Properties

Level $1$
Weight $0$
Character 1.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 1 \)
Weight: \( 0 \)
Character: 1.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 26.446996418 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.637457896\) \(a_{3}=-1.358606663\) \(a_{4}=-0.593647431\) \(a_{5}=+1.382686729\)
\(a_{6}=+0.866054545\) \(a_{7}=-0.008785750\) \(a_{8}=+1.015883138\) \(a_{9}=+0.845812064\) \(a_{10}=-0.881404573\)
\(a_{11}=+0.319307543\) \(a_{12}=+0.806533355\) \(a_{13}=+0.395459364\) \(a_{14}=+0.005600546\) \(a_{15}=-1.878527404\)
\(a_{16}=-0.053935297\) \(a_{17}=-1.776257106\) \(a_{18}=-0.539169579\) \(a_{19}=+0.092671536\) \(a_{20}=-0.820828425\)
\(a_{21}=+0.011936379\) \(a_{22}=-0.203545115\) \(a_{23}=+0.789997759\) \(a_{24}=-1.380185600\) \(a_{25}=+0.911822591\)
\(a_{26}=-0.252088694\) \(a_{27}=+0.209480757\) \(a_{28}=+0.005215638\) \(a_{29}=-1.033003976\) \(a_{30}=+1.197482126\)
\(a_{31}=+0.318695421\) \(a_{32}=-0.981501657\) \(a_{33}=-0.433813356\) \(a_{34}=+1.132289117\) \(a_{35}=-0.012147940\)
\(a_{36}=-0.502114159\) \(a_{37}=+0.091956437\) \(a_{38}=-0.059074202\) \(a_{39}=-0.537273726\) \(a_{40}=+1.404648134\)
\(a_{41}=-0.684745745\) \(a_{42}=-0.007608939\) \(a_{43}=-0.480174536\) \(a_{44}=-0.189556103\) \(a_{45}=+1.169493116\)
\(a_{46}=-0.503590309\) \(a_{47}=+0.172958472\) \(a_{48}=+0.073276854\) \(a_{49}=-0.999922811\) \(a_{50}=-0.581248511\)
\(a_{51}=+2.413234738\) \(a_{52}=-0.234763435\) \(a_{53}=-1.299914972\) \(a_{54}=-0.133535163\) \(a_{55}=+0.441502303\)
\(a_{56}=-0.008925296\) \(a_{57}=-0.125904166\) \(a_{58}=+0.658496541\) \(a_{59}=-0.624327663\) \(a_{60}=+1.115182966\)
\(a_{61}=-1.339684640\) \(a_{62}=-0.203154911\) \(a_{63}=-0.007431094\) \(a_{64}=+0.679601278\) \(a_{65}=+0.546796414\)
\(a_{66}=+0.276537749\) \(a_{67}=-1.537699892\) \(a_{68}=+1.054470467\) \(a_{69}=-1.073296219\) \(a_{70}=+0.007743800\)
\(a_{71}=+0.367824671\) \(a_{72}=+0.859246214\) \(a_{73}=+0.183753701\) \(a_{74}=-0.058618357\) \(a_{75}=-1.238808248\)
\(a_{76}=-0.055014219\) \(a_{77}=-0.002805356\) \(a_{78}=+0.342489379\) \(a_{79}=+0.912072670\) \(a_{80}=-0.074575619\)
\(a_{81}=-1.130414016\) \(a_{82}=+0.436496582\) \(a_{83}=+1.005099994\) \(a_{84}=-0.007086001\) \(a_{85}=-2.456007128\)
\(a_{86}=+0.306091049\) \(a_{87}=+1.403446084\) \(a_{88}=+0.324379149\) \(a_{89}=+0.561183995\) \(a_{90}=-0.745502621\)
\(a_{91}=-0.003474407\) \(a_{92}=-0.468980140\) \(a_{93}=-0.432981723\) \(a_{94}=-0.110253744\) \(a_{95}=+0.128135702\)
\(a_{96}=+1.333474691\) \(a_{97}=-0.833512479\) \(a_{98}=+0.637408691\) \(a_{99}=+0.270074172\) \(a_{100}=-0.541301140\)

Showing 100 of 5000 available coefficients

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