Properties

Level $7$
Weight $0$
Character 7.1
Symmetry odd
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 7 \)
Weight: \( 0 \)
Character: 7.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 8.99915977043 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.512166989\) \(a_{3}=-1.675387341\) \(a_{4}=-0.737684975\) \(a_{5}=-0.255996014\)
\(a_{6}=-0.858078090\) \(a_{7}=+0.377964473\) \(a_{8}=-0.889984882\) \(a_{9}=+1.806922742\) \(a_{10}=-0.131112708\)
\(a_{11}=-0.408519467\) \(a_{12}=+1.235908069\) \(a_{13}=+1.373507455\) \(a_{14}=+0.193580926\) \(a_{15}=+0.428892480\)
\(a_{16}=+0.281864098\) \(a_{17}=-1.228617469\) \(a_{18}=+0.925446181\) \(a_{19}=+0.618058380\) \(a_{20}=+0.188844413\)
\(a_{21}=-0.633236893\) \(a_{22}=-0.209230186\) \(a_{23}=+0.538030484\) \(a_{24}=+1.491069405\) \(a_{25}=-0.934466041\)
\(a_{26}=+0.703465178\) \(a_{27}=-1.351908147\) \(a_{28}=-0.278818713\) \(a_{29}=-1.435545307\) \(a_{30}=+0.219664570\)
\(a_{31}=+1.631931005\) \(a_{32}=+1.034346368\) \(a_{33}=+0.684428344\) \(a_{34}=-0.629257310\) \(a_{35}=-0.096757398\)
\(a_{36}=-1.332939758\) \(a_{37}=+0.920073866\) \(a_{38}=+0.316549100\) \(a_{39}=-2.301157003\) \(a_{40}=+0.227832582\)
\(a_{41}=+1.346654117\) \(a_{42}=-0.324323033\) \(a_{43}=+0.112062754\) \(a_{44}=+0.301358673\) \(a_{45}=-0.462565019\)
\(a_{46}=+0.275561453\) \(a_{47}=+0.517606981\) \(a_{48}=-0.472231541\) \(a_{49}=+0.142857143\) \(a_{50}=-0.478602659\)
\(a_{51}=+2.058410154\) \(a_{52}=-1.013215813\) \(a_{53}=+0.171360261\) \(a_{54}=-0.692402725\) \(a_{55}=+0.104579355\)
\(a_{56}=-0.336382667\) \(a_{57}=-1.035487186\) \(a_{58}=-0.735238918\) \(a_{59}=+1.250137149\) \(a_{60}=-0.316387539\)
\(a_{61}=-0.221431573\) \(a_{62}=+0.835821190\) \(a_{63}=+0.682952602\) \(a_{64}=+0.247893968\) \(a_{65}=-0.351612433\)
\(a_{66}=+0.350541604\) \(a_{67}=-0.036053354\) \(a_{68}=+0.906332647\) \(a_{69}=-0.901409461\) \(a_{70}=-0.049555945\)
\(a_{71}=+0.355299573\) \(a_{72}=-1.608133923\) \(a_{73}=-0.304987183\) \(a_{74}=+0.471231462\) \(a_{75}=+1.565592576\)
\(a_{76}=-0.455932381\) \(a_{77}=-0.154405845\) \(a_{78}=-1.178576654\) \(a_{79}=-0.810590684\) \(a_{80}=-0.072156085\)
\(a_{81}=+0.458047053\) \(a_{82}=+0.689711785\) \(a_{83}=-0.961887308\) \(a_{84}=+0.467129342\) \(a_{85}=+0.314521174\)
\(a_{86}=+0.057394844\) \(a_{87}=+2.405094435\) \(a_{88}=+0.363576150\) \(a_{89}=+0.142796172\) \(a_{90}=-0.236910533\)
\(a_{91}=+0.519137022\) \(a_{92}=-0.396897004\) \(a_{93}=-2.734116547\) \(a_{94}=+0.265101209\) \(a_{95}=-0.158220481\)
\(a_{96}=-1.732930811\) \(a_{97}=+1.084222679\) \(a_{98}=+0.073166713\) \(a_{99}=-0.738163116\) \(a_{100}=+0.689341558\)

Showing 100 of 1228 available coefficients

Rows: Cols: