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: \( 4.96677990938 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.965610030\) \(a_{3}=+1.632587775\) \(a_{4}=-0.067597270\) \(a_{5}=-0.226231363\)
\(a_{6}=+1.576443130\) \(a_{7}=+1.756997942\) \(a_{8}=-1.030882632\) \(a_{9}=+1.665342844\) \(a_{10}=-0.218451273\)
\(a_{11}=+0.170252953\) \(a_{12}=-0.110358477\) \(a_{13}=+1.236075765\) \(a_{14}=+1.696574835\) \(a_{15}=-0.369342558\)
\(a_{16}=-0.927833339\) \(a_{17}=-0.078028978\) \(a_{18}=+1.608071753\) \(a_{19}=-0.431558085\) \(a_{20}=+0.015292623\)
\(a_{21}=+2.868453361\) \(a_{22}=+0.164397959\) \(a_{23}=+0.172703214\) \(a_{24}=-1.683006383\) \(a_{25}=-0.948819370\)
\(a_{26}=+1.193567156\) \(a_{27}=+1.086230593\) \(a_{28}=-0.118768265\) \(a_{29}=-0.185695338\) \(a_{30}=-0.356640878\)
\(a_{31}=-1.726113527\) \(a_{32}=+0.134957454\) \(a_{33}=+0.277952890\) \(a_{34}=-0.075345564\) \(a_{35}=-0.397488040\)
\(a_{36}=-0.112572630\) \(a_{37}=-0.805538483\) \(a_{38}=-0.416716815\) \(a_{39}=+2.018002183\) \(a_{40}=+0.233217983\)
\(a_{41}=+1.280384145\) \(a_{42}=+2.769807336\) \(a_{43}=-0.764393935\) \(a_{44}=-0.011508635\) \(a_{45}=-0.376752782\)
\(a_{46}=+0.166763956\) \(a_{47}=-0.791927738\) \(a_{48}=-1.514769367\) \(a_{49}=+2.087041769\) \(a_{50}=-0.916189501\)
\(a_{51}=-0.127389156\) \(a_{52}=-0.083555347\) \(a_{53}=-1.655133880\) \(a_{54}=+1.048875155\) \(a_{55}=-0.038516558\)
\(a_{56}=-1.811258663\) \(a_{57}=-0.704556453\) \(a_{58}=-0.179309281\) \(a_{59}=+0.481088494\) \(a_{60}=+0.024966549\)
\(a_{61}=-0.375570948\) \(a_{62}=-1.666752534\) \(a_{63}=+2.926003949\) \(a_{64}=+1.058149610\) \(a_{65}=-0.279639105\)
\(a_{66}=+0.268394098\) \(a_{67}=+1.604656190\) \(a_{68}=+0.005274546\) \(a_{69}=+0.281953156\) \(a_{70}=-0.383818438\)
\(a_{71}=+1.693949011\) \(a_{72}=-1.716773014\) \(a_{73}=-1.738796574\) \(a_{74}=-0.777836039\) \(a_{75}=-1.549030905\)
\(a_{76}=+0.029172148\) \(a_{77}=+0.299134088\) \(a_{78}=+1.948603149\) \(a_{79}=-0.534519878\) \(a_{80}=+0.209905001\)
\(a_{81}=+0.108023942\) \(a_{82}=+1.236351770\) \(a_{83}=+0.645961342\) \(a_{84}=-0.193899614\) \(a_{85}=+0.017652604\)
\(a_{86}=-0.738106454\) \(a_{87}=-0.303163944\) \(a_{88}=-0.175510811\) \(a_{89}=+1.022314345\) \(a_{90}=-0.363796259\)
\(a_{91}=+2.171782579\) \(a_{92}=-0.011674278\) \(a_{93}=-2.818031856\) \(a_{94}=-0.764693363\) \(a_{95}=+0.097631974\)
\(a_{96}=+0.220329888\) \(a_{97}=+0.035836707\) \(a_{98}=+2.015268466\) \(a_{99}=+0.283529536\) \(a_{100}=+0.064137598\)

Showing 100 of 1500 available coefficients

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