Properties

Level $88$
Weight $0$
Character 88.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 88 = 2^{3} \cdot 11 \)
Weight: \( 0 \)
Character: 88.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 1.26288461902 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.000000000\) \(a_{3}=-0.922647857\) \(a_{4}=+0.000000000\) \(a_{5}=-0.285210013\)
\(a_{6}=+0.000000000\) \(a_{7}=-1.477081045\) \(a_{8}=+0.000000000\) \(a_{9}=-0.148720933\) \(a_{10}=+0.000000000\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.000000000\) \(a_{13}=-0.935283814\) \(a_{14}=+0.000000000\) \(a_{15}=+0.263148407\)
\(a_{16}=+0.000000000\) \(a_{17}=+1.128783213\) \(a_{18}=+0.000000000\) \(a_{19}=+1.371320183\) \(a_{20}=+0.000000000\)
\(a_{21}=+1.362825660\) \(a_{22}=+0.000000000\) \(a_{23}=-1.475814836\) \(a_{24}=+0.000000000\) \(a_{25}=-0.918655249\)
\(a_{26}=+0.000000000\) \(a_{27}=+1.059864906\) \(a_{28}=+0.000000000\) \(a_{29}=+0.193297316\) \(a_{30}=+0.000000000\)
\(a_{31}=-0.953670311\) \(a_{32}=+0.000000000\) \(a_{33}=-0.278188796\) \(a_{34}=+0.000000000\) \(a_{35}=+0.421278304\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.057594769\) \(a_{38}=+0.000000000\) \(a_{39}=+0.862937607\) \(a_{40}=+0.000000000\)
\(a_{41}=-0.295773662\) \(a_{42}=+0.000000000\) \(a_{43}=-1.456732633\) \(a_{44}=+0.000000000\) \(a_{45}=+0.042416699\)
\(a_{46}=+0.000000000\) \(a_{47}=-0.891573604\) \(a_{48}=+0.000000000\) \(a_{49}=+1.181768414\) \(a_{50}=+0.000000000\)
\(a_{51}=-1.041469412\) \(a_{52}=+0.000000000\) \(a_{53}=+0.519148070\) \(a_{54}=+0.000000000\) \(a_{55}=-0.085994054\)
\(a_{56}=+0.000000000\) \(a_{57}=-1.265245627\) \(a_{58}=+0.000000000\) \(a_{59}=-0.926560738\) \(a_{60}=+0.000000000\)
\(a_{61}=+0.461422510\) \(a_{62}=+0.000000000\) \(a_{63}=+0.219672871\) \(a_{64}=+0.000000000\) \(a_{65}=+0.266752309\)
\(a_{66}=+0.000000000\) \(a_{67}=-0.110363033\) \(a_{68}=+0.000000000\) \(a_{69}=+1.361657395\) \(a_{70}=+0.000000000\)
\(a_{71}=-0.362011662\) \(a_{72}=+0.000000000\) \(a_{73}=-1.666385833\) \(a_{74}=+0.000000000\) \(a_{75}=+0.847595296\)
\(a_{76}=+0.000000000\) \(a_{77}=-0.445356692\) \(a_{78}=+0.000000000\) \(a_{79}=+1.716495776\) \(a_{80}=+0.000000000\)
\(a_{81}=-0.829161151\) \(a_{82}=+0.000000000\) \(a_{83}=+1.710340148\) \(a_{84}=+0.000000000\) \(a_{85}=-0.321940275\)
\(a_{86}=+0.000000000\) \(a_{87}=-0.178345354\) \(a_{88}=+0.000000000\) \(a_{89}=+1.315723843\) \(a_{90}=+0.000000000\)
\(a_{91}=+1.381489994\) \(a_{92}=+0.000000000\) \(a_{93}=+0.879901868\) \(a_{94}=+0.000000000\) \(a_{95}=-0.391114247\)
\(a_{96}=+0.000000000\) \(a_{97}=+0.779281763\) \(a_{98}=+0.000000000\) \(a_{99}=-0.044841048\) \(a_{100}=+0.000000000\)

Showing 100 of 672 available coefficients

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