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: \( 3.45422650357 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.058935765\) \(a_{3}=+1.584394669\) \(a_{4}=-0.996526576\) \(a_{5}=+0.217554830\)
\(a_{6}=+0.093377511\) \(a_{7}=-0.377964473\) \(a_{8}=-0.117666820\) \(a_{9}=+1.510306466\) \(a_{10}=+0.012821760\)
\(a_{11}=-0.660609807\) \(a_{12}=-1.578891394\) \(a_{13}=+0.731428382\) \(a_{14}=-0.022275625\) \(a_{15}=+0.344692713\)
\(a_{16}=+0.989591792\) \(a_{17}=-0.843781086\) \(a_{18}=+0.089011066\) \(a_{19}=+0.792546763\) \(a_{20}=-0.216799170\)
\(a_{21}=-0.598844896\) \(a_{22}=-0.038933544\) \(a_{23}=-0.110337003\) \(a_{24}=-0.186430683\) \(a_{25}=-0.952669896\)
\(a_{26}=+0.043107291\) \(a_{27}=+0.808526844\) \(a_{28}=+0.376651642\) \(a_{29}=+0.966000805\) \(a_{30}=+0.020314729\)
\(a_{31}=+0.104683245\) \(a_{32}=+0.175989169\) \(a_{33}=-1.046666656\) \(a_{34}=-0.049728884\) \(a_{35}=-0.082227997\)
\(a_{36}=-1.505060530\) \(a_{37}=+0.712752435\) \(a_{38}=+0.046709350\) \(a_{39}=+1.158871228\) \(a_{40}=-0.025598985\)
\(a_{41}=-1.480450473\) \(a_{42}=-0.035293382\) \(a_{43}=+0.446894773\) \(a_{44}=+0.658315229\) \(a_{45}=+0.328574467\)
\(a_{46}=-0.006502796\) \(a_{47}=-0.076487184\) \(a_{48}=+1.567903959\) \(a_{49}=+0.142857143\) \(a_{50}=-0.056146329\)
\(a_{51}=-1.336882254\) \(a_{52}=-0.728887821\) \(a_{53}=-1.443196876\) \(a_{54}=+0.047651148\) \(a_{55}=-0.143718855\)
\(a_{56}=+0.044473878\) \(a_{57}=+1.255706866\) \(a_{58}=+0.056931996\) \(a_{59}=+0.381777514\) \(a_{60}=-0.343495449\)
\(a_{61}=+1.197163374\) \(a_{62}=+0.006169587\) \(a_{63}=-0.570842187\) \(a_{64}=-0.979219735\) \(a_{65}=+0.159125778\)
\(a_{66}=-0.061686100\) \(a_{67}=+1.083103342\) \(a_{68}=+0.840850276\) \(a_{69}=-0.174817360\) \(a_{70}=-0.004846170\)
\(a_{71}=+0.137396014\) \(a_{72}=-0.177712960\) \(a_{73}=-0.813962994\) \(a_{74}=+0.042006610\) \(a_{75}=-1.509405104\)
\(a_{76}=-0.789793912\) \(a_{77}=+0.249687038\) \(a_{78}=+0.068298962\) \(a_{79}=+0.460528923\) \(a_{80}=+0.215290474\)
\(a_{81}=-0.229280845\) \(a_{82}=-0.087251481\) \(a_{83}=+1.239682761\) \(a_{84}=+0.596764853\) \(a_{85}=-0.183568651\)
\(a_{86}=+0.026338085\) \(a_{87}=+1.530526525\) \(a_{88}=+0.077731856\) \(a_{89}=-1.558244167\) \(a_{90}=+0.019364787\)
\(a_{91}=-0.276453943\) \(a_{92}=+0.109953756\) \(a_{93}=+0.165859575\) \(a_{94}=-0.004507831\) \(a_{95}=+0.172422377\)
\(a_{96}=+0.278836302\) \(a_{97}=-1.308193807\) \(a_{98}=+0.008419395\) \(a_{99}=-0.997723263\) \(a_{100}=+0.949360869\)

Showing 100 of 1228 available coefficients

Rows: Cols: