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: \( 28.4123841416 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=+0.399989199\) \(a_{4}=+0.500000000\) \(a_{5}=-1.498211762\)
\(a_{6}=-0.282835075\) \(a_{7}=-1.762685807\) \(a_{8}=-0.353553391\) \(a_{9}=-0.840008641\) \(a_{10}=+1.059395697\)
\(a_{11}=-0.374798536\) \(a_{12}=+0.199994600\) \(a_{13}=+0.209932156\) \(a_{14}=+1.246407087\) \(a_{15}=-0.599268523\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.426691192\) \(a_{18}=+0.593975806\) \(a_{19}=-1.409290302\) \(a_{20}=-0.749105881\)
\(a_{21}=-0.705055284\) \(a_{22}=+0.265022587\) \(a_{23}=+0.109358503\) \(a_{24}=-0.141417538\) \(a_{25}=+1.244638485\)
\(a_{26}=-0.148444451\) \(a_{27}=-0.735983582\) \(a_{28}=-0.881342903\) \(a_{29}=-0.714236407\) \(a_{30}=+0.423746836\)
\(a_{31}=-0.324039077\) \(a_{32}=-0.176776695\) \(a_{33}=-0.149915366\) \(a_{34}=+0.301716235\) \(a_{35}=+2.640876610\)
\(a_{36}=-0.420004320\) \(a_{37}=+0.731163975\) \(a_{38}=+0.996518729\) \(a_{39}=+0.083970595\) \(a_{40}=+0.529697848\)
\(a_{41}=+1.510839505\) \(a_{42}=+0.498549372\) \(a_{43}=-0.342078780\) \(a_{44}=-0.187399268\) \(a_{45}=+1.258510826\)
\(a_{46}=-0.077328139\) \(a_{47}=-0.848137910\) \(a_{48}=+0.099997300\) \(a_{49}=+2.107061254\) \(a_{50}=-0.880092313\)
\(a_{51}=-0.170671868\) \(a_{52}=+0.104966078\) \(a_{53}=-1.189559047\) \(a_{54}=+0.520418982\) \(a_{55}=+0.561527575\)
\(a_{56}=+0.623203544\) \(a_{57}=-0.563700899\) \(a_{58}=+0.505041407\) \(a_{59}=-0.186800619\) \(a_{60}=-0.299634261\)
\(a_{61}=-1.325009942\) \(a_{62}=+0.229130229\) \(a_{63}=+1.480671309\) \(a_{64}=+0.125000000\) \(a_{65}=-0.314522825\)
\(a_{66}=+0.106006172\) \(a_{67}=-0.081224498\) \(a_{68}=-0.213345596\) \(a_{69}=+0.043742220\) \(a_{70}=-1.867381759\)
\(a_{71}=+1.693683206\) \(a_{72}=+0.296987903\) \(a_{73}=+0.239245692\) \(a_{74}=-0.517011005\) \(a_{75}=+0.497841951\)
\(a_{76}=-0.704645151\) \(a_{77}=+0.660652060\) \(a_{78}=-0.059376177\) \(a_{79}=-0.562440030\) \(a_{80}=-0.374552941\)
\(a_{81}=+0.545623157\) \(a_{82}=-1.068324859\) \(a_{83}=+1.311455447\) \(a_{84}=-0.352527642\) \(a_{85}=+0.639273763\)
\(a_{86}=+0.241886225\) \(a_{87}=-0.285686849\) \(a_{88}=+0.132511293\) \(a_{89}=-0.310045288\) \(a_{90}=-0.889901539\)
\(a_{91}=-0.370044432\) \(a_{92}=+0.054679252\) \(a_{93}=-0.129612131\) \(a_{94}=+0.599724068\) \(a_{95}=+2.111415307\)
\(a_{96}=-0.070708769\) \(a_{97}=-0.805688015\) \(a_{98}=-1.489917301\) \(a_{99}=+0.314834009\) \(a_{100}=+0.622319243\)

Showing 100 of 1228 available coefficients

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