DomainSpy Analytics and Page Speed Report For: Lmfdb.org

Content Category:  Science/Math/Number Theory

Adult Content: No

Type: Page

Domain Value

$8.95

About Domain

Welcome to the LMFDB, the database of L-functions, modular forms, and related objects. These pages are intended to be a modern handbook including tables, formulas, links, and references for L-functions and their underlying objects.

55

DS Score

0

Traffic

37

Search

100

Technologies

81

Performance

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Traffic

How many visitors are reaching your site, how often they come and how long they stay.

5,138,427

Alexa Rank

1,020

Monthly Unique Visitors

3,060

Monthly pageviews

$0.15

Revenue Per Day

Top 5 Countries By Traffic

Country Code Rank Page Views Users

Performance

Measuring the strength of your website’s page load time

81

Performance

84/100

Google PageSpeed Score

78/100

YSlow Score

1.22

Page Size [megabytes]

0.5

Page Load Time [s]
A long cache lifetime can speed up repeat visits to your page.
Click here to learn how to optimize this
URL Cache TTL [duration] Size [kb]
https://www.lmfdb.org/style.css 600000 39255
https://www.gstatic.com/charts/loader.js 3600000 14458
https://ssl.google-analytics.com/ga.js 7200000 17838
https://www.lmfdb.org/static/jquery.dataTables.js 43200000 361606
https://www.lmfdb.org/static/images/smalluniverse.png 43200000 147521
https://www.lmfdb.org/static/images/sp_image.png 43200000 56097
https://www.lmfdb.org/static/images/families.png 43200000 35761
https://www.lmfdb.org/static/images/plot.png 43200000 28181
https://www.lmfdb.org/static/lmfdb.js 43200000 21657
https://www.lmfdb.org/static/images/compute.png 43200000 16174
https://www.lmfdb.org/static/images/search2.png 43200000 15950
https://www.lmfdb.org/static/showdown.min.js 43200000 10142
https://www.lmfdb.org/static/images/lmfdb-logo.png 43200000 9790
https://www.lmfdb.org/static/jquery.watermark.min.js 43200000 4993
https://www.lmfdb.org/static/jquery.dataTables.plugins.js 43200000 4233
Resources are blocking the first paint of your page. Consider delivering critical JS/CSS inline and deferring all non-critical JS/styles.
Click here to learn how to optimize this
URL Size [Bytes] Potential Savings
https://www.lmfdb.org/style.css 39255 390
https://ajax.googleapis.com/ajax/libs/jquery/3.2.1/jquery.min.js 31053 510
https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min.js 68696 710
https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/themes/smoothness/jquery-ui.css 9161 310
https://www.lmfdb.org/static/jquery.watermark.min.js 4993 190
https://www.lmfdb.org/static/lmfdb.js 21657 310
https://www.lmfdb.org/static/showdown.min.js 10142 230
https://www.lmfdb.org/static/jquery.dataTables.js 361606 990
https://www.lmfdb.org/static/jquery.dataTables.plugins.js 4233 150
https://www.google.com/jsapi 550 230
https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css 3699 230
https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/copy-tex.css 1055 150
https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/copy-tex.min.js 1772 150

Overall Saving: 827[ms]

First Contentful Paint marks the time at which the first text or image is painted.
Click here to learn how to optimize this
First Meaningful Paint measures when the primary content of a page is visible.
Click here to learn how to optimize this
Text-based resources should be served with compression (gzip, deflate or brotli) to minimize total network bytes.
Click here to learn how to optimize this
URL Size [Bytes] Potential Savings [Bytes]
https://www.lmfdb.org/static/jquery.dataTables.js 361238 279878
https://www.lmfdb.org/style.css 39058 30701
https://www.lmfdb.org/static/lmfdb.js 21291 14269
https://www.lmfdb.org/ 15588 11281
https://www.lmfdb.org/static/showdown.min.js 9779 6350
https://www.lmfdb.org/static/jquery.watermark.min.js 4629 2794
https://www.lmfdb.org/static/jquery.dataTables.plugins.js 3869 2415

Overall Saving: 400[ms], 347688[Bytes]

Minifying JavaScript files can reduce payload sizes and script parse time.
Click here to learn how to optimize this
URL Size [Bytes] Potential Savings [Bytes]
https://www.lmfdb.org/static/jquery.dataTables.js 361606 253174
https://www.lmfdb.org/static/lmfdb.js 21657 9417

Overall Saving: 200[ms], 262591[Bytes]

Speed Index shows how quickly the contents of a page are visibly populated.
Click here to learn how to optimize this
Serve images that are appropriately-sized to save cellular data and improve load time.
Click here to learn how to optimize this
URL Size [Bytes] Potential Savings [Bytes]
https://www.lmfdb.org/static/images/smalluniverse.png 147166 142453
https://www.lmfdb.org/static/images/sp_image.png 55744 35993
https://www.lmfdb.org/static/images/plot.png 27829 24895
https://www.lmfdb.org/static/images/families.png 35408 19870
https://www.lmfdb.org/static/images/search2.png 15597 7021
https://www.lmfdb.org/static/images/compute.png 15821 6327
https://www.lmfdb.org/static/images/lmfdb-logo.png 9439 6218

Overall Saving: 160[ms], 242777[Bytes]

The maximum potential First Input Delay that your users could experience is the duration, in milliseconds, of the longest task.
Click here to learn how to optimize this
Remove dead rules from stylesheets and defer the loading of CSS not used for above-the-fold content to reduce unnecessary bytes consumed by network activity.
Click here to learn how to optimize this
URL Size [Bytes] Potential Savings [Bytes]
https://www.lmfdb.org/style.css 39255 33856

Overall Saving: 120[ms], 33856[Bytes]

Image formats like JPEG 2000, JPEG XR, and WebP often provide better compression than PNG or JPEG, which means faster downloads and less data consumption.
Click here to learn how to optimize this
URL Size [Bytes] Potential Savings [Bytes]
https://www.lmfdb.org/static/images/smalluniverse.png 147166 97444
https://www.lmfdb.org/static/images/sp_image.png 55744 48358
https://www.lmfdb.org/static/images/families.png 35408 26112
https://www.lmfdb.org/static/images/plot.png 27829 19317
https://www.lmfdb.org/static/images/search2.png 15597 9341

Overall Saving: 120[ms], 200572[Bytes]

Minifying CSS files can reduce network payload sizes.
Click here to learn how to optimize this
URL Size [Bytes] Potential Savings [Bytes]
https://www.lmfdb.org/style.css 39255 13185

Overall Saving: 40[ms], 13185[Bytes]

First CPU Idle marks the first time at which the page's main thread is quiet enough to handle input.
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Time to interactive is the amount of time it takes for the page to become fully interactive.
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Consider lazy-loading offscreen and hidden images after all critical resources have finished loading to lower time to interactive.
Click here to learn how to optimize this

Overall Saving: 0[ms], 0[Bytes]

Large network payloads cost users real money and are highly correlated with long load times.
Click here to learn how to optimize this
URL Size
https://www.lmfdb.org/static/jquery.dataTables.js 361606
https://www.lmfdb.org/static/images/smalluniverse.png 147521
https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min.js 68696
https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js 62268
https://www.lmfdb.org/static/images/sp_image.png 56097
https://www.lmfdb.org/style.css 39255
https://www.lmfdb.org/static/images/families.png 35761
https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_AMS-Regular.woff2 33735
https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-Regular.woff2 33255
https://ajax.googleapis.com/ajax/libs/jquery/3.2.1/jquery.min.js 31053
Consider reducing the time spent parsing, compiling and executing JS. You may find delivering smaller JS payloads helps with this.
Click here to learn how to optimize this
Category Time Spent
Script Evaluation 128.24
Style & Layout 64.46
Other 52.3
Script Parsing & Compilation 26.65
Parse HTML & CSS 17.39
Rendering 9.74
A large DOM will increase memory usage, cause longer [style calculations](https://developers.google.com/web/fundamentals/performance/rendering/reduce-the-scope-and-complexity-of-style-calculations), and produce costly [layout reflows](https://developers.google.com/speed/articles/reflow).
Click here to learn how to optimize this
Statistic Element Value
Total DOM Elements --- 429
Maximum DOM Depth --- 29
Maximum Child Elements --- 16
Consider using `` to prioritize fetching resources that are currently requested later in page load.
Click here to learn how to optimize this

Overall Saving: 0[ms]

Redirects introduce additional delays before the page can be loaded.
Click here to learn how to optimize this

Overall Saving: 0[ms]

Time To First Byte identifies the time at which your server sends a response.
Click here to learn how to optimize this

Overall Saving: -488.464[ms]

Optimized images load faster and consume less cellular data.
Click here to learn how to optimize this

Overall Saving: 0[ms], 0[Bytes]

Estimated Input Latency is an estimate of how long your app takes to respond to user input, in milliseconds, during the busiest 5s window of page load. If your latency is higher than 50 ms, users may perceive your app as laggy.
Click here to learn how to optimize this
Consider reducing the time spent parsing, compiling, and executing JS. You may find delivering smaller JS payloads helps with this.
Click here to learn how to optimize this
URL Total CPU Time Script Evaluation Script Parse
Other 146.62 3.42 0.99
There are 23 static components that are not on CDN.

