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: \( 2.42124004358 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-1.363388111\) \(a_{4}=+0.500000000\) \(a_{5}=+0.438723941\)
\(a_{6}=-0.964060979\) \(a_{7}=+1.065141386\) \(a_{8}=+0.353553391\) \(a_{9}=+0.858827142\) \(a_{10}=+0.310224674\)
\(a_{11}=+1.124740389\) \(a_{12}=-0.681694056\) \(a_{13}=+0.613055312\) \(a_{14}=+0.753168697\) \(a_{15}=-0.598151005\)
\(a_{16}=+0.250000000\) \(a_{17}=+1.656517612\) \(a_{18}=+0.607282496\) \(a_{19}=-1.184155822\) \(a_{20}=+0.219361970\)
\(a_{21}=-1.452201103\) \(a_{22}=+0.795311556\) \(a_{23}=-0.593814214\) \(a_{24}=-0.482030489\) \(a_{25}=-0.807521303\)
\(a_{26}=+0.433495568\) \(a_{27}=+0.192473397\) \(a_{28}=+0.532570693\) \(a_{29}=+0.787120051\) \(a_{30}=-0.422956632\)
\(a_{31}=+0.161539296\) \(a_{32}=+0.176776695\) \(a_{33}=-1.533457674\) \(a_{34}=+1.171334837\) \(a_{35}=+0.467303026\)
\(a_{36}=+0.429413571\) \(a_{37}=+1.761541372\) \(a_{38}=-0.837324612\) \(a_{39}=-0.835832323\) \(a_{40}=+0.155112337\)
\(a_{41}=+0.709335422\) \(a_{42}=-1.026861248\) \(a_{43}=-0.754843200\) \(a_{44}=+0.562370194\) \(a_{45}=+0.376788029\)
\(a_{46}=-0.419890058\) \(a_{47}=-0.145864991\) \(a_{48}=-0.340847028\) \(a_{49}=+0.134526171\) \(a_{50}=-0.571003790\)
\(a_{51}=-2.258476418\) \(a_{52}=+0.306527656\) \(a_{53}=-0.987950128\) \(a_{54}=+0.136099244\) \(a_{55}=+0.493450536\)
\(a_{56}=+0.376584348\) \(a_{57}=+1.614463970\) \(a_{58}=+0.556577926\) \(a_{59}=-0.726092704\) \(a_{60}=-0.299075502\)
\(a_{61}=+1.184568450\) \(a_{62}=+0.114225532\) \(a_{63}=+0.914772339\) \(a_{64}=+0.125000000\) \(a_{65}=+0.268962042\)
\(a_{66}=-1.084318320\) \(a_{67}=+0.538633742\) \(a_{68}=+0.828258806\) \(a_{69}=+0.809599254\) \(a_{70}=+0.330433139\)
\(a_{71}=-0.314808159\) \(a_{72}=+0.303641248\) \(a_{73}=+0.466679460\) \(a_{74}=+1.245597849\) \(a_{75}=+1.100964949\)
\(a_{76}=-0.592077911\) \(a_{77}=+1.198007529\) \(a_{78}=-0.591022703\) \(a_{79}=-0.539299884\) \(a_{80}=+0.109680985\)
\(a_{81}=-1.121243087\) \(a_{82}=+0.501575887\) \(a_{83}=-1.795733746\) \(a_{84}=-0.726100551\) \(a_{85}=+0.726753936\)
\(a_{86}=-0.533754745\) \(a_{87}=-1.073150123\) \(a_{88}=+0.397655778\) \(a_{89}=-0.982573633\) \(a_{90}=+0.266429370\)
\(a_{91}=+0.652990567\) \(a_{92}=-0.296907107\) \(a_{93}=-0.220240743\) \(a_{94}=-0.103142125\) \(a_{95}=-0.519517505\)
\(a_{96}=-0.241015245\) \(a_{97}=-0.223323201\) \(a_{98}=+0.095124368\) \(a_{99}=+0.965957574\) \(a_{100}=-0.403760652\)

Showing 100 of 546 available coefficients

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