</a><a href=/contribute class=navbar-item>Contribute</a><div class="navbar-item has-dropdown"><a aria-label="Select language" class=navbar-link>English</a><div class=navbar-dropdown><a href=/pt/404/ class=navbar-item>Português

</a><a href=/ja/404/ class=navbar-item>日本語 (Japanese)

</a><a href=/es/404/ class=navbar-item>Español</a></div></div></div></div></div></nav><section class=content-padding><div class=content-container><nav aria-label=Breadcrumb><ul id=breadcrumbs class=bd-breadcrumbs><li class="breadcrumb-item breadcrumb-home"><a href=/ class=nav-link aria-label=Home><i class="fas fa-home"></i></a></li><li class="breadcrumb-item active" aria-current=page>404</li></ul></nav><h1>404</h1><div><p>Oops! You&rsquo;ve reached a dead end.</p><p>If you think something should be here, you can <a href=https://github.com/numpy/numpy.org/issues>open an issue</a> on GitHub.</p></div></div><div id=shortcuts-container><div id=shortcuts><div id=shortcuts-header><i class="fa-solid fa-list"></i> On this page</div></div></div></section><div id=backtotop><a href=# id=backtotop-color><i class="fa-solid fa-arrow-up"></i></a></div><footer id=footer><div class=container><div id=footer-columns><div id=footer-logo-column><img id=footer-logo src=/images/logo.svg alt="NumPy logo. "></div><div class=footer-column><div class=footer-item><a href=/install>Install</a></div><div class=footer-item><a href=https://numpy.org/doc/stable>Documentation</a></div><div class=footer-item><a href=/learn>Learn</a></div><div class=footer-item><a href=/citing-numpy>Citing Numpy</a></div><div class=footer-item><a href=https://numpy.org/neps/roadmap.html>Roadmap</a></div></div><div class=footer-column><div class=footer-item><a href=/about>About us</a></div><div class=footer-item><a href=/community>Community</a></div><div class=footer-item><a href=/user-surveys>User surveys</a></div><div class=footer-item><a href=/contribute>Contribute</a></div><div class=footer-item><a href=/code-of-conduct>Code of conduct</a></div></div><div class=footer-column><div class=footer-item><a href=/gethelp>Get help</a></div><div class=footer-item><a href=/terms>Terms of use</a></div><div class=footer-item><a href=/privacy>Privacy</a></div><div class=footer-item><a href=/press-kit>Press kit</a></div></div><div class=footer-actions>Sign up for the latest NumPy news, resources, and more<form action="https://numpy.us4.list-manage.com/subscribe/post?u=5ddd0d1d6e807900a8212481a&amp;id=287fa4253c" method=post id=mc-embedded-subscribe-form name=mc-embedded-subscribe-form class="validate sign-up-container" target=_blank novalidate><div class=sign-up-image><svg class="icon mail-icon" viewBox="0 0 24 24" viewBox="0 0 24 24"><path d="M22 6c0-1.1-.9-2-2-2H4c-1.1.0-2 .9-2 2v12c0 1.1.9 2 2 2h16c1.1.0 2-.9 2-2V6zm-2 0-8 5-8-5h16zm0 12H4V8l8 5 8-5v10z"/></svg></div><input type=email name=EMAIL class="required email sign-up-input" id=mce-EMAIL aria-label="Input for email, press enter to submit" onkeypress='(event.which===13||event.keyCode===13||event.key==="Enter")&&sendThankYou()'><div class=submission-instructions>Press Enter</div><button class=signup-button onclick=sendThankYou() aria-label=Submit><svg class="icon sent-icon" viewBox="0 0 24 24" viewBox="0 0 24 24"><path d="M2.01 21 23 12 2.01 3 2 10l15 2-15 2z"/></svg></button><div id=mce-responses class=clear><div class=response id=mce-error-response style=display:none></div><div class=response id=mce-success-response style=display:none></div></div><div style=position:absolute;left:-5000px aria-hidden=true><input type=text name=b_5ddd0d1d6e807900a8212481a_287fa4253c tabindex=-1></div><div class=clear><input type=submit value=Subscribe name=subscribe id=mc-embedded-subscribe class=button style=display:none></div></form><div class=thank-you>Thank you! &#127881;</div><div class=community-icons><a href=https://github.com/numpy/numpy aria-label=https://github.com/numpy/numpy><svg class="icon github-icon" viewBox="0 0 24 24" viewBox="0 0 24 24"><path d="M12 .297c-6.63.0-12 5.373-12 12 0 5.303 3.438 9.8 8.205 11.385.6.113.82-.258.82-.577.0-.285-.01-1.04-.015-2.04-3.338.724-4.042-1.61-4.042-1.61C4.422 18.07 3.633 17.7 3.633 17.7c-1.087-.744.084-.729.084-.729 1.205.084 1.838 1.236 1.838 1.236 1.07 1.835 2.809 1.305 3.495.998.108-.776.417-1.305.76-1.605-2.665-.3-5.466-1.332-5.466-5.93.0-1.31.465-2.38 1.235-3.22-.135-.303-.54-1.523.105-3.176.0.0 1.005-.322 3.3 1.23.96-.267 1.98-.399 3-.405 1.02.006 2.04.138 3 .405 2.28-1.552 3.285-1.23 3.285-1.23.645 1.653.24 2.873.12 3.176.765.84 1.23 1.91 1.23 3.22.0 4.61-2.805 5.625-5.475 5.92.42.36.81 1.096.81 2.22.0 1.606-.015 2.896-.015 3.286.0.315.21.69.825.57C20.565 22.092 24 17.592 24 12.297c0-6.627-5.373-12-12-12"/></svg>

