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: \( 7.58531840144 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.568990765\) \(a_{3}=+0.297080854\) \(a_{4}=+1.461732021\) \(a_{5}=+0.447213596\)
\(a_{6}=+0.466117117\) \(a_{7}=+1.277040099\) \(a_{8}=+0.724453277\) \(a_{9}=-0.911742966\) \(a_{10}=+0.701674002\)
\(a_{11}=+0.133416212\) \(a_{12}=+0.434252596\) \(a_{13}=-1.775149934\) \(a_{14}=+2.003664124\) \(a_{15}=+0.132858597\)
\(a_{16}=-0.325071521\) \(a_{17}=-0.306831819\) \(a_{18}=-1.430516293\) \(a_{19}=+0.631246247\) \(a_{20}=+0.653706432\)
\(a_{21}=+0.379384167\) \(a_{22}=+0.209328807\) \(a_{23}=+0.113088842\) \(a_{24}=+0.215221200\) \(a_{25}=+0.200000010\)
\(a_{26}=-2.785193861\) \(a_{27}=-0.567942234\) \(a_{28}=+1.866690405\) \(a_{29}=+0.665751708\) \(a_{30}=+0.208453912\)
\(a_{31}=+1.050778353\) \(a_{32}=-1.234487490\) \(a_{33}=+0.039635402\) \(a_{34}=-0.481416292\) \(a_{35}=+0.571109695\)
\(a_{36}=-1.332723886\) \(a_{37}=+0.297389020\) \(a_{38}=+0.990419541\) \(a_{39}=-0.527363072\) \(a_{40}=+0.323985358\)
\(a_{41}=-1.063596241\) \(a_{42}=+0.595250256\) \(a_{43}=+0.439808010\) \(a_{44}=+0.195018751\) \(a_{45}=-0.407743852\)
\(a_{46}=+0.177435260\) \(a_{47}=+0.348812386\) \(a_{48}=-0.096572663\) \(a_{49}=+0.630831737\) \(a_{50}=+0.313798082\)
\(a_{51}=-0.091154167\) \(a_{52}=-2.594793438\) \(a_{53}=+0.337859115\) \(a_{54}=-0.891096120\) \(a_{55}=+0.059665544\)
\(a_{56}=+0.925155884\) \(a_{57}=+0.187531176\) \(a_{58}=+1.044558279\) \(a_{59}=+1.527255669\) \(a_{60}=+0.194203667\)
\(a_{61}=-1.256503742\) \(a_{62}=+1.648661527\) \(a_{63}=-1.164332323\) \(a_{64}=-1.611827952\) \(a_{65}=-0.793871187\)
\(a_{66}=+0.062187587\) \(a_{67}=+0.607921331\) \(a_{68}=-0.448505888\) \(a_{69}=+0.033596520\) \(a_{70}=+0.896065838\)
\(a_{71}=-0.776788876\) \(a_{72}=-0.660515181\) \(a_{73}=+1.413944534\) \(a_{74}=+0.466600667\) \(a_{75}=+0.059416163\)
\(a_{76}=+0.922712774\) \(a_{77}=+0.170377962\) \(a_{78}=-0.827427823\) \(a_{79}=-0.573738192\) \(a_{80}=-0.145376396\)
\(a_{81}=+0.743018186\) \(a_{82}=-1.668772650\) \(a_{83}=+0.072333296\) \(a_{84}=+0.554557872\) \(a_{85}=-0.137219083\)
\(a_{86}=+0.690054887\) \(a_{87}=+0.197781144\) \(a_{88}=+0.096655020\) \(a_{89}=+0.418093552\) \(a_{90}=-0.639747372\)
\(a_{91}=-2.266936382\) \(a_{92}=+0.165305570\) \(a_{93}=+0.312165912\) \(a_{94}=+0.547283124\) \(a_{95}=+0.282301904\)
\(a_{96}=-0.366742614\) \(a_{97}=+1.320145565\) \(a_{98}=+0.989768661\) \(a_{99}=-0.121641292\) \(a_{100}=+0.292346402\)

Showing 100 of 5000 available coefficients

Rows: Cols: