Properties

Level $107$
Weight $0$
Character 107.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 107 \)
Weight: \( 0 \)
Character: 107.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 0.581678563695 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.243496320\) \(a_{3}=-0.277110081\) \(a_{4}=-0.940709542\) \(a_{5}=-0.868800008\)
\(a_{6}=+0.067475285\) \(a_{7}=-0.326081197\) \(a_{8}=+0.472555632\) \(a_{9}=-0.923210003\) \(a_{10}=+0.211549605\)
\(a_{11}=-1.314020623\) \(a_{12}=+0.260680098\) \(a_{13}=+1.464386700\) \(a_{14}=+0.079399571\) \(a_{15}=+0.240753241\)
\(a_{16}=+0.825643985\) \(a_{17}=+0.166515343\) \(a_{18}=+0.224798238\) \(a_{19}=-1.152399222\) \(a_{20}=+0.817288457\)
\(a_{21}=+0.090360387\) \(a_{22}=+0.319959186\) \(a_{23}=-0.587525394\) \(a_{24}=-0.130949930\) \(a_{25}=-0.245186546\)
\(a_{26}=-0.356572773\) \(a_{27}=+0.532940880\) \(a_{28}=+0.306747693\) \(a_{29}=+1.389842470\) \(a_{30}=-0.058622528\)
\(a_{31}=+0.853871314\) \(a_{32}=-0.673596904\) \(a_{33}=+0.364128361\) \(a_{34}=-0.040545873\) \(a_{35}=+0.283299346\)
\(a_{36}=+0.868472459\) \(a_{37}=-1.128344911\) \(a_{38}=+0.280604970\) \(a_{39}=-0.405796317\) \(a_{40}=-0.410556337\)
\(a_{41}=-0.314996822\) \(a_{42}=-0.022002422\) \(a_{43}=-1.957370670\) \(a_{44}=+1.236111739\) \(a_{45}=+0.802084858\)
\(a_{46}=+0.143060272\) \(a_{47}=+0.305727269\) \(a_{48}=-0.228794271\) \(a_{49}=-0.893671053\) \(a_{50}=+0.059702022\)
\(a_{51}=-0.046143080\) \(a_{52}=-1.377562542\) \(a_{53}=-1.443112611\) \(a_{54}=-0.129769143\) \(a_{55}=+1.141621128\)
\(a_{56}=-0.154091506\) \(a_{57}=+0.319341442\) \(a_{58}=-0.338421527\) \(a_{59}=+0.625559432\) \(a_{60}=-0.226478871\)
\(a_{61}=-0.950163909\) \(a_{62}=-0.207914522\) \(a_{63}=+0.301041423\) \(a_{64}=-0.661625618\) \(a_{65}=-1.272259178\)
\(a_{66}=-0.088663916\) \(a_{67}=+1.394467649\) \(a_{68}=-0.156642572\) \(a_{69}=+0.162809210\) \(a_{70}=-0.068982349\)
\(a_{71}=+0.038982805\) \(a_{72}=-0.436268086\) \(a_{73}=+0.311453447\) \(a_{74}=+0.274747833\) \(a_{75}=+0.067943664\)
\(a_{76}=+1.084072943\) \(a_{77}=+0.428477418\) \(a_{78}=+0.098809911\) \(a_{79}=+0.527759016\) \(a_{80}=-0.717319501\)
\(a_{81}=+0.775526712\) \(a_{82}=+0.076700569\) \(a_{83}=-0.821184766\) \(a_{84}=-0.085002878\) \(a_{85}=-0.144668530\)
\(a_{86}=+0.476612555\) \(a_{87}=-0.385139361\) \(a_{88}=-0.620947845\) \(a_{89}=+0.986582329\) \(a_{90}=-0.195304712\)
\(a_{91}=-0.477508967\) \(a_{92}=+0.552690743\) \(a_{93}=-0.236616347\) \(a_{94}=-0.074443465\) \(a_{95}=+1.001204455\)
\(a_{96}=+0.186660490\) \(a_{97}=-0.335691417\) \(a_{98}=+0.217605613\) \(a_{99}=+1.213116984\) \(a_{100}=+0.230649328\)

Showing 100 of 418 available coefficients

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