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: \( 7.98654905098 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.292643554\) \(a_{3}=+0.933232034\) \(a_{4}=+0.670927359\) \(a_{5}=+0.447213595\)
\(a_{6}=-1.206336374\) \(a_{7}=-1.172349090\) \(a_{8}=+0.425373628\) \(a_{9}=-0.129077970\) \(a_{10}=-0.578087772\)
\(a_{11}=-1.032746663\) \(a_{12}=+0.626130904\) \(a_{13}=-0.756202952\) \(a_{14}=+1.515429495\) \(a_{15}=+0.417354054\)
\(a_{16}=-1.220783838\) \(a_{17}=-1.090799968\) \(a_{18}=+0.166851807\) \(a_{19}=+1.202508406\) \(a_{20}=+0.300047836\)
\(a_{21}=-1.094073726\) \(a_{22}=+1.334973317\) \(a_{23}=-1.322128244\) \(a_{24}=+0.396972296\) \(a_{25}=+0.199951172\)
\(a_{26}=+0.977500872\) \(a_{27}=-1.053691732\) \(a_{28}=-0.786561078\) \(a_{29}=-0.023695915\) \(a_{30}=-0.539490027\)
\(a_{31}=+1.084003857\) \(a_{32}=+1.152664731\) \(a_{33}=-0.963792269\) \(a_{34}=+1.410015548\) \(a_{35}=-0.524290452\)
\(a_{36}=-0.086601942\) \(a_{37}=-0.248676147\) \(a_{38}=-1.554414739\) \(a_{39}=-0.705712821\) \(a_{40}=+0.190232872\)
\(a_{41}=+0.728125677\) \(a_{42}=+1.414247345\) \(a_{43}=+0.117895478\) \(a_{44}=-0.692897990\) \(a_{45}=-0.057725424\)
\(a_{46}=+1.709040548\) \(a_{47}=-0.509235919\) \(a_{48}=-1.139274631\) \(a_{49}=+0.374402431\) \(a_{50}=-0.258528725\)
\(a_{51}=-1.017969575\) \(a_{52}=-0.507357016\) \(a_{53}=+0.263674003\) \(a_{54}=+1.362047717\) \(a_{55}=-0.461858317\)
\(a_{56}=-0.498686386\) \(a_{57}=+1.122219365\) \(a_{58}=+0.030630372\) \(a_{59}=-0.369290550\) \(a_{60}=+0.280014253\)
\(a_{61}=+0.903025906\) \(a_{62}=-1.401230598\) \(a_{63}=+0.151324441\) \(a_{64}=-0.269200799\) \(a_{65}=-0.338184241\)
\(a_{66}=+1.245839865\) \(a_{67}=+0.978887979\) \(a_{68}=-0.731847542\) \(a_{69}=-1.233852428\) \(a_{70}=+0.677720669\)
\(a_{71}=-1.616515252\) \(a_{72}=-0.054906367\) \(a_{73}=-0.577665384\) \(a_{74}=+0.321449633\) \(a_{75}=+0.186646400\)
\(a_{76}=+0.806795788\) \(a_{77}=+1.210739609\) \(a_{78}=+0.912235113\) \(a_{79}=+1.362929499\) \(a_{80}=-0.545951089\)
\(a_{81}=-0.854260886\) \(a_{82}=-0.941206956\) \(a_{83}=-0.025817665\) \(a_{84}=-0.734044109\) \(a_{85}=-0.487820527\)
\(a_{86}=-0.152396909\) \(a_{87}=-0.022113734\) \(a_{88}=-0.439302948\) \(a_{89}=-0.086389250\) \(a_{90}=+0.074618101\)
\(a_{91}=+0.886533729\) \(a_{92}=-0.887052132\) \(a_{93}=+1.011626722\) \(a_{94}=+0.658261737\) \(a_{95}=+0.537777927\)
\(a_{96}=+1.075704618\) \(a_{97}=-1.050870642\) \(a_{98}=-0.483968831\) \(a_{99}=+0.133304838\) \(a_{100}=+0.134185470\)

Showing 100 of 5000 available coefficients

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