Pagerank Project
A search engine for the website https://www.lawfareblog.com. This website provides legal analysis on US national security issues.
The power method
Implement the WebGraph.power_method function in pagerank.py for computing the pagerank vector.
Part 1: Computing the pagerank vector.
$ python3 pagerank.py --data=./small.csv.gz --verbose
DEBUG:root:computing indices
DEBUG:root:computing values
DEBUG:root:k = 0 accuracy = 0.352277547121048
DEBUG:root:k = 1 accuracy = 0.17240802943706512
DEBUG:root:k = 2 accuracy = 0.11609409004449844
DEBUG:root:k = 3 accuracy = 0.05598752573132515
DEBUG:root:k = 4 accuracy = 0.028072437271475792
DEBUG:root:k = 5 accuracy = 0.011938750743865967
DEBUG:root:k = 6 accuracy = 0.0053910622373223305
DEBUG:root:k = 7 accuracy = 0.002197766210883856
DEBUG:root:k = 8 accuracy = 0.0009521737229079008
DEBUG:root:k = 9 accuracy = 0.0003838690463453531
DEBUG:root:k = 10 accuracy = 0.00016365274495910853
DEBUG:root:k = 11 accuracy = 6.61788581055589e-05
DEBUG:root:k = 12 accuracy = 2.8042155463481322e-05
DEBUG:root:k = 13 accuracy = 1.1461937901913188e-05
DEBUG:root:k = 14 accuracy = 4.855583938478958e-06
DEBUG:root:k = 15 accuracy = 2.0160257463430753e-06
DEBUG:root:k = 16 accuracy = 8.299625733343419e-07
INFO:root:rank=0 pagerank=6.0257e-01 url=4
INFO:root:rank=1 pagerank=4.6414e-01 url=6
INFO:root:rank=2 pagerank=3.4544e-01 url=5
INFO:root:rank=3 pagerank=1.9498e-01 url=2
INFO:root:rank=4 pagerank=9.9210e-02 url=3
INFO:root:rank=5 pagerank=8.9347e-02 url=1
Part 2: Using --search_query argument. Using--search_query flag that takes a string as a parameter. The program returns all urls that match the query string sorted according to their pagerank, meaning that this gives us the most important pages on the blog related to our query.
$ python3 pagerank.py --data=./lawfareblog.csv.gz --search_query='corona'
INFO:root:rank=0 pagerank=4.5861e-03 url=www.lawfareblog.com/lawfare-podcast-united-nations-and-coronavirus-crisis
INFO:root:rank=1 pagerank=4.0460e-03 url=www.lawfareblog.com/house-oversight-committee-holds-day-two-hearing-government-coronavirus-response
INFO:root:rank=2 pagerank=2.6116e-03 url=www.lawfareblog.com/britains-coronavirus-response
INFO:root:rank=3 pagerank=2.5390e-03 url=www.lawfareblog.com/prosecuting-purposeful-coronavirus-exposure-terrorism
INFO:root:rank=4 pagerank=2.3557e-03 url=www.lawfareblog.com/israeli-emergency-regulations-location-tracking-coronavirus-carriers
INFO:root:rank=5 pagerank=2.2895e-03 url=www.lawfareblog.com/why-congress-conducting-business-usual-face-coronavirus
INFO:root:rank=6 pagerank=2.2727e-03 url=www.lawfareblog.com/livestream-house-oversight-committee-holds-hearing-government-coronavirus-response
INFO:root:rank=7 pagerank=2.2520e-03 url=www.lawfareblog.com/congressional-homeland-security-committees-seek-ways-support-state-federal-responses-coronavirus
INFO:root:rank=8 pagerank=2.1878e-03 url=www.lawfareblog.com/paper-hearing-experts-debate-digital-contact-tracing-and-coronavirus-privacy-concerns
INFO:root:rank=9 pagerank=2.0339e-03 url=www.lawfareblog.com/cyberlaw-podcast-how-israel-fighting-coronavirus
$ python3 pagerank.py --data=./lawfareblog.csv.gz --search_query='trump'
INFO:root:rank=0 pagerank=6.6254e-02 url=www.lawfareblog.com/donald-trump-and-politically-weaponized-executive-branch
INFO:root:rank=1 pagerank=6.0194e-02 url=www.lawfareblog.com/trump-asks-supreme-court-stay-congressional-subpeona-tax-returns
INFO:root:rank=2 pagerank=3.4969e-02 url=www.lawfareblog.com/trump-administrations-worrying-new-policy-israeli-settlements
INFO:root:rank=3 pagerank=3.2193e-02 url=www.lawfareblog.com/document-trump-revokes-obama-executive-order-counterterrorism-strike-casualty-reporting
INFO:root:rank=4 pagerank=3.0971e-02 url=www.lawfareblog.com/dc-circuit-overrules-district-courts-due-process-ruling-qasim-v-trump
INFO:root:rank=5 pagerank=2.8460e-02 url=www.lawfareblog.com/how-trumps-approach-middle-east-ignores-past-future-and-human-condition
INFO:root:rank=6 pagerank=2.5252e-02 url=www.lawfareblog.com/why-trump-cant-buy-greenland
INFO:root:rank=7 pagerank=2.2457e-02 url=www.lawfareblog.com/oral-argument-summary-qassim-v-trump
INFO:root:rank=8 pagerank=2.1463e-02 url=www.lawfareblog.com/dc-circuit-court-denies-trump-rehearing-mazars-case
INFO:root:rank=9 pagerank=2.1103e-02 url=www.lawfareblog.com/second-circuit-rules-mazars-must-hand-over-trump-tax-returns-new-york-prosecutors
$ python3 pagerank.py --data=./lawfareblog.csv.gz --search_query='iran'
INFO:root:rank=0 pagerank=6.6142e-02 url=www.lawfareblog.com/praise-presidents-iran-tweets
INFO:root:rank=1 pagerank=2.9199e-02 url=www.lawfareblog.com/how-us-iran-tensions-could-disrupt-iraqs-fragile-peace
INFO:root:rank=2 pagerank=1.7709e-02 url=www.lawfareblog.com/cyber-command-operational-update-clarifying-june-2019-iran-operation
INFO:root:rank=3 pagerank=1.4604e-02 url=www.lawfareblog.com/aborted-iran-strike-fine-line-between-necessity-and-revenge
INFO:root:rank=4 pagerank=8.4512e-03 url=www.lawfareblog.com/iranian-hostage-crisis-and-its-effect-american-politics
INFO:root:rank=5 pagerank=8.3989e-03 url=www.lawfareblog.com/parsing-state-departments-letter-use-force-against-iran
INFO:root:rank=6 pagerank=8.2581e-03 url=www.lawfareblog.com/announcing-united-states-and-use-force-against-iran-new-lawfare-e-book
INFO:root:rank=7 pagerank=8.0561e-03 url=www.lawfareblog.com/trump-moves-cut-irans-oil-revenues-whats-his-endgame
INFO:root:rank=8 pagerank=7.1939e-03 url=www.lawfareblog.com/us-names-iranian-revolutionary-guard-terrorist-organization-and-sanctions-international-criminal
INFO:root:rank=9 pagerank=5.9405e-03 url=www.lawfareblog.com/iran-shoots-down-us-drone-domestic-and-international-legal-implications
Part 3: Using --filter_ratio argument. Get a list of the pages with the largest pagerank by running
$ python3 pagerank.py --data=./lawfareblog.csv.gz
INFO:root:rank=0 pagerank=8.4183e+00 url=www.lawfareblog.com/litigation-documents-related-appointment-matthew-whitaker-acting-attorney-general
INFO:root:rank=1 pagerank=8.4183e+00 url=www.lawfareblog.com/lawfare-job-board
INFO:root:rank=2 pagerank=8.4183e+00 url=www.lawfareblog.com/documents-related-mueller-investigation
INFO:root:rank=3 pagerank=8.4183e+00 url=www.lawfareblog.com/litigation-documents-resources-related-travel-ban
INFO:root:rank=4 pagerank=8.4183e+00 url=www.lawfareblog.com/subscribe-lawfare
INFO:root:rank=5 pagerank=8.4183e+00 url=www.lawfareblog.com/masthead
INFO:root:rank=6 pagerank=8.4183e+00 url=www.lawfareblog.com/topics
INFO:root:rank=7 pagerank=8.4183e+00 url=www.lawfareblog.com/our-comments-policy
INFO:root:rank=8 pagerank=8.4183e+00 url=www.lawfareblog.com/upcoming-events
INFO:root:rank=9 pagerank=8.4183e+00 url=www.lawfareblog.com/about-lawfare-brief-history-term-and-site
Since these pages are not articles, we need to modify the P matrix by removing all links to non-article pages. One way to do so is to use --filter_ratio argument. It will remove all pages that have more links than the specified fraction.
$ python3 pagerank.py --data=./lawfareblog.csv.gz --filter_ratio=0.2
INFO:root:rank=0 pagerank=4.2773e+00 url=www.lawfareblog.com/trump-asks-supreme-court-stay-congressional-subpeona-tax-returns
INFO:root:rank=1 pagerank=2.7717e+00 url=www.lawfareblog.com/livestream-nov-21-impeachment-hearings-0
INFO:root:rank=2 pagerank=2.7533e+00 url=www.lawfareblog.com/opening-statement-david-holmes
INFO:root:rank=3 pagerank=1.8720e+00 url=www.lawfareblog.com/senate-examines-threats-homeland
INFO:root:rank=4 pagerank=1.7417e+00 url=www.lawfareblog.com/what-make-first-day-impeachment-hearings
INFO:root:rank=5 pagerank=1.7411e+00 url=www.lawfareblog.com/livestream-house-armed-services-committee-hearing-f-35-program
INFO:root:rank=6 pagerank=1.7347e+00 url=www.lawfareblog.com/whats-house-resolution-impeachment
INFO:root:rank=7 pagerank=1.6384e+00 url=www.lawfareblog.com/congress-us-policy-toward-syria-and-turkey-overview-recent-hearings
INFO:root:rank=8 pagerank=1.5597e+00 url=www.lawfareblog.com/summary-david-holmess-deposition-testimony
INFO:root:rank=9 pagerank=9.1265e-01 url=www.lawfareblog.com/events
(When Google calculates their P matrix for the web, they use a similar process to modify the P matrix in order to reduce spam results.)
Part 4: Pagerank rankings when using different arguments. The runtime of pagerank depends heavily on the eigengap of the $\bar\bar P$ matrix, and that this eigengap is bounded by the alpha parameter.
$ python3 pagerank.py --data=./lawfareblog.csv.gz --verbose
DEBUG:root:computing indices
DEBUG:root:computing values
DEBUG:root:k = 0 accuracy = 20.517486572265625
DEBUG:root:k = 1 accuracy = 6.1109771728515625
DEBUG:root:k = 2 accuracy = 1.9210950136184692
DEBUG:root:k = 3 accuracy = 0.5892455577850342
DEBUG:root:k = 4 accuracy = 0.17654791474342346
DEBUG:root:k = 5 accuracy = 0.052502136677503586
DEBUG:root:k = 6 accuracy = 0.015809549018740654
DEBUG:root:k = 7 accuracy = 0.004991061054170132
DEBUG:root:k = 8 accuracy = 0.0017765561351552606
DEBUG:root:k = 9 accuracy = 0.0007613134803250432
DEBUG:root:k = 10 accuracy = 0.00044134759809821844
DEBUG:root:k = 11 accuracy = 0.00031420012237504125
DEBUG:root:k = 12 accuracy = 0.00024128059158101678
DEBUG:root:k = 13 accuracy = 0.00019497974426485598
DEBUG:root:k = 14 accuracy = 0.00016523025988135487
DEBUG:root:k = 15 accuracy = 0.00013549115101341158
DEBUG:root:k = 16 accuracy = 0.00012226455146446824
DEBUG:root:k = 17 accuracy = 0.00010244093573419377
DEBUG:root:k = 18 accuracy = 7.931522850412875e-05
DEBUG:root:k = 19 accuracy = 6.939536979189143e-05
DEBUG:root:k = 20 accuracy = 5.61788838240318e-05
DEBUG:root:k = 21 accuracy = 5.6173459597630426e-05
DEBUG:root:k = 22 accuracy = 4.296232873457484e-05
DEBUG:root:k = 23 accuracy = 3.634977474575862e-05
DEBUG:root:k = 24 accuracy = 3.3044227166101336e-05
DEBUG:root:k = 25 accuracy = 2.9740098398178816e-05
DEBUG:root:k = 26 accuracy = 2.313325967406854e-05
DEBUG:root:k = 27 accuracy = 1.6525240425835364e-05
DEBUG:root:k = 28 accuracy = 1.9825100025627762e-05
DEBUG:root:k = 29 accuracy = 1.32194481921033e-05
DEBUG:root:k = 30 accuracy = 9.91546858131187e-06
DEBUG:root:k = 31 accuracy = 9.912599125527777e-06
DEBUG:root:k = 32 accuracy = 9.9125600172556e-06
DEBUG:root:k = 33 accuracy = 3.3085054838011274e-06
DEBUG:root:k = 34 accuracy = 9.911613233271055e-06
DEBUG:root:k = 35 accuracy = 6.609691354242386e-06
DEBUG:root:k = 36 accuracy = 3.30598550135619e-06
DEBUG:root:k = 37 accuracy = 9.911068445944693e-06
DEBUG:root:k = 38 accuracy = 3.308485702291364e-06
DEBUG:root:k = 39 accuracy = 6.831437104892757e-08
INFO:root:rank=0 pagerank=8.4183e+00 url=www.lawfareblog.com/litigation-documents-related-appointment-matthew-whitaker-acting-attorney-general
INFO:root:rank=1 pagerank=8.4183e+00 url=www.lawfareblog.com/lawfare-job-board
INFO:root:rank=2 pagerank=8.4183e+00 url=www.lawfareblog.com/documents-related-mueller-investigation
INFO:root:rank=3 pagerank=8.4183e+00 url=www.lawfareblog.com/litigation-documents-resources-related-travel-ban
INFO:root:rank=4 pagerank=8.4183e+00 url=www.lawfareblog.com/subscribe-lawfare
INFO:root:rank=5 pagerank=8.4183e+00 url=www.lawfareblog.com/masthead
INFO:root:rank=6 pagerank=8.4183e+00 url=www.lawfareblog.com/topics
INFO:root:rank=7 pagerank=8.4183e+00 url=www.lawfareblog.com/our-comments-policy
INFO:root:rank=8 pagerank=8.4183e+00 url=www.lawfareblog.com/upcoming-events
INFO:root:rank=9 pagerank=8.4183e+00 url=www.lawfareblog.com/about-lawfare-brief-history-term-and-site
$ python3 pagerank.py --data=./lawfareblog.csv.gz --verbose --alpha=0.99999
INFO:root:rank=0 pagerank=1.0624e+01 url=www.lawfareblog.com/snowden-revelations
INFO:root:rank=1 pagerank=1.0624e+01 url=www.lawfareblog.com/lawfare-job-board
INFO:root:rank=2 pagerank=1.0624e+01 url=www.lawfareblog.com/masthead
INFO:root:rank=3 pagerank=1.0624e+01 url=www.lawfareblog.com/litigation-documents-resources-related-travel-ban
INFO:root:rank=4 pagerank=1.0624e+01 url=www.lawfareblog.com/subscribe-lawfare
INFO:root:rank=5 pagerank=1.0624e+01 url=www.lawfareblog.com/litigation-documents-related-appointment-matthew-whitaker-acting-attorney-general
INFO:root:rank=6 pagerank=1.0624e+01 url=www.lawfareblog.com/documents-related-mueller-investigation
INFO:root:rank=7 pagerank=1.0624e+01 url=www.lawfareblog.com/our-comments-policy
INFO:root:rank=8 pagerank=1.0624e+01 url=www.lawfareblog.com/upcoming-events
INFO:root:rank=9 pagerank=1.0624e+01 url=www.lawfareblog.com/topics
$ python3 pagerank.py --data=./lawfareblog.csv.gz --verbose --filter_ratio=0.2
INFO:root:rank=0 pagerank=4.2773e+00 url=www.lawfareblog.com/trump-asks-supreme-court-stay-congressional-subpeona-tax-returns
INFO:root:rank=1 pagerank=2.7717e+00 url=www.lawfareblog.com/livestream-nov-21-impeachment-hearings-0
INFO:root:rank=2 pagerank=2.7533e+00 url=www.lawfareblog.com/opening-statement-david-holmes
INFO:root:rank=3 pagerank=1.8720e+00 url=www.lawfareblog.com/senate-examines-threats-homeland
INFO:root:rank=4 pagerank=1.7417e+00 url=www.lawfareblog.com/what-make-first-day-impeachment-hearings
INFO:root:rank=5 pagerank=1.7411e+00 url=www.lawfareblog.com/livestream-house-armed-services-committee-hearing-f-35-program
INFO:root:rank=6 pagerank=1.7347e+00 url=www.lawfareblog.com/whats-house-resolution-impeachment
INFO:root:rank=7 pagerank=1.6384e+00 url=www.lawfareblog.com/congress-us-policy-toward-syria-and-turkey-overview-recent-hearings
INFO:root:rank=8 pagerank=1.5597e+00 url=www.lawfareblog.com/summary-david-holmess-deposition-testimony
INFO:root:rank=9 pagerank=9.1265e-01 url=www.lawfareblog.com/events
$ python3 pagerank.py --data=./lawfareblog.csv.gz --verbose --filter_ratio=0.2 --alpha=0.99999
INFO:root:rank=0 pagerank=4.7947e+01 url=www.lawfareblog.com/covid-19-speech-and-surveillance-response
INFO:root:rank=1 pagerank=4.7947e+01 url=www.lawfareblog.com/lawfare-live-covid-19-speech-and-surveillance
INFO:root:rank=2 pagerank=7.2709e+00 url=www.lawfareblog.com/cost-using-zero-days
INFO:root:rank=3 pagerank=2.1691e+00 url=www.lawfareblog.com/lawfare-podcast-former-congressman-brian-baird-and-daniel-schuman-how-congress-can-continue-function
INFO:root:rank=4 pagerank=1.4214e+00 url=www.lawfareblog.com/events
INFO:root:rank=5 pagerank=1.0863e+00 url=www.lawfareblog.com/water-wars-increased-us-focus-indo-pacific
INFO:root:rank=6 pagerank=1.0863e+00 url=www.lawfareblog.com/water-wars-drill-maybe-drill
INFO:root:rank=7 pagerank=1.0863e+00 url=www.lawfareblog.com/water-wars-disjointed-operations-south-china-sea
INFO:root:rank=8 pagerank=1.0863e+00 url=www.lawfareblog.com/water-wars-us-china-divide-shangri-la
INFO:root:rank=9 pagerank=1.0863e+00 url=www.lawfareblog.com/water-wars-sinking-feeling-philippine-china-relations
The personalization vector
The most interesting applications of pagerank involve the personalization vector.
Part 1: Implementing the personalization vector. Implement the WebGraph.make_personalization_vector function. make_personalization_vector function enables the --personalization_vector_query command line argument, which provides an alternative method for searching by doing the filtering on the personalization vector.
$ python3 pagerank.py --data=./lawfareblog.csv.gz --filter_ratio=0.2 --personalization_vector_query='corona'
INFO:root:rank=0 pagerank=8.8870e-01 url=www.lawfareblog.com/covid-19-speech-and-surveillance-response
INFO:root:rank=1 pagerank=8.8867e-01 url=www.lawfareblog.com/lawfare-live-covid-19-speech-and-surveillance
INFO:root:rank=2 pagerank=1.8256e-01 url=www.lawfareblog.com/chinatalk-how-party-takes-its-propaganda-global
INFO:root:rank=3 pagerank=1.4907e-01 url=www.lawfareblog.com/rational-security-my-corona-edition
INFO:root:rank=4 pagerank=1.4907e-01 url=www.lawfareblog.com/brexit-not-immune-coronavirus
INFO:root:rank=5 pagerank=1.0729e-01 url=www.lawfareblog.com/trump-cant-reopen-country-over-state-objections
INFO:root:rank=6 pagerank=1.0199e-01 url=www.lawfareblog.com/prosecuting-purposeful-coronavirus-exposure-terrorism
INFO:root:rank=7 pagerank=1.0199e-01 url=www.lawfareblog.com/britains-coronavirus-response
INFO:root:rank=8 pagerank=9.4298e-02 url=www.lawfareblog.com/lawfare-podcast-mom-and-dad-talk-clinical-trials-pandemic
INFO:root:rank=9 pagerank=8.7207e-02 url=www.lawfareblog.com/house-oversight-committee-holds-day-two-hearing-government-coronavirus-response
These results are significantly different than when using the --search_query option:
$ python3 pagerank.py --data=./lawfareblog.csv.gz --filter_ratio=0.2 --search_query='corona'
INFO:root:rank=0 pagerank=1.1602e-01 url=www.lawfareblog.com/congress-needs-coronavirus-failsafe-its-too-late
INFO:root:rank=1 pagerank=5.6374e-02 url=www.lawfareblog.com/house-oversight-committee-holds-day-two-hearing-government-coronavirus-response
INFO:root:rank=2 pagerank=5.0830e-02 url=www.lawfareblog.com/britains-coronavirus-response
INFO:root:rank=3 pagerank=5.0481e-02 url=www.lawfareblog.com/prosecuting-purposeful-coronavirus-exposure-terrorism
INFO:root:rank=4 pagerank=4.8031e-02 url=www.lawfareblog.com/livestream-house-oversight-committee-holds-hearing-government-coronavirus-response
INFO:root:rank=5 pagerank=4.7743e-02 url=www.lawfareblog.com/paper-hearing-experts-debate-digital-contact-tracing-and-coronavirus-privacy-concerns
INFO:root:rank=6 pagerank=4.3727e-02 url=www.lawfareblog.com/why-congress-conducting-business-usual-face-coronavirus
INFO:root:rank=7 pagerank=2.5817e-02 url=www.lawfareblog.com/israeli-emergency-regulations-location-tracking-coronavirus-carriers
INFO:root:rank=8 pagerank=2.5463e-02 url=www.lawfareblog.com/lawfare-podcast-united-nations-and-coronavirus-crisis
INFO:root:rank=9 pagerank=1.9066e-02 url=www.lawfareblog.com/congressional-homeland-security-committees-seek-ways-support-state-federal-responses-coronavirus
Which results are better depends on your definition of "better." With the --personalization_vector_query option, a webpage is important only if other coronavirus webpages also think it's important; with the --search_query option, a webpage is important if any other webpage thinks it's important.
