Properties

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

Related objects

Downloads

Learn more about

Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 8.81789729862 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.051124985\) \(a_{3}=-0.462694357\) \(a_{4}=+0.104863735\) \(a_{5}=-0.447213596\)
\(a_{6}=-0.486349600\) \(a_{7}=-0.426789468\) \(a_{8}=-0.940900094\) \(a_{9}=-0.785913932\) \(a_{10}=-0.470077384\)
\(a_{11}=-0.414535927\) \(a_{12}=-0.048519858\) \(a_{13}=+0.353746191\) \(a_{14}=-0.448609074\) \(a_{15}=+0.206923207\)
\(a_{16}=-1.093867332\) \(a_{17}=+0.432980640\) \(a_{18}=-0.826093769\) \(a_{19}=+1.834409378\) \(a_{20}=-0.046896488\)
\(a_{21}=+0.197473079\) \(a_{22}=-0.435729070\) \(a_{23}=-1.794162315\) \(a_{24}=+0.435349164\) \(a_{25}=+0.200000000\)
\(a_{26}=+0.371831459\) \(a_{27}=+0.826332299\) \(a_{28}=-0.044754738\) \(a_{29}=+0.302095853\) \(a_{30}=+0.217502153\)
\(a_{31}=-1.492176459\) \(a_{32}=-0.208891190\) \(a_{33}=+0.191803434\) \(a_{34}=+0.455116769\) \(a_{35}=+0.190866053\)
\(a_{36}=-0.082413870\) \(a_{37}=-1.667999174\) \(a_{38}=+1.928193535\) \(a_{39}=-0.163676366\) \(a_{40}=+0.420783314\)
\(a_{41}=-0.515033841\) \(a_{42}=+0.207568887\) \(a_{43}=+0.310155623\) \(a_{44}=-0.043469785\) \(a_{45}=+0.351471395\)
\(a_{46}=-1.885888837\) \(a_{47}=+0.389860227\) \(a_{48}=+0.506126242\) \(a_{49}=-0.817850750\) \(a_{50}=+0.210224997\)
\(a_{51}=-0.200337699\) \(a_{52}=+0.037095147\) \(a_{53}=+0.961144288\) \(a_{54}=+0.868578525\) \(a_{55}=+0.185386104\)
\(a_{56}=+0.401566250\) \(a_{57}=-0.848770873\) \(a_{58}=+0.317540504\) \(a_{59}=-0.903272684\) \(a_{60}=+0.021698736\)
\(a_{61}=-0.575454578\) \(a_{62}=-1.568463967\) \(a_{63}=+0.335419788\) \(a_{64}=+0.874296597\) \(a_{65}=-0.158200106\)
\(a_{66}=+0.201609382\) \(a_{67}=+1.106014193\) \(a_{68}=+0.045403967\) \(a_{69}=+0.830148779\) \(a_{70}=+0.200624077\)
\(a_{71}=-1.141466332\) \(a_{72}=+0.739466492\) \(a_{73}=+0.229565588\) \(a_{74}=-1.753275607\) \(a_{75}=-0.092538871\)
\(a_{76}=+0.192363019\) \(a_{77}=+0.176919568\) \(a_{78}=-0.172044318\) \(a_{79}=-0.152014280\) \(a_{80}=+0.489192342\)
\(a_{81}=+0.403574640\) \(a_{82}=-0.541364939\) \(a_{83}=-0.432204621\) \(a_{84}=+0.020707764\) \(a_{85}=-0.193634829\)
\(a_{86}=+0.326012324\) \(a_{87}=-0.139778046\) \(a_{88}=+0.390036893\) \(a_{89}=+0.631595647\) \(a_{90}=+0.369440364\)
\(a_{91}=-0.150975146\) \(a_{92}=-0.188142562\) \(a_{93}=+0.690421623\) \(a_{94}=+0.409791830\) \(a_{95}=-0.820372807\)
\(a_{96}=+0.096652764\) \(a_{97}=-0.455149490\) \(a_{98}=-0.859663335\) \(a_{99}=+0.325789569\) \(a_{100}=+0.020972705\)

Showing 100 of 5000 available coefficients

Rows: Cols: