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: \( 12.6360800548 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.761392899\) \(a_{3}=+0.300767448\) \(a_{4}=-0.420280853\) \(a_{5}=+0.447213595\)
\(a_{6}=+0.229002199\) \(a_{7}=-0.272546673\) \(a_{8}=-1.081391756\) \(a_{9}=-0.909538942\) \(a_{10}=+0.340505256\)
\(a_{11}=+0.899920930\) \(a_{12}=-0.126406800\) \(a_{13}=-0.897526025\) \(a_{14}=-0.207515101\) \(a_{15}=+0.134507292\)
\(a_{16}=-0.403083152\) \(a_{17}=-1.082044509\) \(a_{18}=-0.692516492\) \(a_{19}=-1.253517049\) \(a_{20}=-0.187955310\)
\(a_{21}=-0.081973173\) \(a_{22}=+0.685193406\) \(a_{23}=-0.884383744\) \(a_{24}=-0.325247439\) \(a_{25}=+0.200000000\)
\(a_{26}=-0.683369942\) \(a_{27}=-0.574327154\) \(a_{28}=+0.114546148\) \(a_{29}=+0.840789971\) \(a_{30}=+0.102412897\)
\(a_{31}=-0.848753864\) \(a_{32}=+0.774487107\) \(a_{33}=+0.270666922\) \(a_{34}=-0.823861006\) \(a_{35}=-0.121886577\)
\(a_{36}=+0.382261803\) \(a_{37}=+0.301533372\) \(a_{38}=-0.954418980\) \(a_{39}=-0.269946612\) \(a_{40}=-0.483613095\)
\(a_{41}=+1.288722114\) \(a_{42}=-0.062413787\) \(a_{43}=+1.489487902\) \(a_{44}=-0.378219536\) \(a_{45}=-0.406758181\)
\(a_{46}=-0.673363503\) \(a_{47}=+0.007765049\) \(a_{48}=-0.121234290\) \(a_{49}=-0.925718311\) \(a_{50}=+0.152278578\)
\(a_{51}=-0.325443765\) \(a_{52}=+0.377213005\) \(a_{53}=+1.503589296\) \(a_{54}=-0.437288616\) \(a_{55}=+0.402456875\)
\(a_{56}=+0.294729732\) \(a_{57}=-0.377017148\) \(a_{58}=+0.640171516\) \(a_{59}=-0.813713162\) \(a_{60}=-0.056530820\)
\(a_{61}=-0.987245542\) \(a_{62}=-0.646235189\) \(a_{63}=+0.247891922\) \(a_{64}=+0.992772135\) \(a_{65}=-0.401385841\)
\(a_{66}=+0.206083872\) \(a_{67}=+0.033299488\) \(a_{68}=+0.454762590\) \(a_{69}=-0.265993842\) \(a_{70}=-0.092803575\)
\(a_{71}=+0.797489631\) \(a_{72}=+0.983567914\) \(a_{73}=-1.781824131\) \(a_{74}=+0.229585369\) \(a_{75}=+0.060153490\)
\(a_{76}=+0.526829214\) \(a_{77}=-0.245270456\) \(a_{78}=-0.205535432\) \(a_{79}=-1.207779392\) \(a_{80}=-0.180264268\)
\(a_{81}=+0.736800030\) \(a_{82}=+0.981223870\) \(a_{83}=-1.307155978\) \(a_{84}=+0.034451747\) \(a_{85}=-0.483905013\)
\(a_{86}=+1.134085522\) \(a_{87}=+0.252882242\) \(a_{88}=-0.973167083\) \(a_{89}=+1.746710870\) \(a_{90}=-0.309702787\)
\(a_{91}=+0.244617696\) \(a_{92}=+0.371689566\) \(a_{93}=-0.255277533\) \(a_{94}=+0.005912254\) \(a_{95}=-0.560589868\)
\(a_{96}=+0.232940509\) \(a_{97}=-0.677210353\) \(a_{98}=-0.704835347\) \(a_{99}=-0.818513135\) \(a_{100}=-0.084056170\)

Showing 100 of 5000 available coefficients

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