Properties

Level $28$
Weight $0$
Character 28.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 28 = 2^{2} \cdot 7 \)
Weight: \( 0 \)
Character: 28.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 3.08496615734 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.568367524\) \(a_{4}=+0.000000000\) \(a_{5}=-0.291115629\)
\(a_{6}=+0.000000000\) \(a_{7}=-0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=-0.676958357\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.463014201\) \(a_{12}=+0.000000000\) \(a_{13}=-0.623623252\) \(a_{14}=+0.000000000\) \(a_{15}=+0.165460670\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.491365369\) \(a_{18}=+0.000000000\) \(a_{19}=+1.246890442\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.214822732\) \(a_{22}=+0.000000000\) \(a_{23}=+0.911621622\) \(a_{24}=+0.000000000\) \(a_{25}=-0.915251690\)
\(a_{26}=+0.000000000\) \(a_{27}=+0.953128670\) \(a_{28}=+0.000000000\) \(a_{29}=-1.748866188\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.979367093\) \(a_{32}=+0.000000000\) \(a_{33}=+0.263162235\) \(a_{34}=+0.000000000\) \(a_{35}=+0.110031365\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.546928478\) \(a_{38}=+0.000000000\) \(a_{39}=+0.354447204\) \(a_{40}=+0.000000000\)
\(a_{41}=+1.757226571\) \(a_{42}=+0.000000000\) \(a_{43}=-1.619074490\) \(a_{44}=+0.000000000\) \(a_{45}=+0.197073158\)
\(a_{46}=+0.000000000\) \(a_{47}=+1.253609746\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.279276118\) \(a_{52}=+0.000000000\) \(a_{53}=+0.303754622\) \(a_{54}=+0.000000000\) \(a_{55}=+0.134790671\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.708692034\) \(a_{58}=+0.000000000\) \(a_{59}=-0.207272268\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.232351797\) \(a_{62}=+0.000000000\) \(a_{63}=+0.255866209\) \(a_{64}=+0.000000000\) \(a_{65}=+0.181546476\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.484168874\) \(a_{68}=+0.000000000\) \(a_{69}=-0.518136125\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.283849539\) \(a_{72}=+0.000000000\) \(a_{73}=-1.611558098\) \(a_{74}=+0.000000000\) \(a_{75}=+0.520199337\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.175002919\) \(a_{78}=+0.000000000\) \(a_{79}=+1.515562102\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.135230975\) \(a_{82}=+0.000000000\) \(a_{83}=-0.465628901\) \(a_{84}=+0.000000000\) \(a_{85}=+0.143044139\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.993998746\) \(a_{88}=+0.000000000\) \(a_{89}=+0.848689373\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.235707434\) \(a_{92}=+0.000000000\) \(a_{93}=+0.556640450\) \(a_{94}=+0.000000000\) \(a_{95}=-0.362989296\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.523981210\) \(a_{98}=+0.000000000\) \(a_{99}=+0.313441333\) \(a_{100}=+0.000000000\)

Showing 100 of 268 available coefficients

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