Properties

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

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 25.2639460547 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.002724204\) \(a_{4}=+0.500000000\) \(a_{5}=+0.260652404\)
\(a_{6}=-0.001926303\) \(a_{7}=-0.758380186\) \(a_{8}=+0.353553391\) \(a_{9}=-0.999992579\) \(a_{10}=+0.184309083\)
\(a_{11}=+0.789903265\) \(a_{12}=-0.001362102\) \(a_{13}=-0.811342359\) \(a_{14}=-0.536255772\) \(a_{15}=-0.000710070\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.226722755\) \(a_{18}=-0.707101534\) \(a_{19}=+0.001200540\) \(a_{20}=+0.130326202\)
\(a_{21}=+0.002065982\) \(a_{22}=+0.558545955\) \(a_{23}=+1.375469374\) \(a_{24}=-0.000963152\) \(a_{25}=-0.932060324\)
\(a_{26}=-0.573705684\) \(a_{27}=+0.005448388\) \(a_{28}=-0.379190093\) \(a_{29}=-1.922880227\) \(a_{30}=-0.000502096\)
\(a_{31}=-1.704625930\) \(a_{32}=+0.176776695\) \(a_{33}=-0.002151858\) \(a_{34}=-0.867423979\) \(a_{35}=-0.197673619\)
\(a_{36}=-0.499996289\) \(a_{37}=-0.211459873\) \(a_{38}=+0.000848910\) \(a_{39}=+0.002210262\) \(a_{40}=+0.092154541\)
\(a_{41}=+0.280577401\) \(a_{42}=+0.001460870\) \(a_{43}=-1.266007202\) \(a_{44}=+0.394951633\) \(a_{45}=-0.260650470\)
\(a_{46}=+0.972603721\) \(a_{47}=+0.176769073\) \(a_{48}=-0.000681051\) \(a_{49}=-0.424859494\) \(a_{50}=-0.659066176\)
\(a_{51}=+0.003341843\) \(a_{52}=-0.405671180\) \(a_{53}=+1.314255817\) \(a_{54}=+0.003852592\) \(a_{55}=+0.205890185\)
\(a_{56}=-0.268127886\) \(a_{57}=-0.000003271\) \(a_{58}=-1.359681648\) \(a_{59}=+0.569136443\) \(a_{60}=-0.000355035\)
\(a_{61}=+1.181125698\) \(a_{62}=-1.205352554\) \(a_{63}=+0.758374558\) \(a_{64}=+0.125000000\) \(a_{65}=-0.211478337\)
\(a_{66}=-0.001521593\) \(a_{67}=-0.048668992\) \(a_{68}=-0.613361377\) \(a_{69}=-0.003747059\) \(a_{70}=-0.139776356\)
\(a_{71}=+0.653431802\) \(a_{72}=-0.353550767\) \(a_{73}=+0.955462680\) \(a_{74}=-0.149524710\) \(a_{75}=+0.002539123\)
\(a_{76}=+0.000600270\) \(a_{77}=-0.599046985\) \(a_{78}=+0.001562891\) \(a_{79}=-1.150066076\) \(a_{80}=+0.065163101\)
\(a_{81}=+0.999977736\) \(a_{82}=+0.198398183\) \(a_{83}=+1.021736062\) \(a_{84}=+0.001032991\) \(a_{85}=-0.319748236\)
\(a_{86}=-0.895202277\) \(a_{87}=+0.005238318\) \(a_{88}=+0.279272978\) \(a_{89}=-0.999665169\) \(a_{90}=-0.184307715\)
\(a_{91}=+0.615305969\) \(a_{92}=+0.687734687\) \(a_{93}=+0.004643749\) \(a_{94}=+0.124994610\) \(a_{95}=+0.000312924\)
\(a_{96}=-0.000481576\) \(a_{97}=+0.316427532\) \(a_{98}=-0.300421029\) \(a_{99}=-0.789897403\) \(a_{100}=-0.466030162\)

Showing 100 of 1228 available coefficients

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