Properties

Level $29$
Weight $0$
Character 29.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 29 \)
Weight: \( 0 \)
Character: 29.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 4.21369833883 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.153574780\) \(a_{3}=+1.520065735\) \(a_{4}=-0.976414787\) \(a_{5}=-0.747655972\)
\(a_{6}=+0.233443761\) \(a_{7}=-1.592080180\) \(a_{8}=-0.303527466\) \(a_{9}=+1.310599838\) \(a_{10}=-0.114821102\)
\(a_{11}=+0.177743241\) \(a_{12}=-1.484214660\) \(a_{13}=-1.413784062\) \(a_{14}=-0.244503363\) \(a_{15}=-1.136486224\)
\(a_{16}=+0.929800623\) \(a_{17}=+0.118211384\) \(a_{18}=+0.201275082\) \(a_{19}=+0.150852116\) \(a_{20}=+0.730022347\)
\(a_{21}=-2.420066529\) \(a_{22}=+0.027296879\) \(a_{23}=+1.351865313\) \(a_{24}=-0.461381701\) \(a_{25}=-0.441010548\)
\(a_{26}=-0.217121576\) \(a_{27}=+0.472132170\) \(a_{28}=+1.554530630\) \(a_{29}=+0.185695338\) \(a_{30}=-0.174535622\)
\(a_{31}=-1.343032932\) \(a_{32}=+0.446321392\) \(a_{33}=+0.270181411\) \(a_{34}=+0.018154287\) \(a_{35}=+1.190328255\)
\(a_{36}=-1.279689061\) \(a_{37}=+0.241809356\) \(a_{38}=+0.023167080\) \(a_{39}=-2.149044709\) \(a_{40}=+0.226934123\)
\(a_{41}=+0.656801790\) \(a_{42}=-0.371661185\) \(a_{43}=-1.794659674\) \(a_{44}=-0.173551129\) \(a_{45}=-0.979877795\)
\(a_{46}=+0.207612417\) \(a_{47}=+1.056214104\) \(a_{48}=+1.413358068\) \(a_{49}=+1.534719301\) \(a_{50}=-0.067728099\)
\(a_{51}=+0.179689074\) \(a_{52}=+1.380439666\) \(a_{53}=-1.049444429\) \(a_{54}=+0.072507594\) \(a_{55}=-0.132890799\)
\(a_{56}=+0.483240061\) \(a_{57}=+0.229305137\) \(a_{58}=+0.028518125\) \(a_{59}=-0.121663865\) \(a_{60}=+1.109681944\)
\(a_{61}=-1.294483098\) \(a_{62}=-0.206255972\) \(a_{63}=-2.086580019\) \(a_{64}=-0.861256926\) \(a_{65}=+1.057024085\)
\(a_{66}=+0.041493055\) \(a_{67}=-0.174468574\) \(a_{68}=-0.115423340\) \(a_{69}=+2.054924117\) \(a_{70}=+0.182804394\)
\(a_{71}=-1.218480791\) \(a_{72}=-0.397803022\) \(a_{73}=+1.225054945\) \(a_{74}=+0.037135736\) \(a_{75}=-0.670364993\)
\(a_{76}=-0.147294136\) \(a_{77}=-0.282981516\) \(a_{78}=-0.330039179\) \(a_{79}=+0.116734107\) \(a_{80}=-0.695170987\)
\(a_{81}=-0.592927864\) \(a_{82}=+0.100868214\) \(a_{83}=-1.857510406\) \(a_{84}=+2.362988698\) \(a_{85}=-0.088381486\)
\(a_{86}=-0.275614449\) \(a_{87}=+0.282269106\) \(a_{88}=-0.053950008\) \(a_{89}=+0.734454244\) \(a_{90}=-0.150484495\)
\(a_{91}=+2.250857640\) \(a_{92}=-1.319981268\) \(a_{93}=-2.041498384\) \(a_{94}=+0.162207832\) \(a_{95}=-0.112785496\)
\(a_{96}=+0.678437863\) \(a_{97}=+1.500101198\) \(a_{98}=+0.235694185\) \(a_{99}=+0.232950224\) \(a_{100}=+0.430609209\)

Showing 100 of 1500 available coefficients

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