Properties

Level $5$
Weight $0$
Character 5.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 12.0183185174 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.011737499\) \(a_{3}=-1.739234055\) \(a_{4}=+0.023612767\) \(a_{5}=+0.447213595\)
\(a_{6}=+1.759648313\) \(a_{7}=-0.434238119\) \(a_{8}=+0.987847577\) \(a_{9}=+2.024935100\) \(a_{10}=-0.452462765\)
\(a_{11}=+1.060669791\) \(a_{12}=-0.041068128\) \(a_{13}=-1.344045552\) \(a_{14}=+0.439334989\) \(a_{15}=-0.777809115\)
\(a_{16}=-1.023055204\) \(a_{17}=+0.383856148\) \(a_{18}=-2.048702773\) \(a_{19}=-0.029770856\) \(a_{20}=+0.010559952\)
\(a_{21}=+0.755241722\) \(a_{22}=-1.073119398\) \(a_{23}=+0.917855834\) \(a_{24}=-1.718098148\) \(a_{25}=+0.199951172\)
\(a_{26}=+1.359821285\) \(a_{27}=-1.782602030\) \(a_{28}=-0.010253563\) \(a_{29}=+0.007634175\) \(a_{30}=+0.786938649\)
\(a_{31}=+1.556961692\) \(a_{32}=+0.047215736\) \(a_{33}=-1.844753022\) \(a_{34}=-0.388361659\) \(a_{35}=-0.194197191\)
\(a_{36}=+0.047814320\) \(a_{37}=-0.638178343\) \(a_{38}=+0.030120291\) \(a_{39}=+2.337609796\) \(a_{40}=+0.441778867\)
\(a_{41}=+0.103581888\) \(a_{42}=-0.764106374\) \(a_{43}=-1.686884119\) \(a_{44}=+0.025045348\) \(a_{45}=+0.905578506\)
\(a_{46}=-0.928629166\) \(a_{47}=+0.137559956\) \(a_{48}=+1.779332451\) \(a_{49}=-0.811437256\) \(a_{50}=-0.202347500\)
\(a_{51}=-0.667615685\) \(a_{52}=-0.031736634\) \(a_{53}=-0.555918202\) \(a_{54}=+1.803525320\) \(a_{55}=+0.474345950\)
\(a_{56}=-0.428961075\) \(a_{57}=+0.051778484\) \(a_{58}=-0.007723778\) \(a_{59}=-0.383896329\) \(a_{60}=-0.018366231\)
\(a_{61}=+0.141546359\) \(a_{62}=-1.575236525\) \(a_{63}=-0.879304056\) \(a_{64}=+0.975285272\) \(a_{65}=-0.601075319\)
\(a_{66}=+1.866405758\) \(a_{67}=+1.124395153\) \(a_{68}=+0.009063906\) \(a_{69}=-1.596366124\) \(a_{70}=+0.196476580\)
\(a_{71}=-0.228069914\) \(a_{72}=+2.000327232\) \(a_{73}=-1.352656107\) \(a_{74}=+0.645668960\) \(a_{75}=-0.347846811\)
\(a_{76}=-0.000702972\) \(a_{77}=-0.460583255\) \(a_{78}=-2.365047488\) \(a_{79}=+0.989208995\) \(a_{80}=-0.457524196\)
\(a_{81}=+1.075427058\) \(a_{82}=-0.104797680\) \(a_{83}=+0.017244422\) \(a_{84}=+0.017833347\) \(a_{85}=+0.171665688\)
\(a_{86}=+1.706683920\) \(a_{87}=-0.013277616\) \(a_{88}=+1.047780084\) \(a_{89}=-0.702729236\) \(a_{90}=-0.916207733\)
\(a_{91}=+0.583635814\) \(a_{92}=+0.021673114\) \(a_{93}=-2.707920798\) \(a_{94}=-0.139174566\) \(a_{95}=-0.013313927\)
\(a_{96}=-0.082119221\) \(a_{97}=+0.079930682\) \(a_{98}=+0.820961502\) \(a_{99}=+2.147787488\) \(a_{100}=+0.004722549\)

Showing 100 of 5000 available coefficients

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