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Remove use of color to designate complex conjugation #6243

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Merged
jwj61 merged 2 commits into from
Nov 14, 2024
Merged

Remove use of color to designate complex conjugation #6243

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6fe5589
Remove use of color to designate complex conjugation
jwj61 Nov 13, 2024
4427a19
Add some knowls
roed314 Nov 14, 2024
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16 changes: 9 additions & 7 deletions lmfdb/artin_representations/templates/artin-representation-show.html
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Original file line number Diff line number Diff line change
Expand Up @@ -68,7 +68,7 @@ <h2>Defining polynomial</h2>
</table>
</div>

<h2>Generators of the action on the roots
<h2>Generators of the {{KNOWL('gg.galois_group', 'action')}} on the roots
{% if object.number_field_galois_group().degree() < 4 %}
${% for i in range(1, object.number_field_galois_group().degree()+1) %}
r_{ {{i}} }{% if not loop.last %}, {% endif %}
Expand All @@ -89,25 +89,27 @@ <h2>Generators of the action on the roots
</tbody>
</table>

<h2> Character values on conjugacy classes</h2>
<h2> {{KNOWL('group.representation.character', 'Character values')}} on {{KNOWL('gg.conjugacy_classes', 'conjugacy classes')}}</h2>
<table class="ntdata">
<thead><tr><td>Size</td><td>Order</td><td>Action on
<thead><tr><td>{{KNOWL('group.size_conjugacy_class', 'Size')}}</td><td>{{KNOWL('group.order_conjugacy_class', 'Order')}}</td><td>{{KNOWL('gg.galois_group', 'Action')}} on
{% if object.number_field_galois_group().degree() < 4 %}
${% for i in range(1, object.number_field_galois_group().degree()+1) %}
r_{ {{i}} }{% if not loop.last %}, {% endif %}
{% endfor %}$
{% else %}
$r_1, \ldots, r_{ {{object.number_field_galois_group().degree()}} }$
{% endif %}</td><td>Character value</td></tr></thead>
{% endif %}</td><td>{{KNOWL('group.representation.character', 'Character value')}}</td><td>{{KNOWL('artin.trace_of_complex_conj', 'Complex conjugation')}}</td></tr></thead>

<tbody>
{% for gen in object.number_field_galois_group().conjugacy_classes()%}
<tr {% if loop.index == object.number_field_galois_group().index_complex_conjugation()%}class="bluehighlight"{%endif%}>
<td align="center">${{gen.size()}}$</td><td align="center">${{gen.order()}}$</td><td align="center">${{cycle_string(gen.representative())}}$</td><td align="center">${{ object.character_formatted()[loop.index - 1] }}$</td></tr>
<tr>
<td align="center">${{gen.size()}}$</td><td align="center">${{gen.order()}}$</td><td align="center">${{cycle_string(gen.representative())}}$</td><td align="center">${{ object.character_formatted()[loop.index - 1] }}$</td>
<td align="center">
{% if loop.index == object.number_field_galois_group().index_complex_conjugation()%}&#x2713;{%endif%}</td>
</tr>
{% endfor %}
</tbody>
</table>
<p>The blue line marks the conjugacy class containing complex conjugation.</p>
{# For testing in progress
<div>
<br>
Expand Down