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: \( 23.779963169 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106778\) \(a_{3}=-1.855127447\) \(a_{4}=+0.500000000\) \(a_{5}=+0.803572416\)
\(a_{6}=-1.311773192\) \(a_{7}=-0.437330379\) \(a_{8}=+0.353553386\) \(a_{9}=+2.441497844\) \(a_{10}=+0.568211502\)
\(a_{11}=+0.272530567\) \(a_{12}=-0.927563715\) \(a_{13}=+0.495705511\) \(a_{14}=-0.309239275\) \(a_{15}=-1.490729245\)
\(a_{16}=+0.249999995\) \(a_{17}=-1.198219811\) \(a_{18}=+1.726399674\) \(a_{19}=-0.321970412\) \(a_{20}=+0.401786204\)
\(a_{21}=+0.811303589\) \(a_{22}=+0.192708211\) \(a_{23}=-1.776290205\) \(a_{24}=-0.655886590\) \(a_{25}=-0.354271372\)
\(a_{26}=+0.350516727\) \(a_{27}=-2.674162216\) \(a_{28}=-0.218665187\) \(a_{29}=+0.152153870\) \(a_{30}=-1.054104753\)
\(a_{31}=+0.152287265\) \(a_{32}=+0.176776691\) \(a_{33}=-0.505578935\) \(a_{34}=-0.847269350\) \(a_{35}=-0.351426629\)
\(a_{36}=+1.220748911\) \(a_{37}=+0.071101821\) \(a_{38}=-0.227667461\) \(a_{39}=-0.919596899\) \(a_{40}=+0.284105748\)
\(a_{41}=+0.149045883\) \(a_{42}=+0.573678267\) \(a_{43}=-1.224071979\) \(a_{44}=+0.136265282\) \(a_{45}=+1.961920322\)
\(a_{46}=-1.256026843\) \(a_{47}=+0.094382246\) \(a_{48}=-0.463781853\) \(a_{49}=-0.808742140\) \(a_{50}=-0.250507688\)
\(a_{51}=+2.222850459\) \(a_{52}=+0.247852753\) \(a_{53}=-0.041620137\) \(a_{54}=-1.890918228\) \(a_{55}=+0.218998046\)
\(a_{56}=-0.154619636\) \(a_{57}=+0.597296149\) \(a_{58}=+0.107589033\) \(a_{59}=+0.334928386\) \(a_{60}=-0.745364616\)
\(a_{61}=+1.033904657\) \(a_{62}=+0.107683357\) \(a_{63}=-1.067741177\) \(a_{64}=+0.124999997\) \(a_{65}=+0.398335275\)
\(a_{66}=-0.357498292\) \(a_{67}=-0.883759811\) \(a_{68}=-0.599109900\) \(a_{69}=+3.295244712\) \(a_{70}=-0.248496151\)
\(a_{71}=-1.759162068\) \(a_{72}=+0.863199829\) \(a_{73}=-1.005481667\) \(a_{74}=+0.050276580\) \(a_{75}=+0.657218546\)
\(a_{76}=-0.160985205\) \(a_{77}=-0.119185896\) \(a_{78}=-0.650253200\) \(a_{79}=-0.298155400\) \(a_{80}=+0.200893100\)
\(a_{81}=+2.519413880\) \(a_{82}=+0.105391354\) \(a_{83}=-1.601621028\) \(a_{84}=+0.405651791\) \(a_{85}=-0.962856389\)
\(a_{86}=-0.865549593\) \(a_{87}=-0.282264820\) \(a_{88}=+0.096354105\) \(a_{89}=+1.454126059\) \(a_{90}=+1.387287157\)
\(a_{91}=-0.216787079\) \(a_{92}=-0.888145094\) \(a_{93}=-0.282512284\) \(a_{94}=+0.066738326\) \(a_{95}=-0.258726542\)
\(a_{96}=-0.327943292\) \(a_{97}=+0.591769620\) \(a_{98}=-0.571867049\) \(a_{99}=+0.665382792\) \(a_{100}=-0.177135684\)

Showing 100 of 1228 available coefficients

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