Part 2: Using --personalization_vector_query argument. Another use of the --personalization_vector_query option is that we can find out what webpages are related to the subject but don't directly mention the subject.
For example, the following query ranks all webpages by their corona importance, but removes webpages mentioning corona from the results.
$ python3 pagerank.py --data=./lawfareblog.csv.gz --filter_ratio=0.2 --personalization_vector_query='corona' --search_query='-corona'
INFO:root:rank=0 pagerank=8.8870e-01 url=www.lawfareblog.com/covid-19-speech-and-surveillance-response
INFO:root:rank=1 pagerank=8.8867e-01 url=www.lawfareblog.com/lawfare-live-covid-19-speech-and-surveillance
INFO:root:rank=2 pagerank=1.8256e-01 url=www.lawfareblog.com/chinatalk-how-party-takes-its-propaganda-global
INFO:root:rank=3 pagerank=1.0729e-01 url=www.lawfareblog.com/trump-cant-reopen-country-over-state-objections
INFO:root:rank=4 pagerank=9.4298e-02 url=www.lawfareblog.com/lawfare-podcast-mom-and-dad-talk-clinical-trials-pandemic
INFO:root:rank=5 pagerank=7.9633e-02 url=www.lawfareblog.com/fault-lines-foreign-policy-quarantined
INFO:root:rank=6 pagerank=7.5307e-02 url=www.lawfareblog.com/limits-world-health-organization
INFO:root:rank=7 pagerank=6.8115e-02 url=www.lawfareblog.com/chinatalk-dispatches-shanghai-beijing-and-hong-kong
INFO:root:rank=8 pagerank=6.4847e-02 url=www.lawfareblog.com/us-moves-dismiss-case-against-company-linked-ira-troll-farm
INFO:root:rank=9 pagerank=6.4847e-02 url=www.lawfareblog.com/livestream-house-armed-services-committee-holds-hearing-priorities-missile-defense
There are many urls about concepts that are obviously related like "covid", "clinical trials", and "quarantine", but this algorithm also finds articles about Chinese propaganda and Trump's policy decisions. Both of these articles are highly relevant to coronavirus discussions, but a simple keyword search for corona or related terms would not find these articles.
Part 3: National security topics Looking at other national security topics.
$ python3 pagerank.py --data=./lawfareblog.csv.gz --filter_ratio=0.2 --personalization_vector_query='russia' --search_query='-russia'
INFO:root:rank=0 pagerank=4.3937e-01 url=www.lawfareblog.com/trump-asks-supreme-court-stay-congressional-subpeona-tax-returns
INFO:root:rank=1 pagerank=2.8572e-01 url=www.lawfareblog.com/opening-statement-david-holmes
INFO:root:rank=2 pagerank=2.8572e-01 url=www.lawfareblog.com/livestream-nov-21-impeachment-hearings-0
INFO:root:rank=3 pagerank=2.6288e-01 url=www.lawfareblog.com/mueller-report-and-national-security-investigations-and-prosecutions
INFO:root:rank=4 pagerank=2.6237e-01 url=www.lawfareblog.com/justice-department-should-share-more-information-durham-investigation
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INFO:root:rank=6 pagerank=1.8495e-01 url=www.lawfareblog.com/whats-house-resolution-impeachment
INFO:root:rank=7 pagerank=1.8495e-01 url=www.lawfareblog.com/livestream-house-armed-services-committee-hearing-f-35-program
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INFO:root:rank=9 pagerank=1.7678e-01 url=www.lawfareblog.com/congress-us-policy-toward-syria-and-turkey-overview-recent-hearings
