What to Do if You Have Missing Data in Bayseing Netowkrs
Tutorial 7 - Missing data
In this tutorial we volition build a unproblematic Bayesian network (shown below) using data that is incomplete, i.due east. certain values in the data are missing (unobserved). We will then testify how predictions can be performed with missing data. Finally we will demonstrate how to fill-in missing values using the Bayesian network.
To demonstrate learning with missing data, we will apply data sampled from the multivariate Gaussian distribution tabulated below. Ane m samples were taken, following which 5% of the data was randomly ready to missing.
X | Y | Z | |
---|---|---|---|
Mean | 6.5 | ii.9 | 5.five |
Covariance (Ten) | 0.four | 0.i | 0.3 |
Covariance (Y) | 0.ane | 0.11 | 0.08 |
Covariance (Z) | 0.3 | 0.08 | 0.3 |
The information in this example is very simplistic, but allows u.s. to keep the example uncomplicated. Typically a more circuitous network would be used, and the network might include latent variables as used in the mixture model tutorial, allowing us to model more circuitous and hidden patterns (automatic feature applied science).
All the examples in this tutorial use continuous variables, however the aforementioned techniques can be used with discrete variables, and Dynamic Bayesian networks (time serial).
The following concepts will be covered:
- Continuous variables
- Nodes with multiple variables
- Creating a Data Connectedness
- Parameter learning
- Batch queries
Bayes Server must be installed, before starting this tutorial. An evaluation version tin can be downloaded from the Downloads page
Companion video (No Audio)
Create the model construction
-
Click New on the File tab to create a new empty network.
-
To add together a new node, click Node on the Network tab, Editing grouping, to create a new node. This volition launch the New node window.
-
Enter Multivariate Gaussian in the Name text box.
-
This node will contain three continuous variables, so in the Variable department, click the Multiple tab.
-
Click the Add Continuous toolbar push button iii times, to add 3 new continuous variables to the node.
-
Rename the new variables to the following, by clicking on the name of each new variable, and typing the new name.
- Ten
- Y
- Z
The New Node window should look similar this:
-
Click the OK button to create the new node.
The network structure is now complete.
Learning with missing data
In this section nosotros will learn the parameters of the multivariate Gaussian with data that contains missing values.
For convenience, we will utilize Microsoft Excel as the information source, however another database can be substituted.
Although Microsoft Excel is a convenient mode of storing data, in practice we recommend using a database every bit the data source.
Adding a information connection
Annotation: You can skip this step, and instead use the pre-installed Tutorial information connection (Walkthrough Data in before versions).
-
Select the data (including the header) in the data section and copy it to the clipboard (Ctrl+C).
If yous utilize a database to store your information, missing data is usually denoted by (null) values, and columns will take an option to allow or disallow (nada) values.
-
Open Microsoft Excel and paste the data into a new Microsoft Excel spreadsheet (Ctrl+V).
-
Save the new spreadsheet.
-
In Bayes Server, click the Data Connections button on the Information tab, Data Sources group. This will launch the Data connection manager.
-
Click the New button on the toolbar. This will launch the Data connection editor.
-
In the list of data providers, select the appropriate Excel Driver for the version of Microsoft Excel yous are using.
-
Next to the File Name text box, click the Ellipsis (...) button, and select the Microsoft Excel spreadsheet created in an before step.
-
Click the Test Connectedness button, to ensure the new information connection is working.
-
Click OK to add together the new Data Connection.
Parameter learning
-
Click the Parameter Learning button, on the Data tab. This will launch the Data tables window.
-
In the Data Connexion drop down, select the new Data Connection created in an earlier step, or the Tutorial data connection if y'all skipped that step. This should enable the Information drop down.
-
In the Data drib downward, select the worksheet that contains the data. (If the data is on the first worksheet, select Sheet1$). If you lot are using the pre-installed Tutorial data connection, select Tutorial 7 - Missing information.
-
Click the OK push button. This will launch the Information map window.
-
In the Data map window, ensure that variable X has automatically been mapped to column 10, variable Y has automatically been mapped to column Y, and variable Z has automatically been mapped to column Z.
The window should look like this:
-
Click the OK button. This will launch the Parameter learning wizard.
-
Click Next in the wizard, accepting all the default settings, until you reach the Run page. Click the Run button to kickoff learning.
Since we are learning with missing information, the learning procedure volition require a number of iterations.
-
When learning has completed, click the Finish button on the sorcerer. This will launch the Candidate Networks window.
-
Click the OK push in the Candidate Networks window.
-
The distribution for the node Multivariate Gaussian has now been learned. Select the node, and click the Distribution push on the Network tab, Editing group. This will launch the Distribution editor window.
The window should look like this:
-
Now compare the mean, variance and covariance parameters in the Distribution editor window, with those from the original sampling distribution tabulated in the introduction. The values are sufficiently shut to indicate that we have successfully approximated the original distribution even though 5% of the data was discarded.
-
Click OK to close the Distribution Editor window.
Perform predictions with missing information
In this section we will predict the variable Z, using values for 10 and Y which might exist missing. This demonstrates that nosotros tin still predict Z, even if have incomplete information. We will re-apply the information nosotros setup in the previous department.
Since nosotros are predicting a continuous variable, the job is known as regression.
Batch query - predictions
-
Click the Batch query button, on the Data tab. This will launch the Data tables window.
-
In the Information Connection drib down, select the new Data Connection created in an earlier stride, or the Tutorial information connection if y'all skipped that step. This should enable the Data drib down.
-
In the Data drop downward, select the worksheet that contains the information. (If the data is on the get-go worksheet, select Sheet1$). If you are using the pre-installed Tutorial data connection, select Tutorial vii - Missing data.
-
Click the OK button. This volition launch the Data map window.
-
In the Information map window, ensure that variable X has automatically been mapped to column Ten, and variable Y has automatically been mapped to column Y.
Because we are predicting Z, we do not want the Z variable to be mapped.
- Click the Un-map column button at the terminate of the Z row.
In order to test how well our model tin predict Z, nosotros desire to take access to the Z data cavalcade, simply we practise not desire to map it to the variable we are predicting.
- Click on the Information tab, and click the bank check box next to Z.
Another way of performing the aforementioned prediction, would be to exit the default mappings (including Z) and use the Retract evidence feature which assumes the variable y'all are predicting is missing, fifty-fifty if it mapped to non missing data.
The data map windows should look like this:
-
Click the OK button. This will launch the Batch query window.
-
In the query pane on the left hand side, ensure the following queries/information columns are checked.
- Predict(Z)
- Variance(Z)
- X
- Y
- Z
-
Click the Showtime push button on the Batch Query tab, Batch Query group. This outputs the predictions to the window.
Instead of outputting to the window, you tin also output the predictions to a database. This is useful if y'all are working with large datasets.
The window should wait similar this:
Note that nosotros get a prediction for Z, even if the value for 10 or Y is missing, based on the data bachelor. In fact, we yet go a prediction if both X and Y are missing (see case 997).
Along with the predicted value for Z, we also get a variance indicating the spread for the prediction.
-
Close the Batch query window.
Filling in missing data
In this department we volition demonstrate how a Bayesian network can exist used to backup missing values.
This is different from the prediction performed above, firstly because we are too predicting X and Y, only as well because if any values are known, nosotros retain their values.
Batch query - fill-in missing values
-
Click the Batch query button, on the Data tab. This will launch the Data tables window.
-
In the Data Connection drop down, select the new Information Connection created in an earlier pace, or the Tutorial data connection if you skipped that stride. This should enable the Information drib down.
-
In the Data drib downwardly, select the worksheet that contains the information. (If the data is on the first worksheet, select Sheet1$). If you are using the pre-installed Tutorial data connection, select Tutorial 7 - Missing information.
-
Click the OK button. This will launch the Data map window.
-
In the Data map window, ensure that variable Ten has automatically been mapped to column X, and variable Y has automatically been mapped to column Y and variable Z has automatically been mapped to column Z.
Different the previous section nosotros include the mapping for Z.
The data map window should look like this:
-
Click the OK button. This will launch the Batch query window.
-
On the Batch query tab, Batch query grouping, ensure that the Retract option is turned OFF. This ensures that existing values will be output, and missing values volition be replaced by predicted values.
-
In the query pane on the left hand side, ensure the following queries/information columns are checked.
- Predict(10)
- Predict(Y)
- Predict(Z)
- X
- Y
- Z
It is the columns Predict(Ten), Predict(Y) and Predict(Z) that volition contain our original data with missing values filled in. Although not required, we accept included the columns Ten, Y and Z for comparison.
-
Click the First button on the Batch Query tab, Batch Query grouping. This outputs the predictions to the window.
Instead of outputting to the window, you can also output the predictions to a database. This is useful if you lot are working with large datasets.
The window should await similar this:
-
Notation that the original data is retained, nonetheless missing values are replaced with predicted values.
Data
Case | X | Y | Z |
---|---|---|---|
0 | vii.361322367 | 3.643201047 | half-dozen.588605476 |
one | 5.922611866 | 5.177020763 | |
two | 6.734592687 | ii.540409254 | 5.735911197 |
3 | half dozen.214891612 | three.098860437 | five.212103279 |
4 | 7.245333106 | 3.737858898 | half-dozen.246807317 |
5 | 6.187227835 | 2.809222957 | 5.154439521 |
6 | vi.127841245 | v.257808701 | |
7 | 5.420549855 | ii.789983186 | 3.824171095 |
8 | 7.636637234 | 2.822159507 | six.0035082 |
9 | 6.865330437 | 2.707942279 | 5.560468267 |
10 | 7.026775618 | 3.18926625 | 5.544403824 |
11 | eight.241347584 | 3.667843081 | 7.136554568 |
12 | half dozen.862291101 | iii.384921933 | |
thirteen | 6.382521691 | 2.616473832 | 5.686374713 |
xiv | vii.741580895 | three.649089818 | 6.209658017 |
fifteen | seven.35690619 | 5.858972228 | |
16 | half dozen.283815662 | 3.102976165 | v.383477518 |
17 | 8.1692888 | 3.393410808 | 7.410928557 |
18 | 6.415122356 | iii.37686942 | 5.360733995 |
19 | 7.319021079 | two.888678131 | six.32623456 |
twenty | five.487696 | 4.761963138 | |
21 | 5.537592284 | 2.641392062 | |
22 | v.549138903 | two.687142009 | four.946209321 |
23 | two.915170336 | 5.926632454 | |
24 | 6.814135318 | 2.860260755 | v.840769372 |
25 | v.969226118 | ii.557137533 | 4.962035067 |
26 | 7.328855174 | iii.424848988 | 5.699110923 |
27 | 5.992640112 | 2.821734388 | 5.39441374 |
28 | 3.30077682 | v.597015287 | |
29 | 6.125132829 | two.994691325 | 5.021193115 |
30 | two.91047831 | 5.123655817 | |
31 | 6.437989569 | 3.124747556 | five.841610558 |
32 | 6.534085647 | two.855246834 | 5.120398352 |
33 | 3.019425824 | 5.72764605 | |
34 | half dozen.563657499 | 3.07146835 | 5.695404153 |
35 | 7.14056442 | two.941180993 | 6.042606067 |
36 | vi.30789806 | 2.458248557 | 5.30204915 |
37 | 6.879490735 | 3.475622606 | 5.742896246 |
38 | six.407409625 | three.127032583 | 5.514673104 |
39 | v.88065558 | 3.351495179 | 5.148263324 |
40 | 2.994561306 | 5.174832252 | |
41 | 6.353335182 | 2.854178844 | 5.315722038 |
42 | 6.976010328 | 3.3518604 | |
43 | 7.46693531 | 3.648246109 | 6.615507994 |
44 | 6.244280149 | 2.869164132 | 5.08913155 |
45 | 6.085534082 | ii.64720529 | v.200212027 |
46 | 5.9713148 | ii.913353784 | v.037540821 |
47 | 2.977520081 | 5.937204306 | |
48 | six.057136532 | four.951382998 | |
49 | 6.882216192 | iii.240281267 | five.743295966 |
50 | five.640954857 | three.015062939 | 4.75385882 |
51 | 7.321360904 | six.305422628 | |
52 | 6.455554432 | ii.818199177 | 5.850607894 |
53 | 6.268045882 | 3.038089256 | 5.129929448 |
54 | six.345488741 | three.136579476 | 5.695596935 |
55 | 7.060588272 | 2.988998422 | 5.69256609 |
56 | 6.501012554 | 2.830530268 | 5.321441873 |
57 | half dozen.382532128 | 3.120994255 | 5.660898431 |
58 | 5.662831617 | 2.697172784 | |
59 | vii.048640482 | 2.828555842 | five.645351624 |
60 | 6.805833875 | ii.490609499 | 6.097848922 |
61 | 6.607422216 | two.982227352 | 5.509822749 |
62 | 7.186044038 | 2.971533988 | 6.067915739 |
63 | half-dozen.358017453 | 2.893218043 | 5.4341287 |
64 | 7.518403921 | iii.318224851 | 6.461504966 |
65 | six.020192143 | 2.139412397 | 5.488469128 |
66 | 5.825310702 | ii.167001882 | v.199221927 |
67 | 6.853488349 | 3.20644835 | six.055716077 |
68 | 5.802990108 | ii.431395262 | four.951872716 |
69 | six.347060776 | 2.59097972 | 5.275174484 |
70 | 2.867355123 | 4.53991452 | |
71 | 7.551006666 | 2.930814592 | 6.252212258 |
72 | 6.956474922 | 2.946300113 | 5.684037963 |
73 | vi.576540302 | 3.241121899 | v.396611449 |
74 | three.421800591 | ||
75 | 6.086830191 | three.043787569 | 5.348294414 |
76 | six.240607142 | 2.210123178 | four.897220562 |
77 | 6.605607336 | iii.346278478 | v.750291587 |
78 | 3.030177481 | 5.266824964 | |
79 | 5.490461783 | 2.249058077 | 4.380099178 |
80 | 6.31461542 | 2.949349575 | v.689228517 |
81 | 5.931297807 | 2.868347476 | 4.939817685 |
82 | 2.69959019 | 4.296612051 | |
83 | six.689073094 | 2.683420306 | v.945552455 |
84 | seven.00757263 | two.971770331 | half dozen.04460193 |
85 | 6.149398359 | ii.540029993 | five.302082457 |
86 | half dozen.465218078 | ii.803324551 | 6.113201536 |
87 | 6.637031623 | 2.910439685 | v.285953636 |
88 | 7.077141159 | iii.927992996 | 5.687541369 |
89 | 6.28687294 | 3.026804266 | 5.062739577 |
90 | 6.028051908 | 2.363302372 | 5.27109251 |
91 | half-dozen.402809092 | two.904332673 | v.016257518 |
92 | 6.775156922 | 2.97920289 | 5.969680585 |
93 | five.987869675 | 2.821823643 | 5.289889639 |
94 | six.333704604 | 3.052481508 | 5.122340327 |
95 | six.308542175 | 2.913524776 | five.510700359 |
96 | six.032685882 | two.355387057 | five.052397241 |
97 | half-dozen.570714516 | five.602559121 | |
98 | 5.878432738 | 2.604579845 | iv.96776982 |
99 | 6.556585753 | 2.686323245 | 5.595305408 |
100 | vi.487414818 | 3.036945011 | 5.447483183 |
101 | 6.184605404 | 2.978941104 | 5.5573754 |
102 | 7.630436437 | half dozen.267985493 | |
103 | 7.492649134 | iii.57768332 | 5.952459046 |
104 | six.059613772 | two.723297138 | 5.309575852 |
105 | 7.016809185 | 3.303013279 | 5.675482494 |
106 | 5.353811728 | ii.199801987 | 4.635987666 |
107 | v.735329006 | iii.001137479 | 4.411810395 |
108 | six.614689885 | ii.734556349 | |
109 | six.134413542 | 3.20116548 | 5.425713252 |
110 | 6.676398064 | 2.90098181 | 5.717644583 |
111 | v.907583177 | 2.726105676 | 5.259474915 |
112 | 4.895193617 | 2.674765559 | 4.1694444 |
113 | seven.218781954 | three.057266354 | 6.624032652 |
114 | 2.862572558 | 5.714951145 | |
115 | 6.753359476 | two.873792528 | |
116 | vii.363700426 | ii.568008828 | 6.053455074 |
117 | 7.100027953 | 2.874574307 | half dozen.117414783 |
118 | 6.007840116 | 2.341920886 | 5.123433543 |
119 | 6.659391721 | two.952358938 | 5.852424552 |
120 | 6.502406223 | 2.662795828 | |
121 | 6.684169599 | 3.336343763 | v.30299905 |
122 | half-dozen.96896762 | 3.23246908 | half-dozen.090332869 |
123 | 5.916009156 | two.752365768 | 5.126880456 |
124 | 6.61792677 | v.177048925 | |
125 | 7.194942641 | ii.63576156 | half dozen.175994666 |
126 | 3.931668721 | ||
127 | 6.918439527 | 3.052689784 | five.982199991 |
128 | 7.550337227 | two.476160292 | six.817891974 |
129 | 6.144706782 | ii.521898648 | v.320753668 |
130 | 6.65632187 | 2.611218013 | 5.797190702 |
131 | six.527684824 | ii.847870383 | iv.971596694 |
132 | 5.895315478 | two.832152111 | five.078776905 |
133 | 6.806538025 | 2.877300436 | 6.061073965 |
134 | 3.089530712 | 5.295367399 | |
135 | 6.804589737 | 3.049129925 | 5.55281585 |
136 | 5.622716653 | 2.537849724 | 4.554709924 |
137 | half-dozen.708489801 | 2.606386902 | 5.728295962 |
138 | 5.8207204 | ii.598661969 | v.194597464 |
139 | 5.708823368 | 2.871966811 | iv.895632787 |
140 | seven.074762068 | iii.124964175 | 5.971105588 |
141 | 5.613388619 | 2.243767581 | 4.813146675 |
142 | 7.904074888 | 3.597291299 | 6.245908958 |
143 | 6.836083109 | two.791231488 | 5.971413994 |
144 | half dozen.230064831 | 3.212994667 | 4.650919116 |
145 | 6.407247247 | 3.026649985 | 5.3961284 |
146 | half dozen.406918863 | 2.334885183 | 5.424689734 |
147 | 6.896141251 | six.223953765 | |
148 | 7.084181012 | iii.265680002 | 6.13185279 |
149 | 7.296952683 | 3.276935815 | 5.5306946 |
150 | 6.682895844 | 2.700447218 | 5.297744203 |
151 | 7.518296677 | three.182496741 | 5.904263233 |
152 | 6.91625288 | 2.85600896 | 5.760381359 |
153 | 6.633209915 | 3.201560441 | v.639482636 |
154 | seven.0211199 | three.073996556 | 6.261321843 |
155 | 9.042261327 | 3.396359008 | 7.467300747 |
156 | 7.340466132 | 3.28017227 | six.072604745 |
157 | 7.116118021 | ii.924143917 | v.847241518 |
158 | 6.738063099 | three.032361028 | 5.860911661 |
159 | 5.661035287 | 2.598830681 | five.098418561 |
160 | 5.467996357 | ii.130209122 | 4.979502813 |
161 | vi.810160147 | 3.158106994 | 5.890262741 |
162 | half dozen.458575035 | five.275777978 | |
163 | 6.684370778 | 2.706043352 | 6.024105122 |
164 | 4.716045252 | 2.190078374 | three.953523841 |
165 | 5.663167389 | 2.269116781 | 4.938256185 |
166 | 6.773706218 | 2.941131718 | 5.379892249 |
167 | 5.765264396 | 2.703574481 | five.06304299 |
168 | half dozen.682023872 | three.171587498 | 5.721538225 |
169 | half dozen.647114191 | 3.043006859 | 5.819118688 |
170 | 5.857453521 | iii.103367816 | 5.044418451 |
171 | 6.362953926 | ii.779090487 | 5.496660196 |
172 | 2.750106448 | 5.620231942 | |
173 | 6.620380813 | 2.815381747 | 5.656687971 |
174 | vi.562366738 | 2.845120077 | 4.904661668 |
175 | 5.911450816 | 2.69524639 | iv.907616019 |
176 | half-dozen.382663563 | 3.10714041 | 5.351039152 |
177 | 6.320558523 | 2.558464132 | v.51372535 |
178 | vi.833375657 | 3.409966744 | 5.473128053 |
179 | 6.529581221 | 3.163521942 | |
180 | six.604001786 | 3.338420733 | v.522778394 |
181 | 6.727290032 | 3.164081889 | 5.604317953 |
182 | seven.727182523 | iii.271305037 | 6.775289327 |
183 | 6.585840552 | ||
184 | vi.236682989 | 5.144884782 | |
185 | 6.750598465 | 3.293780293 | 6.022768974 |
186 | 6.267825001 | 2.726435819 | 5.13251046 |
187 | 5.084060905 | 2.459250609 | 4.643122219 |
188 | seven.255458803 | 3.514863884 | six.723481947 |
189 | 6.257109069 | 3.069849909 | 5.499189305 |
190 | 5.29045878 | 2.763953807 | 4.758097645 |
191 | 5.248249298 | 2.765725421 | 4.322178467 |
192 | 6.197662722 | iii.124649836 | 4.902952645 |
193 | vi.010748546 | 3.151295502 | v.247275268 |
194 | 6.345150647 | 2.461619527 | 5.291160011 |
195 | 6.382340529 | 2.515344238 | 5.124481293 |
196 | 4.742123649 | 1.58560423 | 3.727960242 |
197 | 8.050102687 | 3.388625637 | 6.34535555 |
198 | 5.367090269 | ii.683282031 | iv.477070129 |
199 | 5.789875651 | 3.060283635 | 4.721495016 |
200 | vii.060934829 | 2.888908381 | 5.777440892 |
201 | 5.579312157 | ii.638520322 | |
202 | 5.407984306 | 2.804468106 | three.970304972 |
203 | 7.148962252 | 2.996374199 | 6.323515097 |
204 | 6.21996113 | 2.783326812 | 5.365056987 |
205 | 6.940566544 | two.671973316 | 5.953801851 |
206 | 2.851085241 | 6.24884169 | |
207 | half dozen.104653012 | 2.832020146 | 5.904489021 |
208 | 6.519754562 | ii.673512687 | five.212443068 |
209 | vi.24329454 | 2.948045361 | 5.158280301 |
210 | vi.726815926 | ii.680989145 | 5.805426901 |
211 | v.864914459 | 2.231366834 | iv.897888097 |
212 | seven.684424618 | 2.628395105 | 6.331617828 |
213 | 6.301504366 | 2.806705235 | v.035330369 |
214 | 5.934760174 | 2.731122755 | 5.167197478 |
215 | two.374489734 | 5.155584496 | |
216 | half dozen.262896227 | 2.893371788 | 4.889274143 |
217 | half dozen.13108405 | 5.255268995 | |
218 | vii.20345026 | 2.720879613 | 5.688009374 |
219 | 7.105877838 | 2.385246479 | 6.080502904 |
220 | 7.647816162 | iii.639451525 | |
221 | 5.864234272 | 3.114445292 | five.485023223 |
222 | 6.919252083 | iii.05592096 | five.964954805 |
223 | 7.763399308 | 3.2864443 | 6.69982554 |
224 | 5.788338016 | 2.685650525 | iv.46595344 |
225 | 5.524163548 | two.426012627 | 4.857926829 |
226 | 5.48352112 | 3.265825448 | 4.957074521 |
227 | 6.623673254 | two.995940275 | 5.426464583 |
228 | 6.007779669 | 3.034766575 | 5.021032533 |
229 | six.136415972 | 2.905689718 | |
230 | 7.520810679 | two.978274163 | 5.980608183 |
231 | 7.007319537 | 2.887988637 | 5.845245019 |
232 | six.853985014 | iii.266344686 | v.778224245 |
233 | six.696603305 | two.960287983 | 5.487629921 |
234 | 2.543641755 | 5.869672408 | |
235 | 5.460273853 | 3.006902483 | 5.080712726 |
236 | 6.965434924 | 2.758561011 | 6.060851212 |
237 | 7.29459662 | 3.646288437 | 5.593804793 |
238 | 5.494701858 | 3.048535373 | four.340565358 |
239 | 7.388649717 | 3.339175555 | 6.533795452 |
240 | vii.061732471 | 3.481626588 | 5.369566725 |
241 | 6.827873459 | iii.336083303 | 5.720575492 |
242 | v.882931848 | two.972155881 | five.14349811 |
243 | 5.944861653 | 2.395395069 | v.576154307 |
244 | 6.897629245 | 3.077573654 | v.362000638 |
245 | 7.31903224 | two.858639672 | 6.02236564 |
246 | 6.214176594 | two.285488554 | iv.951820611 |
247 | 6.502005371 | 3.036749653 | 5.438227763 |
248 | 5.732930279 | 2.609417703 | 4.857265443 |
249 | 6.374070178 | 3.034794344 | five.357797353 |
250 | 7.062750527 | 3.708045937 | 5.949497907 |
251 | half-dozen.968881831 | 3.17161348 | 6.051975841 |
252 | 6.383283577 | ii.904838668 | v.084764712 |
253 | 7.489233312 | 3.0227553 | |
254 | 5.785144535 | two.833847428 | v.179988734 |
255 | 6.239538136 | 3.045525977 | v.676288516 |
256 | 5.910886334 | 2.7305909 | 4.722666065 |
257 | half dozen.831709152 | 2.857182027 | six.160585597 |
258 | 6.661868375 | ||
259 | vii.209293632 | 3.174941953 | v.959259482 |
260 | 7.478288425 | 2.884518033 | half-dozen.248677989 |
261 | 6.764856901 | iii.059109185 | six.106891685 |
262 | vi.292423183 | 2.860118661 | 5.387718189 |
263 | 6.152288318 | 2.757391083 | 5.228163787 |
264 | 5.490373884 | 2.513561973 | 4.549994791 |
265 | 6.796748537 | 3.663243423 | v.321266648 |
266 | 7.224875183 | three.260390795 | half-dozen.022155241 |
267 | 6.489760406 | 2.546732962 | 5.204169778 |
268 | 6.384950486 | 3.09994258 | five.330099251 |
269 | v.972655349 | two.285614567 | v.176702807 |
270 | six.024848086 | ii.636999519 | 5.22957755 |
271 | 7.497851908 | 3.178935022 | 5.635675904 |
272 | 6.71320192 | three.208327813 | 5.738962687 |
273 | 5.795397655 | ii.92554303 | 5.286875123 |
274 | 3.212513829 | v.821696699 | |
275 | 6.39816874 | iii.101349167 | 5.0804893 |
276 | seven.363001272 | 3.010460414 | 6.187855708 |
277 | half-dozen.952919819 | three.18807165 | 6.187265414 |
278 | seven.136279958 | 2.776992939 | 5.68236817 |
279 | 6.330816734 | two.428827377 | |
280 | 6.987624078 | three.577918526 | five.616478142 |
281 | 5.955293575 | ii.805577637 | 5.040326988 |
282 | five.339612485 | 2.428563209 | 4.628874963 |
283 | 5.588760622 | 2.702812167 | 4.909561004 |
284 | 6.301962163 | ii.138631065 | 5.0626364 |
285 | 6.603624567 | three.157228949 | 5.487790498 |
286 | 6.541618668 | 2.857645258 | 5.794207693 |
287 | vi.12125804 | 2.164262612 | 5.633511598 |
288 | 6.226661705 | 2.667054492 | five.457119996 |
289 | 6.025796325 | 3.009191377 | 5.165651777 |
290 | 5.120077508 | 5.104576188 | |
291 | v.570263672 | two.145950519 | four.596643054 |
292 | 6.460492607 | 3.159339623 | 5.554643192 |
293 | 7.683578464 | 3.165271742 | 5.898293465 |
294 | 6.061308104 | 3.103631111 | five.02136703 |
295 | vi.004742872 | 5.202700462 | |
296 | five.296888802 | 2.680748658 | four.596230962 |
297 | half dozen.659672702 | 2.959363806 | 5.275847194 |
298 | half-dozen.718634894 | 3.383875762 | 5.334665812 |
299 | five.330295724 | 2.693088352 | iv.433063131 |
300 | 7.038147136 | 3.617170875 | six.30014964 |
301 | 7.151474423 | ii.998939796 | 6.506536508 |
302 | 6.40379298 | three.258930303 | v.595448824 |
303 | vi.446484061 | 2.810837237 | 5.876131562 |
304 | 3.0998527 | 5.823401614 | |
305 | half dozen.679587134 | 2.655162886 | 5.677472585 |
306 | 6.69846402 | 2.282069563 | 5.83954644 |
307 | 5.525136848 | 3.036136523 | four.704840221 |
308 | 7.00849646 | 2.683094782 | 5.756467239 |
309 | vi.220640295 | 2.989893114 | 5.471363682 |
310 | half-dozen.882310854 | 3.341724279 | 6.088140557 |
311 | v.868149524 | two.417691413 | 4.543821417 |
312 | 5.840083912 | two.288430877 | 4.454351798 |
313 | 6.676688225 | 3.361595628 | 5.365719654 |
314 | 7.879121871 | 3.556008782 | 6.466745428 |
315 | six.590314925 | two.718116282 | 5.840185824 |
316 | seven.157863091 | v.631329235 | |
317 | 3.319822714 | ||
318 | half dozen.074832019 | ii.817995309 | five.402973239 |
319 | 5.473146305 | 2.91551627 | 4.315702705 |
320 | half dozen.86522901 | ii.945594873 | |
321 | half-dozen.339933519 | 2.834253485 | 5.352389791 |
322 | v.999949874 | ii.683800082 | v.379796585 |
323 | 5.320680926 | 2.920050707 | 4.719784327 |
324 | half-dozen.914635453 | 3.242999774 | 5.977327087 |
325 | half-dozen.203012678 | two.945598286 | |
326 | 6.275604846 | 2.810778395 | 5.233218326 |
327 | vi.399220873 | 2.509288632 | v.121823346 |
328 | six.56246051 | 2.950939221 | half-dozen.138259244 |
329 | 7.13835392 | iii.30242644 | 5.718863668 |
330 | 6.972067822 | 3.181677147 | v.858378881 |
331 | vi.50051194 | 5.767313174 | |
332 | half dozen.975356523 | iii.033411393 | 5.743392001 |
333 | vi.324087522 | 2.975603081 | v.575105182 |
334 | 6.623327705 | 2.771121501 | 5.877841121 |
335 | five.527265381 | 2.814397341 | iv.693546875 |
336 | 7.464641535 | 2.934796663 | five.954773155 |
337 | 5.551267142 | two.402927437 | 5.21190507 |
338 | v.64929264 | 2.858880026 | four.933024108 |
339 | vi.741013245 | 2.87759925 | 5.300184829 |
340 | seven.004420199 | 3.080618401 | 6.339701904 |
341 | 5.645610756 | 2.839244791 | iv.962047937 |
342 | 6.886042608 | 2.384940654 | 5.857445097 |
343 | half dozen.03902117 | ii.882757414 | 4.724060786 |
344 | 6.137179657 | three.022856088 | v.400781073 |
345 | vii.227458494 | 2.791367054 | vi.218581776 |
346 | five.676127062 | ii.41821658 | 4.724254552 |
347 | seven.00370949 | 3.093788462 | 5.98940052 |
348 | half-dozen.109695505 | ii.983803035 | 5.005939023 |
349 | 7.147962261 | iii.55545629 | 5.937072096 |
350 | 7.55352586 | 3.02141603 | 6.659717569 |
351 | half dozen.652649771 | three.782313738 | 5.300462151 |
352 | seven.009548929 | 2.916210705 | five.832653475 |
353 | 6.701307119 | ii.892037355 | 5.686978746 |
354 | 5.566148788 | ii.755429314 | 4.509787748 |
355 | 6.25728127 | 2.394369319 | five.31616356 |
356 | 6.062063694 | iii.163748621 | |
357 | 6.407246931 | 2.658892713 | five.509271381 |
358 | 6.734198697 | 2.614315679 | 5.856583654 |
359 | six.498409822 | 3.121622017 | five.803129111 |
360 | vii.273577194 | 2.838807098 | half-dozen.087718045 |
361 | half-dozen.170174745 | iii.109093932 | v.378340266 |
362 | 6.042199513 | 2.927436281 | 4.961260032 |
363 | 6.936944229 | three.002064809 | v.560672109 |
364 | ii.852576247 | four.98835288 | |
365 | five.698551223 | two.305921046 | 4.659019247 |
366 | v.953564115 | iii.039118675 | four.412113706 |
367 | vi.964380427 | 3.068224235 | 5.857583018 |
368 | 5.563337715 | ii.372429655 | 4.723291406 |
369 | half-dozen.468792446 | 2.744375567 | 5.210265724 |
370 | 6.644256371 | 2.691475564 | 5.786018201 |
371 | vi.590981813 | 2.947486304 | 5.977929375 |
372 | 6.597789988 | 2.880796794 | 5.59226621 |
373 | 6.490940952 | 2.88946168 | 5.671263726 |
374 | vi.741765062 | iii.023471611 | 6.271044586 |
375 | 5.805592425 | 2.608280323 | 4.844668288 |
376 | half-dozen.960140473 | 3.086809418 | 6.081788321 |
377 | 6.706935136 | 2.437485424 | 6.079965067 |
378 | half dozen.871294438 | 3.10589503 | v.839366809 |
379 | 5.986644797 | ii.740399535 | 5.34543683 |
380 | 6.030242507 | 2.580794808 | four.618036568 |
381 | 6.386011075 | 2.939338767 | 5.375599279 |
382 | 5.143018717 | 3.302336166 | 4.38795219 |
383 | half-dozen.62909903 | 3.338105823 | 5.674564334 |
384 | half-dozen.325014332 | 2.754777722 | four.763855181 |
385 | 7.622568287 | ii.916900388 | 6.398215079 |
386 | 6.222078631 | 3.086602044 | 5.044268346 |
387 | half-dozen.759981734 | 6.060149757 | |
388 | 6.919001203 | 2.768025169 | v.52134548 |
389 | vi.499918702 | 2.285735552 | 5.447920306 |
390 | half dozen.483035948 | 2.881140435 | 5.284878107 |
391 | v.945778669 | 2.892906406 | five.142164843 |
392 | 6.959289924 | 3.11143364 | v.88386006 |
393 | 7.127754138 | 2.764691762 | half-dozen.044266855 |
394 | 6.125804647 | three.809538283 | 5.017918698 |
395 | five.83506288 | 2.447190543 | five.350831415 |
396 | 6.083081365 | three.113206876 | 5.189875792 |
397 | 6.783185403 | 2.928431771 | |
398 | vi.39758796 | 2.818905664 | |
399 | 5.613465382 | 3.038928725 | four.631279565 |
400 | 7.365178843 | iii.327960695 | 6.26919767 |
401 | 5.728904742 | 2.307988729 | v.004023773 |
402 | seven.962935742 | 2.749289372 | six.914330577 |
403 | 2.845011735 | 5.564082285 | |
404 | seven.003407176 | 3.054598898 | five.662631828 |
405 | 6.670994901 | 2.845308536 | 5.357492021 |
406 | 6.621754814 | three.063932664 | 6.13365386 |
407 | 6.309612473 | ii.501714395 | 5.607165443 |
408 | half-dozen.266379337 | 2.971470195 | 5.526587699 |
409 | five.980975508 | 2.747176748 | 5.177293962 |
410 | vii.09385864 | iii.246742245 | |
411 | two.98372163 | 4.604274312 | |
412 | 7.425910551 | 5.339248602 | |
413 | 4.850483342 | 2.900805555 | 4.353456125 |
414 | 5.504382606 | ii.314422701 | 5.133039945 |
415 | 6.760345707 | 5.766931077 | |
416 | 6.716507923 | 3.401140211 | 5.886231972 |
417 | 5.308248557 | 2.692211728 | |
418 | six.653436434 | iii.066321969 | vi.069089596 |
419 | vi.759364258 | 3.089654475 | 5.668248024 |
420 | 6.441260428 | 2.822133229 | |
421 | 6.395537919 | 3.062120374 | 5.29496318 |
422 | 5.902972628 | 2.576823442 | four.523334927 |
423 | vi.225657414 | 5.413470086 | |
424 | 6.390023933 | iii.338083745 | five.826029664 |
425 | half-dozen.381368633 | 2.8555836 | 5.466478726 |
426 | 6.974188115 | 3.16662334 | v.769922609 |
427 | 6.335109578 | ii.937419815 | five.877506293 |
428 | 6.411706251 | 2.955063191 | five.55657654 |
429 | 6.958841412 | 2.933161998 | 5.548058159 |
430 | 6.623833779 | 2.99872353 | 5.509827908 |
431 | six.211110902 | ii.676798606 | four.949734952 |
432 | seven.731876187 | three.035412087 | 6.133501945 |
433 | half-dozen.405943411 | ii.406486042 | 5.861604572 |
434 | 6.840806017 | three.215957931 | 5.847597204 |
435 | 5.702743883 | 2.47402035 | |
436 | 5.978727994 | two.549256843 | iv.791989334 |
437 | half-dozen.132427623 | 2.922561853 | four.97620071 |
438 | 7.253417304 | 3.05881894 | 6.095752104 |
439 | 6.372809206 | ii.536527665 | 5.218491892 |
440 | v.675799374 | 2.819998221 | 4.839337785 |
441 | vi.907831172 | 3.148744887 | 5.628004197 |
442 | 6.583120564 | ii.961808609 | 5.830905886 |
443 | vii.006894698 | two.903233637 | 5.714685252 |
444 | 5.765548452 | 2.706543133 | 4.763255651 |
445 | 7.386151503 | 3.106435708 | 6.583855534 |
446 | v.715113825 | 2.465794891 | 4.730321503 |
447 | 6.213863199 | 3.308589088 | 5.195845867 |
448 | half-dozen.172592759 | 5.016938791 | |
449 | 6.17759961 | 3.122373687 | 5.065967179 |
450 | 6.398776715 | 2.84986633 | 5.346828162 |
451 | 6.512562974 | 3.135317391 | 5.089418542 |
452 | vi.192296319 | 2.749249517 | 4.932514574 |
453 | 8.041155489 | 3.151087449 | half dozen.463604473 |
454 | seven.040782378 | 3.117186995 | half dozen.194117367 |
455 | vii.32666537 | 3.271351115 | 6.527213659 |
456 | 5.922743269 | 2.2718139 | 4.632549372 |
457 | half dozen.866247981 | 3.32797765 | 6.250111611 |
458 | 7.927345503 | vi.950035206 | |
459 | 5.873029486 | 2.696964406 | 4.77295481 |
460 | 6.058473111 | 3.163592652 | 4.994953187 |
461 | 7.164980687 | ii.807864081 | five.684118892 |
462 | half-dozen.119817385 | 3.163545327 | v.172910785 |
463 | 6.53124599 | 3.116660407 | five.934885285 |
464 | half-dozen.300343643 | 2.626726673 | |
465 | 6.864205399 | iii.249353017 | 5.391733972 |
466 | 7.449468691 | 3.270424864 | half-dozen.080417672 |
467 | 6.440608845 | two.744038098 | 5.366470544 |
468 | 6.264293591 | ii.673864739 | 5.094163613 |
469 | 5.595603858 | two.698680604 | four.847335102 |
470 | 2.565760911 | 4.84947335 | |
471 | 5.865724599 | 2.815408747 | 5.486911643 |
472 | seven.168357584 | three.505309963 | half-dozen.02030429 |
473 | 6.551614678 | 2.376372066 | 5.787755594 |
474 | vi.002482892 | 3.01363739 | four.960008613 |
475 | 5.600454382 | two.818711472 | 5.092103536 |
476 | six.341944315 | 2.469020154 | 5.143368804 |
477 | 6.393885662 | 2.901057651 | v.287032987 |
478 | vii.341999758 | 3.384312239 | 6.077767612 |
479 | 7.575629549 | iii.345308322 | 6.482343761 |
480 | vi.790873711 | 3.038136987 | 5.849474897 |
481 | half-dozen.311102102 | 2.984490689 | iv.88513241 |
482 | 7.169401692 | 2.796441273 | 6.030268625 |
483 | 6.647638661 | ii.855456477 | five.84043515 |
484 | 5.529717087 | 2.688639231 | five.159090462 |
485 | vii.747612673 | 3.849919732 | 6.594393325 |
486 | v.84110975 | 2.556178743 | 4.810474238 |
487 | 5.68781391 | two.139571066 | v.116437319 |
488 | 5.723434744 | two.471347237 | iv.511726961 |
489 | 6.27832123 | 2.690440906 | |
490 | 5.606343014 | iii.289655142 | 5.117832843 |
491 | 5.428533722 | ii.15776006 | four.542888297 |
492 | 5.113873103 | 2.561480629 | 4.447640605 |
493 | 7.110082155 | 3.048379669 | 5.878810291 |
494 | 6.437024804 | ii.638822095 | 5.415538022 |
495 | 6.569417072 | 2.573252527 | 4.860339292 |
496 | v.689666731 | 2.489442982 | v.004380909 |
497 | 6.600317017 | three.078796446 | v.609764778 |
498 | 6.446840097 | 2.904672773 | 5.330324537 |
499 | 6.097910425 | 2.633823973 | 5.007740254 |
500 | half-dozen.555347601 | three.062058542 | 5.720339011 |
501 | 5.879827142 | 2.643232629 | iv.748931389 |
502 | 7.498975459 | 3.482701226 | 6.488584203 |
503 | vi.638702235 | five.816099179 | |
504 | 6.428089356 | 2.963756952 | 5.644926515 |
505 | 7.551766492 | 3.327628471 | half dozen.285783884 |
506 | 5.030273109 | 2.382428526 | 4.585296686 |
507 | 6.290762652 | 3.011655915 | 4.926721535 |
508 | 6.997922699 | iii.488253598 | 5.830416248 |
509 | 6.104735661 | three.334586469 | 5.153471002 |
510 | 6.345459436 | ii.905901391 | 5.510293619 |
511 | 7.502452912 | 3.08974006 | half dozen.767357884 |
512 | 6.622311723 | 3.096708115 | 5.992856145 |
513 | 6.288881507 | 2.9278343 | 5.204932577 |
514 | 5.411875767 | ii.101234753 | four.279110583 |
515 | half-dozen.447014863 | 2.743455703 | |
516 | v.629328814 | 3.036872025 | four.845510717 |
517 | half-dozen.979376294 | 3.151818421 | 5.891645587 |
518 | 5.804956143 | 2.209638008 | 4.27968601 |
519 | 7.083418691 | 3.297218733 | 5.652070397 |
520 | 7.735351467 | 2.956010875 | 6.750634294 |
521 | five.687848152 | 2.915015398 | iv.816574407 |
522 | 5.898797019 | 5.070133626 | |
523 | vi.61227679 | 3.055198533 | 5.580692107 |
524 | 3.384324655 | 5.709446392 | |
525 | half-dozen.812133494 | 3.106481422 | half dozen.037291638 |
526 | half dozen.01997507 | iii.352796271 | |
527 | 2.433014294 | 4.455099157 | |
528 | 6.954648358 | 3.478515034 | 5.507365279 |
529 | half-dozen.740772565 | 3.041421735 | 5.057507439 |
530 | 5.540114711 | 2.856574003 | |
531 | ii.610227275 | five.336658759 | |
532 | 6.398534572 | two.850772666 | 5.276417409 |
533 | 7.273796903 | 3.090002983 | six.484341196 |
534 | 6.46358156 | two.543606865 | |
535 | 6.277021353 | two.514911166 | five.527457606 |
536 | five.273784075 | iii.035883736 | 5.059985464 |
537 | 6.717228076 | three.185488135 | 5.675099294 |
538 | vi.53804936 | two.744138954 | 5.599407815 |
539 | vi.292823427 | two.46054634 | 5.212601926 |
540 | vi.565907012 | 3.197238521 | 6.019424693 |
541 | 6.007069228 | two.931904594 | 4.755849552 |
542 | 6.469449379 | 3.015055115 | 5.665790961 |
543 | v.742346319 | two.928296169 | 4.528179093 |
544 | 6.33592627 | 2.699044058 | v.253192671 |
545 | 7.310946726 | 3.176237751 | 5.971968439 |
546 | v.557114663 | 2.698836551 | 4.507434243 |
547 | six.448544934 | 3.276606067 | 4.780075282 |
548 | 6.690431249 | 2.789173723 | 5.621815023 |
549 | six.420097165 | 2.661000648 | five.268195154 |
550 | 6.805279462 | 3.002253563 | 5.734747263 |
551 | 5.765415869 | ii.690056168 | 5.188694532 |
552 | 6.076908001 | 2.633463048 | five.156397239 |
553 | vi.019198897 | 2.730698369 | 5.494108505 |
554 | six.202333452 | 2.873420611 | 5.739714467 |
555 | 6.719197256 | 3.081232176 | 5.847800818 |
556 | half dozen.530690672 | 3.181613518 | 5.156705615 |
557 | half-dozen.392246004 | iii.19976668 | 5.261171966 |
558 | 6.289360259 | 2.910074237 | v.326321906 |
559 | 7.485779349 | 3.240348437 | 6.120148532 |
560 | half dozen.394580366 | ii.553628015 | five.606545027 |
561 | 6.707282416 | 2.262913408 | 5.542585923 |
562 | 6.745113199 | 2.724854868 | 5.566792537 |
563 | 5.487935301 | 2.863254489 | |
564 | 6.976643609 | 3.033878139 | five.620664 |
565 | 5.965540926 | 2.811694633 | 4.984088391 |
566 | 6.711221437 | 2.516508003 | 5.364179413 |
567 | 6.432704667 | iii.035454601 | 5.453622922 |
568 | 6.099213146 | 2.569494843 | |
569 | 7.126609541 | 3.351925327 | 5.592046071 |
570 | 6.367266977 | 2.951486496 | |
571 | two.80151845 | five.192895105 | |
572 | 5.505803479 | iii.014627564 | 4.662185713 |
573 | vi.032925199 | two.541278609 | 5.14967384 |
574 | 6.347619299 | 3.375776004 | 5.624434767 |
575 | 6.329965075 | 2.576034515 | 4.753881646 |
576 | half dozen.351091646 | 2.0979197 | v.704961066 |
577 | 5.392434435 | 2.233114993 | 4.570001554 |
578 | vii.257374217 | 3.19342536 | 6.286034101 |
579 | 5.818378461 | four.97727386 | |
580 | 6.452948592 | ii.613291975 | 5.062072369 |
581 | 6.295829768 | 2.697568991 | 5.376369856 |
582 | 7.862482092 | iii.168308823 | 6.059153625 |
583 | 6.917023133 | iii.234141075 | 6.013508121 |
584 | 6.188164373 | two.628099499 | 5.521778155 |
585 | 6.572626017 | 3.104684069 | 5.251029151 |
586 | 5.641511337 | 2.583460776 | iv.492538349 |
587 | 5.669708247 | 2.277983315 | 4.347505906 |
588 | 7.47103209 | three.129383146 | half-dozen.778526376 |
589 | 7.618153087 | 2.777143043 | 6.831610834 |
590 | 7.798703574 | ii.944300182 | 6.740452757 |
591 | 7.029550605 | 2.815865345 | 5.763017682 |
592 | 7.339727259 | iii.361741724 | half dozen.176653226 |
593 | vi.648438748 | 3.141217178 | v.794335743 |
594 | 6.755581944 | three.377012988 | 5.767101535 |
595 | 5.891962505 | 2.484806493 | five.333059468 |
596 | 5.689304418 | 2.958990368 | five.17722397 |
597 | 6.446487673 | iii.238856466 | 5.174232168 |
598 | 7.677656674 | 3.006032794 | vi.39740796 |
599 | 5.390066272 | 2.725182129 | 5.291274744 |
600 | 6.538368723 | 3.23427878 | v.645348596 |
601 | 3.113914563 | 5.470025549 | |
602 | 7.900246972 | 6.920776309 | |
603 | vi.351450532 | 3.077454203 | v.48453153 |
604 | 2.717870378 | 5.467056677 | |
605 | 6.164923856 | 2.770899566 | 4.814069256 |
606 | vii.067220539 | 2.723526264 | 5.91363292 |
607 | vii.469224603 | 2.915791045 | 5.582955086 |
608 | v.191750364 | 3.158086226 | 4.393772663 |
609 | 6.612652296 | three.093602656 | 5.031797818 |
610 | 5.587634012 | 2.327826804 | five.098527987 |
611 | 6.367463667 | 3.116328936 | five.287218531 |
612 | seven.387181428 | iii.356592471 | 6.054308803 |
613 | 6.433775941 | three.330287791 | 5.373859079 |
614 | vi.405787701 | ii.654215953 | four.811085829 |
615 | 6.998228962 | 3.207979506 | v.561095569 |
616 | vi.285147499 | three.204061489 | 5.510463282 |
617 | 5.73680434 | iii.423292793 | 4.831911564 |
618 | 7.28601584 | 2.92603058 | 5.966309029 |
619 | 6.660387174 | 3.090362667 | five.175151669 |
620 | 6.163642151 | ii.429416338 | 5.06119182 |
621 | vi.601545138 | 2.48788365 | 5.309025798 |
622 | 2.580880846 | 5.318516816 | |
623 | 6.87054357 | 3.669405364 | 5.835363999 |
624 | 6.974657332 | 2.737491693 | 5.529412658 |
625 | 6.326144004 | ii.578081053 | 5.454722442 |
626 | 7.02338706 | 3.309176071 | 5.584563246 |
627 | 6.34799272 | 3.058263589 | 5.81239401 |
628 | seven.369863206 | 2.819013411 | 6.433765504 |
629 | 6.035591179 | two.987740822 | four.966720893 |
630 | 6.312125875 | 2.69473574 | 5.841148977 |
631 | 7.135353966 | two.93778659 | 5.519890931 |
632 | 6.71122267 | three.463321088 | 6.138937134 |
633 | 6.077418831 | iii.268125481 | 5.169873694 |
634 | 6.891785557 | 3.582929763 | v.785892205 |
635 | 6.751007478 | three.004939705 | v.97191479 |
636 | v.910620112 | 2.9194914 | 5.184837187 |
637 | six.956319649 | 2.639620324 | v.818449433 |
638 | 6.044982054 | 3.223045852 | iv.446406061 |
639 | six.951763742 | iii.354380821 | 6.017220469 |
640 | 6.028621431 | 2.536970392 | four.823223814 |
641 | half dozen.71995644 | 3.311795353 | 5.750033507 |
642 | vi.859848514 | 2.927281933 | 5.606372092 |
643 | 5.308243727 | 2.742595199 | 5.309811021 |
644 | six.593509326 | ||
645 | half-dozen.969030749 | iii.339707659 | 6.250906762 |
646 | half dozen.076483379 | 2.631741124 | 5.076068688 |
647 | vi.574964848 | ii.820190986 | five.301861938 |
648 | 6.327643702 | ii.856119321 | 5.414097446 |
649 | five.840868674 | 3.091201421 | iv.799055627 |
650 | half-dozen.665013315 | 3.08835721 | 5.157151902 |
651 | 7.190809439 | ii.983084201 | six.05807209 |
652 | 5.30054416 | ii.532071013 | 4.47836125 |
653 | 6.28622788 | 3.139148296 | v.408487987 |
654 | half dozen.065272521 | two.497782318 | v.583022829 |
655 | seven.021146439 | 2.932862195 | 5.557556132 |
656 | 5.202064313 | 2.757104779 | |
657 | half dozen.839026869 | ii.946569804 | five.682390961 |
658 | 6.200252406 | 2.340615588 | five.509220079 |
659 | 6.665940894 | 3.46858013 | 5.688146235 |
660 | v.859939355 | 2.908982699 | 4.848409318 |
661 | 6.58126522 | two.836765608 | 6.193956317 |
662 | six.417243231 | two.504959535 | five.227802771 |
663 | 5.637686018 | 2.848742081 | 5.07381295 |
664 | six.983181737 | 2.243119745 | vi.066119538 |
665 | half-dozen.640720276 | two.943695355 | 5.466583014 |
666 | 6.561439537 | 3.053364878 | five.349776457 |
667 | 7.803901092 | iii.052054971 | |
668 | 6.173901376 | 2.458687481 | 5.0857672 |
669 | 6.411885873 | two.348779119 | 5.494069641 |
670 | 6.907124635 | iii.203770823 | 5.822535493 |
671 | half-dozen.773052091 | iii.308786935 | 5.597897547 |
672 | 6.875996866 | 3.071182603 | five.807833902 |
673 | 6.374848942 | 2.836221322 | 5.637856593 |
674 | 7.723698907 | 3.827801927 | six.361280006 |
675 | seven.790623623 | 3.197924573 | half-dozen.553369902 |
676 | six.633335605 | three.279713598 | 5.318485791 |
677 | 5.842704711 | 2.293177675 | 5.36913402 |
678 | 7.19587509 | 3.095657644 | |
679 | 2.162919479 | five.32011476 | |
680 | 6.095636972 | 3.056823087 | |
681 | vii.35677444 | 2.777208625 | 6.427840404 |
682 | 6.798846231 | 3.046898154 | 5.330408432 |
683 | 5.756830236 | 2.777807737 | v.013815434 |
684 | 5.81377742 | 3.40737999 | v.064669953 |
685 | 5.815406568 | ii.969360976 | 5.329481915 |
686 | v.788755982 | 2.313228351 | |
687 | 2.701142064 | 5.13779489 | |
688 | 6.862296848 | 2.79866518 | five.925347261 |
689 | six.344813071 | 2.607958519 | 5.657832706 |
690 | half-dozen.117897001 | iii.479434575 | 5.354741253 |
691 | six.236267786 | 3.541420809 | 5.203276245 |
692 | 2.083277105 | 5.36645851 | |
693 | 6.320562189 | ii.98832012 | v.135367344 |
694 | 6.53042271 | 2.890928531 | 5.388230695 |
695 | 6.318663383 | 2.577523386 | 5.523441852 |
696 | vi.236598274 | three.644981839 | v.239226364 |
697 | half-dozen.873232375 | 3.526012282 | five.683983078 |
698 | 7.21910726 | 3.080199203 | five.722077525 |
699 | 5.965145555 | 2.917907184 | 4.781154619 |
700 | half-dozen.529135833 | 3.586178397 | |
701 | 6.647882182 | iii.063206338 | 6.056903059 |
702 | five.491980665 | 2.681467513 | four.682919201 |
703 | half dozen.959292137 | 2.681792903 | 5.488107432 |
704 | 6.441914976 | three.104948626 | v.276847485 |
705 | 6.554693633 | 3.312885109 | v.235580431 |
706 | v.822954213 | two.13724747 | 5.011883898 |
707 | 6.969717382 | 3.074993703 | 6.184726408 |
708 | six.4949769 | 2.62751541 | 5.349595475 |
709 | 6.548366404 | three.037629932 | 5.666084685 |
710 | five.44121063 | two.678299801 | iv.768387262 |
711 | half dozen.882534683 | ii.774060617 | half-dozen.25167915 |
712 | 6.149605037 | iii.041513947 | 5.344477923 |
713 | 6.504210998 | 3.054186763 | five.378619813 |
714 | 6.541726037 | 2.98113174 | v.482986985 |
715 | v.935450567 | 2.671557078 | |
716 | half-dozen.865264955 | iii.074573652 | 6.248294868 |
717 | 7.093553427 | 2.503175962 | 5.802002725 |
718 | 3.096375539 | 5.50895027 | |
719 | 6.760098312 | 3.210036232 | vi.032279009 |
720 | six.630965624 | two.673107339 | v.127649617 |
721 | five.8383125 | 2.53801504 | 4.710535332 |
722 | 5.990428682 | 2.728738505 | five.179668477 |
723 | vi.906221388 | two.855281852 | 5.54383149 |
724 | 6.184404157 | iii.105228867 | four.631220717 |
725 | 3.027782602 | 5.745608768 | |
726 | 6.610255662 | 3.346680899 | 5.745695617 |
727 | v.646048779 | 2.967915772 | four.674766814 |
728 | 6.577690913 | 5.952842175 | |
729 | 6.097459983 | 2.947614672 | five.267755372 |
730 | 6.893944366 | three.252066137 | 5.885174278 |
731 | 6.365304059 | 3.045120675 | 5.560593074 |
732 | half-dozen.19204742 | 2.907025913 | 5.207118002 |
733 | 5.863596942 | 2.293239269 | four.751303504 |
734 | 6.388881714 | ii.693869695 | five.356712127 |
735 | 6.373823385 | two.398830419 | 5.182120392 |
736 | 6.346669703 | 2.927987914 | v.411925151 |
737 | 7.290266728 | 3.38089829 | 6.13100335 |
738 | seven.333680842 | three.44118482 | half dozen.55366392 |
739 | 5.862725791 | two.805573385 | four.923487697 |
740 | 6.816755963 | 2.911537388 | 5.68859797 |
741 | 6.104382464 | three.062830097 | v.344196013 |
742 | 6.088150338 | 2.609843922 | 4.70970449 |
743 | 6.724201195 | ii.594256692 | 5.451185434 |
744 | half dozen.04155974 | 3.030197934 | v.457959941 |
745 | half dozen.478882423 | 3.039459294 | five.453958612 |
746 | 5.909400729 | 2.671665708 | five.209582128 |
747 | half-dozen.074869779 | 2.734110348 | |
748 | half-dozen.507591506 | 3.155259074 | |
749 | seven.048207764 | 3.561434196 | six.173114664 |
750 | vi.859591454 | 3.097637066 | vi.077470429 |
751 | vi.502828644 | 3.012544556 | 5.717094943 |
752 | 6.543688635 | 2.939206807 | 5.768513537 |
753 | half-dozen.947365982 | 2.969083702 | 5.372936738 |
754 | six.000902856 | iii.040175793 | 4.907538681 |
755 | half-dozen.385587802 | three.180423433 | 5.514308339 |
756 | 7.616001392 | 6.167908098 | |
757 | 6.194870953 | iii.145440649 | 5.437958082 |
758 | vii.484211558 | ii.830996459 | 6.13372246 |
759 | 6.742442905 | 2.470008049 | five.651739458 |
760 | 7.230229643 | 6.059799802 | |
761 | 5.909346245 | 2.842542123 | 4.963689858 |
762 | half dozen.886313716 | iii.202925072 | six.125879069 |
763 | 6.515937784 | 2.935279474 | 5.987526043 |
764 | five.655381835 | ii.856291665 | 4.526487173 |
765 | 3.683022288 | 6.191038619 | |
766 | six.47153464 | 2.870569859 | 5.537712449 |
767 | half-dozen.793824238 | 2.975410333 | 5.542408798 |
768 | 4.731211564 | two.030710062 | four.734570511 |
769 | six.201060414 | 3.17712095 | 4.930366476 |
770 | six.928172109 | two.843839525 | five.835101158 |
771 | 6.18716629 | 3.057143967 | 5.366968415 |
772 | 6.43250576 | 2.723287975 | v.571762394 |
773 | half dozen.340395178 | 2.747118911 | five.49767446 |
774 | six.587795787 | 2.472987961 | v.693176882 |
775 | five.337454477 | two.712772875 | iv.192798717 |
776 | half-dozen.005019979 | two.999164885 | 5.123419032 |
777 | 6.382910703 | 2.88796337 | five.136238929 |
778 | vi.963540996 | 3.141993596 | 6.398804617 |
779 | 7.465998751 | 2.829080791 | six.286658931 |
780 | 6.416408064 | three.111623512 | five.74152701 |
781 | half-dozen.885784569 | three.068747126 | |
782 | 7.633157481 | 3.237200206 | 6.358721799 |
783 | vii.242336185 | 3.340892136 | 5.904823771 |
784 | five.448297305 | two.762608645 | 4.273965391 |
785 | half dozen.121447656 | two.29909954 | |
786 | five.895130006 | 3.149235721 | 4.679209119 |
787 | 7.001117625 | three.442429324 | 5.887806882 |
788 | half dozen.44544705 | 6.240777935 | |
789 | vii.326822571 | 2.996530771 | 5.770012254 |
790 | 7.374211028 | 2.67010524 | v.413709901 |
791 | 7.141049395 | 3.429032142 | 6.409921668 |
792 | 5.028619119 | two.668689485 | 4.189503449 |
793 | 6.856599717 | 3.03932629 | 5.921794087 |
794 | v.618907712 | 3.155653649 | 4.955563338 |
795 | seven.370619549 | two.773272278 | six.152745663 |
796 | 6.390390721 | 5.189941699 | |
797 | v.848626072 | 2.813704365 | 5.028411705 |
798 | five.654422583 | ||
799 | half-dozen.414603995 | 3.166971957 | |
800 | v.976247094 | 3.187293627 | 5.309866398 |
801 | 5.801104254 | iii.131410352 | 4.670557887 |
802 | 6.165851951 | 2.427969621 | 5.528737953 |
803 | half dozen.761232539 | 2.959653609 | 5.624054851 |
804 | 2.926069319 | 5.456662471 | |
805 | vi.41446119 | two.764500546 | five.695601289 |
806 | 7.42328788 | iii.11486796 | vi.608234041 |
807 | 6.854933071 | 3.176664077 | 6.040458517 |
808 | vii.185397014 | 2.959258567 | 5.702759296 |
809 | v.953867368 | 4.656038955 | |
810 | 6.864837403 | 3.289436966 | 5.583431265 |
811 | 5.975805122 | ii.721746392 | 4.713245298 |
812 | vii.053252891 | iii.373140409 | six.132593126 |
813 | 6.38353855 | three.000919803 | 5.44152728 |
814 | half-dozen.23576097 | 2.335090215 | 5.217804228 |
815 | 7.384244705 | 3.42323634 | 6.157317493 |
816 | 5.459339528 | 2.226694828 | 4.52981392 |
817 | vi.433274339 | 3.431879647 | five.604216662 |
818 | v.91359456 | 2.852480831 | 5.520062754 |
819 | v.831833057 | 2.926688687 | 4.931949498 |
820 | 6.016496629 | 2.342396427 | four.988016639 |
821 | six.592396415 | 3.148132239 | 5.283223494 |
822 | 7.110408296 | 2.857297872 | 5.095279256 |
823 | 5.895826338 | 2.751826931 | five.201843687 |
824 | vi.54228262 | iii.309066932 | five.402027328 |
825 | 6.081257005 | 3.021715472 | 5.36240234 |
826 | 6.674854567 | 3.319071752 | vi.172638196 |
827 | 5.868795579 | 3.079178846 | |
828 | 6.071459953 | four.773271459 | |
829 | five.587883428 | 2.753072156 | v.337453465 |
830 | 5.790877714 | ii.712641662 | 5.308958325 |
831 | 4.872260779 | 2.67820185 | 4.392126164 |
832 | half dozen.577404217 | ii.738606092 | 5.639161327 |
833 | 6.57706149 | 2.891796508 | 5.241028987 |
834 | five.646285293 | 2.38765375 | 4.583706529 |
835 | five.854938269 | 2.238023484 | 4.895915242 |
836 | 6.24727529 | 2.775831413 | 5.573656648 |
837 | 5.007618331 | ii.435818491 | iv.632652221 |
838 | vi.012049232 | 2.800169844 | 4.94654405 |
839 | six.377780057 | 2.840692756 | 5.219683398 |
840 | 5.668558297 | 3.044608814 | 4.740876286 |
841 | six.090831937 | 2.647675604 | 4.82150624 |
842 | half-dozen.12346006 | two.851475671 | 5.079451122 |
843 | 5.478560943 | 2.091431872 | four.451142288 |
844 | 7.148930808 | 2.802860889 | 6.088743835 |
845 | 5.753584003 | 2.697651009 | 5.105016611 |
846 | 7.105606631 | 5.757815427 | |
847 | 7.102723186 | two.631286578 | half dozen.254712377 |
848 | 7.626859731 | 2.974175109 | |
849 | 5.931890939 | ii.942109357 | |
850 | half dozen.869105517 | three.37332911 | 5.647986087 |
851 | 6.443960535 | 2.630250388 | five.397036229 |
852 | 7.100598544 | 3.785616322 | 6.01540748 |
853 | 6.682333655 | ii.95234948 | 5.665606767 |
854 | 5.571719858 | 2.910688735 | 4.892076373 |
855 | 5.998584952 | two.695259213 | 5.148601158 |
856 | 7.023660168 | ii.92282203 | |
857 | six.616920258 | 2.869741238 | 5.410172661 |
858 | 2.714604072 | 5.770686798 | |
859 | 6.195561216 | 3.191554174 | five.431832405 |
860 | six.457802178 | 2.23634164 | 5.501710938 |
861 | half dozen.517772502 | three.363905893 | v.691272279 |
862 | 6.182661023 | 3.05337056 | four.990015886 |
863 | six.559883378 | 2.528630586 | 5.426205067 |
864 | 3.424832616 | 5.481893639 | |
865 | five.554973543 | 2.91263083 | 4.498922551 |
866 | v.568143918 | 3.326514414 | 5.005013191 |
867 | 6.379341411 | 2.847326789 | five.484690695 |
868 | vii.199666346 | 2.406002178 | 5.790075623 |
869 | 7.164809316 | 3.283090619 | 6.18970345 |
870 | v.744972618 | 2.537607748 | 5.026952945 |
871 | 7.523461135 | three.247928271 | 6.461976569 |
872 | 6.347197704 | 2.996801274 | 5.078589226 |
873 | three.296874914 | 5.16866565 | |
874 | six.583622509 | 2.706346071 | 6.02633288 |
875 | 6.516219506 | 5.450645461 | |
876 | vii.948161657 | 3.171346429 | 6.610814151 |
877 | half dozen.214544783 | v.274990073 | |
878 | 7.101192664 | 3.254502449 | v.520329751 |
879 | 8.224488512 | 3.220905495 | six.755875487 |
880 | half dozen.15025521 | 2.831042752 | 5.279647889 |
881 | vii.255797825 | 3.10914736 | 6.316836621 |
882 | 6.126983222 | two.761388593 | five.565776554 |
883 | 7.06500477 | 3.285055429 | 6.002420824 |
884 | 6.889494908 | 3.046381288 | 5.731919586 |
885 | half dozen.626984613 | iii.417857339 | 6.047293674 |
886 | seven.914676364 | 3.183004548 | half-dozen.996488204 |
887 | 7.006554674 | 3.223244676 | 5.410157098 |
888 | half dozen.088301774 | 2.713214818 | five.201547565 |
889 | 6.348645017 | two.979805177 | v.211267281 |
890 | 5.521177409 | 2.716547177 | 4.623514324 |
891 | 2.935019872 | iv.720309178 | |
892 | half-dozen.807214047 | 3.18175499 | 5.723933131 |
893 | 6.55028443 | ii.861631184 | v.27244163 |
894 | 6.78683453 | 3.156770113 | 5.888711697 |
895 | half dozen.998304763 | three.199458453 | 6.122541676 |
896 | 6.635739427 | two.915487967 | 5.196476244 |
897 | 6.509810671 | 2.80277108 | 5.618761709 |
898 | 6.608027047 | 3.208097205 | 5.824851675 |
899 | 6.313161515 | 2.673293329 | |
900 | 5.333504968 | 2.716981663 | 4.798877379 |
901 | half dozen.704684173 | 2.750668852 | 5.660910808 |
902 | 6.952466001 | 2.639588188 | 5.587814883 |
903 | 7.105135303 | 2.981888546 | |
904 | 6.129104899 | 2.610570784 | v.68944185 |
905 | 6.303037744 | ii.727467707 | 5.353794094 |
906 | 7.257309233 | 3.171028723 | 6.340405708 |
907 | 5.930714887 | 2.468681288 | 5.131516943 |
908 | ii.83709289 | v.28957019 | |
909 | seven.353579205 | 3.526518234 | 5.995529428 |
910 | 6.663205204 | 3.381587056 | v.830106031 |
911 | 6.679811331 | 2.922999385 | 5.835536654 |
912 | 6.350602965 | ii.527071862 | 5.059347192 |
913 | 6.352274786 | 2.816683128 | 5.159136146 |
914 | 5.983009204 | 2.68471771 | five.224723627 |
915 | 6.529666447 | ii.985662435 | 5.631478844 |
916 | 5.403304065 | ii.565288344 | iv.586527881 |
917 | v.699791021 | 2.844288245 | five.112924441 |
918 | 6.042107413 | ii.574231537 | 4.992238098 |
919 | 7.596342714 | 3.127933704 | six.02933704 |
920 | 6.622056951 | 3.216959006 | 5.592505729 |
921 | 5.980087269 | 2.516425661 | 4.781188786 |
922 | half-dozen.48866896 | 3.26898359 | 5.096510092 |
923 | 7.508290067 | 3.265892954 | half-dozen.126495936 |
924 | 3.03149215 | v.461709597 | |
925 | v.124719534 | 2.573639988 | 4.081315679 |
926 | 6.173027636 | 2.439631461 | 5.42374891 |
927 | 6.346574484 | ii.996543292 | v.187475889 |
928 | vi.964105185 | iii.786238195 | six.250289592 |
929 | two.763767486 | 6.039445189 | |
930 | 5.818982877 | 2.252896807 | 4.943672454 |
931 | 5.727388131 | two.635368253 | four.86443497 |
932 | 6.149169556 | 2.992043024 | 4.842139363 |
933 | seven.297369441 | 2.752120128 | 6.085832098 |
934 | 7.091600427 | 3.336707587 | 6.044060525 |
935 | five.824179096 | 2.793090697 | 5.147765179 |
936 | 5.667848685 | three.074529731 | v.362884075 |
937 | 6.524859292 | 5.431102226 | |
938 | vii.335477576 | two.859445742 | 5.920663355 |
939 | half-dozen.110587725 | ii.667814196 | 5.229102796 |
940 | 6.536349456 | 5.787604321 | |
941 | v.723132068 | 3.013331066 | 4.5534081 |
942 | 2.906800113 | 4.872171615 | |
943 | half-dozen.621117993 | 3.226247301 | 5.204712195 |
944 | 7.34651448 | 3.049692728 | vi.043312172 |
945 | half dozen.134269523 | three.153901241 | 5.981122228 |
946 | half dozen.892555055 | 2.982528997 | |
947 | 6.793105643 | 3.133454112 | |
948 | half dozen.190593978 | ii.797565343 | half dozen.064474062 |
949 | 5.946576321 | three.225546531 | 5.212781795 |
950 | 6.920798909 | 3.304917306 | 5.963432457 |
951 | 6.820366716 | 3.175006316 | 5.864261754 |
952 | 6.114129009 | two.769316459 | 5.184444695 |
953 | 7.089110832 | 2.522235518 | half-dozen.332972597 |
954 | 6.575039524 | 2.477052652 | five.620073905 |
955 | 6.815064637 | 3.065656017 | 5.866520539 |
956 | half-dozen.055855733 | ii.65699961 | |
957 | 7.333391803 | two.995660773 | 6.195690609 |
958 | half dozen.36508711 | 3.153302066 | 5.587709589 |
959 | 6.727598272 | 3.021181639 | v.749229167 |
960 | 6.80299592 | iii.134445312 | five.965444845 |
961 | 6.694415496 | 2.414763157 | v.676912262 |
962 | v.939014707 | 2.535329108 | five.007509501 |
963 | 7.059810347 | 2.936987146 | 5.884478866 |
964 | five.913797464 | 2.570626654 | 5.849111697 |
965 | vi.446742802 | ii.888090405 | five.161475053 |
966 | 7.391870566 | 3.719151768 | 6.406988863 |
967 | half-dozen.145695825 | ii.532725619 | five.4755056 |
968 | 7.026912174 | 3.544278859 | v.658088358 |
969 | 6.544136366 | 2.670677935 | five.305552886 |
970 | vi.056404683 | 2.861245068 | 5.111073845 |
971 | 5.223327575 | 2.604560008 | v.107479142 |
972 | v.746141934 | 2.82393141 | 4.815151967 |
973 | six.531449035 | 2.570165363 | five.39013449 |
974 | vii.400601534 | 2.783360466 | 6.17621021 |
975 | 6.500163146 | 2.844680062 | 4.818014476 |
976 | 6.465219917 | 3.102333151 | 5.271523119 |
977 | v.134797901 | 2.580909163 | |
978 | 8.162359078 | 6.968209607 | |
979 | 5.644791814 | 2.93365626 | 5.455700419 |
980 | half dozen.544821214 | 2.308736531 | v.246605628 |
981 | 6.355384793 | three.220849847 | 5.46918944 |
982 | 5.278224788 | 2.619898827 | iv.710000995 |
983 | seven.193750271 | three.0197951 | |
984 | 7.510068507 | three.187937574 | 6.137844448 |
985 | 6.989657197 | 5.929510536 | |
986 | 6.435838538 | 3.06777211 | v.625525688 |
987 | half-dozen.229067306 | 3.398439489 | 5.338445493 |
988 | 7.101462115 | two.91433499 | 5.855362628 |
989 | seven.011163248 | 2.714943701 | 5.85555988 |
990 | 6.175844835 | ii.679135934 | 5.388903997 |
991 | 6.232457453 | ii.923147266 | v.171955231 |
992 | vii.091996326 | 2.786810567 | five.703815524 |
993 | 7.001000889 | 3.058238433 | 6.46804607 |
994 | iv.816042295 | ii.377223913 | iv.541477951 |
995 | 5.542285388 | two.609662416 | 4.862442696 |
996 | half dozen.177736037 | 2.2213595 | five.543332602 |
997 | five.566539823 | ||
998 | 2.541728489 | ||
999 | 2.862564458 | 4.923337878 |
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Source: https://www.bayesserver.com/docs/walkthroughs/walkthrough-7-missing-data
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