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2 changes: 1 addition & 1 deletion dev/.documenter-siteinfo.json
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{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2024-09-24T16:16:03","documenter_version":"1.7.0"}}
{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2024-09-24T21:45:36","documenter_version":"1.7.0"}}
2 changes: 1 addition & 1 deletion dev/book/index.html
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3*n1 ∈ (q - 1)ℤ
2*n1 ∈ (q - 1)ℤ</code></pre><p>The exceptions both cannot occur as <span>$q$</span> is even and the table we are considering is only defined for <span>$q\not\equiv 1\pmod 3$</span>. By working through the other possible exceptions and irreducible character types, and handling duplicates, one finally obtains</p><p class="math-container">\[\chi_2^2 = \chi_1+2\chi_2+2\chi_3
+\frac12\sum_{n=1}^{q-2} \chi_6(n,q-1-n)
+\frac12\sum_{n=1}^{q} \chi_7(n(q-1)).\]</p><p>Where <span>$\chi_6(n,q-1-n)$</span> indicates that the <span>$6$</span>th character in the table <code>T2</code> is a family on two parameters: <span>$n$</span> and <span>$q-1-n$</span>, while <span>$\chi_7$</span> depends on only one, namely <span>$n(q-1)$</span>. A similar result can be obtained for odd <span>$q$</span> albeit with a few more cases that need to be dealt with, but all in essentially the same manner.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../cyclo/">« Generic cyclotomics</a><a class="docs-footer-nextpage" href="../unexported/">Unexported Functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Tuesday 24 September 2024 16:16">Tuesday 24 September 2024</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
+\frac12\sum_{n=1}^{q} \chi_7(n(q-1)).\]</p><p>Where <span>$\chi_6(n,q-1-n)$</span> indicates that the <span>$6$</span>th character in the table <code>T2</code> is a family on two parameters: <span>$n$</span> and <span>$q-1-n$</span>, while <span>$\chi_7$</span> depends on only one, namely <span>$n(q-1)$</span>. A similar result can be obtained for odd <span>$q$</span> albeit with a few more cases that need to be dealt with, but all in essentially the same manner.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../cyclo/">« Generic cyclotomics</a><a class="docs-footer-nextpage" href="../unexported/">Unexported Functions »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.7.0 on <span class="colophon-date" title="Tuesday 24 September 2024 21:45">Tuesday 24 September 2024</span>. Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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2 changes: 1 addition & 1 deletion dev/cyclo/index.html
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<!DOCTYPE html>
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Generic cyclotomics · GenericCharacterTables.jl</title><meta name="title" content="Generic cyclotomics · GenericCharacterTables.jl"/><meta property="og:title" content="Generic cyclotomics · GenericCharacterTables.jl"/><meta property="twitter:title" content="Generic cyclotomics · GenericCharacterTables.jl"/><meta name="description" content="Documentation for GenericCharacterTables.jl."/><meta property="og:description" content="Documentation for GenericCharacterTables.jl."/><meta property="twitter:description" content="Documentation for GenericCharacterTables.jl."/><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" 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type="text/css" href="../assets/themes/catppuccin-macchiato.css" data-theme-name="catppuccin-macchiato"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/catppuccin-frappe.css" data-theme-name="catppuccin-frappe"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/catppuccin-latte.css" data-theme-name="catppuccin-latte"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script><link href="../assets/citations.css" rel="stylesheet" type="text/css"/></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../">GenericCharacterTables.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li><a class="tocitem" href="../">GenericCharacterTables.jl</a></li><li><a class="tocitem" href="../tables/">Tables</a></li><li><a class="tocitem" href="../characters/">Character types</a></li><li><a class="tocitem" href="../classes/">Conjugacy class types</a></li><li><a class="tocitem" href="../modify/">Specializing parameters</a></li><li class="is-active"><a class="tocitem" href>Generic cyclotomics</a></li><li><a class="tocitem" href="../book/">An extended example</a></li><li><a class="tocitem" href="../unexported/">Unexported Functions</a></li><li><a class="tocitem" href="../references/">References</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Generic cyclotomics</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Generic cyclotomics</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/oscar-system/GenericCharacterTables.jl" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/oscar-system/GenericCharacterTables.jl/blob/master/docs/src/cyclo.md" title="Edit source on GitHub"><span 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Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
