├── bayesiannotes.md ├── home.png ├── atts_3.png ├── atts_5.png ├── rugbyball.jpg ├── smalldata.jpg ├── Bayesian_Rugby.pdf ├── onedoesnotsimply.jpg ├── pydatalogo-generic.png ├── probabilisticprogramming.png ├── 11270100_10152917645696094_1195739076_n.jpg ├── Bayesian_Rugby_files ├── Bayesian_Rugby_43_1.png ├── Bayesian_Rugby_45_1.png ├── Bayesian_Rugby_45_2.png ├── Bayesian_Rugby_51_0.png ├── Bayesian_Rugby_54_0.png ├── Bayesian_Rugby_58_0.png └── Bayesian_Rugby_64_0.jpg ├── data ├── table_2014.csv ├── results_2015.csv ├── results_2014.csv ├── S └── S&P500.csv ├── the-most-interesting-man-in-the-world-meme-generator-i-don-t-give-many-talks-but-when-i-do-i-do-q-a-e38222 copy.jpg ├── README.md ├── df_avg.csv ├── df_avg_data.csv ├── df_avg_data_edited.csv ├── .gitignore ├── LICENSE ├── pythontestytest.py ├── rugby_analytics.py ├── PyMC3_version.py ├── rugby_analytics.md ├── data1.csv └── data0.csv /bayesiannotes.md: 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/Bayesian_Rugby_files/Bayesian_Rugby_64_0.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/springcoil/TutorialPyMCRugby/HEAD/Bayesian_Rugby_files/Bayesian_Rugby_64_0.jpg -------------------------------------------------------------------------------- /data/table_2014.csv: -------------------------------------------------------------------------------- 1 | position,team,points,QR 2 | 1, Ireland,8,winners 3 | 2, England,8,triple_crown 4 | 3, Wales,6, 5 | 4, France,6, 6 | 5, Scotland,2, 7 | 6, Italy,0,wooden_spoon 8 | 9 | 10 | -------------------------------------------------------------------------------- /data/results_2015.csv: -------------------------------------------------------------------------------- 1 | ank Team 2 | 1 Ireland 5 4 0 1 119 56 8 3 | 2 England 5 4 0 1 157 100 8 4 | 3 Wales 5 4 0 1 146 93 8 5 | 4 France 5 2 0 3 103 101 4 6 | 5 Italy 5 1 0 4 62 182 2 7 | 6 Scotland 5 0 0 5 73 128 0 8 | -------------------------------------------------------------------------------- /the-most-interesting-man-in-the-world-meme-generator-i-don-t-give-many-talks-but-when-i-do-i-do-q-a-e38222 copy.jpg: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/springcoil/TutorialPyMCRugby/HEAD/the-most-interesting-man-in-the-world-meme-generator-i-don-t-give-many-talks-but-when-i-do-i-do-q-a-e38222 copy.jpg -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Probabilistic_Programming_and_Rugby 2 | This is the slides from my upcoming talk in Luxembourg. This will be the test for 3 | my PyData talk in Berlin and will influence any tutorials i give in London. 4 | * This is a Tutorial version of the previous talks. 5 | * I've added FinTech examples too :) 6 | -------------------------------------------------------------------------------- /df_avg.csv: -------------------------------------------------------------------------------- 1 | ,avg_att,avg_def,position,team,points,QR 2 | 5,0.12534550229929345,-0.1387600910327902,,Wales,, 3 | 5,0.09672854138967626,0.15076370984217996,,France,, 4 | 5,0.17936315296032354,-0.5606647463738842,,Ireland,, 5 | 5,-0.5498432686774545,0.289371684719861,,Scotland,, 6 | 5,-0.25141755385327486,0.5151006243150366,,Italy,, 7 | 5,0.3998236258814357,-0.2558111814704039,,England,, 8 | -------------------------------------------------------------------------------- /df_avg_data.csv: -------------------------------------------------------------------------------- 1 | avg_att;avg_def;points;team;position;QR 0.12534550229929345;-0.1387600910327902;6;Wales;3; 0.09672854138967626;0.15076370984217996;6;France;4; 0.17936315296032354;-0.5606647463738842;8;Ireland;1;winners -0.5498432686774545;0.289371684719861;2;Scotland;5; -0.25141755385327486;0.5151006243150366;0;Italy;6;wooden_spoon 0.3998236258814357;-0.2558111814704039;8;England;2;triple_crown -------------------------------------------------------------------------------- /df_avg_data_edited.csv: -------------------------------------------------------------------------------- 1 | avg_att;avg_def;points;team;position;QR 0.12534550229929345;-0.1387600910327902;6;Wales;3; 0.09672854138967626;0.15076370984217996;6;France;4; 0.17936315296032354;-0.5606647463738842;8;Ireland;1;winners -0.5498432686774545;0.289371684719861;2;Scotland;5; -0.25141755385327486;0.5151006243150366;0;Italy;6;wooden_spoon 0.3998236258814357;-0.2558111814704039;8;England;2;triple_crown -------------------------------------------------------------------------------- /data/results_2014.csv: -------------------------------------------------------------------------------- 1 | home_team,away_team,home_score,away_score 2 | Wales,Italy,23,15 3 | France,England,26,24 4 | Ireland,Scotland,28,6 5 | Ireland,Wales,26,3 6 | Scotland,England,0,20 7 | France,Italy,30,10 8 | Wales,France,27,6 9 | Italy,Scotland,20,21 10 | England,Ireland,13,10 11 | Ireland,Italy,46,7 12 | Scotland,France,17,19 13 | England,Wales,29,18 14 | Italy,England,11,52 15 | Wales,Scotland,51,3 16 | France,Ireland,20,22 17 | -------------------------------------------------------------------------------- /.gitignore: -------------------------------------------------------------------------------- 1 | # Byte-compiled / optimized / DLL files 2 | __pycache__/ 3 | *.py[cod] 4 | 5 | # C extensions 6 | *.so 7 | 8 | # Distribution / packaging 9 | .Python 10 | env/ 11 | build/ 12 | develop-eggs/ 13 | dist/ 14 | downloads/ 15 | eggs/ 16 | .eggs/ 17 | lib/ 18 | lib64/ 19 | parts/ 20 | sdist/ 21 | var/ 22 | *.egg-info/ 23 | .installed.cfg 24 | *.egg 25 | 26 | # PyInstaller 27 | # Usually these files are written by a python script from a template 28 | # before PyInstaller builds the exe, so as to inject date/other infos into it. 29 | *.manifest 30 | *.spec 31 | 32 | # Installer logs 33 | pip-log.txt 34 | pip-delete-this-directory.txt 35 | 36 | # Unit test / coverage reports 37 | htmlcov/ 38 | .tox/ 39 | .coverage 40 | .coverage.* 41 | .cache 42 | nosetests.xml 43 | coverage.xml 44 | *,cover 45 | 46 | # Translations 47 | *.mo 48 | *.pot 49 | 50 | # Django stuff: 51 | *.log 52 | 53 | # Sphinx documentation 54 | docs/_build/ 55 | 56 | # PyBuilder 57 | target/ 58 | -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | The MIT License (MIT) 2 | 3 | Copyright (c) 2015 springcoil 4 | 5 | Permission is hereby granted, free of charge, to any person obtaining a copy 6 | of this software and associated documentation files (the "Software"), to deal 7 | in the Software without restriction, including without limitation the rights 8 | to use, copy, modify, merge, publish, distribute, sublicense, and/or sell 9 | copies of the Software, and to permit persons to whom the Software is 10 | furnished to do so, subject to the following conditions: 11 | 12 | The above copyright notice and this permission notice shall be included in all 13 | copies or substantial portions of the Software. 14 | 15 | THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR 16 | IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 17 | FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE 18 | AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 19 | LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, 20 | OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE 21 | SOFTWARE. 22 | 23 | -------------------------------------------------------------------------------- /pythontestytest.py: -------------------------------------------------------------------------------- 1 | import theano.tensor as T 2 | import pymc3 as pm 3 | # trick to code the sum to zero constraint 4 | 5 | 6 | 7 | 8 | model = pm.Model() 9 | with pm.Model() as model: 10 | home3 = pm.Normal('home', 0, .0001) 11 | tau_att3 = pm.Gamma('tau_att', .1, .1) 12 | tau_def3 = pm.Gamma('tau_def', .1, .1) 13 | intercept3 = pm.Normal('intercept', 0, .0001) 14 | #team-specific parameters 15 | atts_star3 = pm.Normal("atts_star", 16 | mu=0, 17 | tau=tau_att3, 18 | size=num_teams, 19 | value=att_starting_points.values) 20 | defs_star3 = pm.Normal("defs_star", 21 | mu=0, 22 | tau=tau_def3, 23 | size=num_teams, 24 | value=def_starting_points.values) 25 | 26 | atts = pm.Deterministic('regression', atts_star3.copy() - T.mean(atts_star3)) 27 | home_theta3 = pm.Deterministic('regression', T.exp(intercept3 + atts[home_team] + defs[away_team])) 28 | 29 | defs = pm.Deterministic('regression', defs_star3.copy() - T.mean(def_star3)) 30 | away_theta3 = pm.Deterministic('regression', T.exp(intercept3 + atts[away_team] + defs[home_team])) 31 | # Unknown model parameters 32 | home_points3 = pm.Poisson('home_points', mu=home_theta3, observed=observed_home_goals) 33 | away_points3 = pm.Poisson('away_points', mu=home_theta3, observed=observed_away_goals) 34 | 35 | 36 | Y_obs = pm.Normal('Y_obs', mu=mu, sd=sigma, observed=Y) -------------------------------------------------------------------------------- /rugby_analytics.py: -------------------------------------------------------------------------------- 1 | 2 | # coding: utf-8 3 | 4 | # # A Hierarchical model for Rugby prediction 5 | 6 | 7 | 8 | import numpy as np 9 | import pandas as pd 10 | try: 11 | from StringIO import StringIO 12 | except ImportError: 13 | from io import StringIO 14 | get_ipython().magic('matplotlib inline') 15 | import pymc3 as pm3, theano.tensor as tt 16 | 17 | 18 | # This is a Rugby prediction exercise. So we'll input some data 19 | 20 | 21 | 22 | data_csv = StringIO("""home_team,away_team,home_score,away_score 23 | Wales,Italy,23,15 24 | France,England,26,24 25 | Ireland,Scotland,28,6 26 | Ireland,Wales,26,3 27 | Scotland,England,0,20 28 | France,Italy,30,10 29 | Wales,France,27,6 30 | Italy,Scotland,20,21 31 | England,Ireland,13,10 32 | Ireland,Italy,46,7 33 | Scotland,France,17,19 34 | England,Wales,29,18 35 | Italy,England,11,52 36 | Wales,Scotland,51,3 37 | France,Ireland,20,22""") 38 | 39 | 40 | # #The model. 41 | #

The league is made up by a total of T= 6 teams, playing each other once 42 | # in a season. We indicate the number of points scored by the home and the away team in the g-th game of the season (15 games) as $y_{g1}$ and $y_{g2}$ respectively.

43 | #

The vector of observed counts $\mathbb{y} = (y_{g1}, y_{g2})$ is modelled as independent Poisson: 44 | # $y_{gi}| \theta_{gj} \tilde\;\; Poisson(\theta_{gj})$ 45 | # where the theta parameters represent the scoring intensity in the g-th game for the team playing at home (j=1) and away (j=2), respectively.

