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: \( 5.43618046142 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.034711711\) \(a_{3}=-0.876430046\) \(a_{4}=-0.998795097\) \(a_{5}=+0.447213595\)
\(a_{6}=+0.030422386\) \(a_{7}=-0.620538223\) \(a_{8}=+0.069381598\) \(a_{9}=-0.231870374\) \(a_{10}=-0.015523548\)
\(a_{11}=+0.767043118\) \(a_{12}=+0.875374033\) \(a_{13}=-1.784576267\) \(a_{14}=+0.021539943\) \(a_{15}=-0.391951432\)
\(a_{16}=+0.996386743\) \(a_{17}=-0.127794714\) \(a_{18}=+0.008048617\) \(a_{19}=+0.538341851\) \(a_{20}=-0.446674747\)
\(a_{21}=+0.543858343\) \(a_{22}=-0.026625379\) \(a_{23}=-1.512510082\) \(a_{24}=-0.060808116\) \(a_{25}=+0.199951172\)
\(a_{26}=+0.061945695\) \(a_{27}=+1.079648209\) \(a_{28}=+0.619790535\) \(a_{29}=-0.667101597\) \(a_{30}=+0.013605303\)
\(a_{31}=+0.134665636\) \(a_{32}=-0.103967882\) \(a_{33}=-0.672259636\) \(a_{34}=+0.004435967\) \(a_{35}=-0.277513122\)
\(a_{36}=+0.231591002\) \(a_{37}=-0.768117641\) \(a_{38}=-0.018686784\) \(a_{39}=+1.564056297\) \(a_{40}=+0.031028409\)
\(a_{41}=-0.148355702\) \(a_{42}=-0.018878268\) \(a_{43}=+0.978101712\) \(a_{44}=-0.766118942\) \(a_{45}=-0.103695586\)
\(a_{46}=+0.052501816\) \(a_{47}=-0.411104642\) \(a_{48}=-0.873263284\) \(a_{49}=-0.614932316\) \(a_{50}=-0.006942336\)
\(a_{51}=+0.112003125\) \(a_{52}=+1.782426016\) \(a_{53}=-0.194578509\) \(a_{54}=-0.037476423\) \(a_{55}=+0.343032103\)
\(a_{56}=-0.043053948\) \(a_{57}=-0.471818961\) \(a_{58}=+0.023156249\) \(a_{59}=+0.467089381\) \(a_{60}=+0.391479163\)
\(a_{61}=-0.402304164\) \(a_{62}=-0.004674464\) \(a_{63}=+0.143884386\) \(a_{64}=-0.992777851\) \(a_{65}=-0.798086759\)
\(a_{66}=+0.023335299\) \(a_{67}=-0.781191107\) \(a_{68}=+0.127640694\) \(a_{69}=+1.325609340\) \(a_{70}=+0.009633088\)
\(a_{71}=+1.085394766\) \(a_{72}=-0.016087967\) \(a_{73}=+0.448053927\) \(a_{74}=+0.026663445\) \(a_{75}=-0.175286542\)
\(a_{76}=-0.537694295\) \(a_{77}=-0.475977963\) \(a_{78}=-0.054289802\) \(a_{79}=+0.503979751\) \(a_{80}=+0.445596694\)
\(a_{81}=-0.714357786\) \(a_{82}=+0.005149757\) \(a_{83}=-0.576506617\) \(a_{84}=-0.543197898\) \(a_{85}=-0.057133488\)
\(a_{86}=-0.033951595\) \(a_{87}=+0.584667822\) \(a_{88}=+0.053218664\) \(a_{89}=-1.040780479\) \(a_{90}=+0.003599481\)
\(a_{91}=+1.107397783\) \(a_{92}=+1.510687643\) \(a_{93}=-0.118025041\) \(a_{94}=+0.014269994\) \(a_{95}=+0.240753745\)
\(a_{96}=+0.091120761\) \(a_{97}=-0.483104761\) \(a_{98}=+0.021345399\) \(a_{99}=-0.177854549\) \(a_{100}=-0.199759003\)

Showing 100 of 5000 available coefficients

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