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: \( 6.05402838077 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.808009087\) \(a_{3}=+0.199946013\) \(a_{4}=+2.268896859\) \(a_{5}=-0.447213596\)
\(a_{6}=+0.361504209\) \(a_{7}=-0.819401622\) \(a_{8}=+2.294177052\) \(a_{9}=-0.960021592\) \(a_{10}=-0.808566245\)
\(a_{11}=+0.249073077\) \(a_{12}=+0.453656885\) \(a_{13}=+0.553873140\) \(a_{14}=-1.481485579\) \(a_{15}=-0.089418576\)
\(a_{16}=+1.878996099\) \(a_{17}=+0.386401100\) \(a_{18}=-1.735727762\) \(a_{19}=+0.543719886\) \(a_{20}=-1.014681522\)
\(a_{21}=-0.163836088\) \(a_{22}=+0.450326388\) \(a_{23}=+0.591774080\) \(a_{24}=+0.458711555\) \(a_{25}=+0.200000000\)
\(a_{26}=+1.001407671\) \(a_{27}=-0.391898503\) \(a_{28}=-1.859137767\) \(a_{29}=-1.307473433\) \(a_{30}=-0.161669597\)
\(a_{31}=+1.340358009\) \(a_{32}=+1.103064969\) \(a_{33}=+0.049801168\) \(a_{34}=+0.698616702\) \(a_{35}=+0.366447545\)
\(a_{36}=-2.178189979\) \(a_{37}=+0.029064404\) \(a_{38}=+0.983050505\) \(a_{39}=+0.110744721\) \(a_{40}=-1.025987178\)
\(a_{41}=+1.001265814\) \(a_{42}=-0.296217134\) \(a_{43}=-1.333383938\) \(a_{44}=+0.565121107\) \(a_{45}=+0.429334708\)
\(a_{46}=+1.069932914\) \(a_{47}=-1.560864162\) \(a_{48}=+0.375697779\) \(a_{49}=-0.328580982\) \(a_{50}=+0.361601817\)
\(a_{51}=+0.077259360\) \(a_{52}=+1.256681029\) \(a_{53}=+1.273970276\) \(a_{54}=-0.708556053\) \(a_{55}=-0.111388867\)
\(a_{56}=-1.879852396\) \(a_{57}=+0.108714622\) \(a_{58}=-2.363923849\) \(a_{59}=+0.164408577\) \(a_{60}=-0.202881525\)
\(a_{61}=+0.895452286\) \(a_{62}=+2.423379464\) \(a_{63}=+0.786643254\) \(a_{64}=+0.115355376\) \(a_{65}=-0.247699592\)
\(a_{66}=+0.090040958\) \(a_{67}=-1.664808282\) \(a_{68}=+0.876704247\) \(a_{69}=+0.118322868\) \(a_{70}=+0.662540510\)
\(a_{71}=-0.394320736\) \(a_{72}=-2.202459535\) \(a_{73}=-0.431819379\) \(a_{74}=+0.052548784\) \(a_{75}=+0.039989108\)
\(a_{76}=+1.233644462\) \(a_{77}=-0.204090873\) \(a_{78}=+0.200227324\) \(a_{79}=+0.430678787\) \(a_{80}=-0.840312648\)
\(a_{81}=+0.881663277\) \(a_{82}=+1.810297584\) \(a_{83}=-0.599547998\) \(a_{84}=-0.371727416\) \(a_{85}=-0.172803485\)
\(a_{86}=-2.410771673\) \(a_{87}=-0.261424091\) \(a_{88}=+0.571417735\) \(a_{89}=+1.736598339\) \(a_{90}=+0.776241063\)
\(a_{91}=-0.453844547\) \(a_{92}=+1.342674341\) \(a_{93}=+0.267999226\) \(a_{94}=-2.822056561\) \(a_{95}=-0.243158922\)
\(a_{96}=+0.220553417\) \(a_{97}=-0.746455247\) \(a_{98}=-0.594077368\) \(a_{99}=-0.239115576\) \(a_{100}=+0.453779340\)

Showing 100 of 5000 available coefficients

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