Properties

Level $983$
Weight $0$
Character 983.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 983 \)
Weight: \( 0 \)
Character: 983.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.9665736464 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.182486852\) \(a_{3}=+1.401635577\) \(a_{4}=+0.398273567\) \(a_{5}=+0.189915276\)
\(a_{6}=-1.657415379\) \(a_{7}=+1.796149215\) \(a_{8}=+0.711532582\) \(a_{9}=+0.964581030\) \(a_{10}=-0.224573084\)
\(a_{11}=+1.964834497\) \(a_{12}=+0.558234845\) \(a_{13}=+0.742182115\) \(a_{14}=-2.123923726\) \(a_{15}=+0.266192675\)
\(a_{16}=-1.239650853\) \(a_{17}=+1.582433617\) \(a_{18}=-1.140605594\) \(a_{19}=-0.249761941\) \(a_{20}=+0.075639957\)
\(a_{21}=+2.517547770\) \(a_{22}=-2.323390958\) \(a_{23}=-0.806776776\) \(a_{24}=+0.997308766\) \(a_{25}=-0.963929552\)
\(a_{26}=-0.877621193\) \(a_{27}=-0.049643107\) \(a_{28}=+0.715360295\) \(a_{29}=-0.247686560\) \(a_{30}=-0.314769963\)
\(a_{31}=-1.051436776\) \(a_{32}=+0.754338626\) \(a_{33}=+2.753982237\) \(a_{34}=-1.871205863\) \(a_{35}=+0.341117724\)
\(a_{36}=+0.384168370\) \(a_{37}=+0.492166241\) \(a_{38}=+0.295340097\) \(a_{39}=+1.040269616\) \(a_{40}=+0.135130698\)
\(a_{41}=-0.480608713\) \(a_{42}=-2.976966484\) \(a_{43}=-1.732271967\) \(a_{44}=+0.782544483\) \(a_{45}=+0.183190521\)
\(a_{46}=+0.954003727\) \(a_{47}=+0.240036057\) \(a_{48}=-1.737539524\) \(a_{49}=+2.226153827\) \(a_{50}=+1.139835153\)
\(a_{51}=+2.217995128\) \(a_{52}=+0.295593765\) \(a_{53}=+0.719362385\) \(a_{54}=+0.058701521\) \(a_{55}=+0.373156193\)
\(a_{56}=+1.278018453\) \(a_{57}=-0.350075536\) \(a_{58}=+0.292885280\) \(a_{59}=-0.997359579\) \(a_{60}=+0.106019332\)
\(a_{61}=-0.920954550\) \(a_{62}=+1.243309649\) \(a_{63}=+1.732533466\) \(a_{64}=+0.347655141\) \(a_{65}=+0.140954970\)
\(a_{66}=-3.256547936\) \(a_{67}=+0.790440788\) \(a_{68}=+0.630242568\) \(a_{69}=-1.130806644\) \(a_{70}=-0.403367915\)
\(a_{71}=-1.283798041\) \(a_{72}=+0.686330525\) \(a_{73}=-1.425782111\) \(a_{74}=-0.581979335\) \(a_{75}=-1.351078913\)
\(a_{76}=-0.099473088\) \(a_{77}=+3.529139018\) \(a_{78}=-1.230105082\) \(a_{79}=+0.589868715\) \(a_{80}=-0.235430596\)
\(a_{81}=-1.034163574\) \(a_{82}=+0.568313140\) \(a_{83}=-0.414621345\) \(a_{84}=+1.002674571\) \(a_{85}=+0.300528589\)
\(a_{86}=+2.048388161\) \(a_{87}=-0.347166469\) \(a_{88}=+1.398042417\) \(a_{89}=+0.929821729\) \(a_{90}=-0.216620353\)
\(a_{91}=+1.333072126\) \(a_{92}=-0.321319844\) \(a_{93}=-1.473730265\) \(a_{94}=-0.283838199\) \(a_{95}=-0.047432232\)
\(a_{96}=+1.057308616\) \(a_{97}=-0.247986122\) \(a_{98}=-2.632398508\) \(a_{99}=+1.895245576\) \(a_{100}=-0.383910367\)

Showing 100 of 2370 available coefficients

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