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: \( 6.35122321676 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.882529158\) \(a_{3}=-1.529271349\) \(a_{4}=-0.221142285\) \(a_{5}=-0.447213596\)
\(a_{6}=-1.349626557\) \(a_{7}=+0.812392430\) \(a_{8}=-1.077693673\) \(a_{9}=+1.338670860\) \(a_{10}=-0.394679038\)
\(a_{11}=-0.787408139\) \(a_{12}=+0.338186561\) \(a_{13}=-0.643097191\) \(a_{14}=+0.716960007\) \(a_{15}=+0.683910939\)
\(a_{16}=-0.729953805\) \(a_{17}=-0.272322226\) \(a_{18}=+1.181416067\) \(a_{19}=-0.770317746\) \(a_{20}=+0.098897836\)
\(a_{21}=-1.242368468\) \(a_{22}=-0.694910642\) \(a_{23}=+1.305199536\) \(a_{24}=+1.648086057\) \(a_{25}=+0.200000000\)
\(a_{26}=-0.567552021\) \(a_{27}=-0.517919643\) \(a_{28}=-0.179654318\) \(a_{29}=-1.613009935\) \(a_{30}=+0.603571345\)
\(a_{31}=-0.002864576\) \(a_{32}=+0.433488156\) \(a_{33}=+1.204160707\) \(a_{34}=-0.240332305\) \(a_{35}=-0.363312940\)
\(a_{36}=-0.296036732\) \(a_{37}=+0.541468329\) \(a_{38}=-0.679827872\) \(a_{39}=+0.983470105\) \(a_{40}=+0.481959262\)
\(a_{41}=-1.075024860\) \(a_{42}=-1.096426396\) \(a_{43}=+0.209827756\) \(a_{44}=+0.174129229\) \(a_{45}=-0.598671807\)
\(a_{46}=+1.151876630\) \(a_{47}=-0.549337026\) \(a_{48}=+1.116297451\) \(a_{49}=-0.340018511\) \(a_{50}=+0.176505849\)
\(a_{51}=+0.416454514\) \(a_{52}=+0.142215939\) \(a_{53}=-0.386524714\) \(a_{54}=-0.457078914\) \(a_{55}=+0.352139587\)
\(a_{56}=-0.875509638\) \(a_{57}=+1.178024548\) \(a_{58}=-1.423529109\) \(a_{59}=-0.048031393\) \(a_{60}=-0.151241628\)
\(a_{61}=-0.983357982\) \(a_{62}=-0.002528072\) \(a_{63}=+1.087526072\) \(a_{64}=+1.112519742\) \(a_{65}=+0.287601807\)
\(a_{66}=+1.062706935\) \(a_{67}=+0.636794938\) \(a_{68}=+0.060221960\) \(a_{69}=-1.996004254\) \(a_{70}=-0.320634264\)
\(a_{71}=+0.311175614\) \(a_{72}=-1.442677118\) \(a_{73}=-0.175666737\) \(a_{74}=+0.477861586\) \(a_{75}=-0.305854270\)
\(a_{76}=+0.170349832\) \(a_{77}=-0.639684415\) \(a_{78}=+0.867941043\) \(a_{79}=+1.869980021\) \(a_{80}=+0.326445270\)
\(a_{81}=-0.546631204\) \(a_{82}=-0.948740756\) \(a_{83}=-1.370271867\) \(a_{84}=+0.274740200\) \(a_{85}=+0.121786219\)
\(a_{86}=+0.185179079\) \(a_{87}=+2.466729896\) \(a_{88}=+0.848584728\) \(a_{89}=-1.194799872\) \(a_{90}=-0.528345341\)
\(a_{91}=-0.522447295\) \(a_{92}=-0.288634940\) \(a_{93}=+0.004380955\) \(a_{94}=-0.484806067\) \(a_{95}=+0.344496229\)
\(a_{96}=-0.662920342\) \(a_{97}=-0.022332566\) \(a_{98}=-0.300076277\) \(a_{99}=-1.054080329\) \(a_{100}=-0.044228458\)

Showing 100 of 5000 available coefficients

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