Properties

Level $5$
Weight $0$
Character 5.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 8.82074088495 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.120398814\) \(a_{3}=+1.535312837\) \(a_{4}=-0.985504126\) \(a_{5}=+0.447213595\)
\(a_{6}=-0.184849845\) \(a_{7}=+0.867258135\) \(a_{8}=+0.239052342\) \(a_{9}=+1.357185509\) \(a_{10}=-0.053843987\)
\(a_{11}=+1.461672304\) \(a_{12}=-1.513057135\) \(a_{13}=+0.659253789\) \(a_{14}=-0.104416851\) \(a_{15}=+0.686612774\)
\(a_{16}=+0.956722507\) \(a_{17}=-1.017487370\) \(a_{18}=-0.163403526\) \(a_{19}=-0.366713814\) \(a_{20}=-0.440730843\)
\(a_{21}=+1.331512547\) \(a_{22}=-0.175983612\) \(a_{23}=-0.420619681\) \(a_{24}=+0.367020130\) \(a_{25}=+0.200000000\)
\(a_{26}=-0.079373375\) \(a_{27}=+0.548391497\) \(a_{28}=-0.854686469\) \(a_{29}=-0.851504619\) \(a_{30}=-0.082667364\)
\(a_{31}=+0.187910327\) \(a_{32}=-0.354240598\) \(a_{33}=+2.244124252\) \(a_{34}=+0.122504273\) \(a_{35}=+0.387849629\)
\(a_{36}=-1.337511918\) \(a_{37}=-1.161744215\) \(a_{38}=+0.044151908\) \(a_{39}=+1.012160806\) \(a_{40}=+0.106907458\)
\(a_{41}=-0.862132904\) \(a_{42}=-0.160312532\) \(a_{43}=+1.117264721\) \(a_{44}=-1.440484086\) \(a_{45}=+0.606951811\)
\(a_{46}=+0.050642111\) \(a_{47}=+0.666175565\) \(a_{48}=+1.468868347\) \(a_{49}=-0.247863328\) \(a_{50}=-0.024079763\)
\(a_{51}=-1.562161422\) \(a_{52}=-0.649697329\) \(a_{53}=-0.317176892\) \(a_{54}=-0.066025686\) \(a_{55}=+0.653679726\)
\(a_{56}=+0.207320089\) \(a_{57}=-0.563020427\) \(a_{58}=+0.102520146\) \(a_{59}=+1.607554619\) \(a_{60}=-0.676659722\)
\(a_{61}=-0.094115576\) \(a_{62}=-0.022624181\) \(a_{63}=+1.177030172\) \(a_{64}=-0.914072359\) \(a_{65}=+0.294827258\)
\(a_{66}=-0.270189899\) \(a_{67}=-0.740207689\) \(a_{68}=+1.002738001\) \(a_{69}=-0.645782796\) \(a_{70}=-0.046696635\)
\(a_{71}=-0.291129712\) \(a_{72}=+0.324438375\) \(a_{73}=-1.702766415\) \(a_{74}=+0.139872626\) \(a_{75}=+0.307062567\)
\(a_{76}=+0.361397977\) \(a_{77}=+1.267647195\) \(a_{78}=-0.121862961\) \(a_{79}=+0.866786154\) \(a_{80}=+0.427859312\)
\(a_{81}=-0.515233004\) \(a_{82}=+0.103799779\) \(a_{83}=+0.671674508\) \(a_{84}=-1.312211108\) \(a_{85}=-0.455034185\)
\(a_{86}=-0.134517348\) \(a_{87}=-1.307325972\) \(a_{88}=+0.349416188\) \(a_{89}=+0.130762754\) \(a_{90}=-0.073076278\)
\(a_{91}=+0.571743212\) \(a_{92}=+0.414522431\) \(a_{93}=+0.288501137\) \(a_{94}=-0.080206748\) \(a_{95}=-0.163999403\)
\(a_{96}=-0.543870138\) \(a_{97}=-0.807579865\) \(a_{98}=+0.029842451\) \(a_{99}=+1.983760469\) \(a_{100}=-0.197100825\)

Showing 100 of 1228 available coefficients

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