<html lang="en"><head><meta charset="UTF-8"/><meta name="viewport" content="width=device-width, initial-scale=1.0"/><title>Generic cyclotomics · GenericCharacterTables.jl</title><meta name="title" content="Generic cyclotomics · GenericCharacterTables.jl"/><meta property="og:title" content="Generic cyclotomics · GenericCharacterTables.jl"/><meta property="twitter:title" content="Generic cyclotomics · GenericCharacterTables.jl"/><meta name="description" content="Documentation for GenericCharacterTables.jl."/><meta property="og:description" content="Documentation for GenericCharacterTables.jl."/><meta property="twitter:description" content="Documentation for GenericCharacterTables.jl."/><script data-outdated-warner src="../assets/warner.js"></script><link href="https://cdnjs.cloudflare.com/ajax/libs/lato-font/3.0.0/css/lato-font.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/juliamono/0.050/juliamono.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/fontawesome.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/solid.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.2/css/brands.min.css" rel="stylesheet" type="text/css"/><link href="https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min.css" rel="stylesheet" type="text/css"/><script>documenterBaseURL=".."</script><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.3.6/require.min.js" data-main="../assets/documenter.js"></script><script src="../search_index.js"></script><script src="../siteinfo.js"></script><script src="../../versions.js"></script><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/catppuccin-mocha.css" data-theme-name="catppuccin-mocha"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/catppuccin-macchiato.css" data-theme-name="catppuccin-macchiato"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/catppuccin-frappe.css" data-theme-name="catppuccin-frappe"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/catppuccin-latte.css" data-theme-name="catppuccin-latte"/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-dark.css" data-theme-name="documenter-dark" data-theme-primary-dark/><link class="docs-theme-link" rel="stylesheet" type="text/css" href="../assets/themes/documenter-light.css" data-theme-name="documenter-light" data-theme-primary/><script src="../assets/themeswap.js"></script><link href="../assets/citations.css" rel="stylesheet" type="text/css"/></head><body><div id="documenter"><nav class="docs-sidebar"><div class="docs-package-name"><span class="docs-autofit"><a href="../">GenericCharacterTables.jl</a></span></div><button class="docs-search-query input is-rounded is-small is-clickable my-2 mx-auto py-1 px-2" id="documenter-search-query">Search docs (Ctrl + /)</button><ul class="docs-menu"><li><a class="tocitem" href="../">GenericCharacterTables.jl</a></li><li><a class="tocitem" href="../tables/">Tables</a></li><li><a class="tocitem" href="../characters/">Character types</a></li><li><a class="tocitem" href="../classes/">Conjugacy class types</a></li><li><a class="tocitem" href="../modify/">Specializing parameters</a></li><li class="is-active"><a class="tocitem" href>Generic cyclotomics</a></li><li><a class="tocitem" href="../book/">An extended example</a></li><li><a class="tocitem" href="../unexported/">Unexported Functions</a></li><li><a class="tocitem" href="../references/">References</a></li></ul><div class="docs-version-selector field has-addons"><div class="control"><span class="docs-label button is-static is-size-7">Version</span></div><div class="docs-selector control is-expanded"><div class="select is-fullwidth is-size-7"><select id="documenter-version-selector"></select></div></div></div></nav><div class="docs-main"><header class="docs-navbar"><a class="docs-sidebar-button docs-navbar-link fa-solid fa-bars is-hidden-desktop" id="documenter-sidebar-button" href="#"></a><nav class="breadcrumb"><ul class="is-hidden-mobile"><li class="is-active"><a href>Generic cyclotomics</a></li></ul><ul class="is-hidden-tablet"><li class="is-active"><a href>Generic cyclotomics</a></li></ul></nav><div class="docs-right"><a class="docs-navbar-link" href="https://github.com/oscar-system/GenericCharacterTables.jl" title="View the repository on GitHub"><span class="docs-icon fa-brands"></span><span class="docs-label is-hidden-touch">GitHub</span></a><a class="docs-navbar-link" href="https://github.com/oscar-system/GenericCharacterTables.jl/blob/master/docs/src/cyclo.md" title="Edit source on GitHub"><span class="docs-icon fa-solid"></span></a><a class="docs-settings-button docs-navbar-link fa-solid fa-gear" id="documenter-settings-button" href="#" title="Settings"></a><a class="docs-article-toggle-button fa-solid fa-chevron-up" id="documenter-article-toggle-button" href="javascript:;" title="Collapse all docstrings"></a></div></header><article class="content" id="documenter-page"><h1 id="Generic-cyclotomics"><a class="docs-heading-anchor" href="#Generic-cyclotomics">Generic cyclotomics</a><a id="Generic-cyclotomics-1"></a><a class="docs-heading-anchor-permalink" href="#Generic-cyclotomics" title="Permalink"></a></h1><p>TODO: this file should contain information about generic cyclotomics: what these are, how to work with them; what is and isn&#39;t implemented.</p></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../modify/">« Specializing parameters</a><a class="docs-footer-nextpage" href="../book/">An extended example »</a><div class="flexbox-break"></div><p 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Using Julia version 1.9.4.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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