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: \( 5.70582652719 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.941919273\) \(a_{3}=+1.460700674\) \(a_{4}=-0.112788083\) \(a_{5}=+0.447213596\)
\(a_{6}=+1.375862117\) \(a_{7}=-0.826622078\) \(a_{8}=-1.048156542\) \(a_{9}=+1.133646459\) \(a_{10}=+0.421239105\)
\(a_{11}=-0.449746512\) \(a_{12}=-0.164749629\) \(a_{13}=+0.630952693\) \(a_{14}=-0.778611267\) \(a_{15}=+0.653245200\)
\(a_{16}=-0.874490765\) \(a_{17}=-0.781011127\) \(a_{18}=+1.067803448\) \(a_{19}=+1.500878930\) \(a_{20}=-0.050440364\)
\(a_{21}=-1.207447426\) \(a_{22}=-0.423624908\) \(a_{23}=+0.827374944\) \(a_{24}=-1.531042967\) \(a_{25}=+0.199951172\)
\(a_{26}=+0.594306502\) \(a_{27}=+0.195217472\) \(a_{28}=+0.093233120\) \(a_{29}=+0.705380489\) \(a_{30}=+0.615304244\)
\(a_{31}=-0.832159749\) \(a_{32}=+0.224456837\) \(a_{33}=-0.656945034\) \(a_{34}=-0.735649432\) \(a_{35}=-0.369676632\)
\(a_{36}=-0.127861812\) \(a_{37}=+0.019295820\) \(a_{38}=+1.413706789\) \(a_{39}=+0.921633024\) \(a_{40}=-0.468749854\)
\(a_{41}=+0.075988464\) \(a_{42}=-1.137318006\) \(a_{43}=+0.050884869\) \(a_{44}=+0.050726043\) \(a_{45}=+0.506982105\)
\(a_{46}=+0.779320422\) \(a_{47}=+0.171534741\) \(a_{48}=-1.277369231\) \(a_{49}=-0.316695953\) \(a_{50}=+0.188383816\)
\(a_{51}=-1.140823492\) \(a_{52}=-0.071163845\) \(a_{53}=+0.574505635\) \(a_{54}=+0.183879126\) \(a_{55}=-0.201132755\)
\(a_{56}=+0.866429339\) \(a_{57}=+2.192334864\) \(a_{58}=+0.664411478\) \(a_{59}=-1.764002145\) \(a_{60}=-0.073678274\)
\(a_{61}=-0.768751019\) \(a_{62}=-0.783827305\) \(a_{63}=-0.937097192\) \(a_{64}=+1.085910986\) \(a_{65}=+0.282170623\)
\(a_{66}=-0.618789189\) \(a_{67}=-0.759753639\) \(a_{68}=+0.088088745\) \(a_{69}=+1.208547141\) \(a_{70}=-0.348205545\)
\(a_{71}=+1.839294743\) \(a_{72}=-1.188238948\) \(a_{73}=+0.224848504\) \(a_{74}=+0.018175094\) \(a_{75}=+0.292140128\)
\(a_{76}=-0.169281250\) \(a_{77}=+0.371770393\) \(a_{78}=+0.868103916\) \(a_{79}=-1.011831220\) \(a_{80}=-0.391084138\)
\(a_{81}=-0.848492197\) \(a_{82}=+0.071574962\) \(a_{83}=-0.660402520\) \(a_{84}=+0.136185711\) \(a_{85}=-0.349278787\)
\(a_{86}=+0.047929469\) \(a_{87}=+1.030349835\) \(a_{88}=+0.471404593\) \(a_{89}=+0.107899440\) \(a_{90}=+0.477536129\)
\(a_{91}=-0.521559427\) \(a_{92}=-0.093318034\) \(a_{93}=-1.215536303\) \(a_{94}=+0.161571887\) \(a_{95}=+0.671213461\)
\(a_{96}=+0.327864256\) \(a_{97}=+1.577269045\) \(a_{98}=-0.298302011\) \(a_{99}=-0.509853545\) \(a_{100}=-0.022557609\)

Showing 100 of 5000 available coefficients

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