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Documenter.jl committed Sep 30, 2024
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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":"2024-09-30T11:00:17","documenter_version":"1.7.0"}}
{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2024-09-30T22:26:57","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="Monday 30 September 2024 11:00">Monday 30 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="Monday 30 September 2024 22:26">Monday 30 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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