Properties

Level $467$
Weight $0$
Character 467.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 467 \)
Weight: \( 0 \)
Character: 467.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.41472564884 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.811638702\) \(a_{3}=-0.512959278\) \(a_{4}=-0.341242679\) \(a_{5}=+0.855680205\)
\(a_{6}=-0.416337580\) \(a_{7}=+0.297673930\) \(a_{8}=-1.088604436\) \(a_{9}=-0.736872663\) \(a_{10}=+0.694503128\)
\(a_{11}=+0.077642773\) \(a_{12}=+0.175043570\) \(a_{13}=+0.025511625\) \(a_{14}=+0.241603714\) \(a_{15}=-0.438929198\)
\(a_{16}=-0.542310779\) \(a_{17}=-0.491996284\) \(a_{18}=-0.598074395\) \(a_{19}=-0.396054338\) \(a_{20}=-0.291994550\)
\(a_{21}=-0.152694744\) \(a_{22}=+0.063017941\) \(a_{23}=+0.181690567\) \(a_{24}=+0.558409718\) \(a_{25}=-0.267811311\)
\(a_{26}=+0.020706251\) \(a_{27}=+0.890945096\) \(a_{28}=-0.101579030\) \(a_{29}=-1.157875857\) \(a_{30}=-0.356251922\)
\(a_{31}=-1.736578358\) \(a_{32}=+0.648443978\) \(a_{33}=-0.039827585\) \(a_{34}=-0.399323209\) \(a_{35}=+0.254713812\)
\(a_{36}=+0.251452391\) \(a_{37}=+1.256051644\) \(a_{38}=-0.321453083\) \(a_{39}=-0.013086409\) \(a_{40}=-0.931497219\)
\(a_{41}=+1.646234956\) \(a_{42}=-0.123932928\) \(a_{43}=+1.336866857\) \(a_{44}=-0.026495060\) \(a_{45}=-0.630527496\)
\(a_{46}=+0.147467122\) \(a_{47}=-0.023143260\) \(a_{48}=+0.278183387\) \(a_{49}=-0.911390123\) \(a_{50}=-0.217366028\)
\(a_{51}=+0.252374126\) \(a_{52}=-0.008705693\) \(a_{53}=-1.073555906\) \(a_{54}=+0.723125453\) \(a_{55}=+0.066437400\)
\(a_{56}=-0.324049167\) \(a_{57}=+0.203159778\) \(a_{58}=-0.939776783\) \(a_{59}=-0.759732164\) \(a_{60}=+0.149781379\)
\(a_{61}=+0.523845829\) \(a_{62}=-1.409474212\) \(a_{63}=-0.219347927\) \(a_{64}=+1.068613047\) \(a_{65}=+0.021829791\)
\(a_{66}=-0.032325583\) \(a_{67}=+1.150371790\) \(a_{68}=+0.167890110\) \(a_{69}=-0.093199922\) \(a_{70}=+0.206735548\)
\(a_{71}=+0.761371347\) \(a_{72}=+0.802162877\) \(a_{73}=+0.524043031\) \(a_{74}=+1.019460060\) \(a_{75}=+0.137376378\)
\(a_{76}=+0.135150637\) \(a_{77}=+0.023112194\) \(a_{78}=-0.010621411\) \(a_{79}=+0.738266322\) \(a_{80}=-0.464044629\)
\(a_{81}=+0.279854168\) \(a_{82}=+1.336147949\) \(a_{83}=+0.650567946\) \(a_{84}=+0.052105968\) \(a_{85}=-0.420991538\)
\(a_{86}=+1.085052860\) \(a_{87}=+0.593943092\) \(a_{88}=-0.084522294\) \(a_{89}=-0.127825636\) \(a_{90}=-0.511760482\)
\(a_{91}=+0.007594113\) \(a_{92}=-0.062000597\) \(a_{93}=+0.890794087\) \(a_{94}=-0.018783971\) \(a_{95}=-0.338895906\)
\(a_{96}=-0.332625334\) \(a_{97}=-1.375590605\) \(a_{98}=-0.739719507\) \(a_{99}=-0.057212819\) \(a_{100}=+0.091388652\)

Showing 100 of 1480 available coefficients

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