Properties

Level $46$
Weight $0$
Character 46.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 46 = 2 \cdot 23 \)
Weight: \( 0 \)
Character: 46.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.417338814038 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.282957567\) \(a_{4}=+0.500000000\) \(a_{5}=-0.524073416\)
\(a_{6}=-0.200081215\) \(a_{7}=-0.339118674\) \(a_{8}=+0.353553391\) \(a_{9}=-0.919935015\) \(a_{10}=-0.370575866\)
\(a_{11}=+0.475086891\) \(a_{12}=-0.141478784\) \(a_{13}=-0.193323800\) \(a_{14}=-0.239793114\) \(a_{15}=+0.148290539\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.591473102\) \(a_{18}=-0.650492287\) \(a_{19}=+1.101244059\) \(a_{20}=-0.262036708\)
\(a_{21}=+0.095956195\) \(a_{22}=+0.335937162\) \(a_{23}=-0.208514414\) \(a_{24}=-0.100040607\) \(a_{25}=-0.725347055\)
\(a_{26}=-0.136700570\) \(a_{27}=+0.543260141\) \(a_{28}=-0.169559337\) \(a_{29}=+1.375713175\) \(a_{30}=+0.104857246\)
\(a_{31}=+0.254962140\) \(a_{32}=+0.176776696\) \(a_{33}=-0.134429431\) \(a_{34}=+0.418234642\) \(a_{35}=+0.177723082\)
\(a_{36}=-0.459967507\) \(a_{37}=-1.173143547\) \(a_{38}=+0.778697142\) \(a_{39}=+0.054702431\) \(a_{40}=-0.185287932\)
\(a_{41}=-0.701172111\) \(a_{42}=+0.067851277\) \(a_{43}=-1.214922261\) \(a_{44}=+0.237543444\) \(a_{45}=+0.482113487\)
\(a_{46}=-0.147441959\) \(a_{47}=-1.526367033\) \(a_{48}=-0.070739398\) \(a_{49}=-0.884998517\) \(a_{50}=-0.512897827\)
\(a_{51}=-0.167361783\) \(a_{52}=-0.096661910\) \(a_{53}=+1.188999666\) \(a_{54}=+0.384142919\) \(a_{55}=-0.248980402\)
\(a_{56}=-0.119896566\) \(a_{57}=-0.311605324\) \(a_{58}=+0.972776106\) \(a_{59}=+0.933655175\) \(a_{60}=+0.074145250\)
\(a_{61}=+0.758402318\) \(a_{62}=+0.180285462\) \(a_{63}=+0.311967164\) \(a_{64}=+0.124999986\) \(a_{65}=+0.101315864\)
\(a_{66}=-0.095055962\) \(a_{67}=-0.091538417\) \(a_{68}=+0.295736520\) \(a_{69}=+0.059000722\) \(a_{70}=+0.125669250\)
\(a_{71}=-0.298362087\) \(a_{72}=-0.325246133\) \(a_{73}=+1.128055088\) \(a_{74}=-0.829537718\) \(a_{75}=+0.205242048\)
\(a_{76}=+0.550622187\) \(a_{77}=-0.161110778\) \(a_{78}=+0.038680461\) \(a_{79}=+1.260758537\) \(a_{80}=-0.131018312\)
\(a_{81}=+0.766215632\) \(a_{82}=-0.495803360\) \(a_{83}=-0.752117622\) \(a_{84}=+0.047977732\) \(a_{85}=-0.309974759\)
\(a_{86}=-0.859079785\) \(a_{87}=-0.389268874\) \(a_{88}=+0.167968300\) \(a_{89}=-0.555425670\) \(a_{90}=+0.340905741\)
\(a_{91}=+0.065559471\) \(a_{92}=-0.104257322\) \(a_{93}=-0.072144190\) \(a_{94}=-1.079304517\) \(a_{95}=-0.577132624\)
\(a_{96}=-0.050020331\) \(a_{97}=+0.492146038\) \(a_{98}=-0.625788531\) \(a_{99}=-0.437049587\) \(a_{100}=-0.362673360\)

Showing 100 of 2000 available coefficients

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