Properties

Level $5$
Weight $0$
Character 5.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 13.0963889192 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.315738114\) \(a_{3}=+0.893821067\) \(a_{4}=-0.900309444\) \(a_{5}=+0.447213596\)
\(a_{6}=-0.282213378\) \(a_{7}=+0.515100107\) \(a_{8}=+0.600000120\) \(a_{9}=-0.201083900\) \(a_{10}=-0.141202377\)
\(a_{11}=-0.053394108\) \(a_{12}=-0.804715548\) \(a_{13}=-0.571105690\) \(a_{14}=-0.162636736\) \(a_{15}=+0.399728933\)
\(a_{16}=+0.710866536\) \(a_{17}=+0.853863181\) \(a_{18}=+0.063489848\) \(a_{19}=+1.469209176\) \(a_{20}=-0.402630616\)
\(a_{21}=+0.460407286\) \(a_{22}=+0.016858660\) \(a_{23}=+1.422700427\) \(a_{24}=+0.536292747\) \(a_{25}=+0.200000000\)
\(a_{26}=+0.180319833\) \(a_{27}=-1.073554093\) \(a_{28}=-0.463749491\) \(a_{29}=+0.750128308\) \(a_{30}=-0.126209660\)
\(a_{31}=+1.801479053\) \(a_{32}=-0.824447780\) \(a_{33}=-0.047724779\) \(a_{34}=-0.269597150\) \(a_{35}=+0.230359771\)
\(a_{36}=+0.181037734\) \(a_{37}=-0.241350976\) \(a_{38}=-0.463885332\) \(a_{39}=-0.510466297\) \(a_{40}=+0.268328210\)
\(a_{41}=+0.214208631\) \(a_{42}=-0.145368142\) \(a_{43}=+1.577238432\) \(a_{44}=+0.048071220\) \(a_{45}=-0.089927452\)
\(a_{46}=-0.449200748\) \(a_{47}=-1.180960571\) \(a_{48}=+0.635387474\) \(a_{49}=-0.734671871\) \(a_{50}=-0.063147606\)
\(a_{51}=+0.763200867\) \(a_{52}=+0.514171857\) \(a_{53}=-1.214810884\) \(a_{54}=+0.338961945\) \(a_{55}=-0.023878570\)
\(a_{56}=+0.309060124\) \(a_{57}=+1.313210111\) \(a_{58}=-0.236844094\) \(a_{59}=-0.594128665\) \(a_{60}=-0.359879736\)
\(a_{61}=+0.724714939\) \(a_{62}=-0.568795597\) \(a_{63}=-0.103578342\) \(a_{64}=-0.450556952\) \(a_{65}=-0.255406222\)
\(a_{66}=+0.015068538\) \(a_{67}=-0.163806638\) \(a_{68}=-0.768741091\) \(a_{69}=+1.271639635\) \(a_{70}=-0.072733367\)
\(a_{71}=+0.990785619\) \(a_{72}=-0.120650321\) \(a_{73}=+0.780600172\) \(a_{74}=+0.076203699\) \(a_{75}=+0.178764213\)
\(a_{76}=-1.322742890\) \(a_{77}=-0.027503315\) \(a_{78}=+0.161173667\) \(a_{79}=-1.315546681\) \(a_{80}=+0.317909183\)
\(a_{81}=-0.758481373\) \(a_{82}=-0.067633832\) \(a_{83}=+1.534044154\) \(a_{84}=-0.414509069\) \(a_{85}=+0.381859218\)
\(a_{86}=-0.497994281\) \(a_{87}=+0.670480511\) \(a_{88}=-0.032036519\) \(a_{89}=+0.459246766\) \(a_{90}=+0.028393552\)
\(a_{91}=-0.294176613\) \(a_{92}=-1.280870652\) \(a_{93}=+1.610199962\) \(a_{94}=+0.372874342\) \(a_{95}=+0.657050168\)
\(a_{96}=-0.736908798\) \(a_{97}=-1.275882740\) \(a_{98}=+0.231964069\) \(a_{99}=+0.010736693\) \(a_{100}=-0.180061887\)

Showing 100 of 5000 available coefficients

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