Properties

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

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 13.2197860798 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.010061168\) \(a_{3}=-1.091763001\) \(a_{4}=+0.020223562\) \(a_{5}=-0.447213595\)
\(a_{6}=+1.102747411\) \(a_{7}=-0.010558710\) \(a_{8}=+0.989634133\) \(a_{9}=+0.191946450\) \(a_{10}=+0.451713086\)
\(a_{11}=+1.349913326\) \(a_{12}=-0.022079337\) \(a_{13}=+1.163436736\) \(a_{14}=+0.010664943\) \(a_{15}=+0.488251257\)
\(a_{16}=-1.019814570\) \(a_{17}=-0.969918333\) \(a_{18}=-0.193877655\) \(a_{19}=-0.970912755\) \(a_{20}=-0.009044252\)
\(a_{21}=+0.011527609\) \(a_{22}=-1.363495030\) \(a_{23}=+0.160468693\) \(a_{24}=-1.080445930\) \(a_{25}=+0.200000000\)
\(a_{26}=-1.175142268\) \(a_{27}=+0.882202969\) \(a_{28}=-0.000213535\) \(a_{29}=+1.226027200\) \(a_{30}=-0.493163635\)
\(a_{31}=-1.138941951\) \(a_{32}=+0.040440963\) \(a_{33}=-1.473785423\) \(a_{34}=+0.979676844\) \(a_{35}=+0.004721999\)
\(a_{36}=+0.003881841\) \(a_{37}=+1.412926289\) \(a_{38}=+0.980681271\) \(a_{39}=-1.270197182\) \(a_{40}=-0.442577839\)
\(a_{41}=-1.243164313\) \(a_{42}=-0.011643590\) \(a_{43}=+1.144242809\) \(a_{44}=+0.027300056\) \(a_{45}=-0.085841062\)
\(a_{46}=-0.162083195\) \(a_{47}=-0.388830082\) \(a_{48}=+1.113395815\) \(a_{49}=-0.999888514\) \(a_{50}=-0.202012234\)
\(a_{51}=+1.058920950\) \(a_{52}=+0.023528836\) \(a_{53}=+0.795132793\) \(a_{54}=-0.891078961\) \(a_{55}=-0.603699592\)
\(a_{56}=-0.010449259\) \(a_{57}=+1.060006622\) \(a_{58}=-1.238362465\) \(a_{59}=-0.982403883\) \(a_{60}=+0.009874180\)
\(a_{61}=+0.268986538\) \(a_{62}=+1.150401037\) \(a_{63}=-0.002026707\) \(a_{64}=+0.978966724\) \(a_{65}=-0.520304726\)
\(a_{66}=+1.488613425\) \(a_{67}=-1.666938909\) \(a_{68}=-0.019615204\) \(a_{69}=-0.175193781\) \(a_{70}=-0.004769507\)
\(a_{71}=-0.209961472\) \(a_{72}=+0.189956758\) \(a_{73}=+0.043139059\) \(a_{74}=-1.427141977\) \(a_{75}=-0.218352600\)
\(a_{76}=-0.019635315\) \(a_{77}=-0.014253343\) \(a_{78}=+1.282976849\) \(a_{79}=+1.220500502\) \(a_{80}=+0.456074941\)
\(a_{81}=-1.155103010\) \(a_{82}=+1.255671998\) \(a_{83}=-0.515776912\) \(a_{84}=+0.000233129\) \(a_{85}=+0.433760665\)
\(a_{86}=-1.155755228\) \(a_{87}=-1.338531134\) \(a_{88}=+1.335920303\) \(a_{89}=-1.712004652\) \(a_{90}=+0.086704723\)
\(a_{91}=-0.012284391\) \(a_{92}=+0.003245249\) \(a_{93}=+1.243454682\) \(a_{94}=+0.392742167\) \(a_{95}=+0.434205384\)
\(a_{96}=-0.044151947\) \(a_{97}=-1.190213717\) \(a_{98}=+1.009948560\) \(a_{99}=+0.259111071\) \(a_{100}=+0.004044712\)

Showing 100 of 1228 available coefficients

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