You can specify CDN hostnames in your preferences. See YSlow FAQ for details.

Components:
  • www.lmfdb.org: 13 components, 746.8K
  • ajax.googleapis.com: 3 components, 376.8K (86.7K GZip)
  • cdn.jsdelivr.net: 5 components, 276.1K (29.4K GZip)
  • ssl.google-analytics.com: 1 component, 46.2K (46.2K GZip)
  • www.google.com: 1 component, 26.8K (11.5K GZip)
There are 16 static components without a far-future expiration date.
Components:
  • https://www.lmfdb.org/style.css
  • https://ssl.google-analytics.com/ga.js
  • https://www.lmfdb.org/static/jquery.watermark.min.js
  • https://www.lmfdb.org/static/lmfdb.js
  • https://www.lmfdb.org/static/showdown.min.js
  • https://www.lmfdb.org/static/jquery.dataTables.js
  • https://www.lmfdb.org/static/jquery.dataTables.plugins.js
  • https://www.google.com/jsapi
  • https://www.lmfdb.org/static/images/lmfdb-logo.png
  • https://www.lmfdb.org/static/images/families.png
  • https://www.lmfdb.org/static/images/plot.png
  • https://www.lmfdb.org/static/images/search2.png
  • https://www.lmfdb.org/static/images/sp_image.png
  • https://www.lmfdb.org/static/images/smalluniverse.png
  • https://www.lmfdb.org/static/images/compute.png
  • https://www.lmfdb.org/favicon.ico
There are 7 plain text components that should be sent compressed
Components:
  • https://www.lmfdb.org/
  • https://www.lmfdb.org/style.css
  • https://www.lmfdb.org/static/jquery.watermark.min.js
  • https://www.lmfdb.org/static/lmfdb.js
  • https://www.lmfdb.org/static/showdown.min.js
  • https://www.lmfdb.org/static/jquery.dataTables.js
  • https://www.lmfdb.org/static/jquery.dataTables.plugins.js
This page has 12 external Javascript scripts. Try combining them into one. This page has 4 external stylesheets. Try combining them into one.
Components:
    Favicon is more than 2000 bytes Favicon is not cacheable
    Components:
      The components are split over more than 4 domains
      Components:
      • www.lmfdb.org: 15 components, 766.6K
      • ajax.googleapis.com: 3 components, 376.8K (86.7K GZip)
      • cdn.jsdelivr.net: 25 components, 610.6K (29.4K GZip)
      • ssl.google-analytics.com: 1 component, 46.2K (46.2K GZip)
      • www.google.com: 1 component, 26.8K (11.5K GZip)
      Components:
        Components:
          Components:
            Components:
              Components:
                Components:
                  Components:
                    Components:
                      Components:
                        Components:
                          Components:
                            Components:
                              Components:
                                Components:
                                  Components:
                                    Components:

                                      doc

                                      # of requests: 1
                                      Size: 15588 bytes

                                      css

                                      # of requests: 4
                                      Size: 98324 bytes

                                      font

                                      # of requests: 20
                                      Size: 334532 bytes

                                      js

                                      # of requests: 12
                                      Size: 515522 bytes

                                      image

                                      # of requests: 7
                                      Size: 307004 bytes

                                      favicon

                                      # of requests: 1
                                      Size: 4158 bytes

                                      doc

                                      # of requests: 1
                                      Size: 15588 bytes

                                      css

                                      # of requests: 1
                                      Size: 39058 bytes

                                      js

                                      # of requests: 7
                                      Size: 11554 bytes

                                      image

                                      # of requests: 7
                                      Size: 0 bytes

                                      favicon

                                      # of requests: 1
                                      Size: 4158 bytes
                                      Type Url Size Response time Gzip Expires
                                      doc https://www.lmfdb.org/ 15588 128 ---
                                      css https://www.lmfdb.org/style.css 39058 166 --- 2020/5/19
                                      css https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/themes/smoothness/jquery-ui.css 36536 218 36536 2021/5/19
                                      css https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.css 22268 226 22268 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_AMS-Regular.woff2 32944 34 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Caligraphic-Bold.woff2 10448 27 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Caligraphic-Regular.woff2 10240 32 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Fraktur-Bold.woff2 20360 35 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Fraktur-Regular.woff2 19784 33 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-Bold.woff2 30244 29 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-BoldItalic.woff2 21944 31 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-Italic.woff2 22748 34 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Main-Regular.woff2 32464 30 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Math-BoldItalic.woff2 19720 30 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Math-Italic.woff2 20096 38 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_SansSerif-Bold.woff2 15732 29 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_SansSerif-Italic.woff2 15024 32 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_SansSerif-Regular.woff2 13708 33 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Script-Regular.woff2 12064 83 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Size1-Regular.woff2 5592 44 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Size2-Regular.woff2 5392 29 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Size3-Regular.woff2 3728 33 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Size4-Regular.woff2 5028 30 --- 2021/5/19
                                      font https://cdn.jsdelivr.net/npm/[email protected]/dist/fonts/KaTeX_Typewriter-Regular.woff2 17272 34 --- 2021/5/19
                                      css https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/copy-tex.css 462 258 462 2021/5/19
                                      js https://ssl.google-analytics.com/ga.js 46274 428 46274 2020/5/19
                                      js https://ajax.googleapis.com/ajax/libs/jquery/3.2.1/jquery.min.js 86659 160 7328 2021/5/19
                                      js https://ajax.googleapis.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min.js 253668 192 42890 2021/5/19
                                      js https://www.lmfdb.org/static/jquery.watermark.min.js 4629 217 --- 2020/5/20
                                      js https://www.lmfdb.org/static/lmfdb.js 21291 217 --- 2020/5/20
                                      js https://www.lmfdb.org/static/showdown.min.js 9779 217 --- 2020/5/20
                                      js https://www.lmfdb.org/static/jquery.dataTables.js 361238 227 --- 2020/5/20
                                      js https://www.lmfdb.org/static/jquery.dataTables.plugins.js 3869 217 --- 2020/5/20
                                      js https://www.google.com/jsapi 26828 297 11554 2020/5/19
                                      js https://cdn.jsdelivr.net/npm/[email protected]/dist/katex.min.js 247649 240 902 2021/5/19
                                      js https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/auto-render.min.js 3453 245 3453 2021/5/19
                                      js https://cdn.jsdelivr.net/npm/[email protected]/dist/contrib/copy-tex.min.js 2315 250 2315 2021/5/19
                                      image https://www.lmfdb.org/static/images/lmfdb-logo.png 9439 427 --- 2020/5/20
                                      image https://www.lmfdb.org/static/images/families.png 35408 461 --- 2020/5/20
                                      image https://www.lmfdb.org/static/images/plot.png 27829 460 --- 2020/5/20
                                      image https://www.lmfdb.org/static/images/search2.png 15597 461 --- 2020/5/20
                                      image https://www.lmfdb.org/static/images/sp_image.png 55744 460 --- 2020/5/20
                                      image https://www.lmfdb.org/static/images/smalluniverse.png 147166 482 --- 2020/5/20
                                      image https://www.lmfdb.org/static/images/compute.png 15821 462 --- 2020/5/20
                                      favicon https://www.lmfdb.org/favicon.ico 4158 57 ---

                                      Detected Technologies

                                      DataTables
                                      DataTables
                                      jQuery
                                      jQuery
                                      jQuery UI
                                      jQuery UI

                                      SEO Details

                                      How well your site increases the quality and quantity of search engine results through organic traffic.

                                      37

                                      Search

                                      37

                                      Domain Authority

                                      42,287,469

                                      Unique Domain Links

                                      6,806

                                      Outgong Links

                                      8,701

                                      External Links

                                      5

                                      Spam Score

                                      Top Pages

                                      Ranking the most visited pages on your website.

                                      # Link
                                      1 www.lmfdb.org/
                                      2 www.lmfdb.org/EllipticCurve/Q/
                                      3 www.lmfdb.org/Character/Dirichlet/
                                      4 www.lmfdb.org/intro
                                      5 www.lmfdb.org/zeros/zeta/
                                      6 www.lmfdb.org/L/Riemann/
                                      7 www.lmfdb.org/acknowledgment
                                      8 www.lmfdb.org/universe
                                      9 www.lmfdb.org/knowledge/show/ec.weierstrass_coeffs
                                      10 www.lmfdb.org/ModularForm/GL2/Q/holomorphic/

                                      Webserver Info

                                      California, Mountain View, United States Of America, 94043
                                      IP: 35.241.19.59

                                      Location

                                      37.406

                                      Latitude

                                      -122.079

                                      Longitude

                                      Whois

                                      Created n/a
                                      Changed n/a
                                      Sponsor n/a
                                      Name Server n/a
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