</a><a href=https://www.tidelift.com><img src=/images/logos/tidelift.png width=200 alt="Logo of Tidelift"></a></div><style>.sponsor-images{display:flex;flex-direction:row;max-width:900px;justify-content:center;margin:30px}.sponsor-images>a{height:75px;width:auto;padding:0 30px;margin:30px 0}@media only screen and (max-width:850px){.sponsor-images{flex-direction:column}.sponsor-images>img{height:auto;margin:30px 0;padding:0}}</style></p><h2 id=institutional-partners>Institutional Partners<a class=headerlink href=#institutional-partners title="Link to this heading">#</a></h2><p>Institutional Partners are organizations that support the project by employing people that contribute to NumPy as part of their job. Current Institutional Partners include:</p><ul><li>UC Berkeley (Stéfan van der Walt)</li><li>Quansight (Nathan Goldbaum, Ralf Gommers, Matti Picus, Melissa Weber Mendonça)</li><li>NVIDIA (Sebastian Berg)</li></ul><div class=partner-images><a href=https://www.berkeley.edu><img src=/images/logos/berkeley-color.svg width=200 alt="Logo of UC Berkeley">

</a><a href=https://www.quansight.com><img src=/images/logos/quansight.svg width=200 alt="Logo of Quansight">

</a><a href=https://www.nvidia.com><img src=/images/logos/nvidia.png width=200 alt="Logo of NVIDIA"></a></div><style>.partner-images{display:flex;flex-direction:row;max-width:900px;justify-content:center;margin:30px}.partner-images>a{height:75px;width:auto;padding:0 30px;margin:30px 0}@media only screen and (max-width:850px){.partner-images{flex-direction:column}.partner-images>img{height:auto;margin:30px 0;padding:0}}</style><h2 id=donate>Donate<a class=headerlink href=#donate title="Link to this heading">#</a></h2><p>If you have found NumPy useful in your work, research, or company, please consider a donation to the project commensurate with your resources. Any amount helps! All donations will be used strictly to fund the development of NumPy’s open source software, documentation, and community.</p><p>NumPy is a Sponsored Project of NumFOCUS, a 501(c)(3) nonprofit charity in the United States. NumFOCUS provides NumPy with fiscal, legal, and administrative support to help ensure the health and sustainability of the project. Visit <a href=https://numfocus.org>numfocus.org</a> for more information.</p><p>Donations to NumPy are managed by <a href=https://numfocus.org>NumFOCUS</a>. For donors in the United States, your gift is tax-deductible to the extent provided by law. As with any donation, you should consult with your tax advisor about your particular tax situation.</p><p>NumPy&rsquo;s Steering Council will make the decisions on how to best use any funds received. Technical and infrastructure priorities are documented on the <a href=https://www.numpy.org/neps/index.html#roadmap>NumPy Roadmap</a>.</p><div class=opencollective><a href=https://opencollective.com/numpy#category-CONTRIBUTE target=_blank><img src=/images/logos/opencollective.png width=300></a></div><style>.opencollective{padding-top:.5rem}</style></div></div><div id=shortcuts-container><div id=shortcuts><div id=shortcuts-header><i class="fa-solid fa-list"></i> On this page</div></div></div></section><div id=backtotop><a href=# id=backtotop-color><i class="fa-solid fa-arrow-up"></i></a></div><footer id=footer><div class=container><div id=footer-columns><div id=footer-logo-column><img id=footer-logo src=/images/logo.svg alt="NumPy logo. "></div><div