46 | # 47 | #

We model these parameters according to a formulation that has been used widely in the statistical literature, assuming a log-linear random effect model: 48 | # $$log \theta_{g1} = home + att_{h(g)} + def_{a(g)} $$ 49 | # $$log \theta_{g2} = att_{a(g)} + def_{h(g)}$$ 50 | # the parameter home represents the advantage for the team hosting the game 51 | # and we assume that this effect is constant for all the teams and 52 | # throughout the season. 53 | # 54 | # 55 | # 56 | 57 | 58 | 59 | df = pd.read_csv(data_csv) 60 | 61 | teams = df.home_team.unique() 62 | teams = pd.DataFrame(teams, columns=['team']) 63 | teams['i'] = teams.index 64 | 65 | df = pd.merge(df, teams, left_on='home_team', right_on='team', how='left') 66 | df = df.rename(columns = {'i': 'i_home'}).drop('team', 1) 67 | df = pd.merge(df, teams, left_on='away_team', right_on='team', how='left') 68 | df = df.rename(columns = {'i': 'i_away'}).drop('team', 1) 69 | 70 | observed_home_goals = df.home_score.values 71 | observed_away_goals = df.away_score.values 72 | 73 | home_team = df.i_home.values 74 | away_team = df.i_away.values 75 | 76 | num_teams = len(df.i_home.drop_duplicates()) 77 | num_games = len(home_team) 78 | 79 | g = df.groupby('i_away') 80 | att_starting_points = np.log(g.away_score.mean()) 81 | g = df.groupby('i_home') 82 | def_starting_points = -np.log(g.away_score.mean()) 83 | 84 | 85 | 86 | 87 | model = pm3.Model() 88 | with pm3.Model() as model: 89 | # global model parameters 90 | home = pm3.Normal('home', 0, .0001) 91 | tau_att = pm3.Gamma('tau_att', .1, .1) 92 | tau_def = pm3.Gamma('tau_def', .1, .1) 93 | intercept = pm3.Normal('intercept', 0, .0001) 94 | 95 | # team-specific model parameters 96 | atts_star = pm3.Normal("atts_star", 97 | mu =0, 98 | tau =tau_att, 99 | shape=num_teams) 100 | defs_star = pm3.Normal("defs_star", 101 | mu =0, 102 | tau =tau_def, 103 | shape=num_teams) 104 | 105 | atts = pm3.Deterministic('atts', atts_star - tt.mean(atts_star)) 106 | defs = pm3.Deterministic('defs', defs_star - tt.mean(defs_star)) 107 | home_theta = tt.exp(intercept + home + atts[away_team] + defs[home_team]) 108 | away_theta = tt.exp(intercept + atts[away_team] + defs[home_team]) 109 | 110 | # likelihood of observed data 111 | home_points = pm3.Poisson('home_points', mu=home_theta, observed=observed_home_goals) 112 | away_points = pm3.Poisson('away_points', mu=away_theta, observed=observed_away_goals) 113 | 114 | 115 | # * We specified the model and the likelihood function 116 | # * Now we need to fit our model using the Maximum A Posteriori algorithm to decide where to start out No U Turn Sampler 117 | 118 | 119 | 120 | with model: 121 | 122 | start = pm3.find_MAP() 123 | step = pm3.NUTS(state=start) 124 | trace = pm3.sample(2000, step, start=start, progressbar=True) 125 | 126 | pm3.traceplot(trace) 127 | 128 | 129 | 130 | 131 | -------------------------------------------------------------------------------- /PyMC3_version.py: -------------------------------------------------------------------------------- 1 | 2 | # coding: utf-8 3 | 4 | # # A Hierarchical model for Rugby prediction 5 | 6 | # In[1]: 7 | 8 | get_ipython().system('date') 9 | 10 | import numpy as np 11 | import pandas as pd 12 | try: 13 | from StringIO import StringIO 14 | except ImportError: 15 | from io import StringIO 16 | get_ipython().magic('matplotlib inline') 17 | import pymc3 as pm3, theano.tensor as tt 18 | 19 | 20 | # This is a Rugby prediction exercise. So we'll input some data 21 | 22 | # In[3]: 23 | 24 | data_csv = StringIO("""home_team,away_team,home_score,away_score 25 | Wales,Italy,23,15 26 | France,England,26,24 27 | Ireland,Scotland,28,6 28 | Ireland,Wales,26,3 29 | Scotland,England,0,20 30 | France,Italy,30,10 31 | Wales,France,27,6 32 | Italy,Scotland,20,21 33 | England,Ireland,13,10 34 | Ireland,Italy,46,7 35 | Scotland,France,17,19 36 | England,Wales,29,18 37 | Italy,England,11,52 38 | Wales,Scotland,51,3 39 | France,Ireland,20,22""") 40 | 41 | 42 | # #The model. 43 | #

The league is made up by a total of T= 6 teams, playing each other once 44 | # in a season. We indicate the number of points scored by the home and the away team in the g-th game of the season (15 games) as $y_{g1}$ and $y_{g2}$ respectively.

45 | #

The vector of observed counts $\mathbb{y} = (y_{g1}, y_{g2})$ is modelled as independent Poisson: 46 | # $y_{gi}| \theta_{gj} \tilde\;\; Poisson(\theta_{gj})$ 47 | # where the theta parameters represent the scoring intensity in the g-th game for the team playing at home (j=1) and away (j=2), respectively.

48 | # 49 | #

We model these parameters according to a formulation that has been used widely in the statistical literature, assuming a log-linear random effect model: 50 | # $$log \theta_{g1} = home + att_{h(g)} + def_{a(g)} $$ 51 | # $$log \theta_{g2} = att_{a(g)} + def_{h(g)}$$ 52 | # the parameter home represents the advantage for the team hosting the game 53 | # and we assume that this effect is constant for all the teams and 54 | # throughout the season. 55 | # 56 | # 57 | # 58 | 59 | # In[4]: 60 | 61 | df = pd.read_csv(data_csv) 62 | 63 | teams = df.home_team.unique() 64 | teams = pd.DataFrame(teams, columns=['team']) 65 | teams['i'] = teams.index 66 | 67 | df = pd.merge(df, teams, left_on='home_team', right_on='team', how='left') 68 | df = df.rename(columns = {'i': 'i_home'}).drop('team', 1) 69 | df = pd.merge(df, teams, left_on='away_team', right_on='team', how='left') 70 | df = df.rename(columns = {'i': 'i_away'}).drop('team', 1) 71 | 72 | observed_home_goals = df.home_score.values 73 | observed_away_goals = df.away_score.values 74 | 75 | home_team = df.i_home.values 76 | away_team = df.i_away.values 77 | 78 | num_teams = len(df.i_home.drop_duplicates()) 79 | num_games = len(home_team) 80 | 81 | g = df.groupby('i_away') 82 | att_starting_points = np.log(g.away_score.mean()) 83 | g = df.groupby('i_home') 84 | def_starting_points = -np.log(g.away_score.mean()) 85 | 86 | 87 | # In[ ]: 88 | 89 | 90 | 91 | 92 | # In[5]: 93 | 94 | model = pm3.Model() 95 | with pm3.Model() as model: 96 | # global model parameters 97 | home = pm3.Normal('home', 0, .0001) 98 | tau_att = pm3.Gamma('tau_att', .1, .1) 99 | tau_def = pm3.Gamma('tau_def', .1, .1) 100 | intercept = pm3.Normal('intercept', 0, .0001) 101 | 102 | # team-specific model parameters 103 | atts_star = pm3.Normal("atts_star", 104 | mu =0, 105 | tau =tau_att, 106 | shape=num_teams) 107 | defs_star = pm3.Normal("defs_star", 108 | mu =0, 109 | tau =tau_def, 110 | shape=num_teams) 111 | 112 | atts = pm3.Deterministic('atts', atts_star - tt.mean(atts_star)) 113 | defs = pm3.Deterministic('defs', defs_star - tt.mean(defs_star)) 114 | home_theta = tt.exp(intercept + home + atts[away_team] + defs[home_team]) 115 | away_theta = tt.exp(intercept + atts[away_team] + defs[home_team]) 116 | 117 | # likelihood of observed data 118 | home_points = pm3.Poisson('home_points', mu=home_theta, observed=observed_home_goals) 119 | away_points = pm3.Poisson('away_points', mu=away_theta, observed=observed_away_goals) 120 | 121 | 122 | # * We specified the model and the likelihood function 123 | # * Now we need to fit our model using the Maximum A Posteriori algorithm to decide where to start out No U Turn Sampler 124 | 125 | # In[6]: 126 | 127 | with model: 128 | 129 | start = pm3.find_MAP() 130 | step = pm3.NUTS(state=start) 131 | trace = pm3.sample(2000, step, start=start, progressbar=True) 132 | 133 | pm3.traceplot(trace) 134 | 135 | 136 | # In[ ]: 137 | 138 | 139 | 140 | -------------------------------------------------------------------------------- /rugby_analytics.md: -------------------------------------------------------------------------------- 1 | 2 | # A Hierarchical model for Rugby prediction 3 | 4 | 5 | 6 | 7 | import numpy as np 8 | import pandas as pd 9 | try: 10 | from StringIO import StringIO 11 | except ImportError: 12 | from io import StringIO 13 | %matplotlib inline 14 | import pymc3 as pm3, theano.tensor as tt 15 | 16 | :0: FutureWarning: IPython widgets are experimental and may change in the future. 17 | 18 | 19 | This is a Rugby prediction exercise. So we'll input some data 20 | 21 | 22 | data_csv = StringIO("""home_team,away_team,home_score,away_score 23 | Wales,Italy,23,15 24 | France,England,26,24 25 | Ireland,Scotland,28,6 26 | Ireland,Wales,26,3 27 | Scotland,England,0,20 28 | France,Italy,30,10 29 | Wales,France,27,6 30 | Italy,Scotland,20,21 31 | England,Ireland,13,10 32 | Ireland,Italy,46,7 33 | Scotland,France,17,19 34 | England,Wales,29,18 35 | Italy,England,11,52 36 | Wales,Scotland,51,3 37 | France,Ireland,20,22""") 38 | 39 | #The model. 40 |

The league is made up by a total of T= 6 teams, playing each other once 41 | in a season. We indicate the number of points scored by the home and the away team in the g-th game of the season (15 games) as $y_{g1}$ and $y_{g2}$ respectively.

42 |

The vector of observed counts $\mathbb{y} = (y_{g1}, y_{g2})$ is modelled as independent Poisson: 43 | $y_{gi}| \theta_{gj} \tilde\;\; Poisson(\theta_{gj})$ 44 | where the theta parameters represent the scoring intensity in the g-th game for the team playing at home (j=1) and away (j=2), respectively.

45 | 46 |

We model these parameters according to a formulation that has been used widely in the statistical literature, assuming a log-linear random effect model: 47 | $$log \theta_{g1} = home + att_{h(g)} + def_{a(g)} $$ 48 | $$log \theta_{g2} = att_{a(g)} + def_{h(g)}$$ 49 | the parameter home represents the advantage for the team hosting the game 50 | and we assume that this effect is constant for all the teams and 51 | throughout the season. 52 | 53 | 54 | 55 | 56 | 57 | df = pd.read_csv(data_csv) 58 | 59 | teams = df.home_team.unique() 60 | teams = pd.DataFrame(teams, columns=['team']) 61 | teams['i'] = teams.index 62 | 63 | df = pd.merge(df, teams, left_on='home_team', right_on='team', how='left') 64 | df = df.rename(columns = {'i': 'i_home'}).drop('team', 1) 65 | df = pd.merge(df, teams, left_on='away_team', right_on='team', how='left') 66 | df = df.rename(columns = {'i': 'i_away'}).drop('team', 1) 67 | 68 | observed_home_goals = df.home_score.values 69 | observed_away_goals = df.away_score.values 70 | 71 | home_team = df.i_home.values 72 | away_team = df.i_away.values 73 | 74 | num_teams = len(df.i_home.drop_duplicates()) 75 | num_games = len(home_team) 76 | 77 | g = df.groupby('i_away') 78 | att_starting_points = np.log(g.away_score.mean()) 79 | g = df.groupby('i_home') 80 | def_starting_points = -np.log(g.away_score.mean()) 81 | 82 | 83 | 84 | 85 | 86 | model = pm3.Model() 87 | with pm3.Model() as model: 88 | # global model parameters 89 | home = pm3.Normal('home', 0, .0001) 90 | tau_att = pm3.Gamma('tau_att', .1, .1) 91 | tau_def = pm3.Gamma('tau_def', .1, .1) 92 | intercept = pm3.Normal('intercept', 0, .0001) 93 | 94 | # team-specific model parameters 95 | atts_star = pm3.Normal("atts_star", 96 | mu =0, 97 | tau =tau_att, 98 | shape=num_teams) 99 | defs_star = pm3.Normal("defs_star", 100 | mu =0, 101 | tau =tau_def, 102 | shape=num_teams) 103 | 104 | atts = pm3.Deterministic('atts', atts_star - tt.mean(atts_star)) 105 | defs = pm3.Deterministic('defs', defs_star - tt.mean(defs_star)) 106 | home_theta = tt.exp(intercept + home + atts[away_team] + defs[home_team]) 107 | away_theta = tt.exp(intercept + atts[away_team] + defs[home_team]) 108 | 109 | # likelihood of observed data 110 | home_points = pm3.Poisson('home_points', mu=home_theta, observed=observed_home_goals) 111 | away_points = pm3.Poisson('away_points', mu=away_theta, observed=observed_away_goals) 112 | 113 | * We specified the model and the likelihood function 114 | * Now we need to fit our model using the Maximum A Posteriori algorithm to decide where to start out No U Turn Sampler 115 | 116 | 117 | with model: 118 | 119 | start = pm3.find_MAP() 120 | step = pm3.NUTS(state=start) 121 | trace = pm3.sample(2000, step, start=start, progressbar=True) 122 | 123 | pm3.traceplot(trace) 124 | 125 | [-----------------100%-----------------] 2000 of 2000 complete in 50.1 sec 126 | 127 | /Users/peadarcoyle/anaconda/lib/python3.4/importlib/_bootstrap.py:321: RuntimeWarning: numpy.ndarray size changed, may indicate binary incompatibility 128 | return f(*args, **kwds) 129 | 130 | 131 | 132 | ![png](rugby_analytics_files/rugby_analytics_9_2.png) 133 | 134 | 135 | 136 | 137 | -------------------------------------------------------------------------------- /data1.csv: -------------------------------------------------------------------------------- 1 | 2013-06-03 20:00:00,-0.0117731543 2 | 2013-06-04 20:00:00,0.002515195 3 | 2013-06-05 20:00:00,0.0019228536 4 | 2013-06-06 20:00:00,-0.0069763444999999995 5 | 2013-06-07 20:00:00,-0.0079239793 6 | 2013-06-10 20:00:00,0.0040335686 7 | 2013-06-11 20:00:00,-3.9743e-06 8 | 2013-06-12 20:00:00,-0.0014610235 9 | 2013-06-13 20:00:00,0.0045271155000000006 10 | 2013-06-14 20:00:00,0.0015186098 11 | 2013-06-17 20:00:00,0.0022362983 12 | 2013-06-18 20:00:00,0.0003713468 13 | 2013-06-19 20:00:00,-0.0025824897 14 | 2013-06-20 20:00:00,0.0111492028 15 | 2013-06-21 20:00:00,-0.0053531166 16 | 2013-06-24 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21:00:00,-0.012537063999999999 305 | 2013-01-04 21:00:00,0.0034358403000000004 306 | 2013-01-07 21:00:00,-0.0065758378 307 | 2013-01-08 21:00:00,-0.0066396560999999995 308 | 2013-01-09 21:00:00,0.0033420179 309 | 2013-01-10 21:00:00,0.012497524599999999 310 | 2013-01-11 21:00:00,-0.003275557 311 | 2013-01-14 21:00:00,0.002488554 312 | 2013-01-15 21:00:00,-0.0060035009 313 | 2013-01-16 21:00:00,-0.0050828427 314 | 2013-01-17 21:00:00,0.010340289 315 | 2013-01-18 21:00:00,-0.0008555914999999999 316 | 2013-01-22 21:00:00,0.0015284717000000002 317 | 2013-01-23 21:00:00,-0.00516195 318 | 2013-01-24 21:00:00,0.0031973196000000003 319 | 2013-01-25 21:00:00,0.0110394051 320 | 2013-01-28 21:00:00,-0.0013776357 321 | 2013-01-29 21:00:00,0.0019313507 322 | 2013-01-30 21:00:00,-0.0002753754 323 | 2013-01-31 21:00:00,-0.011376136799999999 324 | 2013-02-01 21:00:00,0.008101302500000001 325 | 2013-02-04 21:00:00,-0.0333020887 326 | 2013-02-05 21:00:00,0.0117286667 327 | 2013-02-06 21:00:00,-0.006228251999999999 328 | 2013-02-07 21:00:00,-0.0112126906 329 | 2013-02-08 21:00:00,0.0043228475 330 | 2013-02-11 21:00:00,-0.0018451460999999998 331 | 2013-02-12 21:00:00,0.0069759259 332 | 2013-02-13 21:00:00,0.0033936248000000003 333 | 2013-02-14 21:00:00,-0.0029656978000000005 334 | 2013-02-15 21:00:00,-0.0042651534 335 | 2013-02-19 21:00:00,0.0069935179 336 | 2013-02-20 21:00:00,-0.017362370800000002 337 | 2013-02-21 21:00:00,-0.009705589 338 | 2013-02-22 21:00:00,0.0100017509 339 | 2013-02-25 21:00:00,-0.0199546999 340 | 2013-02-26 21:00:00,0.0056868622 341 | 2013-02-27 21:00:00,0.0143892037 342 | 2013-02-28 21:00:00,-0.0012443063 343 | 2013-03-01 21:00:00,-0.0026412158 344 | 2013-03-04 21:00:00,0.0028980414 345 | 2013-03-05 21:00:00,0.0136511858 346 | 2013-03-06 21:00:00,0.0014253755 347 | 2013-03-07 21:00:00,0.0029939361 348 | 2013-03-08 21:00:00,0.008563522300000001 349 | 2013-03-11 20:00:00,0.0008248216 350 | 2013-03-12 20:00:00,-0.0005332683 351 | 2013-03-13 20:00:00,0.0033953359999999997 352 | 2013-03-14 20:00:00,0.0073961220000000015 353 | 2013-03-15 20:00:00,-0.0035509460999999997 354 | 2013-03-18 20:00:00,-0.0042377949 355 | 2013-03-19 20:00:00,-0.0018861066 356 | 2013-03-20 20:00:00,0.0093999005 357 | 2013-03-21 20:00:00,-0.0084003294 358 | 2013-03-22 20:00:00,0.0033885971 359 | 2013-03-25 20:00:00,-0.0023157622 360 | 2013-03-26 20:00:00,0.006431485000000001 361 | 2013-03-27 20:00:00,0.0015375363 362 | 2013-03-28 20:00:00,0.0059967810000000005 363 | 2013-04-01 20:00:00,-0.0097284075 364 | 2013-04-02 20:00:00,-0.0035636003 365 | 2013-04-03 20:00:00,-0.0161902102 366 | 2013-04-04 20:00:00,0.006091415500000001 367 | 2013-04-05 20:00:00,-0.0011230186 368 | 2013-04-08 20:00:00,0.007869968 369 | 2013-04-10 20:00:00,0.013725526799999999 370 | 2013-04-11 20:00:00,0.0039231603 371 | 2013-04-12 20:00:00,-0.0034789212000000003 372 | 2013-04-15 20:00:00,-0.0325673449 373 | 2013-04-16 20:00:00,0.016263364500000002 374 | 2013-04-17 20:00:00,-0.015954458600000002 375 | 2013-04-18 20:00:00,-0.0060304936 376 | 2013-04-19 20:00:00,0.0086744912 377 | 2013-04-22 20:00:00,0.0024508177 378 | 2013-04-23 20:00:00,0.0053915384000000005 379 | 2013-04-24 20:00:00,0.0029657654999999997 380 | 2013-04-25 20:00:00,0.0014013685 381 | 2013-04-26 20:00:00,0.001945817 382 | 2013-04-29 20:00:00,0.0029080614 383 | 2013-04-30 20:00:00,0.0086710515 384 | 2013-05-01 20:00:00,-0.0077172534 385 | 2013-05-02 20:00:00,0.0063615259000000006 386 | 2013-05-03 20:00:00,-0.0029565615999999997 387 | 2013-05-06 20:00:00,0.0021784307999999997 388 | 2013-05-07 20:00:00,0.0040311564 389 | 2013-05-08 20:00:00,0.0037063922 390 | 2013-05-09 20:00:00,-0.0034516666999999997 391 | 2013-05-10 20:00:00,-0.0024982466 392 | 2013-05-13 20:00:00,-0.0021276349 393 | 2013-05-14 20:00:00,0.011402481899999999 394 | 2013-05-15 20:00:00,0.0040787799 395 | 2013-05-16 20:00:00,-0.0047924962 396 | 2013-05-17 20:00:00,0.0101356385 397 | 2013-05-20 20:00:00,0.0004540243 398 | 2013-05-21 20:00:00,0.001860655 399 | 2013-05-22 20:00:00,-0.017303663 400 | 2013-05-23 20:00:00,-0.0006914274 401 | 2013-05-24 20:00:00,-0.0038746727 402 | 2013-05-28 20:00:00,0.0075016495000000015 403 | 2013-05-29 20:00:00,-0.0082731042 404 | 2013-05-30 20:00:00,0.0076005977 405 | 2013-05-31 20:00:00,-0.0094290804 406 | 2013-06-03 20:00:00,-0.0031110336 407 | 2013-06-04 20:00:00,-0.0074990974 408 | 2013-06-05 20:00:00,-0.0127650086 409 | 2013-06-06 20:00:00,0.011694099199999999 410 | 2013-06-07 20:00:00,0.0093975024 411 | 2013-06-10 20:00:00,0.0006051507000000001 412 | 2013-06-11 20:00:00,-0.0119096077 413 | 2013-06-12 20:00:00,-0.0096048587 414 | 2013-06-13 20:00:00,0.0181599929 415 | 2013-06-14 20:00:00,-0.0038753807 416 | 2013-06-17 20:00:00,0.0059528691 417 | 2013-06-18 20:00:00,0.0080610401 418 | 2013-06-19 20:00:00,-0.0145140226 419 | 2013-06-20 20:00:00,-0.0265006267 420 | 2013-06-21 20:00:00,-0.0061671142000000005 421 | 2013-06-24 20:00:00,-0.011004859799999999 422 | 2013-06-25 20:00:00,0.0121567135 423 | 2013-06-26 20:00:00,0.00765198 424 | 2013-06-27 20:00:00,0.014226494099999999 425 | 2013-06-28 20:00:00,-0.0046914427 426 | 2013-07-01 20:00:00,0.013093211499999998 427 | 2013-07-02 20:00:00,-0.0015508794000000002 428 | 2013-07-03 17:00:00,0.0007531095 429 | 2013-07-05 20:00:00,0.0127461929 430 | 2013-07-08 20:00:00,0.0015790268 431 | 2013-07-09 20:00:00,0.0115458178 432 | 2013-07-10 20:00:00,-0.000275037 433 | 2013-07-11 20:00:00,0.0129761451 434 | 2013-07-12 20:00:00,0.0030327377 435 | 2013-07-15 20:00:00,0.003745614 436 | 2013-07-16 20:00:00,-0.006833840799999999 437 | 2013-07-17 20:00:00,0.0039383890000000005 438 | 2013-07-18 20:00:00,0.009108433 439 | 2013-07-19 20:00:00,0.0013405275 440 | 2013-07-22 20:00:00,0.0039715741 441 | 2013-07-23 20:00:00,0.0007556142999999999 442 | 2013-07-24 20:00:00,-0.008483139 443 | 2013-07-25 20:00:00,0.0040314903 444 | 2013-07-26 20:00:00,-0.0050414356000000006 445 | 2013-07-29 20:00:00,-0.0038114455 446 | 2013-07-30 20:00:00,0.0029257862 447 | 2013-07-31 20:00:00,0.0072976155 448 | 2013-08-01 20:00:00,0.0205401475 449 | 2013-08-02 20:00:00,-0.0034490511000000003 450 | 2013-08-05 20:00:00,0.0004819098 451 | 2013-08-06 20:00:00,-0.0108158522 452 | 2013-08-07 20:00:00,-0.0072598975 453 | 2013-08-08 20:00:00,0.0047266881 454 | 2013-08-09 20:00:00,0.0007544875 455 | 2013-08-12 20:00:00,0.0027052377000000003 456 | 2013-08-13 20:00:00,-0.0008845702000000002 457 | 2013-08-14 20:00:00,-0.0066401502 458 | 2013-08-15 20:00:00,-0.0177808671 459 | 2013-08-16 20:00:00,-0.0029490695 460 | 2013-08-19 20:00:00,-0.0064161339 461 | 2013-08-20 20:00:00,0.012411351299999998 462 | 2013-08-21 20:00:00,-0.007871219399999999 463 | 2013-08-22 20:00:00,0.0108517975 464 | 2013-08-23 20:00:00,-0.0006084998 465 | 2013-08-26 20:00:00,-0.0017999384 466 | 2013-08-27 20:00:00,-0.0227107361 467 | 2013-08-28 20:00:00,0.0011011763 468 | 2013-08-29 20:00:00,0.0015255910999999998 469 | 2013-08-30 20:00:00,-0.0141135819 470 | 2013-09-03 20:00:00,0.0031745531 471 | 2013-09-04 20:00:00,0.0085207776 472 | 2013-09-05 20:00:00,0.000464679 473 | 2013-09-06 20:00:00,0.0051394238 474 | 2013-09-09 20:00:00,0.0137954876 475 | 2013-09-10 20:00:00,0.012271804499999999 476 | 2013-09-11 20:00:00,0.0040269952 477 | 2013-09-12 20:00:00,-0.0037466044 478 | 2013-09-13 20:00:00,-0.0025094026 479 | 2013-09-16 20:00:00,0.004825837800000001 480 | 2013-09-17 20:00:00,0.0077820895 481 | 2013-09-18 20:00:00,0.0101489094 482 | 2013-09-19 20:00:00,-0.0022278006 483 | 2013-09-20 20:00:00,-0.013469266399999999 484 | 2013-09-23 20:00:00,-0.0019064119 485 | 2013-09-24 20:00:00,-0.0010127403 486 | 2013-09-25 20:00:00,0.0010861923 487 | 2013-09-26 20:00:00,0.0053325842000000005 488 | 2013-09-27 20:00:00,-0.0070301692 489 | 2013-09-30 20:00:00,-0.0064664711 490 | 2013-10-01 20:00:00,0.012234471799999999 491 | 2013-10-02 20:00:00,0.0002379988 492 | 2013-10-03 20:00:00,-0.006284721899999999 493 | 2013-10-04 20:00:00,0.002767869 494 | 2013-10-07 20:00:00,-0.0077147617 495 | 2013-10-08 20:00:00,-0.006413878100000001 496 | 2013-10-09 20:00:00,0.0029842634 497 | 2013-10-10 20:00:00,0.0220065522 498 | 2013-10-11 20:00:00,-0.0015434623 499 | 2013-10-14 20:00:00,0.0042999468 500 | 2013-10-15 20:00:00,-0.0035259711999999998 501 | 2013-10-16 20:00:00,0.0096043579 502 | 2013-10-17 20:00:00,0.0115157269 503 | 2013-10-18 20:00:00,0.0054448205 504 | 2013-10-21 20:00:00,-0.0004923032 505 | 2013-10-22 20:00:00,0.0110822773 506 | 2013-10-23 20:00:00,-0.0075507779000000014 507 | 2013-10-24 20:00:00,0.0068719459999999994 508 | 2013-10-25 20:00:00,0.0002437516 509 | 2013-10-28 20:00:00,-0.0060923049000000005 510 | 2013-10-29 20:00:00,0.0061296486 511 | 2013-10-30 20:00:00,-0.005604920500000001 512 | 2013-10-31 20:00:00,0.0008628093000000001 513 | 2013-11-01 20:00:00,-0.006121362700000001 514 | 2013-11-04 21:00:00,0.0039418013000000005 515 | 2013-11-05 21:00:00,-0.0144783216 516 | 2013-11-06 21:00:00,0.0119520187 517 | 2013-11-07 21:00:00,-0.0209150559 518 | 2013-11-08 21:00:00,-0.0019577251 519 | 2013-11-11 21:00:00,0.003626402 520 | 2013-11-12 21:00:00,-0.0073256519000000015 521 | 2013-11-13 21:00:00,0.0024265657 522 | 2013-11-14 21:00:00,0.0033952595 523 | 2013-11-15 21:00:00,0.0071357723 524 | 2013-11-18 21:00:00,0.0026281537 525 | 2013-11-19 21:00:00,-0.0046450483 526 | 2013-11-20 21:00:00,-0.0115998985 527 | 2013-11-21 21:00:00,0.0065463609 528 | 2013-11-22 21:00:00,0.005860334 529 | 2013-11-25 21:00:00,-0.0019651924 530 | 2013-11-26 21:00:00,0.0035713515 531 | 2013-11-27 21:00:00,0.0025775865 532 | 2013-11-29 18:00:00,-0.0042687485 533 | 2013-12-02 21:00:00,-0.0070605551 534 | 2013-12-03 21:00:00,-0.013485926200000001 535 | 2013-12-04 21:00:00,-0.008823546 536 | 2013-12-05 21:00:00,-0.0089020941 537 | 2013-12-06 21:00:00,0.0172050596 538 | 2013-12-09 21:00:00,0.0007462082000000001 539 | 2013-12-10 21:00:00,-0.006462315400000001 540 | 2013-12-11 21:00:00,-0.0072548503 541 | 2013-12-12 21:00:00,-0.007055872400000001 542 | 2013-12-13 21:00:00,0.0015227167000000002 543 | 2013-12-16 21:00:00,0.0167244176 544 | 2013-12-17 21:00:00,-0.007975424200000001 545 | 2013-12-18 21:00:00,0.017586500300000002 546 | 2013-12-19 21:00:00,0.003579959 547 | 2013-12-20 21:00:00,0.001722091 548 | 2013-12-23 21:00:00,0.0111743485 549 | 2013-12-24 18:00:00,0.0029145131 550 | 2013-12-26 21:00:00,0.007628364 551 | 2013-12-27 21:00:00,0.0044462328 552 | 2013-12-30 21:00:00,0.0050247339 553 | 2013-12-31 21:00:00,0.002142691 554 | 2014-01-02 21:00:00,-0.0285318854 555 | 2014-01-03 21:00:00,-0.0015770543 556 | 2014-01-06 21:00:00,-0.0005311893 557 | 2014-01-07 21:00:00,0.0113095533 558 | 2014-01-08 21:00:00,-0.0010398445 559 | 2014-01-09 21:00:00,-0.0005079338 560 | 2014-01-10 21:00:00,0.0092132718 561 | 2014-01-13 21:00:00,-0.0107119621 562 | 2014-01-14 21:00:00,0.0128046054 563 | 2014-01-15 21:00:00,0.009692795 564 | 2014-01-16 21:00:00,-0.0036258573 565 | 2014-01-17 21:00:00,-0.0106646677 566 | 2014-01-21 21:00:00,0.0052630062 567 | 2014-01-22 21:00:00,0.0023340895000000003 568 | 2014-01-23 21:00:00,-0.005414414100000001 569 | 2014-01-24 21:00:00,-0.029578808600000006 570 | 2014-01-27 21:00:00,-0.0066238067 571 | 2014-01-28 21:00:00,0.0110260099 572 | 2014-01-29 21:00:00,-0.0127672306 573 | 2014-01-30 21:00:00,0.011409653 574 | 2014-01-31 21:00:00,-0.0113605368 575 | 2014-02-03 21:00:00,-0.0348984611 576 | 2014-02-04 21:00:00,0.0119811181 577 | 2014-02-05 21:00:00,-0.0035603603000000004 578 | 2014-02-06 21:00:00,0.014206228700000002 579 | 2014-02-07 21:00:00,0.010696436799999999 580 | 2014-02-10 21:00:00,0.0022258389000000003 581 | 2014-02-11 21:00:00,0.009973078 582 | 2014-02-12 21:00:00,0.005767097099999999 583 | 2014-02-13 21:00:00,0.0068890843999999994 584 | 2014-02-14 21:00:00,0.0046295827 585 | 2014-02-18 21:00:00,0.005709334399999999 586 | 2014-02-19 21:00:00,-0.006771758 587 | 2014-02-20 21:00:00,0.007103708800000001 588 | 2014-02-21 21:00:00,0.0010945244999999999 589 | 2014-02-24 21:00:00,0.0046567665 590 | 2014-02-25 21:00:00,-0.0013300955999999999 591 | 2014-02-26 21:00:00,0.0046817146 592 | 2014-02-27 21:00:00,0.0039769821 593 | 2014-02-28 21:00:00,0.0014419918 594 | 2014-03-03 21:00:00,-0.0013392284 595 | 2014-03-04 21:00:00,0.0036715428999999997 596 | 2014-03-05 21:00:00,-0.0010365328 597 | 2014-03-06 21:00:00,-0.0033463218 598 | 2014-03-07 21:00:00,-0.0019243094 599 | 2014-03-10 20:00:00,-0.003820482 600 | 2014-03-11 20:00:00,-0.0019766075 601 | 2014-03-12 20:00:00,0.0040000502 602 | 2014-03-13 20:00:00,-0.0009019413 603 | 2014-03-14 20:00:00,-0.0012396973 604 | 2014-03-17 20:00:00,-0.005923518500000001 605 | 2014-03-18 20:00:00,0.0063010461 606 | 2014-03-19 20:00:00,-0.0071404888000000015 607 | 2014-03-20 20:00:00,-0.0006817114 608 | 2014-03-21 20:00:00,0.0070203017 609 | 2014-03-24 20:00:00,-0.0017099178 610 | 2014-03-25 20:00:00,-0.0008137647 611 | 2014-03-26 20:00:00,-0.0015211620000000002 612 | 2014-03-27 20:00:00,0.0021503979 613 | 2014-03-28 20:00:00,-0.0005210680000000001 614 | 2014-03-31 20:00:00,0.0030134142 615 | 2014-04-01 20:00:00,-0.006100284399999999 616 | 2014-04-02 20:00:00,-0.0057710732 617 | 2014-04-03 20:00:00,0.0028555517 618 | 2014-04-04 20:00:00,0.0053876173000000005 619 | 2014-04-07 20:00:00,0.008187326 620 | 2014-04-08 20:00:00,0.0047709923000000005 621 | 2014-04-09 20:00:00,-0.0079812491 622 | 2014-04-10 20:00:00,0.0141559393 623 | 2014-04-11 20:00:00,0.0124520495 624 | 2014-04-14 20:00:00,-0.0028763563 625 | 2014-04-15 20:00:00,0.0102454939 626 | 2014-04-16 20:00:00,0.0036627872 627 | 2014-04-17 20:00:00,-0.0184629269 628 | 2014-04-21 20:00:00,0.0005996882 629 | 2014-04-22 20:00:00,0.008790155000000001 630 | 2014-04-23 20:00:00,0.0066341888 631 | 2014-04-24 20:00:00,0.0023607641 632 | 2014-04-25 20:00:00,0.0026496045 633 | 2014-04-28 20:00:00,-0.0093959205 634 | 2014-04-29 20:00:00,-0.0026676678 635 | 2014-04-30 20:00:00,0.0044600605 636 | 2014-05-01 20:00:00,0.0164706937 637 | 2014-05-02 20:00:00,0.0109642518 638 | 2014-05-05 20:00:00,-0.0083499526 639 | 2014-05-06 20:00:00,0.006968492200000001 640 | 2014-05-07 20:00:00,-0.0081697613 641 | 2014-05-08 20:00:00,-0.0092061214 642 | 2014-05-09 20:00:00,-0.005607888199999999 643 | 2014-05-12 20:00:00,0.00017601799999999998 644 | 2014-05-13 20:00:00,0.0077817486 645 | 2014-05-14 20:00:00,0.0132378435 646 | 2014-05-15 20:00:00,0.0028844245 647 | 2014-05-16 20:00:00,-0.000619779 648 | 2014-05-19 20:00:00,-0.010723166899999999 649 | 2014-05-20 20:00:00,-0.008798949399999999 650 | 2014-05-21 20:00:00,0.0003023111 651 | 2014-05-22 20:00:00,0.0013444588 652 | 2014-05-23 20:00:00,-0.0062329965 653 | 2014-05-27 20:00:00,-0.0122414754 654 | 2014-05-28 20:00:00,0.007910544399999999 655 | 2014-05-29 20:00:00,-0.0018313071 656 | 2014-05-30 20:00:00,-0.020836574099999998 657 | 2014-06-02 20:00:00,-0.0017398722 658 | 2014-06-03 20:00:00,0.006703479500000001 659 | 2014-06-04 20:00:00,-0.010920501 660 | 2014-06-05 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0.001353 1518 | 0.006872 1519 | -0.000929 1520 | 0.007771 1521 | -0.003206 1522 | -0.002089 1523 | 0.012106 1524 | -0.009797 1525 | -0.013609 1526 | 0.004989 1527 | -0.002627 1528 | 0.003651 1529 | 0.000678 1530 | -0.008371 1531 | 0.001837 1532 | 0.012555 1533 | -0.002581 1534 | 0.005027 1535 | 0.010667 1536 | -0.00488 1537 | -0.005468 1538 | 0.009757 1539 | -0.004468 1540 | -0.004132 1541 | -0.002571 1542 | -0.002727 1543 | -0.001665 1544 | 0.00402 1545 | 0.001084 1546 | 2.6e-05 1547 | 0.009633 1548 | -0.005943 1549 | 0.001688 1550 | 0.003336 1551 | 0.001714 1552 | -0.00835 1553 | -0.00577 1554 | -0.014632 1555 | -0.015223 1556 | 0.012459 1557 | -0.014349 1558 | 0.005622 1559 | 0.011749 1560 | -0.001272 1561 | -0.011173 1562 | -0.012957 1563 | -0.001323 1564 | -0.002394 1565 | 0.016365 1566 | -0.001018 1567 | 0.013004 1568 | 0.004035 1569 | -0.0007 1570 | 0.005292 1571 | 0.008514 1572 | 0.007672 1573 | -0.002094 1574 | -0.006645 1575 | -0.00106 1576 | 0.00516 1577 | -0.013761 1578 | -0.001124 1579 | 0.000593 1580 | 0.005111 1581 | 0.001066 1582 | -0.015557 1583 | 0.005312 1584 | 0.014091 1585 | 0.000587 1586 | -0.004445 1587 | 0.002272 1588 | -0.013794 1589 | -0.00759 1590 | -0.005916 1591 | 0.009202 1592 | 0.001843 1593 | 0.001768 1594 | -0.006722 1595 | -0.013725 1596 | -0.010539 1597 | 0.007662 1598 | 0.00167 1599 | -0.000765 1600 | -0.000674 1601 | -0.010586 1602 | 0.006816 1603 | -0.002574 1604 | 0.000468 1605 | 0.004012 1606 | 0.001691 1607 | 0.016103 1608 | 0.001698 1609 | 0.005686 1610 | -0.000535 1611 | 0.000464 1612 | 0.00338 1613 | -0.007422 1614 | 0.005247 1615 | 0.015964 1616 | 0.001543 1617 | -0.009499 1618 | 0.004543 1619 | -0.009837 1620 | 0.005971 1621 | 0.001369 1622 | -0.001332 1623 | 0.002623 1624 | -0.004158 1625 | 0.003636 1626 | 0.008506 1627 | -0.00298 1628 | -0.005453 1629 | -0.000952 1630 | 0.002514 1631 | 0.004083 1632 | -0.01043 1633 | -0.003153 1634 | -0.008148 1635 | 0.001899 1636 | -0.008244 1637 | 0.003336 1638 | 0.001383 1639 | 0.000708 1640 | -0.003291 1641 | -0.0043 1642 | -0.004789 1643 | -0.000444 1644 | 0.007057 1645 | -0.01334 1646 | 0.002705 1647 | -0.0097 1648 | -0.00196 1649 | 0.009925 1650 | 0.000538 1651 | 0.004573 1652 | 0.001172 1653 | 0.004447 1654 | -0.006262 1655 | -0.000963 1656 | -0.01632 1657 | -0.01548 1658 | 0.001174 1659 | 0.012973 1660 | -0.003011 1661 | -0.011675 1662 | 0.001476 1663 | 0.013655 1664 | 0.002195 1665 | 0.012443 1666 | -0.003597 1667 | 0.006524 1668 | -0.00243 1669 | 0.000465 1670 | 0.008 1671 | 0.000117 1672 | 0.002425 1673 | -0.007781 1674 | 0.00463 1675 | 0.001512 1676 | 0.011212 1677 | -0.004184 1678 | 0.006887 1679 | -0.004485 1680 | 0.00189 1681 | 0.004953 1682 | 0.00169 1683 | 0.002229 1684 | -0.007054 1685 | 0.002793 1686 | 0.004494 1687 | -0.005626 1688 | 0.006326 1689 | -0.013937 1690 | -0.004669 1691 | 0.001578 1692 | -0.005936 1693 | 0.005926 1694 | 0.00427 1695 | -0.000197 1696 | 0.01518 1697 | 0.003243 1698 | -0.000607 1699 | 0.006672 1700 | -0.009982 1701 | -0.007526 1702 | 0.002005 1703 | -0.002267 1704 | -0.0073 1705 | -0.009302 1706 | 0.00445 1707 | 0.005251 1708 | -0.009685 1709 | 0.000389 1710 | 0.002564 1711 | -0.009715 1712 | -0.000848 1713 | 0.01487 1714 | 0.012879 1715 | 0.001812 1716 | 0.002448 1717 | 0.000274 1718 | 2.6e-05 1719 | 0.011198 1720 | 0.016156 1721 | 0.003873 1722 | -0.001097 1723 | -0.000695 1724 | -0.001005 1725 | 0.009089 1726 | 0.009109 1727 | -0.000304 1728 | -0.007078 1729 | 0.005538 1730 | 0.001362 1731 | -0.011161 1732 | 0.005895 1733 | -0.000254 1734 | 0.004095 1735 | 0.000753 1736 | -0.003449 1737 | -0.00403 1738 | 0.014951 1739 | -0.000872 1740 | 0.000705 1741 | -0.000772 1742 | -0.011073 1743 | 0.004876 1744 | 0.005436 1745 | -0.001042 1746 | 0.008989 1747 | 0.00392 1748 | 0.001944 1749 | -0.002081 1750 | -0.007471 1751 | 0.00036 1752 | 0.00904 1753 | 0.003417 1754 | 0.000462 1755 | -0.004305 1756 | 0.007154 1757 | -7.4e-05 1758 | 8.2e-05 1759 | -0.001343 1760 | -0.008119 1761 | -0.011671 1762 | -0.003627 1763 | 0.003505 1764 | -0.001431 1765 | 0.003422 1766 | -0.006099 1767 | 0.003981 1768 | -0.00863 1769 | 0.006004 1770 | 0.009674 1771 | -0.00949 1772 | -0.007783 1773 | -0.006414 1774 | -0.003527 1775 | 0.004004 1776 | 0.004844 1777 | 0.000408 1778 | -0.002715 1779 | 0.00846 1780 | 0.00689 1781 | 0.003178 1782 | -0.002765 1783 | 0.011043 1784 | -0.001088 1785 | 0.000482 1786 | -0.008575 1787 | 0.004211 1788 | 0.006925 1789 | 0.000696 1790 | 0.003299 1791 | 0.000181 1792 | -0.007923 1793 | 0.000699 1794 | -0.014505 1795 | 0.005607 1796 | 0.007893 1797 | 0.009306 1798 | -0.006414 1799 | 0.005658 1800 | -0.000272 1801 | 0.000322 1802 | 0.009624 1803 | 0.00261 1804 | -0.004798 1805 | -0.010185 1806 | 0.001855 1807 | -0.007583 1808 | 0.005624 1809 | -0.007523 1810 | -0.008081 1811 | 0.001801 1812 | -0.00047 1813 | -0.004934 1814 | -0.010196 1815 | 0.000699 1816 | -0.000946 1817 | 0.002441 1818 | -0.007596 1819 | 0.013772 1820 | -0.000694 1821 | -0.006496 1822 | 0.002728 1823 | 0.00448 1824 | 0.002268 1825 | 0.00597 1826 | -0.008344 1827 | 8e-06 1828 | 0.005545 1829 | -0.011761 1830 | -0.010001 1831 | -0.01672 1832 | 0.00294 1833 | 0.005933 1834 | -0.013254 1835 | 0.019736 1836 | -0.00675 1837 | 0.008662 1838 | -0.008914 1839 | 0.004028 1840 | -0.01138 1841 | 0.011922 1842 | 0.00459 1843 | -0.000851 1844 | 0.01247 1845 | -0.002568 1846 | -0.001091 1847 | 0.006394 1848 | -0.010705 1849 | 0.004193 1850 | -0.010033 1851 | -0.00458 1852 | 0.010086 1853 | 0.006957 1854 | 0.010018 1855 | 0.004656 1856 | -0.001511 1857 | 0.003851 1858 | 0.000175 1859 | -0.0034 1860 | 0.006394 1861 | 0.000968 1862 | -0.006072 1863 | 0.009039 1864 | 0.00168 1865 | -0.006867 1866 | 0.001245 1867 | -0.000208 1868 | -0.002163 1869 | 0.005239 1870 | -0.002348 1871 | 0.002261 1872 | 0.002573 1873 | 0.002217 1874 | 0.00363 1875 | 0.004954 1876 | -0.000706 1877 | -0.002047 1878 | 0.000222 1879 | -0.010833 1880 | -0.007628 1881 | -0.000738 1882 | 0.009137 1883 | -0.001431 1884 | -0.0071 1885 | 0.00261 1886 | 0.008832 1887 | -0.00834 1888 | 0.002452 1889 | 0.011679 1890 | 0.006254 1891 | 0.002271 1892 | 0.000883 1893 | 0.002624 1894 | 0.001157 1895 | -0.005529 1896 | 0.006731 1897 | 0.004758 1898 | -0.006606 1899 | 0.005411 1900 | -0.003769 1901 | 0.001733 1902 | 0.004572 1903 | 0.005603 1904 | -0.00767 1905 | 0.000947 1906 | 0.007099 1907 | 0.000739 1908 | -0.007373 1909 | -0.007638 1910 | -0.002682 1911 | 0.006744 1912 | -0.001827 1913 | 0.007061 1914 | -0.005994 1915 | 0.002828 1916 | -0.011775 1917 | 0.000738 1918 | -0.000999 1919 | 0.000566 1920 | 0.001656 1921 | -0.003405 1922 | -0.006554 1923 | 0.002314 1924 | -0.006012 1925 | 0.005958 1926 | -0.003192 1927 | 0.009864 1928 | 0.001032 1929 | -0.002922 1930 | 0.012618 1931 | 0.002407 1932 | -0.003793 1933 | 0.007964 1934 | -0.000741 1935 | -0.007544 1936 | -0.003281 1937 | 0.000464 1938 | 0.008291 1939 | -0.005565 1940 | -0.007863 1941 | -0.009121 1942 | 0.003652 1943 | 0.000551 1944 | 0.000279 1945 | 2.4e-05 1946 | 0.001011 1947 | 0.008866 1948 | 0.00092 1949 | -0.001717 1950 | -0.009969 1951 | -0.014887 1952 | -0.004095 1953 | 0.003701 1954 | -0.007166 1955 | -0.002071 1956 | -0.006068 1957 | -0.000713 1958 | 0.008267 1959 | 0.002974 1960 | -0.010049 1961 | 0.014955 1962 | -0.015019 1963 | 0.001519 1964 | 0.016777 1965 | -0.002367 1966 | -0.004312 1967 | -0.010475 1968 | 0.016549 1969 | 0.007176 1970 | -0.003521 1971 | 0.009977 1972 | 0.004264 1973 | 0.000163 1974 | 0.002188 1975 | -0.003451 1976 | 0.00169 1977 | 0.008446 1978 | 0.003054 1979 | -0.000777 1980 | -0.00385 1981 | 0.00179 1982 | 0.009413 1983 | 0.004401 1984 | 0.005271 1985 | 0.005084 1986 | 0.003472 1987 | 0.002085 1988 | -0.008507 1989 | 1.5e-05 1990 | -0.006361 1991 | 0.012157 1992 | 0.000324 1993 | -0.002363 1994 | 0.001275 1995 | -0.005009 1996 | -0.001216 1997 | 0.00281 1998 | 0.000841 1999 | 0.005553 2000 | 0.004189 2001 | -0.001414 2002 | -0.002848 2003 | -0.005839 2004 | -0.000238 2005 | 0.002516 2006 | 0.00422 2007 | 0.000425 2008 | -0.009553 2009 | 0.001297 2010 | -0.00298 2011 | -0.004886 2012 | 0.01643 2013 | 0.003672 2014 | 1.5e-05 2015 | 0.009399 2016 | 0.003656 2017 | -0.000356 2018 | 0.003481 2019 | -0.006274 2020 | 0.001205 2021 | -0.003634 2022 | -0.003897 2023 | 0.005563 2024 | -0.018326 2025 | 0.001847 2026 | 0.002405 2027 | -0.00172 2028 | 0.007235 2029 | 0.007763 2030 | 0.001152 2031 | -0.003983 2032 | 0.001859 2033 | -0.00906 2034 | -0.005358 2035 | 0.000783 2036 | -0.008094 2037 | 0.008662 2038 | -0.001477 2039 | 0.002539 2040 | -0.003259 2041 | 0.010032 2042 | 0.003504 2043 | 0.007328 2044 | -0.001659 2045 | -0.003262 2046 | 0.007505 2047 | -0.003775 2048 | 0.001273 2049 | 0.003637 2050 | -0.0104 2051 | 0.008261 2052 | -0.001626 2053 | -0.001481 2054 | -0.006968 2055 | -0.001861 2056 | 0.002029 2057 | -0.00488 2058 | 0.007349 2059 | 0.001989 2060 | 0.010396 2061 | 0.004269 2062 | 0.001772 2063 | 0.00147 2064 | -0.001659 2065 | -0.006014 2066 | 0.00602 2067 | -0.002582 2068 | 0.000983 2069 | -0.001028 2070 | -0.006438 2071 | 0.007469 2072 | -0.002026 2073 | -0.004168 2074 | 0.002301 2075 | 0.006256 2076 | 0.004311 2077 | -0.001921 2078 | -0.010343 2079 | 0.000849 2080 | -0.007735 2081 | 0.001204 2082 | 0.000776 2083 | -0.002939 2084 | 0.017365 2085 | 0.001743 2086 | 0.001168 2087 | -0.000137 2088 | -0.002417 2089 | -0.004869 2090 | 0.002819 2091 | 0.003301 2092 | 0.000679 2093 | -0.004135 2094 | 0.006144 2095 | -0.004081 2096 | 0.003364 2097 | 0.010295 2098 | -0.000829 2099 | 0.000362 2100 | -0.001728 2101 | -0.012798 2102 | -0.011241 2103 | 0.002524 2104 | -0.001869 2105 | -0.016841 2106 | -0.006699 2107 | 0.004136 2108 | -0.003914 2109 | -0.004349 2110 | 0.001583 2111 | 0.01137 2112 | 0.005719 2113 | -0.015873 2114 | 0.008135 2115 | 0.012298 2116 | 0.001952 2117 | -0.017799 2118 | -0.001138 2119 | -0.006092 2120 | 0.001417 2121 | -0.004475 2122 | -0.012696 2123 | -0.010279 2124 | 0.005189 2125 | 0.021235 2126 | -0.003677 2127 | -0.009108 2128 | -1.6e-05 2129 | 0.00974 2130 | -0.00527 2131 | -0.000883 2132 | 0.004869 2133 | -0.009083 2134 | 0.005487 2135 | 0.021565 2136 | -0.002097 2137 | 0.007864 2138 | -0.007248 2139 | 0.002494 2140 | -0.006749 2141 | 0.001469 2142 | 0.004087 2143 | -0.010938 2144 | -0.012958 2145 | -0.004902 2146 | -0.001383 2147 | 0.001919 2148 | 0.018555 2149 | -0.008477 2150 | -0.007076 2151 | 0.016625 2152 | 0.00632 2153 | -0.000378 2154 | -0.004099 2155 | 0.012151 2156 | -0.001478 2157 | -0.004496 2158 | 0.006003 2159 | 0.001345 2160 | -0.00071 2161 | -0.002806 2162 | -0.003362 2163 | -0.004349 2164 | 0.004628 2165 | -0.003986 2166 | 0.00116 2167 | 0.013696 2168 | 0.007661 2169 | 0.001582 2170 | 0.003714 2171 | -0.00367 2172 | 0.001001 2173 | -0.004488 2174 | 0.002374 2175 | -0.000748 2176 | 0.005165 2177 | 0.00192 2178 | -7e-06 2179 | -0.000345 2180 | 0.005514 2181 | 0.001708 2182 | -0.009891 2183 | -0.004799 2184 | 0.003786 2185 | 0.000477 2186 | 0.010442 2187 | 0.003777 2188 | -0.001358 2189 | 0.002727 2190 | 0.000992 2191 | -0.002172 2192 | 0.005211 2193 | -0.005395 2194 | -0.002465 2195 | 0.008815 2196 | 0.007516 2197 | 0.000187 2198 | 0.001915 2199 | -0.002464 2200 | -0.003391 2201 | 0.002095 2202 | 0.012075 2203 | 0.002221 2204 | -0.002689 2205 | 0.0008 2206 | 0.002043 2207 | -0.002563 2208 | 0.009541 2209 | 0.002047 2210 | 0.002511 2211 | -0.003652 2212 | 0.0014 2213 | 0.000732 2214 | 0.001199 2215 | 0.006152 2216 | 0.000261 2217 | 0.003513 2218 | 0.004963 2219 | -0.008451 2220 | 0.000428 2221 | 7e-06 2222 | -0.007351 2223 | -0.000343 2224 | -0.002223 2225 | 0.011346 2226 | 0.002217 2227 | 0.002082 2228 | -0.005332 2229 | 0.001864 2230 | 0.002549 2231 | 0.006356 2232 | 0.002404 2233 | 0.002284 2234 | 0.001028 2235 | -0.000499 2236 | 0.001649 2237 | 0.002338 2238 | -0.003655 2239 | -0.013597 2240 | 0.003487 2241 | 0.009201 2242 | 0.000821 2243 | -0.002798 2244 | 0.008885 2245 | 0.004002 2246 | -0.001314 2247 | -0.00397 2248 | 0.001811 2249 | 0.002269 2250 | -0.001047 2251 | 0.001168 2252 | 0.008689 2253 | 0.001122 2254 | -0.00323 2255 | 0.002158 2256 | -0.001416 2257 | -0.003673 2258 | -0.005316 2259 | 0.004352 2260 | 0.007015 2261 | -0.001478 2262 | -0.004513 2263 | 2.8e-05 2264 | -0.006084 2265 | 0.00222 2266 | -0.000516 2267 | 0.00194 2268 | 0.006339 2269 | 0.004853 2270 | 0.000817 2271 | -0.000893 2272 | -0.00297 2273 | 0.002895 2274 | -0.005277 2275 | 0.003541 2276 | 0.008501 2277 | -0.011269 2278 | -0.001207 2279 | -0.001096 2280 | 0.005772 2281 | 0.006592 2282 | 0.005353 2283 | 0.001694 2284 | -0.000966 2285 | 0.000698 2286 | 0.001395 2287 | -0.001179 2288 | -0.007077 2289 | -0.003261 2290 | 0.007597 2291 | 0.007644 2292 | 0.001037 2293 | -0.000871 2294 | 0.002844 2295 | -0.001404 2296 | -0.000857 2297 | -0.003563 2298 | -0.001254 2299 | -0.034725 2300 | 0.00556 2301 | -0.002594 2302 | -0.011402 2303 | -0.009407 2304 | 0.015493 2305 | -0.002465 2306 | 0.007126 2307 | 0.000684 2308 | 0.002673 2309 | -0.020368 2310 | 0.006691 2311 | 0.003683 2312 | -0.003828 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0.004187 1425 | 0.001656 1426 | -0.0064 1427 | 0.010035 1428 | -0.00821 1429 | -0.011972 1430 | 0.00544 1431 | 0.002174 1432 | -0.00375 1433 | 0.014298 1434 | -0.003254 1435 | 0.013265 1436 | -0.003155 1437 | -0.013007 1438 | 0.006071 1439 | -0.019095 1440 | -0.006053 1441 | -0.006399 1442 | 0.00976 1443 | -0.01054 1444 | 0.02234 1445 | 0.001983 1446 | 0.009419 1447 | 0.004369 1448 | 0.004737 1449 | -0.005263 1450 | 0.004788 1451 | -0.000645 1452 | 0.007022 1453 | 0.00395 1454 | -0.002591 1455 | 0.003162 1456 | -0.010237 1457 | 0.005157 1458 | 0.001292 1459 | -0.01498 1460 | 0.003309 1461 | -0.004701 1462 | 0.002157 1463 | 0.015187 1464 | 0.00126 1465 | -0.001116 1466 | 0.0036 1467 | 0.007908 1468 | -0.005448 1469 | -0.001367 1470 | 0.005932 1471 | -0.004574 1472 | -0.005791 1473 | -0.000515 1474 | 0.011456 1475 | -0.000141 1476 | -0.007615 1477 | -0.006397 1478 | -0.009083 1479 | 0.008016 1480 | -0.008432 1481 | 0.001576 1482 | 0.016227 1483 | 0.00172 1484 | 0.004326 1485 | -0.000236 1486 | 0.011264 1487 | -0.00327 1488 | -0.001771 1489 | 0.004686 1490 | -0.007684 1491 | 0.007348 1492 | -0.008528 1493 | -0.001065 1494 | 0.011481 1495 | 0.002735 1496 | -0.005678 1497 | 0.006638 1498 | 0.001255 1499 | 0.011797 1500 | -0.000468 1501 | 0.003922 1502 | 0.002818 1503 | -0.001806 1504 | 0.00169 1505 | 0.0124 1506 | 0.000144 1507 | 0.002054 1508 | -0.003093 1509 | 0.012395 1510 | 0.001292 1511 | 0.002367 1512 | 0.004963 1513 | -0.008887 1514 | 0.004786 1515 | -0.005331 1516 | 0.008294 1517 | 0.001353 1518 | 0.006872 1519 | -0.000929 1520 | 0.007771 1521 | -0.003206 1522 | -0.002089 1523 | 0.012106 1524 | -0.009797 1525 | -0.013609 1526 | 0.004989 1527 | -0.002627 1528 | 0.003651 1529 | 0.000678 1530 | -0.008371 1531 | 0.001837 1532 | 0.012555 1533 | -0.002581 1534 | 0.005027 1535 | 0.010667 1536 | -0.00488 1537 | -0.005468 1538 | 0.009757 1539 | -0.004468 1540 | -0.004132 1541 | -0.002571 1542 | -0.002727 1543 | -0.001665 1544 | 0.00402 1545 | 0.001084 1546 | 2.6e-05 1547 | 0.009633 1548 | -0.005943 1549 | 0.001688 1550 | 0.003336 1551 | 0.001714 1552 | -0.00835 1553 | -0.00577 1554 | -0.014632 1555 | -0.015223 1556 | 0.012459 1557 | -0.014349 1558 | 0.005622 1559 | 0.011749 1560 | -0.001272 1561 | -0.011173 1562 | -0.012957 1563 | -0.001323 1564 | -0.002394 1565 | 0.016365 1566 | -0.001018 1567 | 0.013004 1568 | 0.004035 1569 | -0.0007 1570 | 0.005292 1571 | 0.008514 1572 | 0.007672 1573 | -0.002094 1574 | -0.006645 1575 | -0.00106 1576 | 0.00516 1577 | -0.013761 1578 | -0.001124 1579 | 0.000593 1580 | 0.005111 1581 | 0.001066 1582 | -0.015557 1583 | 0.005312 1584 | 0.014091 1585 | 0.000587 1586 | -0.004445 1587 | 0.002272 1588 | -0.013794 1589 | -0.00759 1590 | -0.005916 1591 | 0.009202 1592 | 0.001843 1593 | 0.001768 1594 | -0.006722 1595 | -0.013725 1596 | -0.010539 1597 | 0.007662 1598 | 0.00167 1599 | -0.000765 1600 | -0.000674 1601 | -0.010586 1602 | 0.006816 1603 | -0.002574 1604 | 0.000468 1605 | 0.004012 1606 | 0.001691 1607 | 0.016103 1608 | 0.001698 1609 | 0.005686 1610 | -0.000535 1611 | 0.000464 1612 | 0.00338 1613 | -0.007422 1614 | 0.005247 1615 | 0.015964 1616 | 0.001543 1617 | -0.009499 1618 | 0.004543 1619 | -0.009837 1620 | 0.005971 1621 | 0.001369 1622 | -0.001332 1623 | 0.002623 1624 | -0.004158 1625 | 0.003636 1626 | 0.008506 1627 | -0.00298 1628 | -0.005453 1629 | -0.000952 1630 | 0.002514 1631 | 0.004083 1632 | -0.01043 1633 | -0.003153 1634 | -0.008148 1635 | 0.001899 1636 | -0.008244 1637 | 0.003336 1638 | 0.001383 1639 | 0.000708 1640 | -0.003291 1641 | -0.0043 1642 | -0.004789 1643 | -0.000444 1644 | 0.007057 1645 | -0.01334 1646 | 0.002705 1647 | -0.0097 1648 | -0.00196 1649 | 0.009925 1650 | 0.000538 1651 | 0.004573 1652 | 0.001172 1653 | 0.004447 1654 | -0.006262 1655 | -0.000963 1656 | -0.01632 1657 | -0.01548 1658 | 0.001174 1659 | 0.012973 1660 | -0.003011 1661 | -0.011675 1662 | 0.001476 1663 | 0.013655 1664 | 0.002195 1665 | 0.012443 1666 | -0.003597 1667 | 0.006524 1668 | -0.00243 1669 | 0.000465 1670 | 0.008 1671 | 0.000117 1672 | 0.002425 1673 | -0.007781 1674 | 0.00463 1675 | 0.001512 1676 | 0.011212 1677 | -0.004184 1678 | 0.006887 1679 | -0.004485 1680 | 0.00189 1681 | 0.004953 1682 | 0.00169 1683 | 0.002229 1684 | -0.007054 1685 | 0.002793 1686 | 0.004494 1687 | -0.005626 1688 | 0.006326 1689 | -0.013937 1690 | -0.004669 1691 | 0.001578 1692 | -0.005936 1693 | 0.005926 1694 | 0.00427 1695 | -0.000197 1696 | 0.01518 1697 | 0.003243 1698 | -0.000607 1699 | 0.006672 1700 | -0.009982 1701 | -0.007526 1702 | 0.002005 1703 | -0.002267 1704 | -0.0073 1705 | -0.009302 1706 | 0.00445 1707 | 0.005251 1708 | -0.009685 1709 | 0.000389 1710 | 0.002564 1711 | -0.009715 1712 | -0.000848 1713 | 0.01487 1714 | 0.012879 1715 | 0.001812 1716 | 0.002448 1717 | 0.000274 1718 | 2.6e-05 1719 | 0.011198 1720 | 0.016156 1721 | 0.003873 1722 | -0.001097 1723 | -0.000695 1724 | -0.001005 1725 | 0.009089 1726 | 0.009109 1727 | -0.000304 1728 | -0.007078 1729 | 0.005538 1730 | 0.001362 1731 | -0.011161 1732 | 0.005895 1733 | -0.000254 1734 | 0.004095 1735 | 0.000753 1736 | -0.003449 1737 | -0.00403 1738 | 0.014951 1739 | -0.000872 1740 | 0.000705 1741 | -0.000772 1742 | -0.011073 1743 | 0.004876 1744 | 0.005436 1745 | -0.001042 1746 | 0.008989 1747 | 0.00392 1748 | 0.001944 1749 | -0.002081 1750 | -0.007471 1751 | 0.00036 1752 | 0.00904 1753 | 0.003417 1754 | 0.000462 1755 | -0.004305 1756 | 0.007154 1757 | -7.4e-05 1758 | 8.2e-05 1759 | -0.001343 1760 | -0.008119 1761 | -0.011671 1762 | -0.003627 1763 | 0.003505 1764 | -0.001431 1765 | 0.003422 1766 | -0.006099 1767 | 0.003981 1768 | -0.00863 1769 | 0.006004 1770 | 0.009674 1771 | -0.00949 1772 | -0.007783 1773 | -0.006414 1774 | -0.003527 1775 | 0.004004 1776 | 0.004844 1777 | 0.000408 1778 | -0.002715 1779 | 0.00846 1780 | 0.00689 1781 | 0.003178 1782 | -0.002765 1783 | 0.011043 1784 | -0.001088 1785 | 0.000482 1786 | -0.008575 1787 | 0.004211 1788 | 0.006925 1789 | 0.000696 1790 | 0.003299 1791 | 0.000181 1792 | -0.007923 1793 | 0.000699 1794 | -0.014505 1795 | 0.005607 1796 | 0.007893 1797 | 0.009306 1798 | -0.006414 1799 | 0.005658 1800 | -0.000272 1801 | 0.000322 1802 | 0.009624 1803 | 0.00261 1804 | -0.004798 1805 | -0.010185 1806 | 0.001855 1807 | -0.007583 1808 | 0.005624 1809 | -0.007523 1810 | -0.008081 1811 | 0.001801 1812 | -0.00047 1813 | -0.004934 1814 | -0.010196 1815 | 0.000699 1816 | -0.000946 1817 | 0.002441 1818 | -0.007596 1819 | 0.013772 1820 | -0.000694 1821 | -0.006496 1822 | 0.002728 1823 | 0.00448 1824 | 0.002268 1825 | 0.00597 1826 | -0.008344 1827 | 8e-06 1828 | 0.005545 1829 | -0.011761 1830 | -0.010001 1831 | -0.01672 1832 | 0.00294 1833 | 0.005933 1834 | -0.013254 1835 | 0.019736 1836 | -0.00675 1837 | 0.008662 1838 | -0.008914 1839 | 0.004028 1840 | -0.01138 1841 | 0.011922 1842 | 0.00459 1843 | -0.000851 1844 | 0.01247 1845 | -0.002568 1846 | -0.001091 1847 | 0.006394 1848 | -0.010705 1849 | 0.004193 1850 | -0.010033 1851 | -0.00458 1852 | 0.010086 1853 | 0.006957 1854 | 0.010018 1855 | 0.004656 1856 | -0.001511 1857 | 0.003851 1858 | 0.000175 1859 | -0.0034 1860 | 0.006394 1861 | 0.000968 1862 | -0.006072 1863 | 0.009039 1864 | 0.00168 1865 | -0.006867 1866 | 0.001245 1867 | -0.000208 1868 | -0.002163 1869 | 0.005239 1870 | -0.002348 1871 | 0.002261 1872 | 0.002573 1873 | 0.002217 1874 | 0.00363 1875 | 0.004954 1876 | -0.000706 1877 | -0.002047 1878 | 0.000222 1879 | -0.010833 1880 | -0.007628 1881 | -0.000738 1882 | 0.009137 1883 | -0.001431 1884 | -0.0071 1885 | 0.00261 1886 | 0.008832 1887 | -0.00834 1888 | 0.002452 1889 | 0.011679 1890 | 0.006254 1891 | 0.002271 1892 | 0.000883 1893 | 0.002624 1894 | 0.001157 1895 | -0.005529 1896 | 0.006731 1897 | 0.004758 1898 | -0.006606 1899 | 0.005411 1900 | -0.003769 1901 | 0.001733 1902 | 0.004572 1903 | 0.005603 1904 | -0.00767 1905 | 0.000947 1906 | 0.007099 1907 | 0.000739 1908 | -0.007373 1909 | -0.007638 1910 | -0.002682 1911 | 0.006744 1912 | -0.001827 1913 | 0.007061 1914 | -0.005994 1915 | 0.002828 1916 | -0.011775 1917 | 0.000738 1918 | -0.000999 1919 | 0.000566 1920 | 0.001656 1921 | -0.003405 1922 | -0.006554 1923 | 0.002314 1924 | -0.006012 1925 | 0.005958 1926 | -0.003192 1927 | 0.009864 1928 | 0.001032 1929 | -0.002922 1930 | 0.012618 1931 | 0.002407 1932 | -0.003793 1933 | 0.007964 1934 | -0.000741 1935 | -0.007544 1936 | -0.003281 1937 | 0.000464 1938 | 0.008291 1939 | -0.005565 1940 | -0.007863 1941 | -0.009121 1942 | 0.003652 1943 | 0.000551 1944 | 0.000279 1945 | 2.4e-05 1946 | 0.001011 1947 | 0.008866 1948 | 0.00092 1949 | -0.001717 1950 | -0.009969 1951 | -0.014887 1952 | -0.004095 1953 | 0.003701 1954 | -0.007166 1955 | -0.002071 1956 | -0.006068 1957 | -0.000713 1958 | 0.008267 1959 | 0.002974 1960 | -0.010049 1961 | 0.014955 1962 | -0.015019 1963 | 0.001519 1964 | 0.016777 1965 | -0.002367 1966 | -0.004312 1967 | -0.010475 1968 | 0.016549 1969 | 0.007176 1970 | -0.003521 1971 | 0.009977 1972 | 0.004264 1973 | 0.000163 1974 | 0.002188 1975 | -0.003451 1976 | 0.00169 1977 | 0.008446 1978 | 0.003054 1979 | -0.000777 1980 | -0.00385 1981 | 0.00179 1982 | 0.009413 1983 | 0.004401 1984 | 0.005271 1985 | 0.005084 1986 | 0.003472 1987 | 0.002085 1988 | -0.008507 1989 | 1.5e-05 1990 | -0.006361 1991 | 0.012157 1992 | 0.000324 1993 | -0.002363 1994 | 0.001275 1995 | -0.005009 1996 | -0.001216 1997 | 0.00281 1998 | 0.000841 1999 | 0.005553 2000 | 0.004189 2001 | -0.001414 2002 | -0.002848 2003 | -0.005839 2004 | -0.000238 2005 | 0.002516 2006 | 0.00422 2007 | 0.000425 2008 | -0.009553 2009 | 0.001297 2010 | -0.00298 2011 | -0.004886 2012 | 0.01643 2013 | 0.003672 2014 | 1.5e-05 2015 | 0.009399 2016 | 0.003656 2017 | -0.000356 2018 | 0.003481 2019 | -0.006274 2020 | 0.001205 2021 | -0.003634 2022 | -0.003897 2023 | 0.005563 2024 | -0.018326 2025 | 0.001847 2026 | 0.002405 2027 | -0.00172 2028 | 0.007235 2029 | 0.007763 2030 | 0.001152 2031 | -0.003983 2032 | 0.001859 2033 | -0.00906 2034 | -0.005358 2035 | 0.000783 2036 | -0.008094 2037 | 0.008662 2038 | -0.001477 2039 | 0.002539 2040 | -0.003259 2041 | 0.010032 2042 | 0.003504 2043 | 0.007328 2044 | -0.001659 2045 | -0.003262 2046 | 0.007505 2047 | -0.003775 2048 | 0.001273 2049 | 0.003637 2050 | -0.0104 2051 | 0.008261 2052 | -0.001626 2053 | -0.001481 2054 | -0.006968 2055 | -0.001861 2056 | 0.002029 2057 | -0.00488 2058 | 0.007349 2059 | 0.001989 2060 | 0.010396 2061 | 0.004269 2062 | 0.001772 2063 | 0.00147 2064 | -0.001659 2065 | -0.006014 2066 | 0.00602 2067 | -0.002582 2068 | 0.000983 2069 | -0.001028 2070 | -0.006438 2071 | 0.007469 2072 | -0.002026 2073 | -0.004168 2074 | 0.002301 2075 | 0.006256 2076 | 0.004311 2077 | -0.001921 2078 | -0.010343 2079 | 0.000849 2080 | -0.007735 2081 | 0.001204 2082 | 0.000776 2083 | -0.002939 2084 | 0.017365 2085 | 0.001743 2086 | 0.001168 2087 | -0.000137 2088 | -0.002417 2089 | -0.004869 2090 | 0.002819 2091 | 0.003301 2092 | 0.000679 2093 | -0.004135 2094 | 0.006144 2095 | -0.004081 2096 | 0.003364 2097 | 0.010295 2098 | -0.000829 2099 | 0.000362 2100 | -0.001728 2101 | -0.012798 2102 | -0.011241 2103 | 0.002524 2104 | -0.001869 2105 | -0.016841 2106 | -0.006699 2107 | 0.004136 2108 | -0.003914 2109 | -0.004349 2110 | 0.001583 2111 | 0.01137 2112 | 0.005719 2113 | -0.015873 2114 | 0.008135 2115 | 0.012298 2116 | 0.001952 2117 | -0.017799 2118 | -0.001138 2119 | -0.006092 2120 | 0.001417 2121 | -0.004475 2122 | -0.012696 2123 | -0.010279 2124 | 0.005189 2125 | 0.021235 2126 | -0.003677 2127 | -0.009108 2128 | -1.6e-05 2129 | 0.00974 2130 | -0.00527 2131 | -0.000883 2132 | 0.004869 2133 | -0.009083 2134 | 0.005487 2135 | 0.021565 2136 | -0.002097 2137 | 0.007864 2138 | -0.007248 2139 | 0.002494 2140 | -0.006749 2141 | 0.001469 2142 | 0.004087 2143 | -0.010938 2144 | -0.012958 2145 | -0.004902 2146 | -0.001383 2147 | 0.001919 2148 | 0.018555 2149 | -0.008477 2150 | -0.007076 2151 | 0.016625 2152 | 0.00632 2153 | -0.000378 2154 | -0.004099 2155 | 0.012151 2156 | -0.001478 2157 | -0.004496 2158 | 0.006003 2159 | 0.001345 2160 | -0.00071 2161 | -0.002806 2162 | -0.003362 2163 | -0.004349 2164 | 0.004628 2165 | -0.003986 2166 | 0.00116 2167 | 0.013696 2168 | 0.007661 2169 | 0.001582 2170 | 0.003714 2171 | -0.00367 2172 | 0.001001 2173 | -0.004488 2174 | 0.002374 2175 | -0.000748 2176 | 0.005165 2177 | 0.00192 2178 | -7e-06 2179 | -0.000345 2180 | 0.005514 2181 | 0.001708 2182 | -0.009891 2183 | -0.004799 2184 | 0.003786 2185 | 0.000477 2186 | 0.010442 2187 | 0.003777 2188 | -0.001358 2189 | 0.002727 2190 | 0.000992 2191 | -0.002172 2192 | 0.005211 2193 | -0.005395 2194 | -0.002465 2195 | 0.008815 2196 | 0.007516 2197 | 0.000187 2198 | 0.001915 2199 | -0.002464 2200 | -0.003391 2201 | 0.002095 2202 | 0.012075 2203 | 0.002221 2204 | -0.002689 2205 | 0.0008 2206 | 0.002043 2207 | -0.002563 2208 | 0.009541 2209 | 0.002047 2210 | 0.002511 2211 | -0.003652 2212 | 0.0014 2213 | 0.000732 2214 | 0.001199 2215 | 0.006152 2216 | 0.000261 2217 | 0.003513 2218 | 0.004963 2219 | -0.008451 2220 | 0.000428 2221 | 7e-06 2222 | -0.007351 2223 | -0.000343 2224 | -0.002223 2225 | 0.011346 2226 | 0.002217 2227 | 0.002082 2228 | -0.005332 2229 | 0.001864 2230 | 0.002549 2231 | 0.006356 2232 | 0.002404 2233 | 0.002284 2234 | 0.001028 2235 | -0.000499 2236 | 0.001649 2237 | 0.002338 2238 | -0.003655 2239 | -0.013597 2240 | 0.003487 2241 | 0.009201 2242 | 0.000821 2243 | -0.002798 2244 | 0.008885 2245 | 0.004002 2246 | -0.001314 2247 | -0.00397 2248 | 0.001811 2249 | 0.002269 2250 | -0.001047 2251 | 0.001168 2252 | 0.008689 2253 | 0.001122 2254 | -0.00323 2255 | 0.002158 2256 | -0.001416 2257 | -0.003673 2258 | -0.005316 2259 | 0.004352 2260 | 0.007015 2261 | -0.001478 2262 | -0.004513 2263 | 2.8e-05 2264 | -0.006084 2265 | 0.00222 2266 | -0.000516 2267 | 0.00194 2268 | 0.006339 2269 | 0.004853 2270 | 0.000817 2271 | -0.000893 2272 | -0.00297 2273 | 0.002895 2274 | -0.005277 2275 | 0.003541 2276 | 0.008501 2277 | -0.011269 2278 | -0.001207 2279 | -0.001096 2280 | 0.005772 2281 | 0.006592 2282 | 0.005353 2283 | 0.001694 2284 | -0.000966 2285 | 0.000698 2286 | 0.001395 2287 | -0.001179 2288 | -0.007077 2289 | -0.003261 2290 | 0.007597 2291 | 0.007644 2292 | 0.001037 2293 | -0.000871 2294 | 0.002844 2295 | -0.001404 2296 | -0.000857 2297 | -0.003563 2298 | -0.001254 2299 | -0.034725 2300 | 0.00556 2301 | -0.002594 2302 | -0.011402 2303 | -0.009407 2304 | 0.015493 2305 | -0.002465 2306 | 0.007126 2307 | 0.000684 2308 | 0.002673 2309 | -0.020368 2310 | 0.006691 2311 | 0.003683 2312 | -0.003828 2313 | 0.010894 2314 | 0.006333 2315 | 0.01708 2316 | -0.000348 2317 | 0.001094 2318 | 0.000967 2319 | -0.006184 2320 | -0.007965 2321 | 0.003739 2322 | -0.001173 2323 | 0.002597 2324 | 0.00928 2325 | 0.001112 2326 | 0.003049 2327 | 0.000588 2328 | 0.002616 2329 | -0.006572 2330 | 0.006206 2331 | 0.003488 2332 | 0.010751 2333 | 0.002049 2334 | 0.000693 2335 | -0.001202 2336 | 0.00926 2337 | -0.002304 2338 | -0.000351 2339 | 0.010139 2340 | -0.000782 2341 | -0.00012 2342 | -0.00783 2343 | 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3812 | -0.003814 3813 | -0.002478 --------------------------------------------------------------------------------