From 32b06c2cafaa32daf17c1adad075754199346bf9 Mon Sep 17 00:00:00 2001
From: Jan Snellman <jan.snellman@liu.se>
Date: Sat, 1 Jun 2024 14:42:33 +0200
Subject: [PATCH] =?UTF-8?q?tentan=202024-06-01=20med=20l=C3=B6sningar?=
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---
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 TATA54/TENTOR/tenta-TATA54-20240601.pdf       | Bin 130278 -> 130345 bytes
 .../TENTOR/tenta-TATA54-20240601.synctex.gz   | Bin 7002 -> 7025 bytes
 TATA54/TENTOR/tenta-TATA54-20240601.tex       |   2 +-
 .../2024/tenta-TATA54-20240601-losning.pdf    | Bin 0 -> 106733 bytes
 homepage/exams/2024/tenta-TATA54-20240601.pdf | Bin 0 -> 130345 bytes
 homepage/index.org                            |   3 +
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 .../2024/tenta-TATA54-20240601-losning.pdf    | Bin 0 -> 106733 bytes
 public/exams/2024/tenta-TATA54-20240601.pdf   | Bin 0 -> 130345 bytes
 public/index.html                             | 678 +++++++++---------
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 12 files changed, 360 insertions(+), 341 deletions(-)
 create mode 100644 homepage/exams/2024/tenta-TATA54-20240601-losning.pdf
 create mode 100644 homepage/exams/2024/tenta-TATA54-20240601.pdf
 create mode 100644 public/exams/2024/tenta-TATA54-20240601-losning.pdf
 create mode 100644 public/exams/2024/tenta-TATA54-20240601.pdf

diff --git a/TATA54/TENTOR/tenta-TATA54-20240601.log b/TATA54/TENTOR/tenta-TATA54-20240601.log
index e3b7fe2..5818976 100644
--- a/TATA54/TENTOR/tenta-TATA54-20240601.log
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index c51aa0872b94f4d68715f4320697239cec01418c..cddf1fad32c704332e7b10c6115bbcfa06a14d16 100644
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diff --git a/TATA54/TENTOR/tenta-TATA54-20240601.tex b/TATA54/TENTOR/tenta-TATA54-20240601.tex
index 3111a63..692543b 100644
--- a/TATA54/TENTOR/tenta-TATA54-20240601.tex
+++ b/TATA54/TENTOR/tenta-TATA54-20240601.tex
@@ -18,7 +18,7 @@
 \begin{document}
 {
 \noindent Talteori 6hp, Kurskod TATA54, Provkod TEN1 \\
-1 juni 2024 \\
+1 juni 2024 kl 8-12 \\
 LINKÖPINGS UNIVERSITET\\
 Matematiska Institutionen\\
 Examinator: Jan Snellman}
diff --git a/homepage/exams/2024/tenta-TATA54-20240601-losning.pdf b/homepage/exams/2024/tenta-TATA54-20240601-losning.pdf
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diff --git a/homepage/index.org b/homepage/index.org
index 3e2bfac..929310b 100644
--- a/homepage/index.org
+++ b/homepage/index.org
@@ -23,6 +23,8 @@ Skriftlig tentamen.
 | TATA54/TEN1 | Talteori | 2024-08-22 | 14-18 | Linköping | 2024-07-23 - 2024-08-12 |
 
 * Allra senaste nytt VT2024 <<allra-senaste-nytt>>
+** 2024-06-01
+[[file:exams/2024/tenta-TATA54-20240601-losning.pdf][Lösningar]] till [[file:exams/2024/tenta-TATA54-20240601.pdf][dagens tenta]] finns nu att beskåda. Jag hoppas kunna rätta tentorna till på fredag nästa vecka.
 ** 2024-05-18
 Återstående lektion är inställd. Läs kursboken om Gaussiska heltal
 och summor av två kvadrater, titta på föreläsningsanteckningarna om  [[file:lectures/swelecture11.pdf][Gaussiska heltal]]
@@ -407,6 +409,7 @@ De svenska versionerna är nyare. Några av föreläsningarna tar två tillfäll
 
 |      Datum | Examinator      | Tentamen                  | Lösningar                   |
 |------------+-----------------+---------------------------+-----------------------------|
+| 2024-06-01 | Jan Snellman    | [[file:exams/2024/tenta-TATA54-20240601.pdf][TATA5420240601]]            | [[file:exams/2024/tenta-TATA54-20240601-losning.pdf][TATA5420240601losn]]          |
 | 2023-08-17 | Jan Snellman    | [[file:exams/2023/tenta-TATA54-20230817.pdf][TATA5420230817]]            | [[file:exams/2023/tenta-TATA54-20230817soln.pdf][TATA5420230817soln]]          |
 | 2023-06-03 | Jan Snellman    | [[file:exams/2023/tenta-TATA54-20230603.pdf][TATA5420230603]]            | [[file:exams/2023/tenta-TATA54-20230603losn.pdf][TATA5420230603losn]]          |
 | 2022-08-18 | Jan Snellman    | [[file:exams/2022/tenta-TATA54-20220818.pdf][TATA5420220818]]            | lösning saknas              |
diff --git a/homepage/sitemap.org b/homepage/sitemap.org
index aa4e7f7..6e844cc 100644
--- a/homepage/sitemap.org
+++ b/homepage/sitemap.org
@@ -2,8 +2,6 @@
 
 - [[file:newlectures/newlecture.org][Föreläsningar i Talteori]]
 - [[file:newlectures/new-lect-0.org][Talteori översiktsföreläsning]]
-- [[file:lectures/Henselfaktorisering.org][Henselfaktorisering]]
-- [[file:senaste-nytt.org][senaste-nytt]]
 - [[file:labs/lecture5.org][lecture5]]
 - [[file:labs/lecture4.org][lecture4]]
 - [[file:labs/lecture3.org][lecture3]]
@@ -11,5 +9,7 @@
 - [[file:labs/lecture1.org][lecture1]]
 - [[file:labs/lecture0.org][lecture0]]
 - [[file:index.org][TATA54 Talteori]]
+- [[file:senaste-nytt.org][senaste-nytt]]
 - [[file:labs/kedjebraklab.org][Sagemath-övningar på kedjebråk]]
-- [[file:labs/HenselLyftLabHT2023.org][SageMath-övningar på Hensellyft, primitiva rötter, och KRS]]
\ No newline at end of file
+- [[file:labs/HenselLyftLabHT2023.org][SageMath-övningar på Hensellyft, primitiva rötter, och KRS]]
+- [[file:lectures/Henselfaktorisering.org][Henselfaktorisering]]
\ No newline at end of file
diff --git a/public/exams/2024/tenta-TATA54-20240601-losning.pdf b/public/exams/2024/tenta-TATA54-20240601-losning.pdf
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diff --git a/public/exams/2024/tenta-TATA54-20240601.pdf b/public/exams/2024/tenta-TATA54-20240601.pdf
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diff --git a/public/index.html b/public/index.html
index 50ea080..1d24d79 100644
--- a/public/index.html
+++ b/public/index.html
@@ -1,7 +1,7 @@
 <!DOCTYPE html>
 <html lang="sv">
 <head>
-<!-- 2024-05-18 -->
+<!-- 2024-06-01 -->
 <meta charset="utf-8" />
 <meta name="viewport" content="width=device-width, initial-scale=1" />
 <title>TATA54 Talteori</title>
@@ -63,148 +63,149 @@
 <h2>Inneh&aring;ll</h2>
 <div id="text-table-of-contents" role="doc-toc">
 <ul>
-<li><a href="#org8cf611f">Kurshemsida för TATA54, Talteori  </a>
+<li><a href="#org11cd8e4">Kurshemsida för TATA54, Talteori  </a>
 <ul>
-<li><a href="#orgd386ff5">Ämnesområde</a></li>
-<li><a href="#org5fa7c84">Poäng</a></li>
-<li><a href="#org1941399">Examinator</a></li>
-<li><a href="#orgd6f97a6">Schema</a></li>
-<li><a href="#orgcbec67a">Examination</a></li>
+<li><a href="#orgbf145e8">Ämnesområde</a></li>
+<li><a href="#orgbd10c80">Poäng</a></li>
+<li><a href="#orgdf916de">Examinator</a></li>
+<li><a href="#org0e97f91">Schema</a></li>
+<li><a href="#org978acab">Examination</a></li>
 </ul>
 </li>
-<li><a href="#orgda7b5cb">Allra senaste nytt VT2024 </a>
+<li><a href="#orgc6ffe16">Allra senaste nytt VT2024 </a>
 <ul>
-<li><a href="#orgb795cef">2024-05-18</a></li>
-<li><a href="#orgef16020">2024-05-16</a></li>
-<li><a href="#orgd3edf39">2024-05-13</a></li>
-<li><a href="#orgbb2c19c">2024-05-06</a></li>
-<li><a href="#org6916c72">2024-04-29</a></li>
-<li><a href="#org2fc933f">2024-04-23</a></li>
-<li><a href="#org0e96bfa">2024-04-22</a></li>
-<li><a href="#org796ce06">2024-04-14</a>
+<li><a href="#orgba4c7fd">2024-06-01</a></li>
+<li><a href="#org2921027">2024-05-18</a></li>
+<li><a href="#org580c3f6">2024-05-16</a></li>
+<li><a href="#orgfb06446">2024-05-13</a></li>
+<li><a href="#org36a5a6c">2024-05-06</a></li>
+<li><a href="#orge2800f4">2024-04-29</a></li>
+<li><a href="#org8296c85">2024-04-23</a></li>
+<li><a href="#orgc936b6f">2024-04-22</a></li>
+<li><a href="#org4dc177a">2024-04-14</a>
 <ul>
-<li><a href="#org43f6ac2">Uppgifter att räkna till nästa gång</a></li>
-<li><a href="#org87e8642">Datorlaboration</a></li>
+<li><a href="#org55f3eec">Uppgifter att räkna till nästa gång</a></li>
+<li><a href="#orgbc6c0fd">Datorlaboration</a></li>
 </ul>
 </li>
-<li><a href="#orgff00c35">2024-04-07</a>
+<li><a href="#org865cc31">2024-04-07</a>
 <ul>
-<li><a href="#org1198084">Uppgifter att räkna till nästa gång</a></li>
-<li><a href="#orgcb6d72a">Beviset för kvadratisk reciprocitet</a></li>
+<li><a href="#org0f556e1">Uppgifter att räkna till nästa gång</a></li>
+<li><a href="#org9f5a134">Beviset för kvadratisk reciprocitet</a></li>
 </ul>
 </li>
-<li><a href="#org84ac4df">2024-04-02</a></li>
-<li><a href="#orgecb5391">2024-03-11</a></li>
-<li><a href="#orged53d50">2024-03-06</a></li>
-<li><a href="#org69c699e">2024-03-05</a></li>
-<li><a href="#org8b45b59">2024-02-29</a></li>
-<li><a href="#org6ee578d">2024-02-20</a></li>
-<li><a href="#org15914f2">2024-02-12</a></li>
-<li><a href="#org445fa32">2024-02-07</a></li>
-<li><a href="#org887cf9c">2024-01-30</a>
+<li><a href="#org429e5d4">2024-04-02</a></li>
+<li><a href="#orgfa53138">2024-03-11</a></li>
+<li><a href="#org54eab67">2024-03-06</a></li>
+<li><a href="#org73f95a7">2024-03-05</a></li>
+<li><a href="#orgf0c9193">2024-02-29</a></li>
+<li><a href="#org7f7d557">2024-02-20</a></li>
+<li><a href="#org6fc379e">2024-02-12</a></li>
+<li><a href="#org7b22a27">2024-02-07</a></li>
+<li><a href="#orgbc98f91">2024-01-30</a>
 <ul>
-<li><a href="#orge760dad">Tvillingfria primtal</a></li>
+<li><a href="#org7ada8fb">Tvillingfria primtal</a></li>
 </ul>
 </li>
-<li><a href="#org488e68b">2024-01-23</a></li>
-<li><a href="#org96d1546">2024-01-16</a></li>
+<li><a href="#org5081bbc">2024-01-23</a></li>
+<li><a href="#orgec17e4b">2024-01-16</a></li>
 </ul>
 </li>
-<li><a href="#org7fb0ecc">Kurslitteratur </a>
+<li><a href="#org83cdbc2">Kurslitteratur </a>
 <ul>
-<li><a href="#org1046eac">Kursbok</a></li>
-<li><a href="#orgb1f71c0">Bredvidläsning</a>
+<li><a href="#org969d2a9">Kursbok</a></li>
+<li><a href="#orgfa4a7ab">Bredvidläsning</a>
 <ul>
-<li><a href="#org1304ec9">Fritt tillgängligt material</a></li>
-<li><a href="#org156f528">Andra lämpliga böcker</a></li>
+<li><a href="#orge4da471">Fritt tillgängligt material</a></li>
+<li><a href="#org2169300">Andra lämpliga böcker</a></li>
 </ul>
 </li>
 </ul>
 </li>
-<li><a href="#org777e787">Kursinnehåll </a>
+<li><a href="#orgc6c0ef4">Kursinnehåll </a>
 <ul>
-<li><a href="#org8bd2546">Avsnitt av kursboken</a>
+<li><a href="#org43c7b85">Avsnitt av kursboken</a>
 <ul>
-<li><a href="#org5c92b21">Rekommenderade uppgifter </a></li>
+<li><a href="#org0c49604">Rekommenderade uppgifter </a></li>
 </ul>
 </li>
-<li><a href="#orgf97dd5f">Kort beskrivning av kursinnehållet</a></li>
+<li><a href="#org33f6268">Kort beskrivning av kursinnehållet</a></li>
 </ul>
 </li>
-<li><a href="#orgb1afa66">Föreläsningar </a></li>
-<li><a href="#orgd9a1a3d">Tentor </a></li>
-<li><a href="#orgaa8bfe8">Datorlaborationer </a>
+<li><a href="#org0e51919">Föreläsningar </a></li>
+<li><a href="#orgf5fd67d">Tentor </a></li>
+<li><a href="#orgac41624">Datorlaborationer </a>
 <ul>
-<li><a href="#org0e9470f">SageMath</a></li>
-<li><a href="#org4e01f4d">Kod från vissa föreläsningar</a></li>
-<li><a href="#org771ae33">Laborationer</a>
+<li><a href="#orgd0ccf06">SageMath</a></li>
+<li><a href="#orgd3b0180">Kod från vissa föreläsningar</a></li>
+<li><a href="#org85c34f4">Laborationer</a>
 <ul>
-<li><a href="#orge16b88e">Hensellyft, Primitiva rötter, Kinesiska restsatsen</a></li>
-<li><a href="#org254ad94">Kedjebråk</a></li>
+<li><a href="#orga1be7da">Hensellyft, Primitiva rötter, Kinesiska restsatsen</a></li>
+<li><a href="#org2528f16">Kedjebråk</a></li>
 </ul>
 </li>
 </ul>
 </li>
-<li><a href="#orgcab2c84">Tidigare år </a>
+<li><a href="#org27d49bb">Tidigare år </a>
 <ul>
-<li><a href="#org5db15ec">TATA54 Anteckningar från tidigare år</a>
+<li><a href="#orga1fa650">TATA54 Anteckningar från tidigare år</a>
 <ul>
-<li><a href="#org2e74361">2023</a></li>
-<li><a href="#org39f254e">2021</a></li>
-<li><a href="#orgab915cd">2020</a></li>
-<li><a href="#org51934a3">2019</a></li>
-<li><a href="#org51909e4">2018</a></li>
-<li><a href="#org50057cb">2017</a></li>
+<li><a href="#orgd4aaf8a">2023</a></li>
+<li><a href="#orgc39991d">2021</a></li>
+<li><a href="#org6bff760">2020</a></li>
+<li><a href="#org85cd779">2019</a></li>
+<li><a href="#org21f5089">2018</a></li>
+<li><a href="#org7ce4987">2017</a></li>
 </ul>
 </li>
 </ul>
 </li>
-<li><a href="#org27e935f">Index</a></li>
+<li><a href="#orga44ea53">Index</a></li>
 </ul>
 </div>
 </nav>
 
-<section id="outline-container-org8cf611f" class="outline-2">
-<h2 id="org8cf611f">Kurshemsida för TATA54, Talteori  <a id="org744b74f"></a></h2>
-<div class="outline-text-2" id="text-org8cf611f">
+<section id="outline-container-org11cd8e4" class="outline-2">
+<h2 id="org11cd8e4">Kurshemsida för TATA54, Talteori  <a id="orgebfa722"></a></h2>
+<div class="outline-text-2" id="text-org11cd8e4">
 </div>
-<div id="outline-container-orgd386ff5" class="outline-3">
-<h3 id="orgd386ff5">Ämnesområde</h3>
-<div class="outline-text-3" id="text-orgd386ff5">
+<div id="outline-container-orgbf145e8" class="outline-3">
+<h3 id="orgbf145e8">Ämnesområde</h3>
+<div class="outline-text-3" id="text-orgbf145e8">
 <p>
 Matematik
 </p>
 </div>
 </div>
-<div id="outline-container-org5fa7c84" class="outline-3">
-<h3 id="org5fa7c84">Poäng</h3>
-<div class="outline-text-3" id="text-org5fa7c84">
+<div id="outline-container-orgbd10c80" class="outline-3">
+<h3 id="orgbd10c80">Poäng</h3>
+<div class="outline-text-3" id="text-orgbd10c80">
 <p>
 6 hp
 </p>
 </div>
 </div>
-<div id="outline-container-org1941399" class="outline-3">
-<h3 id="org1941399">Examinator</h3>
-<div class="outline-text-3" id="text-org1941399">
+<div id="outline-container-orgdf916de" class="outline-3">
+<h3 id="orgdf916de">Examinator</h3>
+<div class="outline-text-3" id="text-orgdf916de">
 <p>
 <a href="https://liu.se/medarbetare/jansn19">Jan Snellman</a> (se även min
 <a href="https://jansn19.gitlab-pages.liu.se/jan-snellman-hemsida/">hemsida</a>)
 </p>
 </div>
 </div>
-<div id="outline-container-orgd6f97a6" class="outline-3">
-<h3 id="orgd6f97a6">Schema</h3>
-<div class="outline-text-3" id="text-orgd6f97a6">
+<div id="outline-container-org0e97f91" class="outline-3">
+<h3 id="org0e97f91">Schema</h3>
+<div class="outline-text-3" id="text-org0e97f91">
 <p>
 Se <a href="https://cloud.timeedit.net/liu/web/schema/ri167XQQ538Z50Qm07065gZ6y2Y7306Q6Y43Y1.html">TimeEdit</a>
 </p>
 </div>
 </div>
 
-<div id="outline-container-orgcbec67a" class="outline-3">
-<h3 id="orgcbec67a">Examination</h3>
-<div class="outline-text-3" id="text-orgcbec67a">
+<div id="outline-container-org978acab" class="outline-3">
+<h3 id="org978acab">Examination</h3>
+<div class="outline-text-3" id="text-org978acab">
 <p>
 Skriftlig tentamen.
 </p>
@@ -258,13 +259,21 @@ Skriftlig tentamen.
 </div>
 </section>
 
-<section id="outline-container-orgda7b5cb" class="outline-2">
-<h2 id="orgda7b5cb">Allra senaste nytt VT2024 <a id="org53d52c1"></a></h2>
-<div class="outline-text-2" id="text-orgda7b5cb">
+<section id="outline-container-orgc6ffe16" class="outline-2">
+<h2 id="orgc6ffe16">Allra senaste nytt VT2024 <a id="orgba15c0d"></a></h2>
+<div class="outline-text-2" id="text-orgc6ffe16">
 </div>
-<div id="outline-container-orgb795cef" class="outline-3">
-<h3 id="orgb795cef">2024-05-18</h3>
-<div class="outline-text-3" id="text-orgb795cef">
+<div id="outline-container-orgba4c7fd" class="outline-3">
+<h3 id="orgba4c7fd">2024-06-01</h3>
+<div class="outline-text-3" id="text-orgba4c7fd">
+<p>
+<a href="exams/2024/tenta-TATA54-20240601-losning.pdf">Lösningar</a> till <a href="exams/2024/tenta-TATA54-20240601.pdf">dagens tenta</a> finns nu att beskåda. Jag hoppas kunna rätta tentorna till på fredag nästa vecka.
+</p>
+</div>
+</div>
+<div id="outline-container-org2921027" class="outline-3">
+<h3 id="org2921027">2024-05-18</h3>
+<div class="outline-text-3" id="text-org2921027">
 <p>
 Återstående lektion är inställd. Läs kursboken om Gaussiska heltal
 och summor av två kvadrater, titta på föreläsningsanteckningarna om  <a href="lectures/swelecture11.pdf">Gaussiska heltal</a>
@@ -275,13 +284,13 @@ ingår i kursen, som kongruenser modulo Gaussiska heltal.
 
 <p>
 Jag påminner om att kursens innehåll är specificerad som en lista av kapitel i
-Rosen, finns <a href="#orgd3a32bb">längre ned på denna sida</a>.
+Rosen, finns <a href="#org06fee11">längre ned på denna sida</a>.
 </p>
 </div>
 </div>
-<div id="outline-container-orgef16020" class="outline-3">
-<h3 id="orgef16020">2024-05-16</h3>
-<div class="outline-text-3" id="text-orgef16020">
+<div id="outline-container-org580c3f6" class="outline-3">
+<h3 id="org580c3f6">2024-05-16</h3>
+<div class="outline-text-3" id="text-org580c3f6">
 <p>
 Jag är inlagd på sjukhus&#x2026; Det är väl osäkert om det går att hitta vikarier
 till lektionerna i morgon och på måndag. Fråga någon av studierektorerna, eller proprefekt Jesper Thoren.
@@ -292,35 +301,35 @@ Tentamen skall kunna bli av utan problem!
 </p>
 </div>
 </div>
-<div id="outline-container-orgd3edf39" class="outline-3">
-<h3 id="orgd3edf39">2024-05-13</h3>
-<div class="outline-text-3" id="text-orgd3edf39">
+<div id="outline-container-orgfb06446" class="outline-3">
+<h3 id="orgfb06446">2024-05-13</h3>
+<div class="outline-text-3" id="text-orgfb06446">
 <p>
 Till på fredag så tittar vi på 13.4.3abc, 13.4.5, 13.4.11.
 Till sista lektionen (måndag 20 maj) så tittar vi på 14.1.17ab, 14.1.23.
 </p>
 </div>
 </div>
-<div id="outline-container-orgbb2c19c" class="outline-3">
-<h3 id="orgbb2c19c">2024-05-06</h3>
-<div class="outline-text-3" id="text-orgbb2c19c">
+<div id="outline-container-org36a5a6c" class="outline-3">
+<h3 id="org36a5a6c">2024-05-06</h3>
+<div class="outline-text-3" id="text-org36a5a6c">
 <p>
 Till nästa gång så tittar vi på 13.1.15, 13.3.1.b, 13.3.2g, 13.3.6, 13.3.8.
 </p>
 </div>
 </div>
 
