Properties

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

Related objects

Downloads

Learn more about

Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 11.181381958 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.729400414\) \(a_{3}=+0.026503518\) \(a_{4}=+1.990825792\) \(a_{5}=-0.447213595\)
\(a_{6}=-0.045835195\) \(a_{7}=-1.370446055\) \(a_{8}=-1.713534536\) \(a_{9}=-0.999297564\) \(a_{10}=+0.773411377\)
\(a_{11}=+0.410592239\) \(a_{12}=+0.052763887\) \(a_{13}=-0.375424749\) \(a_{14}=+2.370049975\) \(a_{15}=-0.011852733\)
\(a_{16}=+0.972561543\) \(a_{17}=-1.496342807\) \(a_{18}=+1.728185620\) \(a_{19}=+0.722809906\) \(a_{20}=-0.890324361\)
\(a_{21}=-0.036321641\) \(a_{22}=-0.710078387\) \(a_{23}=+1.413917851\) \(a_{24}=-0.045414693\) \(a_{25}=+0.200000000\)
\(a_{26}=+0.649259717\) \(a_{27}=-0.052988418\) \(a_{28}=-2.728319353\) \(a_{29}=+1.532259000\) \(a_{30}=+0.020498122\)
\(a_{31}=-0.422318511\) \(a_{32}=+0.031586200\) \(a_{33}=+0.010882139\) \(a_{34}=+2.587775871\) \(a_{35}=+0.612882108\)
\(a_{36}=-1.989427364\) \(a_{37}=-1.047785960\) \(a_{38}=-1.250027751\) \(a_{39}=-0.009950076\) \(a_{40}=+0.766315941\)
\(a_{41}=+1.133712320\) \(a_{42}=+0.062814661\) \(a_{43}=+0.127824988\) \(a_{44}=+0.817417619\) \(a_{45}=+0.446899456\)
\(a_{46}=-2.445230116\) \(a_{47}=+0.451411041\) \(a_{48}=+0.025776302\) \(a_{49}=+0.878122389\) \(a_{50}=-0.345880081\)
\(a_{51}=-0.039658350\) \(a_{52}=-0.747405272\) \(a_{53}=-0.222216729\) \(a_{54}=+0.091638197\) \(a_{55}=-0.183622431\)
\(a_{56}=+2.348306639\) \(a_{57}=+0.019157013\) \(a_{58}=-2.649889345\) \(a_{59}=+0.673087452\) \(a_{60}=-0.023596791\)
\(a_{61}=+0.196071731\) \(a_{62}=+0.730357739\) \(a_{63}=+1.369483404\) \(a_{64}=-1.027186731\) \(a_{65}=+0.167895052\)
\(a_{66}=-0.018819575\) \(a_{67}=+0.535234455\) \(a_{68}=-2.978957855\) \(a_{69}=+0.037473797\) \(a_{70}=-1.059918571\)
\(a_{71}=+0.366866873\) \(a_{72}=+1.712330887\) \(a_{73}=-0.495660887\) \(a_{74}=+1.812041474\) \(a_{75}=+0.005300704\)
\(a_{76}=+1.438988604\) \(a_{77}=-0.562694514\) \(a_{78}=+0.017207666\) \(a_{79}=-1.037815140\) \(a_{80}=-0.434942746\)
\(a_{81}=+0.997893184\) \(a_{82}=-1.960642554\) \(a_{83}=-0.534225046\) \(a_{84}=-0.072310065\) \(a_{85}=+0.669184848\)
\(a_{86}=-0.221060584\) \(a_{87}=+0.040610251\) \(a_{88}=-0.703563981\) \(a_{89}=+1.080073034\) \(a_{90}=-0.772868097\)
\(a_{91}=+0.514499351\) \(a_{92}=+2.814864116\) \(a_{93}=-0.011192906\) \(a_{94}=-0.780670436\) \(a_{95}=-0.323250452\)
\(a_{96}=+0.000837187\) \(a_{97}=+0.140718970\) \(a_{98}=-1.518625323\) \(a_{99}=-0.410303824\) \(a_{100}=+0.398165159\)

Showing 100 of 5000 available coefficients

Rows: Cols: