Properties

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

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 26.741527413 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-0.465804765\) \(a_{4}=+0.500000000\) \(a_{5}=-1.505777935\)
\(a_{6}=+0.329373708\) \(a_{7}=+1.371588129\) \(a_{8}=-0.353553391\) \(a_{9}=-0.783025921\) \(a_{10}=+1.064745789\)
\(a_{11}=-0.089083194\) \(a_{12}=-0.232902383\) \(a_{13}=+0.862679144\) \(a_{14}=-0.969859267\) \(a_{15}=+0.701398537\)
\(a_{16}=+0.250000000\) \(a_{17}=+1.114792909\) \(a_{18}=+0.553682938\) \(a_{19}=+0.711023461\) \(a_{20}=-0.752888968\)
\(a_{21}=-0.638892286\) \(a_{22}=+0.062991330\) \(a_{23}=+0.505329554\) \(a_{24}=+0.164686854\) \(a_{25}=+1.267367190\)
\(a_{26}=-0.610006273\) \(a_{27}=+0.830541970\) \(a_{28}=+0.685794065\) \(a_{29}=-1.182468749\) \(a_{30}=-0.495963662\)
\(a_{31}=-1.517219442\) \(a_{32}=-0.176776695\) \(a_{33}=+0.041495376\) \(a_{34}=-0.788277626\) \(a_{35}=-2.065307141\)
\(a_{36}=-0.391512960\) \(a_{37}=+0.398053732\) \(a_{38}=-0.502769511\) \(a_{39}=-0.401840056\) \(a_{40}=+0.532372894\)
\(a_{41}=-1.470234112\) \(a_{42}=+0.451765068\) \(a_{43}=-0.639291293\) \(a_{44}=-0.044541597\) \(a_{45}=+1.179063154\)
\(a_{46}=-0.357321954\) \(a_{47}=-0.681056000\) \(a_{48}=-0.116451191\) \(a_{49}=+0.881253997\) \(a_{50}=-0.896163934\)
\(a_{51}=-0.519275849\) \(a_{52}=+0.431339572\) \(a_{53}=+1.238546900\) \(a_{54}=-0.587281859\) \(a_{55}=+0.134139507\)
\(a_{56}=-0.484929634\) \(a_{57}=-0.331198116\) \(a_{58}=+0.836131671\) \(a_{59}=-1.675695463\) \(a_{60}=+0.350699269\)
\(a_{61}=+1.308980965\) \(a_{62}=+1.072836156\) \(a_{63}=-1.073989058\) \(a_{64}=+0.125000000\) \(a_{65}=-1.299003220\)
\(a_{66}=-0.029341662\) \(a_{67}=+0.140109787\) \(a_{68}=+0.557396454\) \(a_{69}=-0.235384914\) \(a_{70}=+1.460392685\)
\(a_{71}=-1.071751658\) \(a_{72}=+0.276841469\) \(a_{73}=-0.046295607\) \(a_{74}=-0.281466493\) \(a_{75}=-0.590345676\)
\(a_{76}=+0.355511731\) \(a_{77}=-0.122185451\) \(a_{78}=+0.284143829\) \(a_{79}=-0.035617154\) \(a_{80}=-0.376444484\)
\(a_{81}=+0.396155514\) \(a_{82}=+1.039612511\) \(a_{83}=+0.010719040\) \(a_{84}=-0.319446143\) \(a_{85}=-1.678630565\)
\(a_{86}=+0.452047208\) \(a_{87}=+0.550799578\) \(a_{88}=+0.031495665\) \(a_{89}=-0.380341046\) \(a_{90}=-0.833723552\)
\(a_{91}=+1.183240474\) \(a_{92}=+0.252664777\) \(a_{93}=+0.706728046\) \(a_{94}=+0.481579316\) \(a_{95}=-1.070643439\)
\(a_{96}=+0.082343427\) \(a_{97}=-0.971316267\) \(a_{98}=-0.623140677\) \(a_{99}=+0.069754450\) \(a_{100}=+0.633683595\)

Showing 100 of 1228 available coefficients

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