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: \( 10.2463013805 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.016244024\) \(a_{3}=-1.639074843\) \(a_{4}=-0.999736132\) \(a_{5}=-0.447213595\)
\(a_{6}=-0.026625171\) \(a_{7}=-1.324936342\) \(a_{8}=-0.032483762\) \(a_{9}=+1.686566341\) \(a_{10}=-0.007264548\)
\(a_{11}=-0.099612586\) \(a_{12}=+1.638642343\) \(a_{13}=+0.194829003\) \(a_{14}=-0.021522298\) \(a_{15}=+0.733016554\)
\(a_{16}=+0.999208465\) \(a_{17}=-0.700988396\) \(a_{18}=+0.027396624\) \(a_{19}=-1.228468187\) \(a_{20}=+0.447095590\)
\(a_{21}=+2.171669827\) \(a_{22}=-0.001618109\) \(a_{23}=-1.417181530\) \(a_{24}=+0.053243317\) \(a_{25}=+0.200000000\)
\(a_{26}=+0.003164807\) \(a_{27}=-1.125333618\) \(a_{28}=+1.324586733\) \(a_{29}=-0.396686191\) \(a_{30}=+0.011907139\)
\(a_{31}=+0.441213745\) \(a_{32}=+0.048714928\) \(a_{33}=+0.163272484\) \(a_{34}=-0.011386872\) \(a_{35}=+0.592529545\)
\(a_{36}=-1.686121310\) \(a_{37}=-0.045125034\) \(a_{38}=-0.019955267\) \(a_{39}=-0.319339318\) \(a_{40}=+0.014527180\)
\(a_{41}=+1.440997870\) \(a_{42}=+0.035276657\) \(a_{43}=+0.536796782\) \(a_{44}=+0.099586302\) \(a_{45}=-0.754255397\)
\(a_{46}=-0.023020731\) \(a_{47}=-0.025695943\) \(a_{48}=-1.637777457\) \(a_{49}=+0.755456312\) \(a_{50}=+0.003248805\)
\(a_{51}=+1.148972442\) \(a_{52}=-0.194777592\) \(a_{53}=-1.220551368\) \(a_{54}=-0.018279949\) \(a_{55}=+0.044548090\)
\(a_{56}=+0.043038935\) \(a_{57}=+2.013551332\) \(a_{58}=-0.006443842\) \(a_{59}=-0.537214442\) \(a_{60}=-0.732823011\)
\(a_{61}=+1.858041467\) \(a_{62}=+0.007167087\) \(a_{63}=-2.234593038\) \(a_{64}=-0.998417138\) \(a_{65}=-0.087130179\)
\(a_{66}=+0.002652202\) \(a_{67}=-0.434648574\) \(a_{68}=+0.700803427\) \(a_{69}=+2.322866595\) \(a_{70}=+0.009625064\)
\(a_{71}=-0.243234037\) \(a_{72}=-0.054786019\) \(a_{73}=-1.073945593\) \(a_{74}=-0.000733012\) \(a_{75}=-0.327814969\)
\(a_{76}=+1.228144034\) \(a_{77}=+0.131980336\) \(a_{78}=-0.005187356\) \(a_{79}=-0.053672766\) \(a_{80}=-0.446859610\)
\(a_{81}=+0.157939682\) \(a_{82}=+0.023407603\) \(a_{83}=-0.323187501\) \(a_{84}=-2.171096792\) \(a_{85}=+0.313491542\)
\(a_{86}=+0.008719740\) \(a_{87}=+0.650198358\) \(a_{88}=+0.003235792\) \(a_{89}=+1.564336644\) \(a_{90}=-0.012252142\)
\(a_{91}=-0.258136027\) \(a_{92}=+1.416807587\) \(a_{93}=-0.723182350\) \(a_{94}=-0.000417401\) \(a_{95}=+0.549387664\)
\(a_{96}=-0.079847423\) \(a_{97}=-1.612837239\) \(a_{98}=+0.012271650\) \(a_{99}=-0.168003195\) \(a_{100}=-0.199947240\)

Showing 100 of 5000 available coefficients

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