Properties

Level $479$
Weight $0$
Character 479.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 479 \)
Weight: \( 0 \)
Character: 479.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 0.46381390954 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.788263901\) \(a_{3}=-1.111597124\) \(a_{4}=+2.197887767\) \(a_{5}=-1.579494100\)
\(a_{6}=-1.987829029\) \(a_{7}=-0.999489006\) \(a_{8}=+2.142139475\) \(a_{9}=+0.235648204\) \(a_{10}=-2.824552370\)
\(a_{11}=-1.637987486\) \(a_{12}=-2.443165820\) \(a_{13}=+0.787894124\) \(a_{14}=-1.787350047\) \(a_{15}=+1.755761123\)
\(a_{16}=+1.632823054\) \(a_{17}=-0.162669818\) \(a_{18}=+0.421401226\) \(a_{19}=+0.338856804\) \(a_{20}=-3.471550830\)
\(a_{21}=+1.111029124\) \(a_{22}=-2.929153813\) \(a_{23}=+0.092029763\) \(a_{24}=-2.381196194\) \(a_{25}=+1.494801754\)
\(a_{26}=+1.408962644\) \(a_{27}=+0.849651214\) \(a_{28}=-2.196764648\) \(a_{29}=+0.299524742\) \(a_{30}=+3.139764374\)
\(a_{31}=-0.515660139\) \(a_{32}=+0.777778996\) \(a_{33}=+1.820782276\) \(a_{34}=-0.290896504\) \(a_{35}=+1.578686965\)
\(a_{36}=+0.517928417\) \(a_{37}=-1.730330337\) \(a_{38}=+0.605965308\) \(a_{39}=-0.875820907\) \(a_{40}=-3.383496907\)
\(a_{41}=+0.265241280\) \(a_{42}=+1.986813216\) \(a_{43}=+0.390203347\) \(a_{44}=-3.600112737\) \(a_{45}=-0.372205042\)
\(a_{46}=+0.164573464\) \(a_{47}=-1.827076140\) \(a_{48}=-1.815041456\) \(a_{49}=-0.001021709\) \(a_{50}=+2.673100107\)
\(a_{51}=+0.180823274\) \(a_{52}=+1.731702979\) \(a_{53}=+0.491832542\) \(a_{54}=+1.519400600\) \(a_{55}=+2.587191544\)
\(a_{56}=-2.141044846\) \(a_{57}=-0.376672258\) \(a_{58}=+0.535629436\) \(a_{59}=-0.448982839\) \(a_{60}=+3.858966090\)
\(a_{61}=+1.674640431\) \(a_{62}=-0.922136446\) \(a_{63}=-0.235527813\) \(a_{64}=-0.241948873\) \(a_{65}=-1.244474130\)
\(a_{66}=+3.256039044\) \(a_{67}=+0.282427846\) \(a_{68}=-0.357529979\) \(a_{69}=-0.102300071\) \(a_{70}=+2.823108888\)
\(a_{71}=+0.154367857\) \(a_{72}=+0.504791475\) \(a_{73}=-0.670105878\) \(a_{74}=-3.094287391\) \(a_{75}=-1.661617359\)
\(a_{76}=+0.744769168\) \(a_{77}=+1.637150410\) \(a_{78}=-1.566198813\) \(a_{79}=-1.620601031\) \(a_{80}=-2.579034366\)
\(a_{81}=-1.180118133\) \(a_{82}=+0.474321420\) \(a_{83}=+0.816616484\) \(a_{84}=+2.441917396\) \(a_{85}=+0.256935992\)
\(a_{86}=+0.697786553\) \(a_{87}=-0.332950911\) \(a_{88}=-3.508797607\) \(a_{89}=+0.998332753\) \(a_{90}=-0.665600825\)
\(a_{91}=-0.787491555\) \(a_{92}=+0.202271158\) \(a_{93}=+0.573206311\) \(a_{94}=-3.267294502\) \(a_{95}=-0.535222221\)
\(a_{96}=-0.864576951\) \(a_{97}=-1.087301177\) \(a_{98}=-0.001827138\) \(a_{99}=-0.385988830\) \(a_{100}=+3.285406435\)

Showing 100 of 1360 available coefficients

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