Properties

Level $2$
Weight $0$
Character 2.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 24.7898614149 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+1.885119834\) \(a_{4}=+0.500000000\) \(a_{5}=+0.489551172\)
\(a_{6}=+1.332981018\) \(a_{7}=-0.777087572\) \(a_{8}=+0.353553391\) \(a_{9}=+2.553676789\) \(a_{10}=+0.346164953\)
\(a_{11}=+0.202838342\) \(a_{12}=+0.942559917\) \(a_{13}=+0.937079852\) \(a_{14}=-0.549483892\) \(a_{15}=+0.922862623\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.167681418\) \(a_{18}=+1.805722175\) \(a_{19}=-1.170512951\) \(a_{20}=+0.244775586\)
\(a_{21}=-1.464903196\) \(a_{22}=+0.143428367\) \(a_{23}=-0.246333453\) \(a_{24}=+0.666490509\) \(a_{25}=-0.760339650\)
\(a_{26}=+0.662615518\) \(a_{27}=+2.928866931\) \(a_{28}=-0.388543786\) \(a_{29}=+0.065825727\) \(a_{30}=+0.652562419\)
\(a_{31}=+1.542397022\) \(a_{32}=+0.176776695\) \(a_{33}=+0.382374581\) \(a_{34}=+0.118568668\) \(a_{35}=-0.380424131\)
\(a_{36}=+1.276838395\) \(a_{37}=-0.607376226\) \(a_{38}=-0.827677645\) \(a_{39}=+1.766507815\) \(a_{40}=+0.173082477\)
\(a_{41}=-0.465093926\) \(a_{42}=-1.035842983\) \(a_{43}=+0.171269601\) \(a_{44}=+0.101419171\) \(a_{45}=+1.250155464\)
\(a_{46}=-0.174184055\) \(a_{47}=-0.716065893\) \(a_{48}=+0.471279959\) \(a_{49}=-0.396134905\) \(a_{50}=-0.537641323\)
\(a_{51}=+0.316099567\) \(a_{52}=+0.468539926\) \(a_{53}=-1.176960576\) \(a_{54}=+2.071021668\) \(a_{55}=+0.099299748\)
\(a_{56}=-0.274741946\) \(a_{57}=-2.206557180\) \(a_{58}=+0.046545818\) \(a_{59}=+0.986892499\) \(a_{60}=+0.461431312\)
\(a_{61}=+0.183841546\) \(a_{62}=+1.090639393\) \(a_{63}=-1.984430497\) \(a_{64}=+0.125000000\) \(a_{65}=+0.458748539\)
\(a_{66}=+0.270379659\) \(a_{67}=-0.350994450\) \(a_{68}=+0.083840709\) \(a_{69}=-0.464368078\) \(a_{70}=-0.269000483\)
\(a_{71}=-0.131485011\) \(a_{72}=+0.902861087\) \(a_{73}=+1.664653553\) \(a_{74}=-0.429479848\) \(a_{75}=-1.433331356\)
\(a_{76}=-0.585256475\) \(a_{77}=-0.157623154\) \(a_{78}=+1.249109655\) \(a_{79}=-1.937894553\) \(a_{80}=+0.122387793\)
\(a_{81}=+2.967588355\) \(a_{82}=-0.328871069\) \(a_{83}=-0.641057326\) \(a_{84}=-0.732451598\) \(a_{85}=+0.082088635\)
\(a_{86}=+0.121105896\) \(a_{87}=+0.124089384\) \(a_{88}=+0.071714183\) \(a_{89}=-1.451545535\) \(a_{90}=+0.883993406\)
\(a_{91}=-0.728193107\) \(a_{92}=-0.123166726\) \(a_{93}=+2.907603218\) \(a_{94}=-0.506335049\) \(a_{95}=-0.573025986\)
\(a_{96}=+0.333245255\) \(a_{97}=-1.509234248\) \(a_{98}=-0.280109677\) \(a_{99}=+0.517983565\) \(a_{100}=-0.380169825\)

Showing 100 of 1228 available coefficients

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