Properties

Level $7$
Weight $0$
Character 7.1
Symmetry even
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 7 \)
Weight: \( 0 \)
Character: 7.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 7.35799566148 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.823816991\) \(a_{3}=+1.217160227\) \(a_{4}=+2.326308415\) \(a_{5}=-1.023614763\)
\(a_{6}=+2.219877502\) \(a_{7}=-0.377964473\) \(a_{8}=+2.418943823\) \(a_{9}=+0.481479017\) \(a_{10}=-1.866885997\)
\(a_{11}=+0.376952252\) \(a_{12}=+2.831490078\) \(a_{13}=-0.509614715\) \(a_{14}=-0.689338028\) \(a_{15}=-1.245903177\)
\(a_{16}=+2.085402428\) \(a_{17}=-0.906273753\) \(a_{18}=+0.878129613\) \(a_{19}=+0.780818028\) \(a_{20}=-2.381243638\)
\(a_{21}=-0.460043324\) \(a_{22}=+0.687491922\) \(a_{23}=-0.449398530\) \(a_{24}=+2.944242212\) \(a_{25}=+0.047787184\)
\(a_{26}=-0.929443975\) \(a_{27}=-0.631123117\) \(a_{28}=-0.879261934\) \(a_{29}=+1.546637150\) \(a_{30}=-2.272299384\)
\(a_{31}=-0.131469841\) \(a_{32}=+1.384448558\) \(a_{33}=+0.458811288\) \(a_{34}=-1.652877469\) \(a_{35}=+0.386890015\)
\(a_{36}=+1.120068690\) \(a_{37}=+1.448791393\) \(a_{38}=+1.424069185\) \(a_{39}=-0.620282762\) \(a_{40}=-2.476066609\)
\(a_{41}=-0.908678583\) \(a_{42}=-0.839034830\) \(a_{43}=+0.657904478\) \(a_{44}=+0.876907196\) \(a_{45}=-0.492849031\)
\(a_{46}=-0.819620675\) \(a_{47}=+0.282509095\) \(a_{48}=+2.538268892\) \(a_{49}=+0.142857143\) \(a_{50}=+0.087155078\)
\(a_{51}=-1.103080367\) \(a_{52}=-1.185520999\) \(a_{53}=+1.972217035\) \(a_{54}=-1.151053063\) \(a_{55}=-0.385853890\)
\(a_{56}=-0.914274827\) \(a_{57}=+0.950380648\) \(a_{58}=+2.820783113\) \(a_{59}=-0.991208106\) \(a_{60}=-2.898355046\)
\(a_{61}=+1.220016758\) \(a_{62}=-0.239776929\) \(a_{63}=-0.181981963\) \(a_{64}=+0.439578374\) \(a_{65}=+0.521649146\)
\(a_{66}=+0.836787823\) \(a_{67}=-0.917608753\) \(a_{68}=-2.108272258\) \(a_{69}=-0.546990017\) \(a_{70}=+0.705616582\)
\(a_{71}=+0.298825001\) \(a_{72}=+1.164670695\) \(a_{73}=-0.375131713\) \(a_{74}=+2.642330358\) \(a_{75}=+0.058164659\)
\(a_{76}=+1.816423548\) \(a_{77}=-0.142474559\) \(a_{78}=-1.131282240\) \(a_{79}=-0.853693376\) \(a_{80}=-2.134648713\)
\(a_{81}=-1.249656973\) \(a_{82}=-1.657263439\) \(a_{83}=+0.484021021\) \(a_{84}=-1.070202655\) \(a_{85}=+0.927675193\)
\(a_{86}=+1.199897365\) \(a_{87}=+1.882505224\) \(a_{88}=+0.911826321\) \(a_{89}=+0.558768319\) \(a_{90}=-0.898866436\)
\(a_{91}=+0.192616257\) \(a_{92}=-1.045439582\) \(a_{93}=-0.160019861\) \(a_{94}=+0.515244888\) \(a_{95}=-0.799256861\)
\(a_{96}=+1.685095720\) \(a_{97}=+0.611880185\) \(a_{98}=+0.260545284\) \(a_{99}=+0.181494600\) \(a_{100}=+0.111167728\)

Showing 100 of 1228 available coefficients

Rows: Cols: