Properties

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

Related objects

Downloads

Learn more about

Maass form invariants

Level: \( 7 \)
Weight: \( 0 \)
Character: 7.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 1.92464430511 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.337272144\) \(a_{3}=+0.794004883\) \(a_{4}=+0.788296788\) \(a_{5}=-0.265533600\)
\(a_{6}=-1.061800612\) \(a_{7}=+0.377964473\) \(a_{8}=+0.283104808\) \(a_{9}=-0.369556246\) \(a_{10}=+0.355090686\)
\(a_{11}=-0.384729729\) \(a_{12}=+0.625911499\) \(a_{13}=+0.811189443\) \(a_{14}=-0.505441361\) \(a_{15}=-0.210834975\)
\(a_{16}=-1.166884962\) \(a_{17}=-0.421222166\) \(a_{18}=+0.494197274\) \(a_{19}=+0.545018224\) \(a_{20}=-0.209319284\)
\(a_{21}=+0.300105637\) \(a_{22}=+0.514488350\) \(a_{23}=+1.177211108\) \(a_{24}=+0.224786600\) \(a_{25}=-0.929491907\)
\(a_{26}=-1.084781046\) \(a_{27}=-1.087434347\) \(a_{28}=+0.297948180\) \(a_{29}=-0.560794397\) \(a_{30}=+0.281943739\)
\(a_{31}=+0.697949894\) \(a_{32}=+1.277337947\) \(a_{33}=-0.305477284\) \(a_{34}=+0.563288670\) \(a_{35}=-0.100362267\)
\(a_{36}=-0.291320002\) \(a_{37}=-0.566297428\) \(a_{38}=-0.728837689\) \(a_{39}=+0.644088379\) \(a_{40}=-0.075173839\)
\(a_{41}=+1.147308270\) \(a_{42}=-0.401322909\) \(a_{43}=-0.258097172\) \(a_{44}=-0.303281210\) \(a_{45}=+0.098129600\)
\(a_{46}=-1.574251622\) \(a_{47}=+0.833190522\) \(a_{48}=-0.926512357\) \(a_{49}=+0.142857143\) \(a_{50}=+1.242983636\)
\(a_{51}=-0.334452457\) \(a_{52}=+0.639458032\) \(a_{53}=-0.536034147\) \(a_{54}=+1.454195661\) \(a_{55}=+0.102158670\)
\(a_{56}=+0.107003560\) \(a_{57}=+0.432747131\) \(a_{58}=+0.749934726\) \(a_{59}=-1.776894472\) \(a_{60}=-0.166200533\)
\(a_{61}=-0.804795229\) \(a_{62}=-0.933348952\) \(a_{63}=-0.139679132\) \(a_{64}=-0.541263494\) \(a_{65}=-0.215398053\)
\(a_{66}=+0.408506262\) \(a_{67}=+1.274411367\) \(a_{68}=-0.332048081\) \(a_{69}=+0.934711367\) \(a_{70}=+0.134211664\)
\(a_{71}=-0.605209863\) \(a_{72}=-0.104623150\) \(a_{73}=+1.449621397\) \(a_{74}=+0.757293776\) \(a_{75}=-0.738021113\)
\(a_{76}=+0.429636115\) \(a_{77}=-0.145414169\) \(a_{78}=-0.861321447\) \(a_{79}=+0.071701084\) \(a_{80}=+0.309847164\)
\(a_{81}=-0.493871935\) \(a_{82}=-1.534263391\) \(a_{83}=+0.019211396\) \(a_{84}=+0.236572310\) \(a_{85}=+0.111848638\)
\(a_{86}=+0.345146159\) \(a_{87}=-0.445273489\) \(a_{88}=-0.108918836\) \(a_{89}=+0.448398478\) \(a_{90}=-0.131225981\)
\(a_{91}=+0.306600790\) \(a_{92}=+0.927991735\) \(a_{93}=+0.554175624\) \(a_{94}=-1.114202476\) \(a_{95}=-0.144720651\)
\(a_{96}=+1.014212567\) \(a_{97}=-1.480904882\) \(a_{98}=-0.191038878\) \(a_{99}=+0.142179275\) \(a_{100}=-0.732715485\)

Showing 100 of 1228 available coefficients

Rows: Cols: