Properties

Level $5$
Weight $0$
Character 5.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 13.4689817279 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.288507453\) \(a_{3}=+1.811760180\) \(a_{4}=-0.916763450\) \(a_{5}=-0.447213596\)
\(a_{6}=+0.522706315\) \(a_{7}=+1.055697990\) \(a_{8}=-0.553000541\) \(a_{9}=+2.282474948\) \(a_{10}=-0.129024455\)
\(a_{11}=+0.668051056\) \(a_{12}=-1.660955512\) \(a_{13}=+0.436996040\) \(a_{14}=+0.304576738\) \(a_{15}=-0.810243784\)
\(a_{16}=+0.757218672\) \(a_{17}=+0.200560325\) \(a_{18}=+0.658511033\) \(a_{19}=+0.419785458\) \(a_{20}=+0.409989078\)
\(a_{21}=+1.912671581\) \(a_{22}=+0.192737711\) \(a_{23}=+0.439179376\) \(a_{24}=-1.001904359\) \(a_{25}=+0.200000000\)
\(a_{26}=+0.126076614\) \(a_{27}=+2.323537042\) \(a_{28}=-0.967825332\) \(a_{29}=+0.894257400\) \(a_{30}=-0.233761370\)
\(a_{31}=-1.787042139\) \(a_{32}=+0.771463771\) \(a_{33}=+1.210348302\) \(a_{34}=+0.057863148\) \(a_{35}=-0.472122494\)
\(a_{36}=-2.092489607\) \(a_{37}=+1.694061173\) \(a_{38}=+0.121111233\) \(a_{39}=+0.791732024\) \(a_{40}=+0.247309360\)
\(a_{41}=-0.254671314\) \(a_{42}=+0.551820006\) \(a_{43}=-1.130846177\) \(a_{44}=-0.612444791\) \(a_{45}=-1.020753828\)
\(a_{46}=+0.126706524\) \(a_{47}=+0.606594334\) \(a_{48}=+1.371898636\) \(a_{49}=+0.114498247\) \(a_{50}=+0.057701493\)
\(a_{51}=+0.363367210\) \(a_{52}=-0.400621998\) \(a_{53}=-1.058308359\) \(a_{54}=+0.670357752\) \(a_{55}=-0.298761524\)
\(a_{56}=-0.583801557\) \(a_{57}=+0.760550596\) \(a_{58}=+0.257999949\) \(a_{59}=-1.367457929\) \(a_{60}=+0.742801805\)
\(a_{61}=-0.756531799\) \(a_{62}=-0.515574940\) \(a_{63}=+2.409604216\) \(a_{64}=-0.534645625\) \(a_{65}=-0.195430570\)
\(a_{66}=+0.349194506\) \(a_{67}=+0.141634038\) \(a_{68}=-0.183866375\) \(a_{69}=+0.795687705\) \(a_{70}=-0.136210858\)
\(a_{71}=-1.022881703\) \(a_{72}=-1.262209880\) \(a_{73}=-0.308704861\) \(a_{74}=+0.488749273\) \(a_{75}=+0.362352036\)
\(a_{76}=-0.384843964\) \(a_{77}=+0.705260157\) \(a_{78}=+0.228420591\) \(a_{79}=+0.007669240\) \(a_{80}=-0.338638487\)
\(a_{81}=+1.927216936\) \(a_{82}=-0.073474567\) \(a_{83}=-0.274544777\) \(a_{84}=-1.753467397\) \(a_{85}=-0.089693298\)
\(a_{86}=-0.326257546\) \(a_{87}=+1.620179941\) \(a_{88}=-0.369432619\) \(a_{89}=+0.778222230\) \(a_{90}=-0.294495072\)
\(a_{91}=+0.461335844\) \(a_{92}=-0.402623618\) \(a_{93}=-3.237691786\) \(a_{94}=+0.175006987\) \(a_{95}=-0.187733764\)
\(a_{96}=+1.397707340\) \(a_{97}=+0.291819757\) \(a_{98}=+0.033033597\) \(a_{99}=+1.524809801\) \(a_{100}=-0.183352690\)

Showing 100 of 5000 available coefficients

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