingFunction'}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 @@ -162,27 +161,28 @@ the same parameters in exactly the same order.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \in passed as an argument to create a parameter estimation object which we call PE_object (an arbitrary choice). \par Next, we use }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13840911 the command }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 PE_object.doMetropolisHastings() \par This will run the MCMC using the default choices that were given for mcmc. -\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13840911 Finally, we use the command PE_object.createAllPlots() to create the default plots for whatever type of choices we have made. In this case, }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4607868 -looks focus on just the final plot. We}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13840911 see several things come out: +\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13840911 Finally, we use the command PE_object.createAllPlots() to create the default plots for whatever type of choices we have made. In this case, }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4607868 looks foc +us on just the final plot. We}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13840911 see several things come out: \par {\listtext\pard\plain\ltrpar \s15 \rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \f31506\fs22\insrsid13840911 \hich\af31506\dbch\af0\loch\f31506 1)\tab}}\pard\plain \ltrpar\s15\ql \fi-360\li720\ri0\sa160\sl259\slmult1 \widctlpar\wrapdefault\aspalpha\aspnum\faauto\ls2\adjustright\rin0\lin720\itap0\pararsid13840911\contextualspace \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \f31506\fs22\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13840911 The}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4607868 observed data from experiments }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13840911 \par {\listtext\pard\plain\ltrpar \s15 \rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \f31506\fs22\insrsid4607868 \hich\af31506\dbch\af0\loch\f31506 2)\tab}}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4607868 The simulation from mu_guess which is the initial guess (which is taken as the prior if no other initial guess was provided) -\par {\listtext\pard\plain\ltrpar \s15 \rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \f31506\fs22\insrsid4607868 \hich\af31506\dbch\af0\loch\f31506 3)\tab}The MAP result, which is the output using the parameter set which has - the highest posterior probability. This is the BPE equivalent of a \'93best fit\'94 -\par {\listtext\pard\plain\ltrpar \s15 \rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \f31506\fs22\insrsid4607868 \hich\af31506\dbch\af0\loch\f31506 4)\tab} -The mu_AP result, which is the highest expected value. In practice, we ideally want the mu_AP result and MAP result to be approximately the same. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7096317 +\par {\listtext\pard\plain\ltrpar \s15 \rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \f31506\fs22\insrsid4607868 \hich\af31506\dbch\af0\loch\f31506 3)\tab}The MAP result, which is th +e output using the parameter set which has the highest posterior probability. This is the BPE equivalent of a \'93best fit\'94 +\par {\listtext\pard\plain\ltrpar \s15 \rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \f31506\fs22\insrsid4607868 \hich\af31506\dbch\af0\loch\f31506 4)\tab}The mu_AP result, which is the hi +ghest expected value. In practice, we ideally want the mu_AP result and MAP result to be approximately the same. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7096317 \par {\listtext\pard\plain\ltrpar \s15 \rtlch\fcs1 \af0\afs22 \ltrch\fcs0 \f31506\fs22\insrsid7096317 \hich\af31506\dbch\af0\loch\f31506 a.\tab}}\pard \ltrpar\s15\ql \fi-360\li1440\ri0\sa160\sl259\slmult1 \widctlpar\wrapdefault\aspalpha\aspnum\faauto\ls2\ilvl1\adjustright\rin0\lin1440\itap0\pararsid7096317\contextualspace {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7096317 Details beyond the scope of this tutorial: }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4607868 When they are not the same, it usually means one of a few things: a) that more mcmc sampling must be done }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7096317 to get a better exploration of the response surface, }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4607868 b) that the response surface is not well behaved }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7096317 and is hard to sample }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4607868 (this issue is described a bit in the next tutorial), c) that the }{\rtlch\fcs1 \af0 -\ltrch\fcs0 \insrsid7096317 mcmc step length(s) are not a good match to the curvature of the response surface so it is not being sampled well, d) that the model is very sensitive to parameter choices, -e) that the posterior probability is asymmetric (it may even be multi-modal).}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4607868 +\ltrch\fcs0 \insrsid7096317 mcmc step length(s) are not a good match to the curvat +ure of the response surface so it is not being sampled well, d) that the model is very sensitive to parameter choices, e) that the posterior probability is asymmetric (it may even be multi-modal).}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4607868 \par }\pard\plain \ltrpar\ql \li0\ri0\sa160\sl259\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid13245668 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \f31506\fs22\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 { \rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1655367 For those curious about the model, this is a}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 n example with two states. Each state has}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 a}{\rtlch\fcs1 \af0 -\ltrch\fcs0 \insrsid5003270 \'93base\'94 activation ener}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 gy}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 , a pre-exponential and a coefficient (gamma value) to describe a - coverage dependent activation energy. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 A temperature programmed reaction consisting of only desorption is simulated.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13245668 +\ltrch\fcs0 \insrsid5003270 \'93base\'94 activation ener}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 gy}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5003270 +, a pre-exponential and a coefficient (gamma value) to describe a coverage dependent activation energy. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 A temperature programmed reaction consisting of only desorption is simulated.}{\rtlch\fcs1 \af0 +\ltrch\fcs0 \insrsid13245668 \par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16666857 \par }\pard\plain \ltrpar\s16\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid2162960 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \f31506\fs22\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid14318265\charrsid14318265 Example 1}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid14318265 b}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid14318265\charrsid14318265 :}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid14318265 }{\rtlch\fcs1 \af0 @@ -196,8 +196,8 @@ This is the same as example 1a, except that now we use}{\rtlch\fcs1 \ab\af0 \ltr \par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid657468 This set of choices will ignore the mcmc settings, and will not include a mu_AP in the output (at this time). \par It is anticipated that in the future the gridsearch will provide a mu_AP value.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16143665 \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid2162960 -\par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid16143665\charrsid14831571 Example 1}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid16143665 d: }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16143665 This is like Example 1b, only it uses the transient - kinetics feature that converts things to an integral form in an intermediate step. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid6891876 }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16143665\charrsid16143665 +\par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid16143665\charrsid14831571 Example 1}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid16143665 d: }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16143665 +This is like Example 1b, only it uses the transient kinetics feature that converts things to an integral form in an intermediate step. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid6891876 }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid16143665\charrsid16143665 \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid2162960 \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid12922612 Example 2}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid12933927 a}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid12922612 :}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid1310745 }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1310745 Example 2 is similar to Example 1. The only major different is that example 2 shows that it is possible to perform a simulation using Cantera. It is important to note that the simulation function is called }{\rtlch\fcs1 \af0 \ltrch\fcs0 @@ -223,8 +223,8 @@ ighting supported. However, it would be nice if magnitude and variance weighted \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid941537 \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid12661354 Example 3}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid2162960 d}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid12661354 : }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12661354\charrsid12012550 is a variation of Example 1 where }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid12661354 the integral is used instead of the rate for grid search optimization -\par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid5917578 Example 4: Some kind of Cantera Example -\par Example 5}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid7499473 : }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid8982304 Some kind of Cantera Example}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid5917578 +\par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid5917578 Example 4: }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5917578\charrsid11993403 Some kind of Cantera Example}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid5917578 +\par Example 5}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid7499473 : }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid8982304\charrsid11993403 Some kind of Cantera Example}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid5917578 \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid11561285 Example 6: }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid11561285\charrsid11803067 Cantera Example}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid11803067 with coverage dependent activation energy offsets.}{ \rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid2162960 The basic flow of this example is like this: \par CheKiPEUQ }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid2121527 imports }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid2121527\charrsid2121527 integrated_cantera_simulation_wrapper_example6}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid2121527 so it can call }{ @@ -248,8 +248,8 @@ canteraKineticsParametersParser.populatePiecewiseCoverageDependence}{\rtlch\fcs1 \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid6836846 Then, the file }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid6836846\charrsid6836846 create_cti_and_SimulatePFRorTPRwithCantera}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid6836846 does the actual simulations during the first iteration, and }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid6836846\charrsid6836846 modify_reactions_and_SimulatePFRorTPRwithCantera}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid6836846 does the actual simulations during later iterations}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid2106192 (by calling }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid2106192\charrsid2106192 simulatePFRorTPRwithCantera}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 -\insrsid2106192 after modifying the reactions)}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid6836846 .}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid393755 - At present (April 2020), even the modify case requires making a new cantera model each time because the function }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid13060301\charrsid13060301 modify_reaction}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid13060301 +\insrsid2106192 after modifying the reactions)}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid6836846 .}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid393755 At pre +sent (April 2020), even the modify case requires making a new cantera model each time because the function }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid13060301\charrsid13060301 modify_reaction}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid13060301 does not yet work for surface reactions within cantera.}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid12332759 \par It then calls }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid12332759\charrsid12332759 simulatePFRorTPRwithCantera}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \insrsid12332759 \par @@ -316,15 +316,15 @@ This example is for Design of Experiments.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsi Catalytic membrane reactor example. Example12withScaling2E3 is primarily used (although many different scaling schemes work equally well).}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid1771136 \par \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid14303575\charrsid14303575 Example13doeFunctionExample}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid14303575 }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14303575 shows how to use the design of experiments}{\rtlch\fcs1 -\af0 \ltrch\fcs0 \insrsid2162941 (doe)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14303575 feature.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7556069 - There are two runfiles. One is the xyz runfile and one is meshgrid. The meshgrid way of things is recommended when two independent variables are being explored. The xyz way is recommended for all other numbers of independent variables.}{\rtlch\fcs1 \af0 -\ltrch\fcs0 \insrsid13965316 The key arguments are from UserInput.doe_settings}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14303575\charrsid14303575 +\af0 \ltrch\fcs0 \insrsid2162941 (doe)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14303575 feature.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7556069 There are two runfiles. One i +s the xyz runfile and one is meshgrid. The meshgrid way of things is recommended when two independent variables are being explored. The xyz way is recommended for all other numbers of independent variables.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid13965316 + The key arguments are from UserInput.doe_settings}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid14303575\charrsid14303575 \par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 \par The two files }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260\charrsid10292260 runfile_Example13_doe_function_meshgrid_1.py}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 and }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260\charrsid10292260 -runfile_Example13_doe_function_xyz_1.py}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 each show how to use the syntax for the scanning function which -scans across different parameter modulations, and also how to do a manual retrieval of an info_gain plot for a single parameter modulation. (an addition is used }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid15621302 for the perturbation but a set of}{ -\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 posterior}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid15621302 means}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 could be fed directly)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9458816 . When KL_divergence i -nfo_gain is being used, these two files use only the sum. }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9458816\charrsid9458816 UserInput.doe_settings['info_gains_matrices_multiple_parameters'] = 'sum'}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 +runfile_Example13_doe_function_xyz_1.py}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 each show how to use the syntax for the scanning function which scans across different parameter modulations, and also how to do a manual retrieval of +an info_gain plot for a single parameter modulation. (an addition is used }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid15621302 for the perturbation but a set of}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 posterior}{\rtlch\fcs1 \af0 \ltrch\fcs0 +\insrsid15621302 means}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 could be fed directly)}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9458816 . When KL_divergence info_gain is being used, these two files use only the sum. }{\rtlch\fcs1 \af0 \ltrch\fcs0 +\insrsid9458816\charrsid9458816 UserInput.doe_settings['info_gains_matrices_multiple_parameters'] = 'sum'}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid10292260 \par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9458816 \par }\pard \ltrpar\s16\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10890149 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9458816\charrsid9458816 runfile_Example13_doe_function_meshgrid_2}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9458816 and }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9458816\charrsid9458816 runfile_Example13_doe_function_xyz_2}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9458816 are runfiles showing how to do a manual @@ -387,8 +387,8 @@ InputParameterPriorValues_upperBounds}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid6762 \par }\pard \ltrpar\s16\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid338454 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid931714 {\*\bkmkend _Hlk39651645} \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid338454 Example 16b: }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7537644 Does a Nelder-Mead optimization on the logP from 16a.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid338454\charrsid7537644 \par }\pard \ltrpar\s16\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid2162960 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7878561 -\par }\pard \ltrpar\s16\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7878561 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid7878561 Example 17 directory is like Example 16, on -ly the coverage dependence (with gamma coefficients) is based upon total coverage rather than that species\rquote coverage. +\par }\pard \ltrpar\s16\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid7878561 {\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid7878561 +Example 17 directory is like Example 16, only the coverage dependence (with gamma coefficients) is based upon total coverage rather than that species\rquote coverage. \par }\pard \ltrpar\s16\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid2162960 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7878561 \par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4591737\charrsid4591737 runfile_Example17a_BPE_singlePoint.py}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid4591737 uses the feature for evaluating (and then plotting the simulation results) of a single point versus the observed data. This is}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3740216 useful when testing a function.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid3219964 @@ -417,15 +417,40 @@ The 21c directories are 2 dimensional mcmc sampling of slices of the posterior a \par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid5311143 \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid7175132 Example 22: }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7175132 Like Example 18}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid6258573 and 21}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid7175132 , with experimental uncertainty of 0.00125 -\par }\pard\plain \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid1771136 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \f31506\fs22\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \ab\af46 \ltrch\fcs0 -\b\loch\af46\hich\af46\dbch\af47\insrsid1771136 -\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid2493548 {\rtlch\fcs1 \ab\af46 \ltrch\fcs0 \b\loch\af46\hich\af46\dbch\af47\insrsid1771136 \hich\af46\dbch\af47\loch\f46 Example 23: }{\rtlch\fcs1 \af4 \ltrch\fcs0 -\loch\af4\hich\af4\dbch\af47\insrsid1771136 \hich\af4\dbch\af47\loch\f4 Catalytic \hich\af4\dbch\af47\loch\f4 membrane reactor example with all three parameters inferred for testing to methods to calculate information gain.}{\rtlch\fcs1 \af4 \ltrch\fcs0 -\loch\af4\hich\af4\dbch\af47\insrsid539666 -\par }{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af47\insrsid2493548\charrsid2493548 +\par }\pard\plain \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid1771136 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \f31506\fs22\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \ab\af44 \ltrch\fcs0 +\b\loch\af44\hich\af44\dbch\af45\insrsid1771136 +\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid2493548 {\rtlch\fcs1 \ab\af44 \ltrch\fcs0 \b\loch\af44\hich\af44\dbch\af45\insrsid1771136 \hich\af44\dbch\af45\loch\f44 Example 23: }{\rtlch\fcs1 \af4 \ltrch\fcs0 +\loch\af4\hich\af4\dbch\af45\insrsid1771136 \hich\af4\dbch\af45\loch\f4 Catalytic \hich\af4\dbch\af45\loch\f4 membrane reactor example with all three parameters inferred for testing to methods to calculate information gain.}{\rtlch\fcs1 \af4 \ltrch\fcs0 +\loch\af4\hich\af4\dbch\af45\insrsid539666 +\par }{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid2493548\charrsid2493548 +\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid14370553 {\rtlch\fcs1 \ab\af44 \ltrch\fcs0 \b\loch\af44\hich\af44\dbch\af45\insrsid14370553 \hich\af44\dbch\af45\loch\f44 Example 2}{\rtlch\fcs1 \ab\af44 \ltrch\fcs0 +\b\loch\af44\hich\af44\dbch\af45\insrsid14370553 \hich\af44\dbch\af45\loch\f44 4}{\rtlch\fcs1 \ab\af44 \ltrch\fcs0 \b\loch\af44\hich\af44\dbch\af45\insrsid14370553 \hich\af44\dbch\af45\loch\f44 : }{\rtlch\fcs1 \af4 \ltrch\fcs0 +\loch\af4\hich\af4\dbch\af45\insrsid13521263 \hich\af4\dbch\af45\loch\f4 A simple example }{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid12864229 \hich\af4\dbch\af45\loch\f4 using a First Order}{\rtlch\fcs1 \af4 \ltrch\fcs0 +\loch\af4\hich\af4\dbch\af45\insrsid13521263 \hich\af4\dbch\af45\loch\f4 }{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid12864229 \hich\af4\dbch\af45\loch\f4 R}{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid13521263 +\hich\af4\dbch\af45\loch\f4 edhead }{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid12864229 \hich\af4\dbch\af45\loch\f4 peak maxi\hich\af4\dbch\af45\loch\f4 mum }{\rtlch\fcs1 \af4 \ltrch\fcs0 +\loch\af4\hich\af4\dbch\af45\insrsid13521263 \hich\af4\dbch\af45\loch\f4 approximation.}{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid14370553 \par }\pard\plain \ltrpar\s16\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid6250917 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \f31506\fs22\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \ab\af0 -\ltrch\fcs0 \b\insrsid2493548 Model Selection / Model Discrimination / Model Comparison:}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2493548 There is no example right now. Contact the creators.}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2493548\charrsid2493548 - +\ltrch\fcs0 \b\insrsid14370553 +\par }\pard\plain \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid14370553 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \f31506\fs22\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \ab\af44 \ltrch\fcs0 +\b\loch\af44\hich\af44\dbch\af45\insrsid14370553 \hich\af44\dbch\af45\loch\f44 Example 2}{\rtlch\fcs1 \ab\af44 \ltrch\fcs0 \b\loch\af44\hich\af44\dbch\af45\insrsid14370553 \hich\af44\dbch\af45\loch\f44 5}{\rtlch\fcs1 \ab\af44 \ltrch\fcs0 +\b\loch\af44\hich\af44\dbch\af45\insrsid14370553 \hich\af44\dbch\af45\loch\f44 : }{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid14370553 \hich\af4\dbch\af45\loch\f4 Uniform priors\hich\af4\dbch\af45\loch\f4 example}{\rtlch\fcs1 \af4 +\ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid5792686 \hich\af4\dbch\af45\loch\f4 . T\hich\af4\dbch\af45\loch\f4 o\hich\af4\dbch\af45\loch\f4 ok Example\hich\af4\dbch\af45\loch\f4 14_\hich\af4\dbch\af45\loch\f4 Sta\hich\af4\dbch\af45\loch\f4 te +\hich\af4\dbch\af45\loch\f4 _2 \hich\af4\dbch\af45\loch\f4 which is in thi\hich\af4\dbch\af45\loch\f4 s directory as }{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid5792686\charrsid5792686 \hich\af4\dbch\af45\loch\f4 +runfile_Example25_Example14_State2_Original_mcmc.py}{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid5792686 \hich\af4\dbch\af45\loch\f4 and then made }{\rtlch\fcs1 \af4 \ltrch\fcs0 +\loch\af4\hich\af4\dbch\af45\insrsid5792686\charrsid5792686 \hich\af4\dbch\af45\loch\f4 runfile_Example25_Example14_State2_Uniform_Par1_mcmc.py}{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid5792686 \hich\af4\dbch\af45\loch\f4 + as an exam\hich\af4\dbch\af45\loch\f4 ple \hich\af4\dbch\af45\loch\f4 where th\hich\af4\dbch\af45\loch\f4 e first parameter is set as having a uniform distribution}{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid10567217 +\hich\af4\dbch\af45\loch\f4 \hich\af4\dbch\af45\loch\f4 (from 11 to 19)}{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid5792686 \hich\af4\dbch\af45\loch\f4 . }{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid12478317 +\hich\af4\dbch\af45\loch\f4 Th}{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid9333173 \hich\af4\dbch\af45\loch\f4 is example was just chosen because it runs quickly.}{\rtlch\fcs1 \af4 \ltrch\fcs0 +\loch\af4\hich\af4\dbch\af45\insrsid10567217 \hich\af4\dbch\af45\loch\f4 With the bound\hich\af4\dbch\af45\loch\f4 s as they are presently set, the MAP \hich\af4\dbch\af45\loch\f4 is at one of the bounds. \hich\af4\dbch\af45\loch\f4 As in other contexts +\hich\af4\dbch\af45\loch\f4 , u\hich\af4\dbch\af45\loch\f4 sers should be susp\hich\af4\dbch\af45\loch\f4 icious of any parame\hich\af4\dbch\af45\loch\f4 ter esti\hich\af4\dbch\af45\loch\f4 mati\hich\af4\dbch\af45\loch\f4 on that goes to the bounds +\hich\af4\dbch\af45\loch\f4 for tha\hich\af4\dbch\af45\loch\f4 t parameter.\hich\af4\dbch\af45\loch\f4 I\hich\af4\dbch\af45\loch\f4 f one widens the pa\hich\af4\dbch\af45\loch\f4 rameter bounds\hich\af4\dbch\af45\loch\f4 to 0 and 100}{\rtlch\fcs1 \af4 +\ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid4338887 \hich\af4\dbch\af45\loch\f4 , the MAP is no longer a\hich\af4\dbch\af45\loch\f4 t a bound.}{\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid9661017 \hich\af4\dbch\af45\loch\f4 }{ +\rtlch\fcs1 \af4 \ltrch\fcs0 \loch\af4\hich\af4\dbch\af45\insrsid14370553 +\par }\pard\plain \ltrpar\s16\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid6250917 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \f31506\fs22\lang1033\langfe1033\cgrid\langnp1033\langfenp1033 {\rtlch\fcs1 \ab\af0 +\ltrch\fcs0 \b\insrsid14370553 +\par +\par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid2493548 Model Selection / Model Discrimination / Model Comparison:}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2493548 There is no example right now. Contact the creators.}{\rtlch\fcs1 \af0 \ltrch\fcs0 +\insrsid2493548\charrsid2493548 \par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid539666 \par }{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid539666 Dill Pickling:}{\rtlch\fcs1 \ab\af0 \ltrch\fcs0 \b\insrsid539666\charrsid539666 \par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid539666 A useful piece of information is the PE_objects can be dill pickled. @@ -433,7 +458,7 @@ The 21c directories are 2 dimensional mcmc sampling of slices of the posterior a \rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid539666 You just have to use \'93pip install dill\'94 to get it. there is also a conda install }{\field\fldedit{\*\fldinst {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid539666 HYPERLINK "https://anaconda.org/anaconda/dill" }{ \rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid941537 {\*\datafield 00d0c9ea79f9bace118c8200aa004ba90b0200000003000000e0c9ea79f9bace118c8200aa004ba90b5e000000680074007400700073003a002f002f0061006e00610063006f006e00640061002e006f00720067002f0061006e00610063006f006e00640061002f00640069006c006c000000795881f43b1d7f48af2c825d -c485276300000000a5ab000300ad000012}}}{\fldrslt {\rtlch\fcs1 \af0 \ltrch\fcs0 \cs19\ul\cf19\insrsid539666 https://anaconda.org/anaconda/dill}}}\sectd \ltrsect\linex0\endnhere\sectlinegrid360\sectdefaultcl\sectrsid13597278\sftnbj {\rtlch\fcs1 \af0 +c485276300000000a5ab000300ad00001243}}}{\fldrslt {\rtlch\fcs1 \af0 \ltrch\fcs0 \cs19\ul\cf19\insrsid539666 https://anaconda.org/anaconda/dill}}}\sectd \ltrsect\linex0\endnhere\sectlinegrid360\sectdefaultcl\sectrsid13597278\sftnbj {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid539666 \par }\pard \ltrpar\ql \li720\ri0\sa160\sl259\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin720\itap0\pararsid9449060 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9449060 TO SAVE }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid539666 The syntax is as follows}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9449060\charrsid9449060 @@ -592,8 +617,8 @@ fffffffffffffffffdfffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff -ffffffffffffffffffffffffffffffff52006f006f007400200045006e00740072007900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000016000500ffffffffffffffffffffffff0c6ad98892f1d411a65f0040963251e50000000000000000000000000005 -7afbe364d601feffffff00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffff00000000000000000000000000000000000000000000000000000000 +ffffffffffffffffffffffffffffffff52006f006f007400200045006e00740072007900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000016000500ffffffffffffffffffffffff0c6ad98892f1d411a65f0040963251e5000000000000000000000000607a +97dd5168d601feffffff00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffff00000000000000000000000000000000000000000000000000000000 00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffff0000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffff000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000105000000000000}} \ No newline at end of file