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: \( 25.5339642269 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.866235673\) \(a_{4}=+0.500000000\) \(a_{5}=+0.138108566\)
\(a_{6}=-0.612521118\) \(a_{7}=+0.835367694\) \(a_{8}=+0.353553391\) \(a_{9}=-0.249635759\) \(a_{10}=+0.097657504\)
\(a_{11}=-1.674178380\) \(a_{12}=-0.433117836\) \(a_{13}=+0.709810251\) \(a_{14}=+0.590694162\) \(a_{15}=-0.119634567\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.676867541\) \(a_{18}=-0.176519138\) \(a_{19}=+1.580312194\) \(a_{20}=+0.069054283\)
\(a_{21}=-0.723625297\) \(a_{22}=-1.183822886\) \(a_{23}=+0.516087750\) \(a_{24}=-0.306260559\) \(a_{25}=-0.980926024\)
\(a_{26}=+0.501911642\) \(a_{27}=+1.082479073\) \(a_{28}=+0.417683847\) \(a_{29}=+1.545981991\) \(a_{30}=-0.084594413\)
\(a_{31}=+0.921468876\) \(a_{32}=+0.176776695\) \(a_{33}=+1.450233035\) \(a_{34}=+0.478617629\) \(a_{35}=+0.115371434\)
\(a_{36}=-0.124817880\) \(a_{37}=-0.086628476\) \(a_{38}=+1.117449469\) \(a_{39}=-0.614862960\) \(a_{40}=+0.048828752\)
\(a_{41}=+1.132663231\) \(a_{42}=-0.511680354\) \(a_{43}=+0.025802168\) \(a_{44}=-0.837089190\) \(a_{45}=-0.034476837\)
\(a_{46}=+0.364929148\) \(a_{47}=+1.273356693\) \(a_{48}=-0.216558918\) \(a_{49}=-0.302160815\) \(a_{50}=-0.693619443\)
\(a_{51}=-0.586326810\) \(a_{52}=+0.354905126\) \(a_{53}=+0.407248664\) \(a_{54}=+0.765428293\) \(a_{55}=-0.231218376\)
\(a_{56}=+0.295347081\) \(a_{57}=-1.368922797\) \(a_{58}=+1.093174349\) \(a_{59}=-0.814407716\) \(a_{60}=-0.059817283\)
\(a_{61}=+0.040509631\) \(a_{62}=+0.651576891\) \(a_{63}=-0.208537649\) \(a_{64}=+0.125000000\) \(a_{65}=+0.098030876\)
\(a_{66}=+1.025469614\) \(a_{67}=-1.850259463\) \(a_{68}=+0.338433771\) \(a_{69}=-0.447053620\) \(a_{70}=+0.081579924\)
\(a_{71}=+0.866769949\) \(a_{72}=-0.088259569\) \(a_{73}=-0.321324744\) \(a_{74}=-0.061255583\) \(a_{75}=+0.849713114\)
\(a_{76}=+0.790156097\) \(a_{77}=-1.398554534\) \(a_{78}=-0.434773769\) \(a_{79}=-0.293661395\) \(a_{80}=+0.034527142\)
\(a_{81}=-0.688046228\) \(a_{82}=+0.800913852\) \(a_{83}=+1.785479735\) \(a_{84}=-0.361812648\) \(a_{85}=+0.093481206\)
\(a_{86}=+0.018244888\) \(a_{87}=-1.339184750\) \(a_{88}=-0.591911443\) \(a_{89}=+0.320511509\) \(a_{90}=-0.024378805\)
\(a_{91}=+0.592952553\) \(a_{92}=+0.258043875\) \(a_{93}=-0.798209211\) \(a_{94}=+0.900399153\) \(a_{95}=+0.218254651\)
\(a_{96}=-0.153130280\) \(a_{97}=-0.092088430\) \(a_{98}=-0.213659961\) \(a_{99}=+0.417934791\) \(a_{100}=-0.490463012\)

Showing 100 of 1228 available coefficients

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