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: \( 5.4036329853 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.672139600\) \(a_{4}=+0.000000000\) \(a_{5}=+1.092478700\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+1.796050842\) \(a_{10}=+0.000000000\)
\(a_{11}=-1.823099700\) \(a_{12}=+0.000000000\) \(a_{13}=+1.535836101\) \(a_{14}=+0.000000000\) \(a_{15}=+1.826776896\)
\(a_{16}=+0.000000000\) \(a_{17}=-0.414681800\) \(a_{18}=+0.000000000\) \(a_{19}=+0.792138920\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.632009363\) \(a_{22}=+0.000000000\) \(a_{23}=+0.698214520\) \(a_{24}=+0.000000000\) \(a_{25}=+0.193509710\)
\(a_{26}=+0.000000000\) \(a_{27}=+1.331108136\) \(a_{28}=+0.000000000\) \(a_{29}=+0.064553200\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.632506100\) \(a_{32}=+0.000000000\) \(a_{33}=-3.048477203\) \(a_{34}=+0.000000000\) \(a_{35}=+0.412918136\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.881078600\) \(a_{38}=+0.000000000\) \(a_{39}=+2.568132362\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.591366768\) \(a_{42}=+0.000000000\) \(a_{43}=-0.405294290\) \(a_{44}=+0.000000000\) \(a_{45}=+1.962147289\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.761939640\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=-0.693405859\) \(a_{52}=+0.000000000\) \(a_{53}=+0.295536055\) \(a_{54}=+0.000000000\) \(a_{55}=-1.991697590\)
\(a_{56}=+0.000000000\) \(a_{57}=+1.324566857\) \(a_{58}=+0.000000000\) \(a_{59}=-0.522202670\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.928375300\) \(a_{62}=+0.000000000\) \(a_{63}=+0.678843410\) \(a_{64}=+0.000000000\) \(a_{65}=+1.677868226\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.417091070\) \(a_{68}=+0.000000000\) \(a_{69}=+1.167512148\) \(a_{70}=+0.000000000\)
\(a_{71}=-1.232096470\) \(a_{72}=+0.000000000\) \(a_{73}=-0.320704900\) \(a_{74}=+0.000000000\) \(a_{75}=+0.323575249\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.689066917\) \(a_{78}=+0.000000000\) \(a_{79}=+1.069773200\) \(a_{80}=+0.000000000\)
\(a_{81}=+0.429747785\) \(a_{82}=+0.000000000\) \(a_{83}=+0.384757500\) \(a_{84}=+0.000000000\) \(a_{85}=-0.453031034\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.107941962\) \(a_{88}=+0.000000000\) \(a_{89}=+1.333241699\) \(a_{90}=+0.000000000\)
\(a_{91}=+0.580491482\) \(a_{92}=+0.000000000\) \(a_{93}=-1.057638497\) \(a_{94}=+0.000000000\) \(a_{95}=+0.865394898\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.972511001\) \(a_{98}=+0.000000000\) \(a_{99}=-3.274379751\) \(a_{100}=+0.000000000\)

Showing 100 of 190 available coefficients

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