Properties

Level $28$
Weight $0$
Character 28.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 28 = 2^{2} \cdot 7 \)
Weight: \( 0 \)
Character: 28.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 5.8230194884 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-1.739700476\) \(a_{4}=+0.000000000\) \(a_{5}=+0.676473808\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+2.026557746\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.958644231\) \(a_{12}=+0.000000000\) \(a_{13}=-0.985540260\) \(a_{14}=+0.000000000\) \(a_{15}=-1.176861806\)
\(a_{16}=+0.000000000\) \(a_{17}=-1.837498577\) \(a_{18}=+0.000000000\) \(a_{19}=+0.937564841\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.657544974\) \(a_{22}=+0.000000000\) \(a_{23}=+0.746568869\) \(a_{24}=+0.000000000\) \(a_{25}=-0.542383187\)
\(a_{26}=+0.000000000\) \(a_{27}=-1.785903000\) \(a_{28}=+0.000000000\) \(a_{29}=-0.520049918\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.810067627\) \(a_{32}=+0.000000000\) \(a_{33}=-1.667753825\) \(a_{34}=+0.000000000\) \(a_{35}=+0.255683066\)
\(a_{36}=+0.000000000\) \(a_{37}=-0.430011389\) \(a_{38}=+0.000000000\) \(a_{39}=+1.714544859\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.284315367\) \(a_{42}=+0.000000000\) \(a_{43}=-1.720736308\) \(a_{44}=+0.000000000\) \(a_{45}=+1.370913236\)
\(a_{46}=+0.000000000\) \(a_{47}=-1.782298275\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+3.196697149\) \(a_{52}=+0.000000000\) \(a_{53}=+0.301238054\) \(a_{54}=+0.000000000\) \(a_{55}=+0.648497713\)
\(a_{56}=+0.000000000\) \(a_{57}=-1.631082000\) \(a_{58}=+0.000000000\) \(a_{59}=-1.467682453\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.054343866\) \(a_{62}=+0.000000000\) \(a_{63}=+0.765966831\) \(a_{64}=+0.000000000\) \(a_{65}=-0.666692172\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.335428195\) \(a_{68}=+0.000000000\) \(a_{69}=-1.298806217\) \(a_{70}=+0.000000000\)
\(a_{71}=+0.282586755\) \(a_{72}=+0.000000000\) \(a_{73}=+1.354454508\) \(a_{74}=+0.000000000\) \(a_{75}=+0.943584289\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.362333462\) \(a_{78}=+0.000000000\) \(a_{79}=+1.147041431\) \(a_{80}=+0.000000000\)
\(a_{81}=+1.080378552\) \(a_{82}=+0.000000000\) \(a_{83}=-0.550832841\) \(a_{84}=+0.000000000\) \(a_{85}=-1.243019660\)
\(a_{86}=+0.000000000\) \(a_{87}=+0.904731090\) \(a_{88}=+0.000000000\) \(a_{89}=-0.775735850\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.372499205\) \(a_{92}=+0.000000000\) \(a_{93}=-1.409275036\) \(a_{94}=+0.000000000\) \(a_{95}=+0.634238058\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.522344750\) \(a_{98}=+0.000000000\) \(a_{99}=+1.942747892\) \(a_{100}=+0.000000000\)

Showing 100 of 270 available coefficients

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