class=footer-column><div class=footer-item><a href=/install>Install</a></div><div class=footer-item><a href=https://numpy.org/doc/stable>Documentation</a></div><div class=footer-item><a href=/learn>Learn</a></div><div class=footer-item><a href=/citing-numpy>Citing Numpy</a></div><div class=footer-item><a href=https://numpy.org/neps/roadmap.html>Roadmap</a></div></div><div class=footer-column><div class=footer-item><a href=/about>About us</a></div><div class=footer-item><a href=/community>Community</a></div><div class=footer-item><a href=/user-surveys>User surveys</a></div><div class=footer-item><a href=/contribute>Contribute</a></div><div class=footer-item><a href=/code-of-conduct>Code of conduct</a></div></div><div class=footer-column><div class=footer-item><a href=/gethelp>Get help</a></div><div class=footer-item><a href=/terms>Terms of use</a></div><div class=footer-item><a href=/privacy>Privacy</a></div><div class=footer-item><a href=/press-kit>Press kit</a></div></div><div class=footer-actions>Sign up for the latest NumPy news, resources, and more<form action="https://numpy.us4.list-manage.com/subscribe/post?u=5ddd0d1d6e807900a8212481a&amp;id=287fa4253c" method=post id=mc-embedded-subscribe-form name=mc-embedded-subscribe-form class="validate sign-up-container" target=_blank novalidate><div class=sign-up-image><svg class="icon mail-icon" viewBox="0 0 24 24" viewBox="0 0 24 24"><path d="M22 6c0-1.1-.9-2-2-2H4c-1.1.0-2 .9-2 2v12c0 1.1.9 2 2 2h16c1.1.0 2-.9 2-2V6zm-2 0-8 5-8-5h16zm0 12H4V8l8 5 8-5v10z"/></svg></div><input type=email name=EMAIL class="required email sign-up-input" id=mce-EMAIL aria-label="Input for email, press enter to submit" onkeypress='(event.which===13||event.keyCode===13||event.key==="Enter")&&sendThankYou()'><div class=submission-instructions>Press Enter</div><button class=signup-button onclick=sendThankYou() aria-label=Submit><svg class="icon sent-icon" viewBox="0 0 24 24" viewBox="0 0 24 24"><path d="M2.01 21 23 12 2.01 3 2 10l15 2-15 2z"/></svg></button><div id=mce-responses class=clear><div class=response id=mce-error-response style=display:none></div><div class=response id=mce-success-response style=display:none></div></div><div style=position:absolute;left:-5000px aria-hidden=true><input type=text name=b_5ddd0d1d6e807900a8212481a_287fa4253c tabindex=-1></div><div class=clear><input type=submit value=Subscribe name=subscribe id=mc-embedded-subscribe class=button style=display:none></div></form><div class=thank-you>Thank you! &#127881;</div><div class=community-icons><a href=https://github.com/numpy/numpy aria-label=https://github.com/numpy/numpy><svg class="icon github-icon" viewBox="0 0 24 24" viewBox="0 0 24 24"><path d="M12 .297c-6.63.0-12 5.373-12 12 0 5.303 3.438 9.8 8.205 11.385.6.113.82-.258.82-.577.0-.285-.01-1.04-.015-2.04-3.338.724-4.042-1.61-4.042-1.61C4.422 18.07 3.633 17.7 3.633 17.7c-1.087-.744.084-.729.084-.729 1.205.084 1.838 1.236 1.838 1.236 1.07 1.835 2.809 1.305 3.495.998.108-.776.417-1.305.76-1.605-2.665-.3-5.466-1.332-5.466-5.93.0-1.31.465-2.38 1.235-3.22-.135-.303-.54-1.523.105-3.176.0.0 1.005-.322 3.3 1.23.96-.267 1.98-.399 3-.405 1.02.006 2.04.138 3 .405 2.28-1.552 3.285-1.23 3.285-1.23.645 1.653.24 2.873.12 3.176.765.84 1.23 1.91 1.23 3.22.0 4.61-2.805 5.625-5.475 5.92.42.36.81 1.096.81 2.22.0 1.606-.015 2.896-.015 3.286.0.315.21.69.825.57C20.565 22.092 24 17.592 24 12.297c0-6.627-5.373-12-12-12"/></svg>