Properties

Level $863$
Weight $0$
Character 863.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 863 \)
Weight: \( 0 \)
Character: 863.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 0.788175604 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.478590241\) \(a_{3}=-1.799399966\) \(a_{4}=+1.186229512\) \(a_{5}=-0.622819268\)
\(a_{6}=+2.660575033\) \(a_{7}=+0.263831854\) \(a_{8}=-0.275356939\) \(a_{9}=+2.237840371\) \(a_{10}=+0.920894148\)
\(a_{11}=+0.410560826\) \(a_{12}=-2.134500101\) \(a_{13}=+1.074072176\) \(a_{14}=-0.390098561\) \(a_{15}=+1.120700212\)
\(a_{16}=-0.779089821\) \(a_{17}=-1.464301297\) \(a_{18}=-3.308848718\) \(a_{19}=+0.665395072\) \(a_{20}=-0.738806342\)
\(a_{21}=-0.474738519\) \(a_{22}=-0.607051447\) \(a_{23}=-1.408535946\) \(a_{24}=+0.495476739\) \(a_{25}=-0.612096512\)
\(a_{26}=-1.588112208\) \(a_{27}=-2.227368621\) \(a_{28}=+0.312963487\) \(a_{29}=+0.759963740\) \(a_{30}=-1.657055903\)
\(a_{31}=-0.199855072\) \(a_{32}=+1.427311130\) \(a_{33}=-0.738763421\) \(a_{34}=+2.165101484\) \(a_{35}=-0.164318642\)
\(a_{36}=+2.654591390\) \(a_{37}=+0.395454821\) \(a_{38}=-0.983847281\) \(a_{39}=-1.932685289\) \(a_{40}=+0.171497649\)
\(a_{41}=-0.067603789\) \(a_{42}=+0.701943918\) \(a_{43}=-0.566058978\) \(a_{44}=+0.487019517\) \(a_{45}=-1.393769093\)
\(a_{46}=+2.082646960\) \(a_{47}=-1.192222610\) \(a_{48}=+1.401893034\) \(a_{49}=-0.930393192\) \(a_{50}=+0.905040330\)
\(a_{51}=+2.634863341\) \(a_{52}=+1.274095240\) \(a_{53}=-1.037715338\) \(a_{54}=+3.293366015\) \(a_{55}=-0.255704684\)
\(a_{56}=-0.072647090\) \(a_{57}=-1.197312079\) \(a_{58}=-1.123674918\) \(a_{59}=-1.417685140\) \(a_{60}=+1.329406603\)
\(a_{61}=+0.522245401\) \(a_{62}=+0.295503703\) \(a_{63}=+0.590411957\) \(a_{64}=-1.331318573\) \(a_{65}=-0.668952508\)
\(a_{66}=+1.092328243\) \(a_{67}=+0.284171065\) \(a_{68}=-1.736996802\) \(a_{69}=+2.534517595\) \(a_{70}=+0.242960344\)
\(a_{71}=+1.360548747\) \(a_{72}=-0.616204667\) \(a_{73}=+0.972620100\) \(a_{74}=-0.584714979\) \(a_{75}=+1.101407039\)
\(a_{76}=+0.789311968\) \(a_{77}=+0.108318831\) \(a_{78}=+2.857649482\) \(a_{79}=-1.794536510\) \(a_{80}=+0.485232105\)
\(a_{81}=+1.770087066\) \(a_{82}=+0.099958273\) \(a_{83}=-1.074345169\) \(a_{84}=-0.563148423\) \(a_{85}=+0.911994099\)
\(a_{86}=+0.836968637\) \(a_{87}=-1.367478733\) \(a_{88}=-0.113050210\) \(a_{89}=+0.940372229\) \(a_{90}=+2.060813095\)
\(a_{91}=+0.283373768\) \(a_{92}=-1.670845373\) \(a_{93}=+0.359619585\) \(a_{94}=+1.762808151\) \(a_{95}=-0.414420404\)
\(a_{96}=-2.568302510\) \(a_{97}=+0.020670305\) \(a_{98}=+1.375669525\) \(a_{99}=+0.918769533\) \(a_{100}=-0.726086666\)

Showing 100 of 2130 available coefficients

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