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: \( 7.79677571194 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-1.917516190\) \(a_{4}=+0.000000000\) \(a_{5}=-1.806983315\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.377964473\) \(a_{8}=+0.000000000\) \(a_{9}=+2.676868338\) \(a_{10}=+0.000000000\)
\(a_{11}=-0.108140028\) \(a_{12}=+0.000000000\) \(a_{13}=-0.241657438\) \(a_{14}=+0.000000000\) \(a_{15}=+3.464919761\)
\(a_{16}=+0.000000000\) \(a_{17}=+0.855742995\) \(a_{18}=+0.000000000\) \(a_{19}=+0.025464590\) \(a_{20}=+0.000000000\)
\(a_{21}=-0.724752996\) \(a_{22}=+0.000000000\) \(a_{23}=+0.649750446\) \(a_{24}=+0.000000000\) \(a_{25}=+2.265188700\)
\(a_{26}=+0.000000000\) \(a_{27}=-3.215422185\) \(a_{28}=+0.000000000\) \(a_{29}=-0.541263135\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.468585696\) \(a_{32}=+0.000000000\) \(a_{33}=+0.207360255\) \(a_{34}=+0.000000000\) \(a_{35}=-0.682975496\)
\(a_{36}=+0.000000000\) \(a_{37}=-1.045539472\) \(a_{38}=+0.000000000\) \(a_{39}=+0.463382049\) \(a_{40}=+0.000000000\)
\(a_{41}=+0.247394374\) \(a_{42}=+0.000000000\) \(a_{43}=+0.485359774\) \(a_{44}=+0.000000000\) \(a_{45}=-4.837056422\)
\(a_{46}=+0.000000000\) \(a_{47}=+0.690738733\) \(a_{48}=+0.000000000\) \(a_{49}=+0.142857143\) \(a_{50}=+0.000000000\)
\(a_{51}=-1.640901048\) \(a_{52}=+0.000000000\) \(a_{53}=+1.218384307\) \(a_{54}=+0.000000000\) \(a_{55}=+0.195407227\)
\(a_{56}=+0.000000000\) \(a_{57}=-0.048828763\) \(a_{58}=+0.000000000\) \(a_{59}=+0.747836961\) \(a_{60}=+0.000000000\)
\(a_{61}=-0.583916272\) \(a_{62}=+0.000000000\) \(a_{63}=+1.011761131\) \(a_{64}=+0.000000000\) \(a_{65}=+0.436670958\)
\(a_{66}=+0.000000000\) \(a_{67}=+0.237631421\) \(a_{68}=+0.000000000\) \(a_{69}=-1.245906999\) \(a_{70}=+0.000000000\)
\(a_{71}=+1.223034387\) \(a_{72}=+0.000000000\) \(a_{73}=-1.634884345\) \(a_{74}=+0.000000000\) \(a_{75}=-4.343536005\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.040873089\) \(a_{78}=+0.000000000\) \(a_{79}=+0.913525339\) \(a_{80}=+0.000000000\)
\(a_{81}=+3.488755759\) \(a_{82}=+0.000000000\) \(a_{83}=+0.947227467\) \(a_{84}=+0.000000000\) \(a_{85}=-1.546313314\)
\(a_{86}=+0.000000000\) \(a_{87}=+1.037880825\) \(a_{88}=+0.000000000\) \(a_{89}=-1.373428612\) \(a_{90}=+0.000000000\)
\(a_{91}=-0.091337926\) \(a_{92}=+0.000000000\) \(a_{93}=+0.898520658\) \(a_{94}=+0.000000000\) \(a_{95}=-0.046014089\)
\(a_{96}=+0.000000000\) \(a_{97}=-1.789470665\) \(a_{98}=+0.000000000\) \(a_{99}=-0.289476618\) \(a_{100}=+0.000000000\)

Showing 100 of 352 available coefficients

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