Properties

Level $661$
Weight $0$
Character 661.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 661 \)
Weight: \( 0 \)
Character: 661.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.6995593124 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.985073709\) \(a_{3}=+0.473795062\) \(a_{4}=-0.029629856\) \(a_{5}=+0.744809797\)
\(a_{6}=+0.466723124\) \(a_{7}=+0.518447866\) \(a_{8}=-1.014261318\) \(a_{9}=-0.775518326\) \(a_{10}=+0.733692404\)
\(a_{11}=-1.801245795\) \(a_{12}=-0.014038368\) \(a_{13}=+0.046310123\) \(a_{14}=+0.510709677\) \(a_{15}=+0.352887134\)
\(a_{16}=-0.969492449\) \(a_{17}=+0.667226182\) \(a_{18}=-0.763943042\) \(a_{19}=+1.136414069\) \(a_{20}=-0.022068831\)
\(a_{21}=+0.245637725\) \(a_{22}=-1.774359876\) \(a_{23}=+0.465748433\) \(a_{24}=-0.480551282\) \(a_{25}=-0.445258024\)
\(a_{26}=+0.045618934\) \(a_{27}=-0.841231454\) \(a_{28}=-0.015360822\) \(a_{29}=-0.879332482\) \(a_{30}=+0.347619671\)
\(a_{31}=+1.498678650\) \(a_{32}=+0.059239305\) \(a_{33}=-0.853420972\) \(a_{34}=+0.657267007\) \(a_{35}=+0.386145025\)
\(a_{36}=+0.022977830\) \(a_{37}=+1.254401451\) \(a_{38}=+1.119451734\) \(a_{39}=+0.021941524\) \(a_{40}=-0.755431812\)
\(a_{41}=-0.125820449\) \(a_{42}=+0.241971397\) \(a_{43}=+1.755545934\) \(a_{44}=+0.053370199\) \(a_{45}=-0.577613409\)
\(a_{46}=+0.458796776\) \(a_{47}=-1.252973756\) \(a_{48}=-0.459339854\) \(a_{49}=-0.731211803\) \(a_{50}=-0.438611910\)
\(a_{51}=+0.316128376\) \(a_{52}=-0.001371729\) \(a_{53}=+0.883877479\) \(a_{54}=-0.828675029\) \(a_{55}=-1.341585332\)
\(a_{56}=-0.525841579\) \(a_{57}=+0.538427045\) \(a_{58}=-0.866207770\) \(a_{59}=-0.734672508\) \(a_{60}=-0.010456458\)
\(a_{61}=-0.021867617\) \(a_{62}=+1.476309293\) \(a_{63}=-0.402066143\) \(a_{64}=+1.027847205\) \(a_{65}=+0.034491989\)
\(a_{66}=-0.840682357\) \(a_{67}=-0.456170768\) \(a_{68}=-0.019769524\) \(a_{69}=+0.220668543\) \(a_{70}=+0.380381557\)
\(a_{71}=-1.795916947\) \(a_{72}=+0.786578041\) \(a_{73}=+1.214552074\) \(a_{74}=+1.235677914\) \(a_{75}=-0.210960940\)
\(a_{76}=-0.033671845\) \(a_{77}=-0.933852763\) \(a_{78}=+0.021613833\) \(a_{79}=+0.006921413\) \(a_{80}=-0.722087457\)
\(a_{81}=+0.376947329\) \(a_{82}=-0.123942829\) \(a_{83}=-0.255344363\) \(a_{84}=-0.007277790\) \(a_{85}=+0.496956325\)
\(a_{86}=+1.729342765\) \(a_{87}=-0.416622897\) \(a_{88}=+1.826933737\) \(a_{89}=-0.173026127\) \(a_{90}=-0.568991993\)
\(a_{91}=+0.024009267\) \(a_{92}=-0.013799554\) \(a_{93}=+0.710065974\) \(a_{94}=-1.234271719\) \(a_{95}=+0.846412387\)
\(a_{96}=+0.028067795\) \(a_{97}=-0.670367575\) \(a_{98}=-0.720297905\) \(a_{99}=+1.396899501\) \(a_{100}=+0.013193352\)

Showing 100 of 1830 available coefficients

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