-<div id="outline-container-org6916c72" class="outline-3">
-<h3 id="org6916c72">2024-04-29</h3>
-<div class="outline-text-3" id="text-org6916c72">
+<div id="outline-container-orge2800f4" class="outline-3">
+<h3 id="orge2800f4">2024-04-29</h3>
+<div class="outline-text-3" id="text-orge2800f4">
 <p>
 Till nästa gång så tittar vi på 12.4.3b, 12.4.8, 13.1.2, 13.1.3. 
 </p>
 </div>
 </div>
-<div id="outline-container-org2fc933f" class="outline-3">
-<h3 id="org2fc933f">2024-04-23</h3>
-<div class="outline-text-3" id="text-org2fc933f">
+<div id="outline-container-org8296c85" class="outline-3">
+<h3 id="org8296c85">2024-04-23</h3>
+<div class="outline-text-3" id="text-org8296c85">
 <p>
 Jag pratade om &rdquo;Eulers regel&rdquo; som uttrycker kedjebråkskonvergenterna
 q<sub>n</sub>/p<sub>n</sub> till [x<sub>0</sub>;x<sub>1,x</sub><sub>2,&hellip;</sub>] som rationella funktioner i
@@ -333,9 +342,9 @@ beskrivningen kan visas med induktion.
 </p>
 </div>
 </div>
-<div id="outline-container-org0e96bfa" class="outline-3">
-<h3 id="org0e96bfa">2024-04-22</h3>
-<div class="outline-text-3" id="text-org0e96bfa">
+<div id="outline-container-orgc936b6f" class="outline-3">
+<h3 id="orgc936b6f">2024-04-22</h3>
+<div class="outline-text-3" id="text-orgc936b6f">
 <p>
 Vi har två föreläsningar den kommande veckan, torsdag 24 april samt fredag 25 april.
 Till på torsdag tittar ni på 12.3.1c, 12.2.2a (nedskalad till första 4), 12.3.4 (nedskalat till första 5, approximationsfel &lt; 1/100).
@@ -343,21 +352,21 @@ Till på fredag 12.4.5b, 12.4.6b
 </p>
 </div>
 </div>
-<div id="outline-container-org796ce06" class="outline-3">
-<h3 id="org796ce06">2024-04-14</h3>
-<div class="outline-text-3" id="text-org796ce06">
+<div id="outline-container-org4dc177a" class="outline-3">
+<h3 id="org4dc177a">2024-04-14</h3>
+<div class="outline-text-3" id="text-org4dc177a">
 </div>
-<div id="outline-container-org43f6ac2" class="outline-4">
-<h4 id="org43f6ac2">Uppgifter att räkna till nästa gång</h4>
-<div class="outline-text-4" id="text-org43f6ac2">
+<div id="outline-container-org55f3eec" class="outline-4">
+<h4 id="org55f3eec">Uppgifter att räkna till nästa gång</h4>
+<div class="outline-text-4" id="text-org55f3eec">
 <p>
 12.2.1bf, 12.2.2cd, 12.2.3c, 12.2.11
 </p>
 </div>
 </div>
-<div id="outline-container-org87e8642" class="outline-4">
-<h4 id="org87e8642">Datorlaboration</h4>
-<div class="outline-text-4" id="text-org87e8642">
+<div id="outline-container-orgbc6c0fd" class="outline-4">
+<h4 id="orgbc6c0fd">Datorlaboration</h4>
+<div class="outline-text-4" id="text-orgbc6c0fd">
 <p>
 Titta på <a href="labs/kedjebraklabweb.html">kedjebråkslabben</a> och använd den för att göra 12.2.3df.
 Hitta en formel för a(k,m) = [k;k,&#x2026;,k] (längd m). Vad är
@@ -366,21 +375,21 @@ gränsvärdet av a(k,m) då m går mot oändligheten?
 </div>
 </div>
 </div>
-<div id="outline-container-orgff00c35" class="outline-3">
-<h3 id="orgff00c35">2024-04-07</h3>
-<div class="outline-text-3" id="text-orgff00c35">
+<div id="outline-container-org865cc31" class="outline-3">
+<h3 id="org865cc31">2024-04-07</h3>
+<div class="outline-text-3" id="text-org865cc31">
 </div>
-<div id="outline-container-org1198084" class="outline-4">
-<h4 id="org1198084">Uppgifter att räkna till nästa gång</h4>
-<div class="outline-text-4" id="text-org1198084">
+<div id="outline-container-org0f556e1" class="outline-4">
+<h4 id="org0f556e1">Uppgifter att räkna till nästa gång</h4>
+<div class="outline-text-4" id="text-org0f556e1">
 <p>
 11.1.1d, 11.1.4, 11.1.25ab, 11.2.1cd, 11.2.2, 11.2.3,11.2.4
 </p>
 </div>
 </div>
-<div id="outline-container-orgcb6d72a" class="outline-4">
-<h4 id="orgcb6d72a">Beviset för kvadratisk reciprocitet</h4>
-<div class="outline-text-4" id="text-orgcb6d72a">
+<div id="outline-container-org9f5a134" class="outline-4">
+<h4 id="org9f5a134">Beviset för kvadratisk reciprocitet</h4>
+<div class="outline-text-4" id="text-org9f5a134">
 <p>
 Jag stakade mig lite vid bevist för kvadratisk reciprocitet. Speciellt så oroade jag mig över
 om det kunde finnas gitterpunkter (x,y) med x=(p-1)/2, (q-1)/2 &lt; y &lt;= (q/p)x.
@@ -389,17 +398,17 @@ Men det är enkelt att visa att (p-1)/2*q &lt; (q-1)2 +1, så det går inte. Bev
 </div>
 </div>
 </div>
-<div id="outline-container-org84ac4df" class="outline-3">
-<h3 id="org84ac4df">2024-04-02</h3>
-<div class="outline-text-3" id="text-org84ac4df">
+<div id="outline-container-org429e5d4" class="outline-3">
+<h3 id="org429e5d4">2024-04-02</h3>
+<div class="outline-text-3" id="text-org429e5d4">
 <p>
 På fredag så räknar vi de uppgifter om diskreta logaritmer vi inte hann med förra gången.
 </p>
 </div>
 </div>
-<div id="outline-container-orgecb5391" class="outline-3">
-<h3 id="orgecb5391">2024-03-11</h3>
-<div class="outline-text-3" id="text-orgecb5391">
+<div id="outline-container-orgfa53138" class="outline-3">
+<h3 id="orgfa53138">2024-03-11</h3>
+<div class="outline-text-3" id="text-orgfa53138">
 <p>
 Jag har nu bokat om föreläsningarna till Fredagar kl 13-15 (fortfarande i kompakta rummet)
 samt måndag 25 mars kl 13-15,
@@ -408,9 +417,9 @@ Det blir 10 tillfällen totalt, vilket bör räcka.
 </p>
 </div>
 </div>
-<div id="outline-container-orged53d50" class="outline-3">
-<h3 id="orged53d50">2024-03-06</h3>
-<div class="outline-text-3" id="text-orged53d50">
+<div id="outline-container-org54eab67" class="outline-3">
+<h3 id="org54eab67">2024-03-06</h3>
+<div class="outline-text-3" id="text-org54eab67">
 <p>
 Det verkar som fredagar kl 13-15 inte kolliderar med andra kurser, så jag planerar att flytta lektioner till den tiden.
 Det är 8 sådana fredagar under perioden, så helst skall jag schemalägga tre tillfällen till.
@@ -419,9 +428,9 @@ Möjliga tider är måndag 25 mars kl 13-15, torsdag 25 april kl 13-15, måndag
 </p>
 </div>
 </div>
-<div id="outline-container-org69c699e" class="outline-3">
-<h3 id="org69c699e">2024-03-05</h3>
-<div class="outline-text-3" id="text-org69c699e">
+<div id="outline-container-org73f95a7" class="outline-3">
+<h3 id="org73f95a7">2024-03-05</h3>
+<div class="outline-text-3" id="text-org73f95a7">
 <p>
 Det har framförts önskemål om att byta tid för lektionerna i period 4 för att undvika
 kollision med kursen i optimeringslära.
@@ -442,9 +451,9 @@ Det rör sig om 11 tillfällen totalt.
 </p>
 </div>
 </div>
-<div id="outline-container-org8b45b59" class="outline-3">
-<h3 id="org8b45b59">2024-02-29</h3>
-<div class="outline-text-3" id="text-org8b45b59">
+<div id="outline-container-orgf0c9193" class="outline-3">
+<h3 id="orgf0c9193">2024-02-29</h3>
+<div class="outline-text-3" id="text-orgf0c9193">
 <p>
 Till nästa lektion så tittar ni på uppgifterna
 9.1.1d, 9.1.2d, 9.1.5b, 9.1.6d, 9.1.10, 9.1.20.
@@ -458,9 +467,9 @@ Till lektionen efter det (27 mars) så räknar ni
 </div>
 </div>
 
-<div id="outline-container-org6ee578d" class="outline-3">
-<h3 id="org6ee578d">2024-02-20</h3>
-<div class="outline-text-3" id="text-org6ee578d">
+<div id="outline-container-org7f7d557" class="outline-3">
+<h3 id="org7f7d557">2024-02-20</h3>
+<div class="outline-text-3" id="text-org7f7d557">
 <p>
 Till nästa lektion (27 feb) så tittar ni på uppgifterna
 4.2.15, 4.2.16, 4.2.18, 4.4.2ab. Använd Hensels lemma vid behov.
@@ -471,7 +480,7 @@ grad 5 eller 6.
 </p>
 
 <div class="org-src-container">
-<pre class="src src-sage" id="org2172c13">def H_L_tree(f, p: int, r: int):
+<pre class="src src-sage" id="org4d90c6b">def H_L_tree(f, p: int, r: int):
 
     vert = [(0,0)]
     for j in range(1,r+1):
@@ -500,25 +509,25 @@ H_L_tree(f,p,r).plot(layout='tree')
 </div>
 
 
-<figure id="orgce8829f">
+<figure id="org0119fe4">
 <img src="img/Henseluppgift.png" alt="Henseluppgift.png">
 
 </figure>
 </div>
 </div>
 
-<div id="outline-container-org15914f2" class="outline-3">
-<h3 id="org15914f2">2024-02-12</h3>
-<div class="outline-text-3" id="text-org15914f2">
+<div id="outline-container-org6fc379e" class="outline-3">
+<h3 id="org6fc379e">2024-02-12</h3>
+<div class="outline-text-3" id="text-org6fc379e">
 <p>
 Till nästa lektion (20 feb) så tittar ni på uppgifterna
 7.1.5, 7.2.1d, 7.2.8, 7.2.35, 7.4.23, 7.4.24
 </p>
 </div>
 </div>
-<div id="outline-container-org445fa32" class="outline-3">
-<h3 id="org445fa32">2024-02-07</h3>
-<div class="outline-text-3" id="text-org445fa32">
+<div id="outline-container-org7b22a27" class="outline-3">
+<h3 id="org7b22a27">2024-02-07</h3>
+<div class="outline-text-3" id="text-org7b22a27">
 <p>
 Till nästa lektion (12 feb) så tittar ni på uppgifterna
 4.1.5, 4.1.9b, 4.2.8c,4.3.3.
@@ -528,9 +537,9 @@ att vara i Kompakta rummet.
 </div>
 </div>
 
-<div id="outline-container-org887cf9c" class="outline-3">
-<h3 id="org887cf9c">2024-01-30</h3>
-<div class="outline-text-3" id="text-org887cf9c">
+<div id="outline-container-orgbc98f91" class="outline-3">
+<h3 id="orgbc98f91">2024-01-30</h3>
+<div class="outline-text-3" id="text-orgbc98f91">
 <ul class="org-ul">
 <li>Till nästa gång så tittar ni på uppgifterna 3.3.10, 3.4.1c,3.4.20, 3.5.32,3.7.1c</li>
 <li>Dessutom: visa att om \(m,n\) relativt prima, \(m|a\), \(n|a\), så \(mn|a\).</li>
@@ -539,9 +548,9 @@ att vara i Kompakta rummet.
 </ul>
 </div>
 
-<div id="outline-container-orge760dad" class="outline-4">
-<h4 id="orge760dad">Tvillingfria primtal</h4>
-<div class="outline-text-4" id="text-orge760dad">
+<div id="outline-container-org7ada8fb" class="outline-4">
+<h4 id="org7ada8fb">Tvillingfria primtal</h4>
+<div class="outline-text-4" id="text-org7ada8fb">
 <p>
 Jag använde följande sagemath-kod för att hitta \((k,n)\) med
 sgd(k,n)=1, sgd(k-2,n) &gt; 1, sgd(k+2,n) &gt;1, så att Dirichlets sats
@@ -549,7 +558,7 @@ garanterar oändligt många primtal i nZ + k.
 </p>
 
 <div class="org-src-container">
-<pre class="src src-sage" id="org173cf70">def repr(n):
+<pre class="src src-sage" id="org1e013cf">def repr(n):
     return [k for k in range(n) if gcd(k,n)==1]
 
 def isolated(n):
@@ -580,17 +589,17 @@ Körning visar att n=15, k=7 är minsta exemplet.
 </div>
 </div>
 
-<div id="outline-container-org488e68b" class="outline-3">
-<h3 id="org488e68b">2024-01-23</h3>
-<div class="outline-text-3" id="text-org488e68b">
+<div id="outline-container-org5081bbc" class="outline-3">
+<h3 id="org5081bbc">2024-01-23</h3>
+<div class="outline-text-3" id="text-org5081bbc">
 <p>
 Till nästa gång så tittar ni på uppgifterna 1.5.18, 1.5.36, 3.1.6, 3.2.10.
 </p>
 </div>
 </div>
-<div id="outline-container-org96d1546" class="outline-3">
-<h3 id="org96d1546">2024-01-16</h3>
-<div class="outline-text-3" id="text-org96d1546">
+<div id="outline-container-orgec17e4b" class="outline-3">
+<h3 id="orgec17e4b">2024-01-16</h3>
+<div class="outline-text-3" id="text-orgec17e4b">
 <ul class="org-ul">
 <li>Första föreläsningen, information om kursupplägget, kurslitteratur, tentamen.</li>
 <li>Pratade om <a href="lectures/swelecture0.pdf">talteori som matematisk disciplin</a>, mycket översiktligt.</li>
@@ -598,7 +607,7 @@ Till nästa gång så tittar ni på uppgifterna 1.5.18, 1.5.36, 3.1.6, 3.2.10.
 <li>Önskemål om information om vilka/vilket kapitel i kursboken en given
 föreläsning är kopplad till, skall ordna.</li>
 <li>Vi kommer att gå igenom uppgifter
-(hämtade från listan med <a href="#org9bd3039">rekommenderade uppgifter</a>)
+(hämtade från listan med <a href="#orgd99cfc5">rekommenderade uppgifter</a>)
 på vissa av lektionstillfällena, kanske första 45 minuterna. Annonseras här.</li>
 <li>Jag glömde att framföra följande förmaning: även om kursen examineras med en enda skriftlig
 tentamen i juni så är det viktigt att studera kontinuerligt, och räkna uppgifter.
@@ -612,19 +621,19 @@ till, nu med fokus på att förstå bevisen.</li>
 </div>
 </section>
 
-<section id="outline-container-org7fb0ecc" class="outline-2">
-<h2 id="org7fb0ecc">Kurslitteratur <a id="org43c1e74"></a></h2>
-<div class="outline-text-2" id="text-org7fb0ecc">
+<section id="outline-container-org83cdbc2" class="outline-2">
+<h2 id="org83cdbc2">Kurslitteratur <a id="org47e9684"></a></h2>
+<div class="outline-text-2" id="text-org83cdbc2">
 </div>
-<div id="outline-container-org1046eac" class="outline-3">
-<h3 id="org1046eac">Kursbok</h3>
-<div class="outline-text-3" id="text-org1046eac">
+<div id="outline-container-org969d2a9" class="outline-3">
+<h3 id="org969d2a9">Kursbok</h3>
+<div class="outline-text-3" id="text-org969d2a9">
 <p>
 Kursbok är <a href="https://www.prisjakt.nu/produkt.php?p=8083662">Elementary Number Theory</a> av Kenneth Rosen.
 </p>
 
 
-<figure id="org2a1061a">
+<figure id="orgc8a4fed">
 <img src="img/Rosen6ed.png" alt="Rosen6ed.png" width="40%">
 
 <figcaption><span class="figure-number">Illustration 1 </span>Elementary Number Theory, Kenneth Rosen</figcaption>
@@ -636,13 +645,13 @@ vilket inte påverkar innehållet.
 </p>
 </div>
 </div>
-<div id="outline-container-orgb1f71c0" class="outline-3">
-<h3 id="orgb1f71c0">Bredvidläsning</h3>
-<div class="outline-text-3" id="text-orgb1f71c0">
+<div id="outline-container-orgfa4a7ab" class="outline-3">
+<h3 id="orgfa4a7ab">Bredvidläsning</h3>
+<div class="outline-text-3" id="text-orgfa4a7ab">
 </div>
-<div id="outline-container-org1304ec9" class="outline-4">
-<h4 id="org1304ec9">Fritt tillgängligt material</h4>
-<div class="outline-text-4" id="text-org1304ec9">
+<div id="outline-container-orge4da471" class="outline-4">
+<h4 id="orge4da471">Fritt tillgängligt material</h4>
+<div class="outline-text-4" id="text-orge4da471">
 <p>
 Följande böcker är fritt tillgängliga på nätet. Kursboken är väldigt grundlig
 och täcker kursinnehållet, men det kan ändå vara bra att se olika
@@ -660,9 +669,9 @@ Jolly för en metod att hitta primitiva rötter.</li>
 </ul>
 </div>
 </div>
-<div id="outline-container-org156f528" class="outline-4">
-<h4 id="org156f528">Andra lämpliga böcker</h4>
-<div class="outline-text-4" id="text-org156f528">
+<div id="outline-container-org2169300" class="outline-4">
+<h4 id="org2169300">Andra lämpliga böcker</h4>
+<div class="outline-text-4" id="text-org2169300">
 <ul class="org-ul">
 <li>BAKER. A concise introduction to the theory of numbers.</li>
 <li>DAVENPORT. The higher arithmetic.</li>
@@ -682,13 +691,13 @@ fortbildning efter denna kurs.</li>
 
 
 
-<section id="outline-container-org777e787" class="outline-2">
-<h2 id="org777e787">Kursinnehåll <a id="orgd3a32bb"></a></h2>
-<div class="outline-text-2" id="text-org777e787">
+<section id="outline-container-orgc6c0ef4" class="outline-2">
+<h2 id="orgc6c0ef4">Kursinnehåll <a id="org06fee11"></a></h2>
+<div class="outline-text-2" id="text-orgc6c0ef4">
 </div>
-<div id="outline-container-org8bd2546" class="outline-3">
-<h3 id="org8bd2546">Avsnitt av kursboken</h3>
-<div class="outline-text-3" id="text-org8bd2546">
+<div id="outline-container-org43c7b85" class="outline-3">
+<h3 id="org43c7b85">Avsnitt av kursboken</h3>
+<div class="outline-text-3" id="text-org43c7b85">
 <p>
 Kursen omfattar följande delar/kapitel av kursboken: 1.5, 2.1, 3, 4.1-4.4, 5.1,
 6, 7.1-7.4, 9, 11.1-11.4, 12, 13.1-13.4,14. Jag kommer inte att föreläsa om
@@ -698,15 +707,15 @@ från just dessa avsnitt.
 </p>
 </div>
 
-<div id="outline-container-org5c92b21" class="outline-4">
-<h4 id="org5c92b21">Rekommenderade uppgifter <a id="org9bd3039"></a></h4>
-<div class="outline-text-4" id="text-org5c92b21">
+<div id="outline-container-org0c49604" class="outline-4">
+<h4 id="org0c49604">Rekommenderade uppgifter <a id="orgd99cfc5"></a></h4>
+<div class="outline-text-4" id="text-org0c49604">
 </div>
 <ul class="org-ul">
-<li><a id="org180341a"></a>Kap 1<br>
+<li><a id="org1cc7e3a"></a>Kap 1<br>
 <ul class="org-ul">
-<li><a id="org7ad84d9"></a>1.5<br>
-<div class="outline-text-6" id="text-org7ad84d9">
+<li><a id="org978ec51"></a>1.5<br>
+<div class="outline-text-6" id="text-org978ec51">
 <p>
 8a,9b,18,36,37
 </p>
@@ -714,46 +723,46 @@ från just dessa avsnitt.
 </li>
 </ul>
 </li>
-<li><a id="org87a9a00"></a>Kap 3<br>
+<li><a id="org0585282"></a>Kap 3<br>
 <ul class="org-ul">
-<li><a id="org8d58eb7"></a>3.1<br>
-<div class="outline-text-6" id="text-org8d58eb7">
+<li><a id="orgba991bb"></a>3.1<br>
+<div class="outline-text-6" id="text-orgba991bb">
 <p>
 1ab, 2f,6.
 </p>
 </div>
 </li>
-<li><a id="org7773607"></a>3.2<br>
-<div class="outline-text-6" id="text-org7773607">
+<li><a id="org1d83cec"></a>3.2<br>
+<div class="outline-text-6" id="text-org1d83cec">
 <ol class="org-ol">
 <li></li>
 </ol>
 </div>
 </li>
-<li><a id="orgd200f28"></a>3.3<br>
-<div class="outline-text-6" id="text-orgd200f28">
+<li><a id="org1f58297"></a>3.3<br>
+<div class="outline-text-6" id="text-org1f58297">
 <p>
 1df,2ef,10,24,30,31
 </p>
 </div>
 </li>
-<li><a id="org5f021b7"></a>3.4<br>
-<div class="outline-text-6" id="text-org5f021b7">
+<li><a id="org658bec3"></a>3.4<br>
+<div class="outline-text-6" id="text-org658bec3">
 <p>
 1bc, 19*, 20*.
 </p>
 </div>
 </li>
-<li><a id="org54380bd"></a>3.5<br>
-<div class="outline-text-6" id="text-org54380bd">
+<li><a id="orgb0fdc9e"></a>3.5<br>
+<div class="outline-text-6" id="text-orgb0fdc9e">
 <p>
 1il, 2, 4c, 29cd,
   32*, 34, 58ac.
 </p>
 </div>
 </li>
-<li><a id="orge8d3c38"></a>3.7<br>
-<div class="outline-text-6" id="text-orge8d3c38">
+<li><a id="org45b4d99"></a>3.7<br>
+<div class="outline-text-6" id="text-org45b4d99">
 <p>
 1cd
 </p>
@@ -761,31 +770,31 @@ från just dessa avsnitt.
 </li>
 </ul>
 </li>
-<li><a id="org3c52ecc"></a>Kap 4<br>
+<li><a id="orgbb7b14d"></a>Kap 4<br>
 <ul class="org-ul">
-<li><a id="org60d0871"></a>4.1<br>
-<div class="outline-text-6" id="text-org60d0871">
+<li><a id="org06c1fef"></a>4.1<br>
+<div class="outline-text-6" id="text-org06c1fef">
 <p>
 4,5,7ab,9bc.
 </p>
 </div>
 </li>
-<li><a id="org6ccedb0"></a>4.2<br>
-<div class="outline-text-6" id="text-org6ccedb0">
+<li><a id="org53f1544"></a>4.2<br>
+<div class="outline-text-6" id="text-org53f1544">
 <p>
 1df, 8c, 9d.
 </p>
 </div>
 </li>
-<li><a id="org89b0458"></a>4.3<br>
-<div class="outline-text-6" id="text-org89b0458">
+<li><a id="org490796e"></a>4.3<br>
+<div class="outline-text-6" id="text-org490796e">
 <p>
 3,4.
 </p>
 </div>
 </li>
-<li><a id="orgce85497"></a>4.4<br>
-<div class="outline-text-6" id="text-orgce85497">
+<li><a id="orgb4590fd"></a>4.4<br>
+<div class="outline-text-6" id="text-orgb4590fd">
 <p>
 2ab.
 </p>
@@ -793,10 +802,10 @@ från just dessa avsnitt.
 </li>
 </ul>
 </li>
-<li><a id="orgce38e81"></a>Kap 5<br>
+<li><a id="org8aea6f0"></a>Kap 5<br>
 <ul class="org-ul">
-<li><a id="org290a8f0"></a>5.1<br>
-<div class="outline-text-6" id="text-org290a8f0">
+<li><a id="org34987f8"></a>5.1<br>
+<div class="outline-text-6" id="text-org34987f8">
 <p>
 4ab.
 </p>
@@ -804,26 +813,26 @@ från just dessa avsnitt.
 </li>
 </ul>
 </li>
-<li><a id="org079c6dc"></a>Kap 6<br>
+<li><a id="org44c4796"></a>Kap 6<br>
 <ul class="org-ul">
-<li><a id="org87f09e3"></a>6.1<br>
-<div class="outline-text-6" id="text-org87f09e3">
+<li><a id="org5467c3d"></a>6.1<br>
+<div class="outline-text-6" id="text-org5467c3d">
 <p>
 4,5,6,9,10,14,18,19,22,24,24,28,36,38*,41,48*,52.
 </p>
 </div>
 </li>
 
-<li><a id="orgbc16a8c"></a>6.2<br>
-<div class="outline-text-6" id="text-orgbc16a8c">
+<li><a id="orgcb44edd"></a>6.2<br>
+<div class="outline-text-6" id="text-orgcb44edd">
 <p>
 2,8,12,16ab.
 </p>
 </div>
 </li>
 
-<li><a id="orgffebf1d"></a>6.3<br>
-<div class="outline-text-6" id="text-orgffebf1d">
+<li><a id="orga80d292"></a>6.3<br>
+<div class="outline-text-6" id="text-orga80d292">
 <p>
 1d,6,7,22*
 </p>
@@ -832,31 +841,31 @@ från just dessa avsnitt.
 </ul>
 </li>
 
-<li><a id="orgcfc4d04"></a>Kap 7<br>
+<li><a id="orgdcdc40f"></a>Kap 7<br>
 <ul class="org-ul">
-<li><a id="org614132a"></a>7.1<br>
-<div class="outline-text-6" id="text-org614132a">
+<li><a id="org90dcdab"></a>7.1<br>
+<div class="outline-text-6" id="text-org90dcdab">
 <p>
 2bc,5,8.
 </p>
 </div>
 </li>
-<li><a id="org871658a"></a>7.2<br>
-<div class="outline-text-6" id="text-org871658a">
+<li><a id="org39c711c"></a>7.2<br>
+<div class="outline-text-6" id="text-org39c711c">
 <p>
 1bd,2cd,8,34*,35,38*.
 </p>
 </div>
 </li>
-<li><a id="org122f2e6"></a>7.3<br>
-<div class="outline-text-6" id="text-org122f2e6">
+<li><a id="org2d9e7af"></a>7.3<br>
+<div class="outline-text-6" id="text-org2d9e7af">
 <p>
 3b,4,7,8,10,18,22**,28*,29cd.
 </p>
 </div>
 </li>
-<li><a id="org9ba696a"></a>7.4<br>
-<div class="outline-text-6" id="text-org9ba696a">
+<li><a id="org01dd2e1"></a>7.4<br>
+<div class="outline-text-6" id="text-org01dd2e1">
 <p>
 1bd,2be,14,22,23,24,30,31.
 </p>
@@ -865,47 +874,47 @@ från just dessa avsnitt.
 </ul>
 </li>
 
-<li><a id="orgd9614bf"></a>Kap 9<br>
+<li><a id="org22e6c42"></a>Kap 9<br>
 <ul class="org-ul">
-<li><a id="org477479c"></a>9.1<br>
-<div class="outline-text-6" id="text-org477479c">
+<li><a id="org3171b1b"></a>9.1<br>
+<div class="outline-text-6" id="text-org3171b1b">
 <p>
  1ad, 2cd, 5b, 6df, 8, 10, 20*,
 22*.
 </p>
 </div>
 </li>
-<li><a id="orga68111e"></a>9.2<br>
-<div class="outline-text-6" id="text-orga68111e">
+<li><a id="org9d9f07a"></a>9.2<br>
+<div class="outline-text-6" id="text-org9d9f07a">
 <p>
 1d, 2d, 3e, 6.
 </p>
 </div>
 </li>
-<li><a id="orgf6dd661"></a>9.3<br>
-<div class="outline-text-6" id="text-orgf6dd661">
+<li><a id="orgf0b7847"></a>9.3<br>
+<div class="outline-text-6" id="text-orgf0b7847">
 <p>
 2,3c, 5c,6c, 8b, 10.
 </p>
 </div>
 </li>
-<li><a id="org37dfb2a"></a>9.4<br>
-<div class="outline-text-6" id="text-org37dfb2a">
+<li><a id="org9f8fe1f"></a>9.4<br>
+<div class="outline-text-6" id="text-org9f8fe1f">
 <p>
 1, 2b, 3a,
   4, 9, 10, 19, 20*.
 </p>
 </div>
 </li>
-<li><a id="org29656a1"></a>9.5<br>
-<div class="outline-text-6" id="text-org29656a1">
+<li><a id="org99d1763"></a>9.5<br>
+<div class="outline-text-6" id="text-org99d1763">
 <p>
 2,3,10.
 </p>
 </div>
 </li>
-<li><a id="orgf9dc898"></a>9.6<br>
-<div class="outline-text-6" id="text-orgf9dc898">
+<li><a id="orgfa55cb8"></a>9.6<br>
+<div class="outline-text-6" id="text-orgfa55cb8">
 <p>
 1bcg, 4def, 13*, 14*.
 </p>
@@ -914,31 +923,31 @@ från just dessa avsnitt.
 </ul>
 </li>
 
-<li><a id="org2d75d4e"></a>Kap 11<br>
+<li><a id="org94cf781"></a>Kap 11<br>
 <ul class="org-ul">
-<li><a id="org762f628"></a>11.1<br>
-<div class="outline-text-6" id="text-org762f628">
+<li><a id="org7d092f2"></a>11.1<br>
+<div class="outline-text-6" id="text-org7d092f2">
 <p>
 1d, 4, 25.
 </p>
 </div>
 </li>
-<li><a id="orgd2d41f5"></a>11.2<br>
-<div class="outline-text-6" id="text-orgd2d41f5">
+<li><a id="org88bf99e"></a>11.2<br>
+<div class="outline-text-6" id="text-org88bf99e">
 <p>
 1cd, 2, 4, 5.
 </p>
 </div>
 </li>
-<li><a id="orgc0bf6e6"></a>11.3<br>
-<div class="outline-text-6" id="text-orgc0bf6e6">
+<li><a id="org01d2881"></a>11.3<br>
+<div class="outline-text-6" id="text-org01d2881">
 <p>
 1ef, 5, 6.
 </p>
 </div>
 </li>
-<li><a id="org53fd7ee"></a>11.4<br>
-<div class="outline-text-6" id="text-org53fd7ee">
+<li><a id="orgad3a1ae"></a>11.4<br>
+<div class="outline-text-6" id="text-orgad3a1ae">
 <p>
 1, 2, 5, 6.
 </p>
@@ -947,32 +956,32 @@ från just dessa avsnitt.
 </ul>
 </li>
 
-<li><a id="org4de3188"></a>Kap 12<br>
+<li><a id="org44aa093"></a>Kap 12<br>
 <ul class="org-ul">
-<li><a id="org7b01410"></a>12.2<br>
-<div class="outline-text-6" id="text-org7b01410">
+<li><a id="org936a20d"></a>12.2<br>
+<div class="outline-text-6" id="text-org936a20d">
 <p>
 1bf, 2cd, 3c, 4c.
 </p>
 </div>
 </li>
-<li><a id="org1aa1c33"></a>12.3<br>
-<div class="outline-text-6" id="text-org1aa1c33">
+<li><a id="org30d8efe"></a>12.3<br>
+<div class="outline-text-6" id="text-org30d8efe">
 <p>
 1c, 2a, 6*, 7.
 </p>
 </div>
 </li>
-<li><a id="orgccd3c06"></a>12.4<br>
-<div class="outline-text-6" id="text-orgccd3c06">
+<li><a id="orgc28fd4b"></a>12.4<br>
+<div class="outline-text-6" id="text-orgc28fd4b">
 <p>
 1c, 2c, 3b, 4a,
   5b, 6b, 7b,  8, 10, 17.
 </p>
 </div>
 </li>
-<li><a id="org1a8a715"></a>12.5<br>
-<div class="outline-text-6" id="text-org1a8a715">
+<li><a id="org6fe52f2"></a>12.5<br>
+<div class="outline-text-6" id="text-org6fe52f2">
 <ol class="org-ol">
 <li></li>
 </ol>
@@ -981,32 +990,32 @@ från just dessa avsnitt.
 </ul>
 </li>
 
-<li><a id="org919ec71"></a>Kap 13<br>
+<li><a id="org3f74cbe"></a>Kap 13<br>
 <ul class="org-ul">
-<li><a id="org4beed34"></a>13.1<br>
-<div class="outline-text-6" id="text-org4beed34">
+<li><a id="orgd9fc89a"></a>13.1<br>
+<div class="outline-text-6" id="text-orgd9fc89a">
 <p>
 1, 2, 3, 8, 16.
 </p>
 </div>
 </li>
-<li><a id="org670cfbe"></a>13.2<br>
-<div class="outline-text-6" id="text-org670cfbe">
+<li><a id="org80effe7"></a>13.2<br>
+<div class="outline-text-6" id="text-org80effe7">
 <p>
 3, 4,
   6*, 8, 10, 11*, 20.
 </p>
 </div>
 </li>
-<li><a id="org9de6939"></a>13.3<br>
-<div class="outline-text-6" id="text-org9de6939">
+<li><a id="orgc699f00"></a>13.3<br>
+<div class="outline-text-6" id="text-orgc699f00">
 <p>
 1b, 2gh,3cd, 6, 7, 9c, 10ef.
 </p>
 </div>
 </li>
-<li><a id="org3183550"></a>13.4<br>
-<div class="outline-text-6" id="text-org3183550">
+<li><a id="orgb9e9b7b"></a>13.4<br>
+<div class="outline-text-6" id="text-orgb9e9b7b">
 <p>
 1c,
   2a, 3def, 4ab, 6de, 8*.
@@ -1016,25 +1025,25 @@ från just dessa avsnitt.
 </ul>
 </li>
 
-<li><a id="org63d399d"></a>Kap 14<br>
+<li><a id="org1a1cc94"></a>Kap 14<br>
 <ul class="org-ul">
-<li><a id="org85ae0e8"></a>14.1<br>
-<div class="outline-text-6" id="text-org85ae0e8">
+<li><a id="org8bd881e"></a>14.1<br>
+<div class="outline-text-6" id="text-org8bd881e">
 <p>
 1ac, 12, 13, 17a.
 </p>
 </div>
 </li>
-<li><a id="org3dd76f9"></a>14.2<br>
-<div class="outline-text-6" id="text-org3dd76f9">
+<li><a id="org659103e"></a>14.2<br>
+<div class="outline-text-6" id="text-org659103e">
 <p>
 16ab,
   17bc.
 </p>
 </div>
 </li>
-<li><a id="orgff2bf56"></a>14.3<br>
-<div class="outline-text-6" id="text-orgff2bf56">
+<li><a id="org20cf5b1"></a>14.3<br>
+<div class="outline-text-6" id="text-org20cf5b1">
 <p>
 1bc, 2c
 </p>
@@ -1046,15 +1055,15 @@ från just dessa avsnitt.
 </div>
 </div>
 
-<div id="outline-container-orgf97dd5f" class="outline-3">
-<h3 id="orgf97dd5f">Kort beskrivning av kursinnehållet</h3>
+<div id="outline-container-org33f6268" class="outline-3">
+<h3 id="org33f6268">Kort beskrivning av kursinnehållet</h3>
 </div>
 </section>
 
 
-<section id="outline-container-orgb1afa66" class="outline-2">
-<h2 id="orgb1afa66">Föreläsningar <a id="org0da9d7f"></a></h2>
-<div class="outline-text-2" id="text-orgb1afa66">
+<section id="outline-container-org0e51919" class="outline-2">
+<h2 id="org0e51919">Föreläsningar <a id="org025d360"></a></h2>
+<div class="outline-text-2" id="text-org0e51919">
 <p>
 Jag har föreläst enligt följande föreläsningsanteckningar, med vissa utsvävningar.
 De svenska versionerna är nyare. Några av föreläsningarna tar två tillfällen för att gå igenom.
@@ -1233,9 +1242,9 @@ De svenska versionerna är nyare. Några av föreläsningarna tar två tillfäll
 </section>
 
 
-<section id="outline-container-orgd9a1a3d" class="outline-2">
-<h2 id="orgd9a1a3d">Tentor <a id="org113b7d1"></a></h2>
-<div class="outline-text-2" id="text-orgd9a1a3d">
+<section id="outline-container-orgf5fd67d" class="outline-2">
+<h2 id="orgf5fd67d">Tentor <a id="org64fbaef"></a></h2>
+<div class="outline-text-2" id="text-orgf5fd67d">
 <table>
 
 
@@ -1257,6 +1266,13 @@ De svenska versionerna är nyare. Några av föreläsningarna tar två tillfäll
 </tr>
 </thead>
 <tbody>
+<tr>
+<td class="org-right">2024-06-01</td>
+<td class="org-left">Jan Snellman</td>
+<td class="org-left"><a href="exams/2024/tenta-TATA54-20240601.pdf">TATA5420240601</a></td>
+<td class="org-left"><a href="exams/2024/tenta-TATA54-20240601-losning.pdf">TATA5420240601losn</a></td>
+</tr>
+
 <tr>
 <td class="org-right">2023-08-17</td>
 <td class="org-left">Jan Snellman</td>
@@ -1437,13 +1453,13 @@ De svenska versionerna är nyare. Några av föreläsningarna tar två tillfäll
 </section>
 
 
-<section id="outline-container-orgaa8bfe8" class="outline-2">
-<h2 id="orgaa8bfe8">Datorlaborationer <a id="orgd7ec18a"></a></h2>
-<div class="outline-text-2" id="text-orgaa8bfe8">
+<section id="outline-container-orgac41624" class="outline-2">
+<h2 id="orgac41624">Datorlaborationer <a id="org2d2cfa4"></a></h2>
+<div class="outline-text-2" id="text-orgac41624">
 </div>
-<div id="outline-container-org0e9470f" class="outline-3">
-<h3 id="org0e9470f">SageMath</h3>
-<div class="outline-text-3" id="text-org0e9470f">
+<div id="outline-container-orgd0ccf06" class="outline-3">
+<h3 id="orgd0ccf06">SageMath</h3>
+<div class="outline-text-3" id="text-orgd0ccf06">
 <p>
 Jag kommer att använda datoralgebraprogrammet <a href="https://www.sagemath.org/">SageMath</a> för att beräkna lite större exempel.
 Om ni vill experimentera på egen hand kan ni enkelt <a href="https://doc.sagemath.org/html/en/installation/index.html">installera programmet på er dator</a>,
@@ -1459,9 +1475,9 @@ Ett tredje alternativ, enkelt och flärdfritt, är att mata in sin kod till <a h
 </p>
 </div>
 </div>
-<div id="outline-container-org4e01f4d" class="outline-3">
-<h3 id="org4e01f4d">Kod från vissa föreläsningar</h3>
-<div class="outline-text-3" id="text-org4e01f4d">
+<div id="outline-container-orgd3b0180" class="outline-3">
+<h3 id="orgd3b0180">Kod från vissa föreläsningar</h3>
+<div class="outline-text-3" id="text-orgd3b0180">
 <ul class="org-ul">
 <li><a href="labs/lecture0.html">Föreläsning 0</a></li>
 <li><a href="labs/lecture1.html">Föreläsning 1</a></li>
@@ -1472,21 +1488,21 @@ Ett tredje alternativ, enkelt och flärdfritt, är att mata in sin kod till <a h
 </ul>
 </div>
 </div>
-<div id="outline-container-org771ae33" class="outline-3">
-<h3 id="org771ae33">Laborationer</h3>
-<div class="outline-text-3" id="text-org771ae33">
+<div id="outline-container-org85c34f4" class="outline-3">
+<h3 id="org85c34f4">Laborationer</h3>
+<div class="outline-text-3" id="text-org85c34f4">
 </div>
-<div id="outline-container-orge16b88e" class="outline-4">
-<h4 id="orge16b88e">Hensellyft, Primitiva rötter, Kinesiska restsatsen</h4>
-<div class="outline-text-4" id="text-orge16b88e">
+<div id="outline-container-orga1be7da" class="outline-4">
+<h4 id="orga1be7da">Hensellyft, Primitiva rötter, Kinesiska restsatsen</h4>
+<div class="outline-text-4" id="text-orga1be7da">
 <p>
 Finns att <a href="labs/HenselLyftLabHT2023.html">läsa direkt</a> eller som <a href="labs/HenselLyftLabHT2023.ipynb">Jupyter notebook</a> eller som <a href="labs/HenselLyftLabHT2023web.html">webapp</a>.
 </p>
 </div>
 </div>
-<div id="outline-container-org254ad94" class="outline-4">
-<h4 id="org254ad94">Kedjebråk</h4>
-<div class="outline-text-4" id="text-org254ad94">
+<div id="outline-container-org2528f16" class="outline-4">
+<h4 id="org2528f16">Kedjebråk</h4>
+<div class="outline-text-4" id="text-org2528f16">
 <p>
 Finns att <a href="labs/kedjebraklab.html">läsa direkt</a> eller som <a href="labs/kedjebraklab.ipynb">Jupyter notebook</a> eller som <a href="labs/kedjebraklabweb.html">webapp</a>.
 </p>
@@ -1497,20 +1513,20 @@ Finns att <a href="labs/kedjebraklab.html">läsa direkt</a> eller som <a href="l
 
 
 
-<section id="outline-container-orgcab2c84" class="outline-2">
-<h2 id="orgcab2c84">Tidigare år <a id="org0573e61"></a></h2>
-<div class="outline-text-2" id="text-orgcab2c84">
+<section id="outline-container-org27d49bb" class="outline-2">
+<h2 id="org27d49bb">Tidigare år <a id="orgb17e462"></a></h2>
+<div class="outline-text-2" id="text-org27d49bb">
 </div>
 
 
 
-<div id="outline-container-org5db15ec" class="outline-3">
-<h3 id="org5db15ec">TATA54 Anteckningar från tidigare år</h3>
-<div class="outline-text-3" id="text-org5db15ec">
+<div id="outline-container-orga1fa650" class="outline-3">
+<h3 id="orga1fa650">TATA54 Anteckningar från tidigare år</h3>
+<div class="outline-text-3" id="text-orga1fa650">
 </div>
-<div id="outline-container-org2e74361" class="outline-4">
-<h4 id="org2e74361">2023</h4>
-<div class="outline-text-4" id="text-org2e74361">
+<div id="outline-container-orgd4aaf8a" class="outline-4">
+<h4 id="orgd4aaf8a">2023</h4>
+<div class="outline-text-4" id="text-orgd4aaf8a">
 <ul class="org-ul">
 <li>2023-12-21: Gjorde klart <a href="index.html">denna nya kurshemsida</a>.</li>
 <li>2023-06-05: Jag har rättat tentan; en
@@ -1564,9 +1580,9 @@ tryckfel (skall vara w(d)). 7.2.38 är komplicerad och kan skippas.</li>
 </div>
 
 
-<div id="outline-container-org39f254e" class="outline-4">
-<h4 id="org39f254e">2021</h4>
-<div class="outline-text-4" id="text-org39f254e">
+<div id="outline-container-orgc39991d" class="outline-4">
+<h4 id="orgc39991d">2021</h4>
+<div class="outline-text-4" id="text-orgc39991d">
 <ul class="org-ul">
 <li>2021-20-26: Alla klarade omtentan, trots att uppgift 5 kanske var
 oklar, jag menade periodLÄNGD för decimalutvecklingen, den kan
@@ -1614,9 +1630,9 @@ någon inbjudan, så mejla mig.</li>
 </div>
 </div>
 
-<div id="outline-container-orgab915cd" class="outline-4">
-<h4 id="orgab915cd">2020</h4>
-<div class="outline-text-4" id="text-orgab915cd">
+<div id="outline-container-org6bff760" class="outline-4">
+<h4 id="org6bff760">2020</h4>
+<div class="outline-text-4" id="text-org6bff760">
 <ul class="org-ul">
 <li><p>
 2020-12-12: Kursen kommer att ges VT2021, med start den 19e januari.
@@ -1669,9 +1685,9 @@ someone else (perhaps
 </div>
 </div>
 
-<div id="outline-container-org51934a3" class="outline-4">
-<h4 id="org51934a3">2019</h4>
-<div class="outline-text-4" id="text-org51934a3">
+<div id="outline-container-org85cd779" class="outline-4">
+<h4 id="org85cd779">2019</h4>
+<div class="outline-text-4" id="text-org85cd779">
 <ul class="org-ul">
 <li>2019-11-01: The course will not be given spring 2020.</li>
 
@@ -1686,9 +1702,9 @@ available.</li>
 </div>
 </div>
 
-<div id="outline-container-org51909e4" class="outline-4">
-<h4 id="org51909e4">2018</h4>
-<div class="outline-text-4" id="text-org51909e4">
+<div id="outline-container-org21f5089" class="outline-4">
+<h4 id="org21f5089">2018</h4>
+<div class="outline-text-4" id="text-org21f5089">
 <ul class="org-ul">
 <li>2018-06-08: <a href="exams/2018/tentaTATA5420180607soln.pdf">Solutions</a> to
 <a href="exams/2018/tenta20180607.pdf">the exam on June 7</a> are now
@@ -1701,9 +1717,9 @@ available.</li>
 </div>
 </div>
 
-<div id="outline-container-org50057cb" class="outline-4">
-<h4 id="org50057cb">2017</h4>
-<div class="outline-text-4" id="text-org50057cb">
+<div id="outline-container-org7ce4987" class="outline-4">
+<h4 id="org7ce4987">2017</h4>
+<div class="outline-text-4" id="text-org7ce4987">
 <ul class="org-ul">
 <li>2017-08-28: <a href="exams/2017/tentaTATA54170826soln.pdf">Solutions</a> to
 <a href="exams/2017/tenta170826.pdf">the exam on Saturday 26</a> are now
@@ -1726,7 +1742,7 @@ Another text is <a href="https://wstein.org/ent/">Elementary Number Theory</a> a
 </ul>
 
 
-<figure id="org2c3b0e5">
+<figure id="orgd0c0b37">
 <img src="img/sieveE.jpg" alt="sieveE.jpg">
 
 </figure>
@@ -1736,9 +1752,9 @@ Another text is <a href="https://wstein.org/ent/">Elementary Number Theory</a> a
 </section>
 
 
-<section id="outline-container-org27e935f" class="outline-2">
-<h2 id="org27e935f">Index</h2>
-<div class="outline-text-2" id="text-org27e935f">
+<section id="outline-container-orga44ea53" class="outline-2">
+<h2 id="orga44ea53">Index</h2>
+<div class="outline-text-2" id="text-orga44ea53">
 <p>
 <a href="sitemap.html">Samtliga nåbara filer</a>
 </p>
@@ -1747,7 +1763,7 @@ Another text is <a href="https://wstein.org/ent/">Elementary Number Theory</a> a
 </main>
 <footer id="postamble" class="status">
 <p class="author">F&ouml;rfattare: Jan Snellman Jan Snellman</p>
-<p class="date">Created: 2024-05-18</p>
+<p class="date">Created: 2024-06-01</p>
 <p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
 </footer>
 </body>
diff --git a/public/sitemap.html b/public/sitemap.html
index 9ff29f5..2f164d9 100644
--- a/public/sitemap.html
+++ b/public/sitemap.html
@@ -1,7 +1,7 @@
 <!DOCTYPE html>
 <html lang="en">
 <head>
-<!-- 2024-05-18 -->
+<!-- 2024-06-01 -->
 <meta charset="utf-8" />
 <meta name="viewport" content="width=device-width, initial-scale=1" />
 <title>Kurshemsida</title>
@@ -208,8 +208,6 @@
 </header><ul class="org-ul">
 <li><a href="newlectures/newlecture.html">Föreläsningar i Talteori</a></li>
 <li><a href="newlectures/new-lect-0.html">Talteori översiktsföreläsning</a></li>
-<li><a href="lectures/Henselfaktorisering.html">Henselfaktorisering</a></li>
-<li><a href="senaste-nytt.html">senaste-nytt</a></li>
 <li><a href="labs/lecture5.html">lecture5</a></li>
 <li><a href="labs/lecture4.html">lecture4</a></li>
 <li><a href="labs/lecture3.html">lecture3</a></li>
@@ -217,13 +215,15 @@
 <li><a href="labs/lecture1.html">lecture1</a></li>
 <li><a href="labs/lecture0.html">lecture0</a></li>
 <li><a href="index.html">TATA54 Talteori</a></li>
+<li><a href="senaste-nytt.html">senaste-nytt</a></li>
 <li><a href="labs/kedjebraklab.html">Sagemath-övningar på kedjebråk</a></li>
 <li><a href="labs/HenselLyftLabHT2023.html">SageMath-övningar på Hensellyft, primitiva rötter, och KRS</a></li>
+<li><a href="lectures/Henselfaktorisering.html">Henselfaktorisering</a></li>
 </ul>
 </main>
 <footer id="postamble" class="status">
 <p class="author">Author: Jan Snellman</p>
-<p class="date">Created: 2024-05-18</p>
+<p class="date">Created: 2024-06-01</p>
 <p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
 </footer>
 </body>
-- 
GitLab