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: \( 8.29469778357 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.338977620\) \(a_{3}=+1.753416441\) \(a_{4}=+0.792861066\) \(a_{5}=-0.447213595\)
\(a_{6}=+2.347785372\) \(a_{7}=+0.154222730\) \(a_{8}=-0.277354397\) \(a_{9}=+2.074469216\) \(a_{10}=-0.598808996\)
\(a_{11}=-0.462043530\) \(a_{12}=+1.390215628\) \(a_{13}=-0.057745385\) \(a_{14}=+0.206500783\) \(a_{15}=-0.784151671\)
\(a_{16}=-1.164232395\) \(a_{17}=+0.589944451\) \(a_{18}=+2.777667852\) \(a_{19}=-1.508278932\) \(a_{20}=-0.354578248\)
\(a_{21}=+0.270416670\) \(a_{22}=-0.618665946\) \(a_{23}=-0.014296185\) \(a_{24}=-0.486317760\) \(a_{25}=+0.200000000\)
\(a_{26}=-0.077319779\) \(a_{27}=+1.883991988\) \(a_{28}=+0.122277198\) \(a_{29}=-0.585843119\) \(a_{30}=-1.049961538\)
\(a_{31}=+0.926075281\) \(a_{32}=-1.281526725\) \(a_{33}=-0.810154722\) \(a_{34}=+0.789922417\) \(a_{35}=-0.068970501\)
\(a_{36}=+1.644765873\) \(a_{37}=+0.863077655\) \(a_{38}=-2.019551733\) \(a_{39}=-0.101251708\) \(a_{40}=+0.124036657\)
\(a_{41}=+0.113771818\) \(a_{42}=+0.362081869\) \(a_{43}=+0.789876627\) \(a_{44}=-0.366336327\) \(a_{45}=-0.927730835\)
\(a_{46}=-0.019142269\) \(a_{47}=+1.411692472\) \(a_{48}=-2.041384230\) \(a_{49}=-0.976215342\) \(a_{50}=+0.267795535\)
\(a_{51}=+1.034418282\) \(a_{52}=-0.045784073\) \(a_{53}=+0.733702728\) \(a_{54}=+2.522623112\) \(a_{55}=+0.206632148\)
\(a_{56}=-0.042774352\) \(a_{57}=-2.644641077\) \(a_{58}=-0.784430825\) \(a_{59}=-0.978146833\) \(a_{60}=-0.621723330\)
\(a_{61}=+0.963395151\) \(a_{62}=+1.239994075\) \(a_{63}=+0.319930305\) \(a_{64}=-0.551703208\) \(a_{65}=+0.025824521\)
\(a_{66}=-1.084779041\) \(a_{67}=+1.750782840\) \(a_{68}=+0.467743986\) \(a_{69}=-0.025067165\) \(a_{70}=-0.092349957\)
\(a_{71}=+0.538568707\) \(a_{72}=-0.575363159\) \(a_{73}=-1.287275778\) \(a_{74}=+1.155641665\) \(a_{75}=+0.350683285\)
\(a_{76}=-1.195855639\) \(a_{77}=-0.071257613\) \(a_{78}=-0.135573774\) \(a_{79}=-1.596907316\) \(a_{80}=+0.520660555\)
\(a_{81}=+1.228953316\) \(a_{82}=+0.152337912\) \(a_{83}=+0.338165079\) \(a_{84}=+0.214402850\) \(a_{85}=-0.263831174\)
\(a_{86}=+1.057627098\) \(a_{87}=-1.027226943\) \(a_{88}=+0.128149836\) \(a_{89}=+0.018023793\) \(a_{90}=-1.242210775\)
\(a_{91}=-0.008905652\) \(a_{92}=-0.011334901\) \(a_{93}=+1.623795557\) \(a_{94}=+1.890224688\) \(a_{95}=+0.674522860\)
\(a_{96}=-2.247050030\) \(a_{97}=-0.302674820\) \(a_{98}=-1.307130504\) \(a_{99}=-0.958495078\) \(a_{100}=+0.158572212\)

Showing 100 of 5000 available coefficients

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