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: \( 2.31822472077 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=+1.775657815\) \(a_{4}=+0.000000000\) \(a_{5}=-1.166806301\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+2.152960677\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.095704889\) \(a_{12}=+0.000000000\) \(a_{13}=-0.168709729\) \(a_{14}=+0.000000000\) \(a_{15}=-2.071848727\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.020486315\) \(a_{18}=+0.000000000\) \(a_{19}=+0.470238981\) \(a_{20}=+0.000000000\)
\(a_{21}=+0.671135570\) \(a_{22}=+0.000000000\) \(a_{23}=-1.244932558\) \(a_{24}=+0.000000000\) \(a_{25}=+0.361436943\)
\(a_{26}=+0.000000000\) \(a_{27}=+2.047263638\) \(a_{28}=+0.000000000\) \(a_{29}=-1.516902187\) \(a_{30}=+0.000000000\)
\(a_{31}=+0.497558154\) \(a_{32}=+0.000000000\) \(a_{33}=+0.169939134\) \(a_{34}=+0.000000000\) \(a_{35}=-0.441011329\)
\(a_{36}=+0.000000000\) \(a_{37}=+1.855250514\) \(a_{38}=+0.000000000\) \(a_{39}=-0.299570750\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.003802084\) \(a_{42}=+0.000000000\) \(a_{43}=-0.452438841\) \(a_{44}=+0.000000000\) \(a_{45}=-2.512088083\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.579075989\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=+0.036376684\) \(a_{52}=+0.000000000\) \(a_{53}=-0.118169915\) \(a_{54}=+0.000000000\) \(a_{55}=-0.111669067\)
\(a_{56}=+0.000000000\) \(a_{57}=+0.834983522\) \(a_{58}=+0.000000000\) \(a_{59}=+1.558119408\) \(a_{60}=+0.000000000\)
\(a_{61}=+1.573217758\) \(a_{62}=+0.000000000\) \(a_{63}=+0.813742648\) \(a_{64}=+0.000000000\) \(a_{65}=+0.196851575\)
\(a_{66}=+0.000000000\) \(a_{67}=-1.370236506\) \(a_{68}=+0.000000000\) \(a_{69}=-2.210574227\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.397369385\) \(a_{72}=+0.000000000\) \(a_{73}=+1.082368978\) \(a_{74}=+0.000000000\) \(a_{75}=+0.641788333\)
\(a_{76}=+0.000000000\) \(a_{77}=+0.036173048\) \(a_{78}=+0.000000000\) \(a_{79}=-1.059387586\) \(a_{80}=+0.000000000\)
\(a_{81}=+1.482279001\) \(a_{82}=+0.000000000\) \(a_{83}=+0.658473610\) \(a_{84}=+0.000000000\) \(a_{85}=-0.023903561\)
\(a_{86}=+0.000000000\) \(a_{87}=-2.693499224\) \(a_{88}=+0.000000000\) \(a_{89}=-0.644731205\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.063766284\) \(a_{92}=+0.000000000\) \(a_{93}=+0.883493025\) \(a_{94}=+0.000000000\) \(a_{95}=-0.548677806\)
\(a_{96}=+0.000000000\) \(a_{97}=-0.666803220\) \(a_{98}=+0.000000000\) \(a_{99}=+0.206048862\) \(a_{100}=+0.000000000\)

Showing 100 of 238 available coefficients

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