Properties

Level $947$
Weight $0$
Character 947.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 947 \)
Weight: \( 0 \)
Character: 947.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.9847861493 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.889909361\) \(a_{3}=+0.481613715\) \(a_{4}=+2.571755186\) \(a_{5}=-0.665977370\)
\(a_{6}=+0.910206680\) \(a_{7}=-0.180720452\) \(a_{8}=+2.970477662\) \(a_{9}=-0.768047417\) \(a_{10}=-1.258634832\)
\(a_{11}=-1.389186426\) \(a_{12}=+1.238593621\) \(a_{13}=+0.442379080\) \(a_{14}=-0.341547042\) \(a_{15}=-0.320745260\)
\(a_{16}=+3.042172762\) \(a_{17}=+1.431059417\) \(a_{18}=-1.451539445\) \(a_{19}=-0.135190092\) \(a_{20}=-1.712730716\)
\(a_{21}=-0.087037451\) \(a_{22}=-2.625436169\) \(a_{23}=-0.424040746\) \(a_{24}=+1.430624534\) \(a_{25}=-0.556474693\)
\(a_{26}=+0.836057190\) \(a_{27}=-0.851516767\) \(a_{28}=-0.464770715\) \(a_{29}=+1.266468533\) \(a_{30}=-0.606175958\)
\(a_{31}=+1.921697200\) \(a_{32}=+2.778955890\) \(a_{33}=-0.669052824\) \(a_{34}=+2.704572227\) \(a_{35}=+0.120355268\)
\(a_{36}=-1.975230136\) \(a_{37}=-0.170815101\) \(a_{38}=-0.255499734\) \(a_{39}=+0.213055854\) \(a_{40}=-1.978267269\)
\(a_{41}=-0.807557791\) \(a_{42}=-0.164493994\) \(a_{43}=+0.209603881\) \(a_{44}=-3.572649521\) \(a_{45}=+0.511501089\)
\(a_{46}=-0.801396589\) \(a_{47}=+0.806682750\) \(a_{48}=+1.465151886\) \(a_{49}=-0.967339150\) \(a_{50}=-1.051686135\)
\(a_{51}=+0.689218218\) \(a_{52}=+1.137691245\) \(a_{53}=+0.229168398\) \(a_{54}=-1.609291456\) \(a_{55}=+0.925165907\)
\(a_{56}=-0.536828116\) \(a_{57}=-0.065109890\) \(a_{58}=+2.393507940\) \(a_{59}=+0.552483283\) \(a_{60}=-0.824877497\)
\(a_{61}=+1.507203113\) \(a_{62}=+3.631831988\) \(a_{63}=+0.138804222\) \(a_{64}=+2.209797425\) \(a_{65}=-0.294613434\)
\(a_{66}=-1.264448482\) \(a_{67}=-0.966567515\) \(a_{68}=+3.680337154\) \(a_{69}=-0.204223591\) \(a_{70}=+0.227462606\)
\(a_{71}=+1.079127518\) \(a_{72}=-2.281466479\) \(a_{73}=-0.860226077\) \(a_{74}=-0.322822243\) \(a_{75}=-0.268007667\)
\(a_{76}=-0.347679686\) \(a_{77}=+0.251055281\) \(a_{78}=+0.402657817\) \(a_{79}=+1.454090020\) \(a_{80}=-2.026018882\)
\(a_{81}=+0.357945167\) \(a_{82}=-1.526213262\) \(a_{83}=-0.999811277\) \(a_{84}=-0.223839445\) \(a_{85}=-0.953053660\)
\(a_{86}=+0.396130755\) \(a_{87}=+0.609950053\) \(a_{88}=-4.126543219\) \(a_{89}=-0.426133038\) \(a_{90}=+0.966694237\)
\(a_{91}=-0.079948609\) \(a_{92}=-1.090529107\) \(a_{93}=+0.925517160\) \(a_{94}=+1.524556959\) \(a_{95}=+0.090034362\)
\(a_{96}=+1.338387544\) \(a_{97}=-0.772152907\) \(a_{98}=-1.828185130\) \(a_{99}=+1.066961554\) \(a_{100}=-1.431118355\)

Showing 100 of 2202 available coefficients

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