Properties

Level $28$
Weight $0$
Character 28.1
Symmetry even
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 28 = 2^{2} \cdot 7 \)
Weight: \( 0 \)
Character: 28.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 4.26032526467 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-1.483540709\) \(a_{4}=+0.000000000\) \(a_{5}=-0.470224192\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+1.200893035\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.645042442\) \(a_{12}=+0.000000000\) \(a_{13}=+0.960207984\) \(a_{14}=+0.000000000\) \(a_{15}=+0.697596732\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.832902336\) \(a_{18}=+0.000000000\) \(a_{19}=+1.529993821\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.560725682\) \(a_{22}=+0.000000000\) \(a_{23}=-1.707543931\) \(a_{24}=+0.000000000\) \(a_{25}=-0.778889209\)
\(a_{26}=+0.000000000\) \(a_{27}=-0.298032996\) \(a_{28}=+0.000000000\) \(a_{29}=+1.774183448\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.589187673\) \(a_{32}=+0.000000000\) \(a_{33}=+0.956946721\) \(a_{34}=+0.000000000\) \(a_{35}=-0.177728039\)
\(a_{36}=+0.000000000\) \(a_{37}=+1.527949479\) \(a_{38}=+0.000000000\) \(a_{39}=-1.424507633\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.467868949\) \(a_{42}=+0.000000000\) \(a_{43}=-0.365171492\) \(a_{44}=+0.000000000\) \(a_{45}=-0.564688958\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.226311004\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=-1.235644521\) \(a_{52}=+0.000000000\) \(a_{53}=+0.529313619\) \(a_{54}=+0.000000000\) \(a_{55}=+0.303314561\)
\(a_{56}=+0.000000000\) \(a_{57}=-2.269808118\) \(a_{58}=+0.000000000\) \(a_{59}=-0.611297971\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.738322822\) \(a_{62}=+0.000000000\) \(a_{63}=+0.453894903\) \(a_{64}=+0.000000000\) \(a_{65}=-0.451513024\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.055473090\) \(a_{68}=+0.000000000\) \(a_{69}=+2.533210934\) \(a_{70}=+0.000000000\)
\(a_{71}=-1.319318573\) \(a_{72}=+0.000000000\) \(a_{73}=+0.938526253\) \(a_{74}=+0.000000000\) \(a_{75}=+1.155513849\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.243803127\) \(a_{78}=+0.000000000\) \(a_{79}=+1.476578378\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.758748953\) \(a_{82}=+0.000000000\) \(a_{83}=-0.065139619\) \(a_{84}=+0.000000000\) \(a_{85}=-0.391650828\)
\(a_{86}=+0.000000000\) \(a_{87}=-2.632073371\) \(a_{88}=+0.000000000\) \(a_{89}=-1.016639700\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.362924505\) \(a_{92}=+0.000000000\) \(a_{93}=+0.874083898\) \(a_{94}=+0.000000000\) \(a_{95}=-0.719440109\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.688138690\) \(a_{98}=+0.000000000\) \(a_{99}=-0.774626976\) \(a_{100}=+0.000000000\)

Showing 100 of 240 available coefficients

Rows: Cols: