Properties

Level $2$
Weight $0$
Character 2.1
Symmetry even
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 16.4041087751 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-0.240540312\) \(a_{4}=+0.500000000\) \(a_{5}=-0.894887398\)
\(a_{6}=+0.170087686\) \(a_{7}=-0.815881575\) \(a_{8}=-0.353553391\) \(a_{9}=-0.942140358\) \(a_{10}=+0.632780947\)
\(a_{11}=+1.481905277\) \(a_{12}=-0.120270156\) \(a_{13}=+1.420029465\) \(a_{14}=+0.576915394\) \(a_{15}=+0.215256494\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.342664388\) \(a_{18}=+0.666193836\) \(a_{19}=+0.262021596\) \(a_{20}=-0.447443699\)
\(a_{21}=+0.196252408\) \(a_{22}=-1.047865270\) \(a_{23}=+1.422713378\) \(a_{24}=+0.085043843\) \(a_{25}=-0.199176546\)
\(a_{26}=-1.004112464\) \(a_{27}=+0.467163048\) \(a_{28}=-0.407940787\) \(a_{29}=+1.334291481\) \(a_{30}=-0.152209326\)
\(a_{31}=-0.600683292\) \(a_{32}=-0.176776695\) \(a_{33}=-0.356457958\) \(a_{34}=+0.242300312\) \(a_{35}=+0.730122139\)
\(a_{36}=-0.471070179\) \(a_{37}=+0.466848083\) \(a_{38}=-0.185277247\) \(a_{39}=-0.341574330\) \(a_{40}=+0.316390474\)
\(a_{41}=-0.764912049\) \(a_{42}=-0.138771409\) \(a_{43}=+0.414888321\) \(a_{44}=+0.740952638\) \(a_{45}=+0.843109533\)
\(a_{46}=-1.006010277\) \(a_{47}=-0.564775651\) \(a_{48}=-0.060135078\) \(a_{49}=-0.334337256\) \(a_{50}=+0.140839086\)
\(a_{51}=+0.082424599\) \(a_{52}=+0.710014732\) \(a_{53}=+0.977902541\) \(a_{54}=-0.330334159\) \(a_{55}=-1.326138357\)
\(a_{56}=+0.288457697\) \(a_{57}=-0.063026756\) \(a_{58}=-0.943486554\) \(a_{59}=+1.188900370\) \(a_{60}=+0.107628247\)
\(a_{61}=-0.549902041\) \(a_{62}=+0.424747229\) \(a_{63}=+0.768674959\) \(a_{64}=+0.125000000\) \(a_{65}=-1.270766472\)
\(a_{66}=+0.252053839\) \(a_{67}=+0.174247286\) \(a_{68}=-0.171332194\) \(a_{69}=-0.342219920\) \(a_{70}=-0.516274316\)
\(a_{71}=+0.292159571\) \(a_{72}=+0.333096918\) \(a_{73}=+1.393887764\) \(a_{74}=-0.330111445\) \(a_{75}=+0.047909988\)
\(a_{76}=+0.131010798\) \(a_{77}=-1.209059211\) \(a_{78}=+0.241529525\) \(a_{79}=-1.132028804\) \(a_{80}=-0.223721849\)
\(a_{81}=+0.829768813\) \(a_{82}=+0.540874497\) \(a_{83}=+0.498433650\) \(a_{84}=+0.098126204\) \(a_{85}=+0.306646042\)
\(a_{86}=-0.293370345\) \(a_{87}=-0.320950889\) \(a_{88}=-0.523932635\) \(a_{89}=+0.757655243\) \(a_{90}=-0.596168468\)
\(a_{91}=-1.158575876\) \(a_{92}=+0.711356689\) \(a_{93}=+0.144488546\) \(a_{94}=+0.399356692\) \(a_{95}=-0.234479824\)
\(a_{96}=+0.042521921\) \(a_{97}=+1.028242827\) \(a_{98}=+0.236412141\) \(a_{99}=-1.396162769\) \(a_{100}=-0.099588273\)

Showing 100 of 1228 available coefficients

Rows: Cols: