Properties

Level $5$
Weight $0$
Character 5.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 11.0931280005 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.318210087\) \(a_{3}=-0.149858690\) \(a_{4}=-0.898742341\) \(a_{5}=+0.447213595\)
\(a_{6}=+0.047686547\) \(a_{7}=-1.395697135\) \(a_{8}=+0.604198965\) \(a_{9}=-0.977542373\) \(a_{10}=-0.142307877\)
\(a_{11}=+0.943492424\) \(a_{12}=+0.134684350\) \(a_{13}=+1.575369812\) \(a_{14}=+0.444124907\) \(a_{15}=-0.067018844\)
\(a_{16}=+0.706480135\) \(a_{17}=-0.278271799\) \(a_{18}=+0.311063844\) \(a_{19}=+1.356320929\) \(a_{20}=-0.401929793\)
\(a_{21}=+0.209157347\) \(a_{22}=-0.300228806\) \(a_{23}=-0.143793365\) \(a_{24}=-0.090544465\) \(a_{25}=+0.199951172\)
\(a_{26}=-0.501298565\) \(a_{27}=+0.296351909\) \(a_{28}=+1.254372110\) \(a_{29}=-0.251700974\) \(a_{30}=+0.021326072\)
\(a_{31}=-0.247903083\) \(a_{32}=-0.829008071\) \(a_{33}=-0.141390539\) \(a_{34}=+0.088548893\) \(a_{35}=-0.624174734\)
\(a_{36}=+0.878558720\) \(a_{37}=+1.012746641\) \(a_{38}=-0.431595001\) \(a_{39}=-0.236082856\) \(a_{40}=+0.270205992\)
\(a_{41}=+0.519646957\) \(a_{42}=-0.066555977\) \(a_{43}=-0.689120000\) \(a_{44}=-0.847956589\) \(a_{45}=-0.437170239\)
\(a_{46}=+0.045756499\) \(a_{47}=+0.837931757\) \(a_{48}=-0.105872188\) \(a_{49}=+0.947970493\) \(a_{50}=-0.063642017\)
\(a_{51}=+0.041701447\) \(a_{52}=-1.415851552\) \(a_{53}=+1.558394485\) \(a_{54}=-0.094302167\) \(a_{55}=+0.421942639\)
\(a_{56}=-0.843278765\) \(a_{57}=-0.203256477\) \(a_{58}=+0.080093788\) \(a_{59}=-0.491693257\) \(a_{60}=+0.060232673\)
\(a_{61}=-1.058350121\) \(a_{62}=+0.078885262\) \(a_{63}=+1.364353091\) \(a_{64}=-0.442681403\) \(a_{65}=+0.704526792\)
\(a_{66}=+0.044991897\) \(a_{67}=+0.379593621\) \(a_{68}=+0.250094647\) \(a_{69}=+0.021548685\) \(a_{70}=+0.198618696\)
\(a_{71}=-1.451115108\) \(a_{72}=-0.590630090\) \(a_{73}=+1.783121465\) \(a_{74}=-0.322266197\) \(a_{75}=-0.029971738\)
\(a_{76}=-1.218983046\) \(a_{77}=-1.316829673\) \(a_{78}=+0.075123946\) \(a_{79}=+0.896152948\) \(a_{80}=+0.315947521\)
\(a_{81}=+0.933131464\) \(a_{82}=-0.165356904\) \(a_{83}=+0.756217395\) \(a_{84}=-0.187978561\) \(a_{85}=-0.124446932\)
\(a_{86}=+0.219284935\) \(a_{87}=+0.037719578\) \(a_{88}=+0.570057146\) \(a_{89}=-0.278506683\) \(a_{90}=+0.139111980\)
\(a_{91}=-2.198739134\) \(a_{92}=+0.129233184\) \(a_{93}=+0.037150432\) \(a_{94}=-0.266638336\) \(a_{95}=+0.606565159\)
\(a_{96}=+0.124234062\) \(a_{97}=+0.511304263\) \(a_{98}=-0.301653771\) \(a_{99}=-0.922303828\) \(a_{100}=-0.179748468\)

Showing 100 of 5000 available coefficients

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