Properties

Level $379$
Weight $0$
Character 379.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 379 \)
Weight: \( 0 \)
Character: 379.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.50081877119 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.709736742\) \(a_{3}=+0.629636273\) \(a_{4}=+1.923199698\) \(a_{5}=+1.865958881\)
\(a_{6}=-1.076512222\) \(a_{7}=-0.939927737\) \(a_{8}=-1.578428603\) \(a_{9}=-0.603558153\) \(a_{10}=-3.190298495\)
\(a_{11}=-0.642169452\) \(a_{12}=+1.210916309\) \(a_{13}=-0.838971159\) \(a_{14}=+1.607029113\) \(a_{15}=+1.174875418\)
\(a_{16}=+0.775497838\) \(a_{17}=-0.820892552\) \(a_{18}=+1.031925496\) \(a_{19}=+1.002375004\) \(a_{20}=+3.588611772\)
\(a_{21}=-0.591812567\) \(a_{22}=+1.097940552\) \(a_{23}=-0.347721953\) \(a_{24}=-0.993835954\) \(a_{25}=+2.481802675\)
\(a_{26}=+1.434419960\) \(a_{27}=-1.009658427\) \(a_{28}=-1.807669077\) \(a_{29}=-1.297072046\) \(a_{30}=-2.008727644\)
\(a_{31}=+1.047985171\) \(a_{32}=+0.252531554\) \(a_{33}=-0.404333231\) \(a_{34}=+1.403510131\) \(a_{35}=-1.753866787\)
\(a_{36}=-1.160762834\) \(a_{37}=-0.030377418\) \(a_{38}=-1.713797457\) \(a_{39}=-0.528246701\) \(a_{40}=-2.945283020\)
\(a_{41}=-0.123862736\) \(a_{42}=+1.011843832\) \(a_{43}=+0.111150307\) \(a_{44}=-1.235019989\) \(a_{45}=-1.126214689\)
\(a_{46}=+0.594513137\) \(a_{47}=+1.555257847\) \(a_{48}=+0.488281544\) \(a_{49}=-0.116535617\) \(a_{50}=-4.243229394\)
\(a_{51}=-0.516863786\) \(a_{52}=-1.613509278\) \(a_{53}=-1.398290942\) \(a_{54}=+1.726250037\) \(a_{55}=-1.198261722\)
\(a_{56}=+1.483609057\) \(a_{57}=+0.631131670\) \(a_{58}=+2.217651753\) \(a_{59}=+0.668367965\) \(a_{60}=+2.259520183\)
\(a_{61}=+1.008250342\) \(a_{62}=-1.791778779\) \(a_{63}=+0.567301123\) \(a_{64}=-1.207260465\) \(a_{65}=-1.565485836\)
\(a_{66}=+0.691303243\) \(a_{67}=+1.506229541\) \(a_{68}=-1.578740180\) \(a_{69}=-0.218938405\) \(a_{70}=+2.998650410\)
\(a_{71}=-0.338172069\) \(a_{72}=+0.952673379\) \(a_{73}=-0.018161058\) \(a_{74}=+0.051937451\) \(a_{75}=+1.562633085\)
\(a_{76}=+1.927767395\) \(a_{77}=+0.603592917\) \(a_{78}=+0.903162830\) \(a_{79}=+0.807179531\) \(a_{80}=+1.447047051\)
\(a_{81}=-0.032159482\) \(a_{82}=+0.211772313\) \(a_{83}=-1.852057865\) \(a_{84}=-1.138174050\) \(a_{85}=-1.531751716\)
\(a_{86}=-0.190037435\) \(a_{87}=-0.816683721\) \(a_{88}=+1.013618510\) \(a_{89}=-0.617447295\) \(a_{90}=+1.925530694\)
\(a_{91}=+0.788572363\) \(a_{92}=-0.668738813\) \(a_{93}=+0.659849413\) \(a_{94}=-2.659081506\) \(a_{95}=+1.870390496\)
\(a_{96}=+0.159003275\) \(a_{97}=+0.332430006\) \(a_{98}=+0.199245178\) \(a_{99}=+0.387586661\) \(a_{100}=+4.773002678\)

Showing 100 of 1008 available coefficients

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