Properties

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

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Maass form invariants

Level: \( 94 = 2 \cdot 47 \)
Weight: \( 0 \)
Character: 94.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 2.78608484137 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-1.476931130\) \(a_{4}=+0.500000000\) \(a_{5}=+1.455439174\)
\(a_{6}=+1.044348018\) \(a_{7}=+0.285885040\) \(a_{8}=-0.353553391\) \(a_{9}=+1.181325564\) \(a_{10}=-1.029150910\)
\(a_{11}=-0.860711908\) \(a_{12}=-0.738465565\) \(a_{13}=+0.058225939\) \(a_{14}=-0.202151250\) \(a_{15}=-2.149583425\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.353518297\) \(a_{18}=-0.835323317\) \(a_{19}=+0.246946081\) \(a_{20}=+0.727719587\)
\(a_{21}=-0.422232515\) \(a_{22}=+0.608615227\) \(a_{23}=-1.218323890\) \(a_{24}=+0.522174009\) \(a_{25}=+1.118303191\)
\(a_{26}=-0.041171956\) \(a_{27}=-0.267805371\) \(a_{28}=+0.142942520\) \(a_{29}=-1.236803171\) \(a_{30}=+1.519985017\)
\(a_{31}=-1.724086670\) \(a_{32}=-0.176776695\) \(a_{33}=+1.271212211\) \(a_{34}=-0.249975185\) \(a_{35}=+0.416088287\)
\(a_{36}=+0.590662782\) \(a_{37}=-1.682319243\) \(a_{38}=-0.174617249\) \(a_{39}=-0.085995702\) \(a_{40}=-0.514575455\)
\(a_{41}=+1.166306108\) \(a_{42}=+0.298563475\) \(a_{43}=+0.741100573\) \(a_{44}=-0.430355954\) \(a_{45}=+1.719347504\)
\(a_{46}=+0.861485084\) \(a_{47}=-0.145864991\) \(a_{48}=-0.369232783\) \(a_{49}=-0.918269744\) \(a_{50}=-0.790759770\)
\(a_{51}=-0.522122179\) \(a_{52}=+0.029112970\) \(a_{53}=+0.698488759\) \(a_{54}=+0.189366994\) \(a_{55}=-1.252713827\)
\(a_{56}=-0.101075625\) \(a_{57}=-0.364722356\) \(a_{58}=+0.874551910\) \(a_{59}=-1.828381724\) \(a_{60}=-1.074791713\)
\(a_{61}=+0.517017058\) \(a_{62}=+1.219113375\) \(a_{63}=+0.337723301\) \(a_{64}=+0.125000000\) \(a_{65}=+0.084744318\)
\(a_{66}=-0.898882774\) \(a_{67}=-1.334708536\) \(a_{68}=+0.176759149\) \(a_{69}=+1.799380475\) \(a_{70}=-0.294218849\)
\(a_{71}=-0.659809187\) \(a_{72}=-0.417661659\) \(a_{73}=-0.271070840\) \(a_{74}=+1.189579345\) \(a_{75}=-1.651656789\)
\(a_{76}=+0.123473041\) \(a_{77}=-0.246064661\) \(a_{78}=+0.060808144\) \(a_{79}=-1.498500036\) \(a_{80}=+0.363859794\)
\(a_{81}=-0.785795479\) \(a_{82}=-0.824702958\) \(a_{83}=+1.626877657\) \(a_{84}=-0.211116258\) \(a_{85}=+0.514524373\)
\(a_{86}=-0.524037241\) \(a_{87}=+1.826673102\) \(a_{88}=+0.304307613\) \(a_{89}=+1.269902325\) \(a_{90}=-1.215762279\)
\(a_{91}=+0.016645903\) \(a_{92}=-0.609161945\) \(a_{93}=+2.546357293\) \(a_{94}=+0.103142125\) \(a_{95}=+0.359414994\)
\(a_{96}=+0.261087004\) \(a_{97}=+1.430827637\) \(a_{98}=+0.649314763\) \(a_{99}=-1.016780992\) \(a_{100}=+0.559151595\)

Showing 100 of 546 available coefficients

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