Properties

Level $2$
Weight $0$
Character 2.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 14.6850159506 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+1.777574004\) \(a_{4}=+0.500000000\) \(a_{5}=-0.078144672\)
\(a_{6}=-1.256934633\) \(a_{7}=+0.168243279\) \(a_{8}=-0.353553391\) \(a_{9}=+2.159769341\) \(a_{10}=+0.055256628\)
\(a_{11}=+0.601914058\) \(a_{12}=+0.888787002\) \(a_{13}=+0.115441214\) \(a_{14}=-0.118965963\) \(a_{15}=-0.138907938\)
\(a_{16}=+0.250000000\) \(a_{17}=+1.011215901\) \(a_{18}=-1.527187547\) \(a_{19}=+0.568208840\) \(a_{20}=-0.039072336\)
\(a_{21}=+0.299064879\) \(a_{22}=-0.425617512\) \(a_{23}=+0.975616071\) \(a_{24}=-0.628467316\) \(a_{25}=-0.993893410\)
\(a_{26}=-0.081629265\) \(a_{27}=+2.061575832\) \(a_{28}=+0.084121640\) \(a_{29}=-1.773807994\) \(a_{30}=+0.098222745\)
\(a_{31}=+0.260272145\) \(a_{32}=-0.176776695\) \(a_{33}=+1.069946783\) \(a_{34}=-0.715037621\) \(a_{35}=-0.013147316\)
\(a_{36}=+1.079884671\) \(a_{37}=-1.277960892\) \(a_{38}=-0.401784324\) \(a_{39}=+0.205205301\) \(a_{40}=+0.027628314\)
\(a_{41}=+1.107141133\) \(a_{42}=-0.211470804\) \(a_{43}=-0.412893582\) \(a_{44}=+0.300957029\) \(a_{45}=-0.168774468\)
\(a_{46}=-0.689864740\) \(a_{47}=+0.034937096\) \(a_{48}=+0.444393501\) \(a_{49}=-0.971694199\) \(a_{50}=+0.702788770\)
\(a_{51}=+1.797511098\) \(a_{52}=+0.057720608\) \(a_{53}=-1.127744171\) \(a_{54}=-1.457754251\) \(a_{55}=-0.047036377\)
\(a_{56}=-0.059482980\) \(a_{57}=+1.010033262\) \(a_{58}=+1.254271666\) \(a_{59}=-0.880801447\) \(a_{60}=-0.069453969\)
\(a_{61}=-0.085165538\) \(a_{62}=-0.184040198\) \(a_{63}=+0.363366676\) \(a_{64}=+0.125000000\) \(a_{65}=-0.009021116\)
\(a_{66}=-0.756566625\) \(a_{67}=-1.283743639\) \(a_{68}=+0.505607950\) \(a_{69}=+1.734229766\) \(a_{70}=+0.009296556\)
\(a_{71}=+0.436077516\) \(a_{72}=-0.763593774\) \(a_{73}=-0.129295332\) \(a_{74}=+0.903654813\) \(a_{75}=-1.766719089\)
\(a_{76}=+0.284104420\) \(a_{77}=+0.101267995\) \(a_{78}=-0.145102060\) \(a_{79}=-0.323958988\) \(a_{80}=-0.019536168\)
\(a_{81}=+1.504834267\) \(a_{82}=-0.782867003\) \(a_{83}=+1.121613385\) \(a_{84}=+0.149532440\) \(a_{85}=-0.079021135\)
\(a_{86}=+0.291959851\) \(a_{87}=-3.153074979\) \(a_{88}=-0.212808756\) \(a_{89}=+1.534224031\) \(a_{90}=+0.119341570\)
\(a_{91}=+0.019422209\) \(a_{92}=+0.487808036\) \(a_{93}=+0.462652998\) \(a_{94}=-0.024704257\) \(a_{95}=-0.044402493\)
\(a_{96}=-0.314233660\) \(a_{97}=-1.141194670\) \(a_{98}=+0.687091561\) \(a_{99}=+1.299995528\) \(a_{100}=-0.496946698\)

Showing 100 of 5000 available coefficients

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