LMFDB - Database - gps_transitive_portraits (pictures for Galois group pages)

Formats: - HTML - YAML - JSON - 2026-04-29T19:16:30.276379
Query: /api/gps_transitive_portraits/?_offset=0
Column	Type
label	text
portrait	text
{'id': 30, 'label': '10T38', 'portrait': '<svg width=200 height=200\n viewBox="0.00 0.00 307.59 244.92" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">\n<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 240.92)">\n<title>10T38</title>\n<polygon fill="white" stroke="transparent" points="-4,4 -4,-240.92 303.59,-240.92 303.59,4 -4,4"/>\n<!-- 1 -->\n<g id="node1" class="node">\n<title>1</title>\n<ellipse fill="black" stroke="black" cx="12.84" cy="-30.23" rx="1.8" ry="1.8"/>\n</g>\n<!-- 3 -->\n<g id="node3" class="node">\n<title>3</title>\n<ellipse fill="black" stroke="black" cx="88.07" cy="-1.8" rx="1.8" ry="1.8"/>\n</g>\n<!-- 1&#45;&gt;3 -->\n<g id="edge4" class="edge">\n<title>1&#45;&gt;3</title>\n<path fill="none" stroke="red" d="M14.31,-28.89C41.38,-3.97 44.74,-1.38 75.98,-1.63"/>\n<polygon fill="red" stroke="red" points="76.05,-5.13 86.09,-1.77 76.14,1.87 76.05,-5.13"/>\n</g>\n<!-- 2 -->\n<g id="node2" class="node">\n<title>2</title>\n<ellipse fill="black" stroke="black" cx="160.05" cy="-175.02" rx="1.8" ry="1.8"/>\n</g>\n<!-- 4 -->\n<g id="node4" class="node">\n<title>4</title>\n<ellipse fill="black" stroke="black" cx="210.77" cy="-235.12" rx="1.8" ry="1.8"/>\n</g>\n<!-- 2&#45;&gt;4 -->\n<g id="edge1" class="edge">\n<title>2&#45;&gt;4</title>\n<path fill="none" stroke="blue" d="M163.18,-186.13C170.85,-199.29 188.51,-220.23 200.23,-230.07"/>\n<polygon fill="blue" stroke="blue" points="166.38,-184.7 159.41,-176.72 159.88,-187.3 166.38,-184.7"/>\n<polygon fill="blue" stroke="blue" points="198.53,-233.14 208.87,-235.45 202.23,-227.19 198.53,-233.14"/>\n</g>\n<!-- 2&#45;&gt;4 -->\n<g id="edge9" class="edge">\n<title>2&#45;&gt;4</title>\n<path fill="none" stroke="red" d="M161.83,-174.68C170.3,-176.07 197.58,-206.74 207.64,-224.01"/>\n<polygon fill="red" stroke="red" points="204.41,-225.35 211.41,-233.3 210.89,-222.72 204.41,-225.35"/>\n</g>\n<!-- 7 -->\n<g id="node7" class="node">\n<title>7</title>\n<ellipse fill="black" stroke="black" cx="94.05" cy="-132.18" rx="1.8" ry="1.8"/>\n</g>\n<!-- 2&#45;&gt;7 -->\n<g id="edge14" class="edge">\n<title>2&#45;&gt;7</title>\n<path fill="none" stroke="lime" d="M148.28,-172.06C133.13,-167.86 127.3,-163.39 103.11,-140.71"/>\n<polygon fill="lime" stroke="lime" points="147.6,-175.5 158.15,-174.56 149.32,-168.72 147.6,-175.5"/>\n<polygon fill="lime" stroke="lime" points="105.46,-138.12 95.78,-133.81 100.67,-143.22 105.46,-138.12"/>\n</g>\n<!-- 5 -->\n<g id="node5" class="node">\n<title>5</title>\n<ellipse fill="black" stroke="black" cx="140.31" cy="-60.71" rx="1.8" ry="1.8"/>\n</g>\n<!-- 3&#45;&gt;5 -->\n<g id="edge5" class="edge">\n<title>3&#45;&gt;5</title>\n<path fill="none" stroke="red" d="M89.84,-2.7C122.41,-19.25 126.09,-21.52 136.27,-49.4"/>\n<polygon fill="red" stroke="red" points="133.01,-50.68 139.68,-58.91 139.6,-48.32 133.01,-50.68"/>\n</g>\n<!-- 6 -->\n<g id="node6" class="node">\n<title>6</title>\n<ellipse fill="black" stroke="black" cx="286.23" cy="-207.66" rx="1.8" ry="1.8"/>\n</g>\n<!-- 4&#45;&gt;6 -->\n<g id="edge10" class="edge">\n<title>4&#45;&gt;6</title>\n<path fill="none" stroke="red" d="M212.78,-235.18C249.87,-236.28 254.13,-236.04 277.3,-215.62"/>\n<polygon fill="red" stroke="red" points="279.63,-218.24 284.77,-208.97 274.98,-213.01 279.63,-218.24"/>\n</g>\n<!-- 5&#45;&gt;7 -->\n<g id="edge6" class="edge">\n<title>5&#45;&gt;7</title>\n<path fill="none" stroke="red" d="M139.96,-62.52C132.4,-101.25 131.23,-105.42 104.12,-125"/>\n<polygon fill="red" stroke="red" points="101.86,-122.31 95.76,-130.97 105.93,-128.01 101.86,-122.31"/>\n</g>\n<!-- 10 -->\n<g id="node10" class="node">\n<title>10</title>\n<ellipse fill="black" stroke="black" cx="206.49" cy="-103.66" rx="1.8" ry="1.8"/>\n</g>\n<!-- 5&#45;&gt;10 -->\n<g id="edge2" class="edge">\n<title>5&#45;&gt;10</title>\n<path fill="none" stroke="blue" d="M146.77,-70.65C158.05,-81.05 180.95,-95.9 194.97,-101.89"/>\n<polygon fill="blue" stroke="blue" points="149.2,-68.09 140.19,-62.52 143.76,-72.49 149.2,-68.09"/>\n<polygon fill="blue" stroke="blue" points="194.19,-105.31 204.76,-104.52 196.01,-98.55 194.19,-105.31"/>\n</g>\n<!-- 5&#45;&gt;10 -->\n<g id="edge15" class="edge">\n<title>5&#45;&gt;10</title>\n<path fill="none" stroke="lime" d="M151.75,-62.45C165.81,-68.43 188.86,-83.39 200.13,-93.82"/>\n<polygon fill="lime" stroke="lime" points="152.48,-59.02 141.92,-59.86 150.7,-65.79 152.48,-59.02"/>\n<polygon fill="lime" stroke="lime" points="197.54,-96.18 206.57,-101.73 202.97,-91.77 197.54,-96.18"/>\n</g>\n<!-- 8 -->\n<g id="node8" class="node">\n<title>8</title>\n<ellipse fill="black" stroke="black" cx="281.56" cy="-127.38" rx="1.8" ry="1.8"/>\n</g>\n<!-- 6&#45;&gt;8 -->\n<g id="edge11" class="edge">\n<title>6&#45;&gt;8</title>\n<path fill="none" stroke="red" d="M286.86,-205.78C298.6,-170.9 299.59,-166.79 286.64,-138.35"/>\n<polygon fill="red" stroke="red" points="289.77,-136.78 282.4,-129.17 283.42,-139.72 289.77,-136.78"/>\n</g>\n<!-- 9 -->\n<g id="node9" class="node">\n<title>9</title>\n<ellipse fill="black" stroke="black" cx="18.5" cy="-110.33" rx="1.8" ry="1.8"/>\n</g>\n<!-- 7&#45;&gt;9 -->\n<g id="edge3" class="edge">\n<title>7&#45;&gt;9</title>\n<path fill="none" stroke="blue" d="M85.28,-124.68C71.6,-117.98 45.28,-110.36 30.07,-108.68"/>\n<polygon fill="blue" stroke="blue" points="83.41,-127.64 93.64,-130.42 87.38,-121.87 83.41,-127.64"/>\n<polygon fill="blue" stroke="blue" points="29.78,-105.19 19.9,-109 30.01,-112.19 29.78,-105.19"/>\n</g>\n<!-- 7&#45;&gt;9 -->\n<g id="edge7" class="edge">\n<title>7&#45;&gt;9</title>\n<path fill="none" stroke="red" d="M92.76,-133.46C85.01,-136.97 45.89,-126.79 27.73,-118.06"/>\n<polygon fill="red" stroke="red" points="29.43,-114.98 19.14,-112.42 25.58,-120.84 29.43,-114.98"/>\n</g>\n<!-- 8&#45;&gt;10 -->\n<g id="edge12" class="edge">\n<title>8&#45;&gt;10</title>\n<path fill="none" stroke="red" d="M280.02,-126.13C251.65,-103.13 248.07,-100.68 218.46,-102.75"/>\n<polygon fill="red" stroke="red" points="218.09,-99.26 208.38,-103.51 218.62,-106.24 218.09,-99.26"/>\n</g>\n<!-- 9&#45;&gt;1 -->\n<g id="edge8" class="edge">\n<title>9&#45;&gt;1</title>\n<path fill="none" stroke="red" d="M17.63,-108.52C1.51,-75.09 0,-71.11 9.21,-41.63"/>\n<polygon fill="red" stroke="red" points="12.54,-42.69 12.24,-32.1 5.87,-40.56 12.54,-42.69"/>\n</g>\n<!-- 10&#45;&gt;2 -->\n<g id="edge13" class="edge">\n<title>10&#45;&gt;2</title>\n<path fill="none" stroke="red" d="M204.76,-104.87C172.6,-127.46 169.32,-130.24 162.46,-163.11"/>\n<polygon fill="red" stroke="red" points="158.97,-162.73 160.41,-173.22 165.83,-164.12 158.97,-162.73"/>\n</g>\n</g>\n</svg>\n'}
Overview	Random
Universe	Knowledge
Classical	Maass
Hilbert	Bianchi
Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps
Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.
