Properties

Level $647$
Weight $0$
Character 647.1
Symmetry even
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 647 \)
Weight: \( 0 \)
Character: 647.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.7587468737 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.323486150\) \(a_{3}=+1.497872286\) \(a_{4}=-0.895356793\) \(a_{5}=+1.619101504\)
\(a_{6}=+0.484540971\) \(a_{7}=-1.815511319\) \(a_{8}=-0.613121546\) \(a_{9}=+1.243620840\) \(a_{10}=+0.523756917\)
\(a_{11}=+0.334821808\) \(a_{12}=-1.341130170\) \(a_{13}=-1.609712983\) \(a_{14}=-0.587292894\) \(a_{15}=+2.425207193\)
\(a_{16}=+0.697020361\) \(a_{17}=-0.468907165\) \(a_{18}=+0.402294080\) \(a_{19}=-0.373440595\) \(a_{20}=-1.449673397\)
\(a_{21}=-2.719403488\) \(a_{22}=+0.108310370\) \(a_{23}=+1.808485194\) \(a_{24}=-0.918377640\) \(a_{25}=+1.621489780\)
\(a_{26}=-0.520719656\) \(a_{27}=+0.364913050\) \(a_{28}=+1.625530304\) \(a_{29}=-0.232763670\) \(a_{30}=+0.784520877\)
\(a_{31}=-0.264674125\) \(a_{32}=+0.838598045\) \(a_{33}=+0.501520164\) \(a_{34}=-0.151684855\) \(a_{35}=-2.939497287\)
\(a_{36}=-1.113484577\) \(a_{37}=+1.273521562\) \(a_{38}=-0.120803029\) \(a_{39}=-2.411144120\) \(a_{40}=-0.992706174\)
\(a_{41}=-0.341368546\) \(a_{42}=-0.879689437\) \(a_{43}=+1.023080540\) \(a_{44}=-0.299784818\) \(a_{45}=+2.013548431\)
\(a_{46}=+0.585019790\) \(a_{47}=+1.040346651\) \(a_{48}=+1.044047442\) \(a_{49}=+2.296081221\) \(a_{50}=+0.524529482\)
\(a_{51}=-0.702363006\) \(a_{52}=+1.441267291\) \(a_{53}=+0.336373539\) \(a_{54}=+0.118044432\) \(a_{55}=+0.542110565\)
\(a_{56}=+1.113129144\) \(a_{57}=-0.559365997\) \(a_{58}=-0.075295982\) \(a_{59}=-0.668332317\) \(a_{60}=-2.171425586\)
\(a_{61}=-0.108764641\) \(a_{62}=-0.085618453\) \(a_{63}=-2.257807679\) \(a_{64}=-0.425745693\) \(a_{65}=-2.606288541\)
\(a_{66}=+0.162234910\) \(a_{67}=-1.314469537\) \(a_{68}=+0.419839115\) \(a_{69}=+2.708879714\) \(a_{70}=-0.950886577\)
\(a_{71}=-1.627265160\) \(a_{72}=-0.762490546\) \(a_{73}=+0.634960873\) \(a_{74}=+0.411966737\) \(a_{75}=+2.428784523\)
\(a_{76}=+0.334362471\) \(a_{77}=-0.607872885\) \(a_{78}=-0.779971320\) \(a_{79}=+0.890835896\) \(a_{80}=+1.128546899\)
\(a_{81}=-0.697027947\) \(a_{82}=-0.110428169\) \(a_{83}=+1.177667869\) \(a_{84}=+2.434836598\) \(a_{85}=-0.759208335\)
\(a_{86}=+0.330952314\) \(a_{87}=-0.348650472\) \(a_{88}=-0.205286493\) \(a_{89}=-0.998948095\) \(a_{90}=+0.651354896\)
\(a_{91}=+2.922451599\) \(a_{92}=-1.619239557\) \(a_{93}=-0.396447997\) \(a_{94}=+0.336537784\) \(a_{95}=-0.604638325\)
\(a_{96}=+1.256112665\) \(a_{97}=-1.264301353\) \(a_{98}=+0.742750382\) \(a_{99}=+0.416391195\) \(a_{100}=-1.451811826\)

Showing 100 of 1696 available coefficients

Rows: Cols: