Properties

Level $94$
Weight $0$
Character 94.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 94 = 2 \cdot 47 \)
Weight: \( 0 \)
Character: 94.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 3.14991755843 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+0.847899244\) \(a_{4}=+0.500000000\) \(a_{5}=+0.231248515\)
\(a_{6}=-0.599555305\) \(a_{7}=+0.383562729\) \(a_{8}=-0.353553391\) \(a_{9}=-0.281066883\) \(a_{10}=-0.163517393\)
\(a_{11}=-1.278136644\) \(a_{12}=+0.423949622\) \(a_{13}=-1.482497120\) \(a_{14}=-0.271219807\) \(a_{15}=+0.196075427\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.700501200\) \(a_{18}=+0.198744299\) \(a_{19}=-0.123494841\) \(a_{20}=+0.115624258\)
\(a_{21}=+0.325222575\) \(a_{22}=+0.903779088\) \(a_{23}=-0.360096793\) \(a_{24}=-0.299777653\) \(a_{25}=-0.946524104\)
\(a_{26}=+1.048283766\) \(a_{27}=-1.086215627\) \(a_{28}=+0.191781364\) \(a_{29}=-0.511685515\) \(a_{30}=-0.138646264\)
\(a_{31}=-0.149654190\) \(a_{32}=-0.176776695\) \(a_{33}=-1.083731138\) \(a_{34}=-0.495329149\) \(a_{35}=+0.088698271\)
\(a_{36}=-0.140533441\) \(a_{37}=-0.425600297\) \(a_{38}=+0.087324039\) \(a_{39}=-1.257008195\) \(a_{40}=-0.081758697\)
\(a_{41}=-0.462211654\) \(a_{42}=-0.229967088\) \(a_{43}=+1.455725078\) \(a_{44}=-0.639068322\) \(a_{45}=-0.064996280\)
\(a_{46}=+0.254626884\) \(a_{47}=+0.145864991\) \(a_{48}=+0.211974811\) \(a_{49}=-0.852879630\) \(a_{50}=+0.669293612\)
\(a_{51}=+0.593954490\) \(a_{52}=-0.741248560\) \(a_{53}=-0.607305544\) \(a_{54}=+0.768070435\) \(a_{55}=-0.295566997\)
\(a_{56}=-0.135609903\) \(a_{57}=-0.104711303\) \(a_{58}=+0.361816297\) \(a_{59}=+1.146596191\) \(a_{60}=+0.098037714\)
\(a_{61}=+1.505691807\) \(a_{62}=+0.105821493\) \(a_{63}=-0.107806854\) \(a_{64}=+0.125000000\) \(a_{65}=-0.342825165\)
\(a_{66}=+0.766313637\) \(a_{67}=-1.176649417\) \(a_{68}=+0.350250600\) \(a_{69}=-0.305325781\) \(a_{70}=-0.062719149\)
\(a_{71}=+1.629761579\) \(a_{72}=+0.099372149\) \(a_{73}=-1.242860371\) \(a_{74}=+0.300944856\) \(a_{75}=-0.802556844\)
\(a_{76}=-0.061747420\) \(a_{77}=-0.490245524\) \(a_{78}=+0.888839019\) \(a_{79}=-0.104957401\) \(a_{80}=+0.057812129\)
\(a_{81}=-0.639933994\) \(a_{82}=+0.326832995\) \(a_{83}=+0.122417321\) \(a_{84}=+0.162611288\) \(a_{85}=+0.161991231\)
\(a_{86}=-1.029353074\) \(a_{87}=-0.433858445\) \(a_{88}=+0.451889544\) \(a_{89}=-0.380427061\) \(a_{90}=+0.045959311\)
\(a_{91}=-0.568631053\) \(a_{92}=-0.180048397\) \(a_{93}=-0.126891113\) \(a_{94}=-0.103142125\) \(a_{95}=-0.028558033\)
\(a_{96}=-0.149888826\) \(a_{97}=+0.113475789\) \(a_{98}=+0.603076970\) \(a_{99}=+0.359242026\) \(a_{100}=-0.473262052\)

Showing 100 of 396 available coefficients

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