Properties

Level $2$
Weight $0$
Character 2.1
Symmetry odd
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 28.8086394545 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-1.430160957\) \(a_{4}=+0.500000000\) \(a_{5}=+1.732332804\)
\(a_{6}=-1.011276511\) \(a_{7}=+0.713735252\) \(a_{8}=+0.353553391\) \(a_{9}=+1.045360362\) \(a_{10}=+1.224944273\)
\(a_{11}=-0.021891728\) \(a_{12}=-0.715080478\) \(a_{13}=-1.363208889\) \(a_{14}=+0.504687037\) \(a_{15}=-2.477514741\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.091052952\) \(a_{18}=+0.739181401\) \(a_{19}=+0.714563890\) \(a_{20}=+0.866166402\)
\(a_{21}=-1.020756292\) \(a_{22}=-0.015479790\) \(a_{23}=+1.216338862\) \(a_{24}=-0.505638255\) \(a_{25}=+2.000976945\)
\(a_{26}=-0.963934250\) \(a_{27}=-0.064872619\) \(a_{28}=+0.356867626\) \(a_{29}=-0.397212375\) \(a_{30}=-1.751867474\)
\(a_{31}=-0.020750685\) \(a_{32}=+0.176776695\) \(a_{33}=+0.031308695\) \(a_{34}=+0.064384160\) \(a_{35}=+1.236426991\)
\(a_{36}=+0.522680181\) \(a_{37}=+0.070720730\) \(a_{38}=+0.505272972\) \(a_{39}=+1.949608130\) \(a_{40}=+0.612472137\)
\(a_{41}=+0.983057295\) \(a_{42}=-0.721783696\) \(a_{43}=+0.318978157\) \(a_{44}=-0.010945864\) \(a_{45}=+1.810912048\)
\(a_{46}=+0.860081457\) \(a_{47}=-0.877144669\) \(a_{48}=-0.357540239\) \(a_{49}=-0.490581989\) \(a_{50}=+1.414904367\)
\(a_{51}=-0.130220377\) \(a_{52}=-0.681604445\) \(a_{53}=+0.932743837\) \(a_{54}=-0.045871869\) \(a_{55}=-0.037923759\)
\(a_{56}=+0.252343518\) \(a_{57}=-1.021941377\) \(a_{58}=-0.280871564\) \(a_{59}=+1.451886412\) \(a_{60}=-1.238757371\)
\(a_{61}=+0.848365176\) \(a_{62}=-0.014672950\) \(a_{63}=+0.746110542\) \(a_{64}=+0.125000000\) \(a_{65}=-2.361531478\)
\(a_{66}=+0.022138591\) \(a_{67}=+1.946477341\) \(a_{68}=+0.045526476\) \(a_{69}=-1.739560351\) \(a_{70}=+0.874285910\)
\(a_{71}=+0.367530547\) \(a_{72}=+0.369590701\) \(a_{73}=+0.627871658\) \(a_{74}=+0.050007108\) \(a_{75}=-2.861719102\)
\(a_{76}=+0.357281945\) \(a_{77}=-0.015624898\) \(a_{78}=+1.378581129\) \(a_{79}=+0.653234190\) \(a_{80}=+0.433083201\)
\(a_{81}=-0.952582075\) \(a_{82}=+0.695126479\) \(a_{83}=-1.199310475\) \(a_{84}=-0.510378146\) \(a_{85}=+0.157734016\)
\(a_{86}=+0.225551618\) \(a_{87}=+0.568077630\) \(a_{88}=-0.007739895\) \(a_{89}=-0.739292788\) \(a_{90}=+1.280508189\)
\(a_{91}=-0.972970241\) \(a_{92}=+0.608169431\) \(a_{93}=+0.029676820\) \(a_{94}=-0.620234944\) \(a_{95}=+1.237862468\)
\(a_{96}=-0.252819128\) \(a_{97}=-1.559614614\) \(a_{98}=-0.346893851\) \(a_{99}=-0.022884745\) \(a_{100}=+1.000488473\)

Showing 100 of 1228 available coefficients

Rows: Cols: