Properties

Level $5$
Weight $0$
Character 5.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 13.0006638517 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.652402852\) \(a_{3}=-0.299999596\) \(a_{4}=-0.574370519\) \(a_{5}=-0.447213595\)
\(a_{6}=+0.195720592\) \(a_{7}=-1.304443421\) \(a_{8}=+1.027123816\) \(a_{9}=-0.910000242\) \(a_{10}=+0.291763425\)
\(a_{11}=-1.806191388\) \(a_{12}=+0.172310924\) \(a_{13}=-0.967344102\) \(a_{14}=+0.851022608\) \(a_{15}=+0.134163898\)
\(a_{16}=-0.095727988\) \(a_{17}=+0.748195196\) \(a_{18}=+0.593686753\) \(a_{19}=+1.242662008\) \(a_{20}=+0.256866304\)
\(a_{21}=+0.391332501\) \(a_{22}=+1.178364413\) \(a_{23}=-0.670025326\) \(a_{24}=-0.308136730\) \(a_{25}=+0.200000000\)
\(a_{26}=+0.631098051\) \(a_{27}=+0.572999301\) \(a_{28}=+0.749233845\) \(a_{29}=-0.398249579\) \(a_{30}=-0.087528910\)
\(a_{31}=-0.233722378\) \(a_{32}=-0.964670604\) \(a_{33}=+0.541856687\) \(a_{34}=-0.488124679\) \(a_{35}=+0.583364832\)
\(a_{36}=+0.522677311\) \(a_{37}=+0.970707855\) \(a_{38}=-0.810716238\) \(a_{39}=+0.290202840\) \(a_{40}=-0.459343735\)
\(a_{41}=-0.062260371\) \(a_{42}=-0.255306439\) \(a_{43}=-1.320701831\) \(a_{44}=+1.037423085\) \(a_{45}=+0.406964480\)
\(a_{46}=+0.437126433\) \(a_{47}=-0.698490855\) \(a_{48}=+0.028718358\) \(a_{49}=+0.701572639\) \(a_{50}=-0.130480570\)
\(a_{51}=-0.224458256\) \(a_{52}=+0.555613934\) \(a_{53}=-0.222547949\) \(a_{54}=-0.373826378\) \(a_{55}=+0.807753345\)
\(a_{56}=-1.339824905\) \(a_{57}=-0.372798101\) \(a_{58}=+0.259819160\) \(a_{59}=+0.143307202\) \(a_{60}=-0.077059787\)
\(a_{61}=-0.402180035\) \(a_{62}=+0.152481147\) \(a_{63}=+1.187043838\) \(a_{64}=+0.725081826\) \(a_{65}=+0.432609409\)
\(a_{66}=-0.353508784\) \(a_{67}=-0.947438341\) \(a_{68}=-0.429741263\) \(a_{69}=+0.201007327\) \(a_{70}=-0.380588880\)
\(a_{71}=+1.122187769\) \(a_{72}=-0.934682922\) \(a_{73}=-0.554666195\) \(a_{74}=-0.633292573\) \(a_{75}=-0.059999919\)
\(a_{76}=-0.713748422\) \(a_{77}=+2.356074474\) \(a_{78}=-0.189329160\) \(a_{79}=+0.745016999\) \(a_{80}=+0.042810858\)
\(a_{81}=+0.738100684\) \(a_{82}=+0.040618843\) \(a_{83}=-1.182072029\) \(a_{84}=-0.224769851\) \(a_{85}=-0.334603063\)
\(a_{86}=+0.861629641\) \(a_{87}=+0.119474713\) \(a_{88}=-1.855182192\) \(a_{89}=-0.539088816\) \(a_{90}=-0.265504788\)
\(a_{91}=+1.261845650\) \(a_{92}=+0.384842794\) \(a_{93}=+0.070116619\) \(a_{94}=+0.455697426\) \(a_{95}=-0.555735346\)
\(a_{96}=+0.289400792\) \(a_{97}=-0.665427887\) \(a_{98}=-0.457707993\) \(a_{99}=+1.643634605\) \(a_{100}=-0.114874101\)

Showing 100 of 5000 available coefficients

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