Properties

Level $94$
Weight $0$
Character 94.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 94 = 2 \cdot 47 \)
Weight: \( 0 \)
Character: 94.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.270933280059 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-0.465446581\) \(a_{4}=+0.500000000\) \(a_{5}=-1.155446096\)
\(a_{6}=+0.329120434\) \(a_{7}=-0.201436536\) \(a_{8}=-0.353553391\) \(a_{9}=-0.783359480\) \(a_{10}=+0.817023770\)
\(a_{11}=-0.461041690\) \(a_{12}=-0.232723291\) \(a_{13}=+0.267011239\) \(a_{14}=+0.142437141\) \(a_{15}=+0.537798435\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.178456122\) \(a_{18}=+0.553918800\) \(a_{19}=+0.925063694\) \(a_{20}=-0.577723048\)
\(a_{21}=+0.093757947\) \(a_{22}=+0.326005706\) \(a_{23}=+1.152910348\) \(a_{24}=+0.164560217\) \(a_{25}=+0.335055681\)
\(a_{26}=-0.188805458\) \(a_{27}=+0.830058573\) \(a_{28}=-0.100718268\) \(a_{29}=-0.642960398\) \(a_{30}=-0.380280920\)
\(a_{31}=+0.515724049\) \(a_{32}=-0.176776695\) \(a_{33}=+0.214590279\) \(a_{34}=+0.126187534\) \(a_{35}=+0.232749060\)
\(a_{36}=-0.391679740\) \(a_{37}=-0.828727746\) \(a_{38}=-0.654118811\) \(a_{39}=-0.124279469\) \(a_{40}=+0.408511885\)
\(a_{41}=-1.798048126\) \(a_{42}=-0.066296880\) \(a_{43}=-0.419304336\) \(a_{44}=-0.230520845\) \(a_{45}=+0.905129653\)
\(a_{46}=-0.815230725\) \(a_{47}=-0.145864991\) \(a_{48}=-0.116361645\) \(a_{49}=-0.959423322\) \(a_{50}=-0.236920144\)
\(a_{51}=+0.083061792\) \(a_{52}=+0.133505620\) \(a_{53}=+1.382297904\) \(a_{54}=-0.586940046\) \(a_{55}=+0.532708821\)
\(a_{56}=+0.071218570\) \(a_{57}=-0.430567734\) \(a_{58}=+0.454641657\) \(a_{59}=-0.276541251\) \(a_{60}=+0.268899218\)
\(a_{61}=+1.012452493\) \(a_{62}=-0.364671972\) \(a_{63}=+0.157797220\) \(a_{64}=+0.125000000\) \(a_{65}=-0.308517094\)
\(a_{66}=-0.151738241\) \(a_{67}=-0.580682337\) \(a_{68}=-0.089228061\) \(a_{69}=-0.536618180\) \(a_{70}=-0.164578438\)
\(a_{71}=-0.504332915\) \(a_{72}=+0.276959400\) \(a_{73}=-0.161580600\) \(a_{74}=+0.585999009\) \(a_{75}=-0.155950521\)
\(a_{76}=+0.462531847\) \(a_{77}=+0.092870641\) \(a_{78}=+0.087878855\) \(a_{79}=-0.320897622\) \(a_{80}=-0.288861524\)
\(a_{81}=+0.397011555\) \(a_{82}=+1.271412023\) \(a_{83}=+1.462217509\) \(a_{84}=+0.046878974\) \(a_{85}=+0.206196430\)
\(a_{86}=+0.296492939\) \(a_{87}=+0.299263719\) \(a_{88}=+0.163002853\) \(a_{89}=+0.814006445\) \(a_{90}=-0.640023316\)
\(a_{91}=-0.053785819\) \(a_{92}=+0.576455174\) \(a_{93}=-0.240041995\) \(a_{94}=+0.103142125\) \(a_{95}=-1.068861234\)
\(a_{96}=+0.082280108\) \(a_{97}=+0.118780964\) \(a_{98}=+0.678414737\) \(a_{99}=+0.361161379\) \(a_{100}=+0.167527841\)

Showing 100 of 756 available coefficients

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