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: \( 11.6923207345 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.172025835\) \(a_{3}=-0.184338213\) \(a_{4}=-0.970407112\) \(a_{5}=-0.447213595\)
\(a_{6}=-0.031710935\) \(a_{7}=+0.811030496\) \(a_{8}=-0.338960929\) \(a_{9}=-0.966019423\) \(a_{10}=-0.076932292\)
\(a_{11}=+0.457510022\) \(a_{12}=+0.178883113\) \(a_{13}=+1.040582606\) \(a_{14}=+0.139518199\) \(a_{15}=+0.082438555\)
\(a_{16}=+0.912097075\) \(a_{17}=+1.852594673\) \(a_{18}=-0.166180298\) \(a_{19}=-0.497102428\) \(a_{20}=+0.433979254\)
\(a_{21}=-0.149503913\) \(a_{22}=+0.078703545\) \(a_{23}=+0.632198659\) \(a_{24}=+0.062483452\) \(a_{25}=+0.199951172\)
\(a_{26}=+0.179007092\) \(a_{27}=+0.362412507\) \(a_{28}=-0.787029762\) \(a_{29}=-0.672468418\) \(a_{30}=+0.014181561\)
\(a_{31}=+0.375660827\) \(a_{32}=+0.495865190\) \(a_{33}=-0.084336580\) \(a_{34}=+0.318694146\) \(a_{35}=-0.362703864\)
\(a_{36}=+0.937432119\) \(a_{37}=-0.672146196\) \(a_{38}=-0.085514460\) \(a_{39}=-0.191819138\) \(a_{40}=+0.151587936\)
\(a_{41}=-1.401670568\) \(a_{42}=-0.025718535\) \(a_{43}=+1.511082384\) \(a_{44}=-0.443970980\) \(a_{45}=+0.432017020\)
\(a_{46}=+0.108754502\) \(a_{47}=+0.614439284\) \(a_{48}=-0.168134345\) \(a_{49}=-0.342229534\) \(a_{50}=+0.034405167\)
\(a_{51}=-0.341503992\) \(a_{52}=-1.009788762\) \(a_{53}=+0.553299413\) \(a_{54}=+0.062344314\) \(a_{55}=-0.204604703\)
\(a_{56}=-0.274907651\) \(a_{57}=+0.091634975\) \(a_{58}=-0.115681942\) \(a_{59}=+1.077495069\) \(a_{60}=-0.079998956\)
\(a_{61}=+1.379491530\) \(a_{62}=+0.064623354\) \(a_{63}=-0.783471211\) \(a_{64}=-0.826795426\) \(a_{65}=-0.465362698\)
\(a_{66}=-0.014508104\) \(a_{67}=+1.213658135\) \(a_{68}=-1.797771046\) \(a_{69}=-0.116538371\) \(a_{70}=-0.062394435\)
\(a_{71}=+1.224219737\) \(a_{72}=+0.327442841\) \(a_{73}=-0.650299542\) \(a_{74}=-0.115626511\) \(a_{75}=-0.036867643\)
\(a_{76}=+0.482391732\) \(a_{77}=+0.371054581\) \(a_{78}=-0.032997847\) \(a_{79}=+0.768203193\) \(a_{80}=-0.407902212\)
\(a_{81}=+0.899212949\) \(a_{82}=-0.241123550\) \(a_{83}=-1.815872290\) \(a_{84}=+0.145079660\) \(a_{85}=-0.828505524\)
\(a_{86}=+0.259945210\) \(a_{87}=+0.123961626\) \(a_{88}=-0.155078023\) \(a_{89}=+0.229345083\) \(a_{90}=+0.074318089\)
\(a_{91}=+0.843944227\) \(a_{92}=-0.613490075\) \(a_{93}=-0.069248643\) \(a_{94}=+0.105699430\) \(a_{95}=+0.222310961\)
\(a_{96}=-0.091406901\) \(a_{97}=+1.723561926\) \(a_{98}=-0.058872327\) \(a_{99}=-0.441963571\) \(a_{100}=-0.194081410\)

Showing 100 of 5000 available coefficients

Rows: Cols: