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: \( 13.6993069852 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.272554382\) \(a_{3}=-1.074015315\) \(a_{4}=-0.925714109\) \(a_{5}=+0.447213596\)
\(a_{6}=+0.292727581\) \(a_{7}=+1.324734447\) \(a_{8}=+0.524861820\) \(a_{9}=+0.153508898\) \(a_{10}=-0.121890025\)
\(a_{11}=-0.397223075\) \(a_{12}=+0.994231130\) \(a_{13}=+1.295353326\) \(a_{14}=-0.361062179\) \(a_{15}=-0.480314251\)
\(a_{16}=+0.782660719\) \(a_{17}=-0.475799984\) \(a_{18}=-0.041839523\) \(a_{19}=-1.170682425\) \(a_{20}=-0.413991935\)
\(a_{21}=-1.422785085\) \(a_{22}=+0.108264890\) \(a_{23}=-0.628574490\) \(a_{24}=-0.563709633\) \(a_{25}=+0.199951172\)
\(a_{26}=-0.353054226\) \(a_{27}=+0.909144408\) \(a_{28}=-1.226325367\) \(a_{29}=-1.596037036\) \(a_{30}=+0.130911754\)
\(a_{31}=+1.313379784\) \(a_{32}=-0.738179429\) \(a_{33}=+0.426623666\) \(a_{34}=+0.129681371\) \(a_{35}=+0.592439255\)
\(a_{36}=-0.142105352\) \(a_{37}=-1.046112890\) \(a_{38}=+0.319074625\) \(a_{39}=-1.391229311\) \(a_{40}=+0.234725342\)
\(a_{41}=+1.102743017\) \(a_{42}=+0.387786310\) \(a_{43}=-0.611036555\) \(a_{44}=+0.367715004\) \(a_{45}=+0.068651266\)
\(a_{46}=+0.171320732\) \(a_{47}=-0.047031890\) \(a_{48}=-0.840589599\) \(a_{49}=+0.754921354\) \(a_{50}=-0.054510876\)
\(a_{51}=+0.511016470\) \(a_{52}=-1.199126850\) \(a_{53}=-0.510006166\) \(a_{54}=-0.247791293\) \(a_{55}=-0.177643559\)
\(a_{56}=+0.695302531\) \(a_{57}=+1.257330855\) \(a_{58}=+0.435006888\) \(a_{59}=+0.275227401\) \(a_{60}=+0.444633677\)
\(a_{61}=-1.687206888\) \(a_{62}=-0.357967418\) \(a_{63}=+0.203358505\) \(a_{64}=-0.581466661\) \(a_{65}=+0.579299623\)
\(a_{66}=-0.116278069\) \(a_{67}=-0.807695966\) \(a_{68}=+0.440454758\) \(a_{69}=+0.675098630\) \(a_{70}=-0.161471915\)
\(a_{71}=-0.702999109\) \(a_{72}=+0.080570959\) \(a_{73}=+0.940725739\) \(a_{74}=+0.285122653\) \(a_{75}=-0.214803063\)
\(a_{76}=+1.083717237\) \(a_{77}=-0.526215090\) \(a_{78}=+0.379185646\) \(a_{79}=-0.921127775\) \(a_{80}=+0.350016514\)
\(a_{81}=-1.129943916\) \(a_{82}=-0.300557442\) \(a_{83}=-1.554079883\) \(a_{84}=+1.317092226\) \(a_{85}=-0.212784222\)
\(a_{86}=+0.166540691\) \(a_{87}=+1.714168220\) \(a_{88}=-0.208487226\) \(a_{89}=-0.940080932\) \(a_{90}=-0.018711204\)
\(a_{91}=+1.715999172\) \(a_{92}=+0.581880274\) \(a_{93}=-1.410590001\) \(a_{94}=+0.012818749\) \(a_{95}=-0.523545097\)
\(a_{96}=+0.792816011\) \(a_{97}=-0.533366816\) \(a_{98}=-0.205757122\) \(a_{99}=-0.060977272\) \(a_{100}=-0.185142822\)

Showing 100 of 5000 available coefficients

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