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: \( 10.7127069007 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+0.010657497\) \(a_{4}=+0.500000000\) \(a_{5}=+1.552651129\)
\(a_{6}=+0.007535988\) \(a_{7}=+0.756184095\) \(a_{8}=+0.353553391\) \(a_{9}=-0.999886418\) \(a_{10}=+1.097890143\)
\(a_{11}=-0.296753859\) \(a_{12}=+0.005328748\) \(a_{13}=-0.535384520\) \(a_{14}=+0.534702901\) \(a_{15}=+0.016547374\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.305615295\) \(a_{18}=-0.707026466\) \(a_{19}=+0.384741912\) \(a_{20}=+0.776325564\)
\(a_{21}=+0.008059030\) \(a_{22}=-0.209836666\) \(a_{23}=-1.103000559\) \(a_{24}=+0.003767994\) \(a_{25}=+1.410725527\)
\(a_{26}=-0.378574025\) \(a_{27}=-0.021313783\) \(a_{28}=+0.378092047\) \(a_{29}=-1.150010684\) \(a_{30}=+0.011700761\)
\(a_{31}=+0.455489908\) \(a_{32}=+0.176776695\) \(a_{33}=-0.003162653\) \(a_{34}=-0.216102648\) \(a_{35}=+1.174090088\)
\(a_{36}=-0.499943209\) \(a_{37}=-1.413301015\) \(a_{38}=+0.272053615\) \(a_{39}=-0.005705859\) \(a_{40}=+0.548945071\)
\(a_{41}=+0.512872000\) \(a_{42}=+0.005698594\) \(a_{43}=+0.433484568\) \(a_{44}=-0.148376929\) \(a_{45}=-1.552474775\)
\(a_{46}=-0.779939175\) \(a_{47}=+1.665171790\) \(a_{48}=+0.002664374\) \(a_{49}=-0.428185615\) \(a_{50}=+0.997533586\)
\(a_{51}=-0.003257094\) \(a_{52}=-0.267692260\) \(a_{53}=-0.356919942\) \(a_{54}=-0.015071119\) \(a_{55}=-0.460755216\)
\(a_{56}=+0.267351451\) \(a_{57}=+0.004100386\) \(a_{58}=-0.813180353\) \(a_{59}=+0.978736282\) \(a_{60}=+0.008273687\)
\(a_{61}=+0.762686744\) \(a_{62}=+0.322080003\) \(a_{63}=-0.756098206\) \(a_{64}=+0.125000000\) \(a_{65}=-0.831265380\)
\(a_{66}=-0.002236334\) \(a_{67}=-0.432601759\) \(a_{68}=-0.152807648\) \(a_{69}=-0.011755225\) \(a_{70}=+0.830207063\)
\(a_{71}=+1.783617739\) \(a_{72}=-0.353513233\) \(a_{73}=-0.524978863\) \(a_{74}=-0.999354731\) \(a_{75}=+0.015034803\)
\(a_{76}=+0.192370956\) \(a_{77}=-0.224400548\) \(a_{78}=-0.004034651\) \(a_{79}=-0.924583662\) \(a_{80}=+0.388162782\)
\(a_{81}=+0.999659266\) \(a_{82}=+0.362655269\) \(a_{83}=-0.051572143\) \(a_{84}=+0.004029515\) \(a_{85}=-0.474513934\)
\(a_{86}=+0.306519878\) \(a_{87}=-0.012256235\) \(a_{88}=-0.104918333\) \(a_{89}=+0.501054006\) \(a_{90}=-1.097765441\)
\(a_{91}=-0.404849258\) \(a_{92}=-0.551500281\) \(a_{93}=+0.004854381\) \(a_{94}=+1.177454268\) \(a_{95}=+0.597369961\)
\(a_{96}=+0.001883999\) \(a_{97}=+0.377958002\) \(a_{98}=-0.302772961\) \(a_{99}=+0.296720153\) \(a_{100}=+0.705362764\)

Showing 100 of 5000 available coefficients

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