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: \( 6.82352699542 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.502398590\) \(a_{3}=-1.444207782\) \(a_{4}=+1.257201524\) \(a_{5}=-0.447213596\)
\(a_{6}=+2.169775736\) \(a_{7}=-1.018677750\) \(a_{8}=-0.386419207\) \(a_{9}=+1.085736118\) \(a_{10}=+0.671893075\)
\(a_{11}=+0.274037541\) \(a_{12}=-1.815660224\) \(a_{13}=-0.600908926\) \(a_{14}=+1.530460015\) \(a_{15}=+0.645869355\)
\(a_{16}=-0.676645852\) \(a_{17}=+1.168504920\) \(a_{18}=-1.631208413\) \(a_{19}=+0.043731418\) \(a_{20}=-0.562237613\)
\(a_{21}=+1.471182334\) \(a_{22}=-0.411713614\) \(a_{23}=-0.856172327\) \(a_{24}=+0.558069627\) \(a_{25}=+0.199999998\)
\(a_{26}=+0.902804724\) \(a_{27}=-0.123820768\) \(a_{28}=-1.280683220\) \(a_{29}=+1.027713473\) \(a_{30}=-0.970353208\)
\(a_{31}=-0.462948282\) \(a_{32}=+1.403010981\) \(a_{33}=-0.395767146\) \(a_{34}=-1.755560144\) \(a_{35}=+0.455566541\)
\(a_{36}=+1.364989101\) \(a_{37}=+0.616659577\) \(a_{38}=-0.065702022\) \(a_{39}=+0.867837346\) \(a_{40}=+0.172811923\)
\(a_{41}=-0.499401602\) \(a_{42}=-2.210302260\) \(a_{43}=-1.268312320\) \(a_{44}=+0.344520426\) \(a_{45}=-0.485555972\)
\(a_{46}=+1.286312098\) \(a_{47}=+1.829164727\) \(a_{48}=+0.977217225\) \(a_{49}=+0.037704346\) \(a_{50}=-0.300479806\)
\(a_{51}=-1.687563915\) \(a_{52}=-0.755463726\) \(a_{53}=+0.949642226\) \(a_{54}=+0.186028148\) \(a_{55}=-0.122553312\)
\(a_{56}=+0.393636648\) \(a_{57}=-0.063157255\) \(a_{58}=-1.544035273\) \(a_{59}=-0.127999371\) \(a_{60}=+0.811987937\)
\(a_{61}=+0.853813791\) \(a_{62}=+0.695532847\) \(a_{63}=-1.106015224\) \(a_{64}=-1.431235869\) \(a_{65}=+0.268734637\)
\(a_{66}=+0.594600008\) \(a_{67}=+0.238263873\) \(a_{68}=+1.469046161\) \(a_{69}=+1.236490748\) \(a_{70}=-0.684442521\)
\(a_{71}=-1.340599384\) \(a_{72}=-0.419549301\) \(a_{73}=+0.928839840\) \(a_{74}=-0.926468481\) \(a_{75}=-0.288841556\)
\(a_{76}=+0.054979197\) \(a_{77}=-0.279155891\) \(a_{78}=-1.303837618\) \(a_{79}=+0.877400546\) \(a_{80}=+0.302605275\)
\(a_{81}=-0.906913167\) \(a_{82}=+0.750300230\) \(a_{83}=+0.180789750\) \(a_{84}=+1.849572864\) \(a_{85}=-0.522571395\)
\(a_{86}=+1.905510448\) \(a_{87}=-1.484231906\) \(a_{88}=-0.105893367\) \(a_{89}=-0.548745772\) \(a_{90}=+0.729498579\)
\(a_{91}=+0.612132557\) \(a_{92}=-1.076381156\) \(a_{93}=+0.668593511\) \(a_{94}=-2.748134449\) \(a_{95}=-0.019557291\)
\(a_{96}=-2.026239376\) \(a_{97}=+1.535362896\) \(a_{98}=-0.056646975\) \(a_{99}=+0.297532464\) \(a_{100}=+0.251440297\)

Showing 100 of 5000 available coefficients

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