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: \( 0.5836517464 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.859801205\) \(a_{3}=+0.664837735\) \(a_{4}=+2.458860569\) \(a_{5}=+0.087211658\)
\(a_{6}=+1.236466209\) \(a_{7}=+0.266846463\) \(a_{8}=+2.713190558\) \(a_{9}=-0.557991225\) \(a_{10}=+0.162196430\)
\(a_{11}=-0.768570775\) \(a_{12}=+1.634744037\) \(a_{13}=-0.101907891\) \(a_{14}=+0.496280511\) \(a_{15}=+0.057980919\)
\(a_{16}=+2.587133754\) \(a_{17}=+1.380211319\) \(a_{18}=-1.037752255\) \(a_{19}=+1.012591246\) \(a_{20}=+0.214442183\)
\(a_{21}=+0.177410409\) \(a_{22}=-1.429387645\) \(a_{23}=+1.157743386\) \(a_{24}=+1.803833054\) \(a_{25}=-0.992394768\)
\(a_{26}=-0.189527844\) \(a_{27}=-1.035811867\) \(a_{28}=+0.656135571\) \(a_{29}=+0.063170438\) \(a_{30}=+0.107833522\)
\(a_{31}=-0.302240185\) \(a_{32}=+2.098362298\) \(a_{33}=-0.510976503\) \(a_{34}=+2.566917272\) \(a_{35}=+0.023273482\)
\(a_{36}=-1.372021195\) \(a_{37}=-1.203688904\) \(a_{38}=+1.883217278\) \(a_{39}=-0.067753244\) \(a_{40}=+0.236624230\)
\(a_{41}=+0.137265063\) \(a_{42}=+0.329947117\) \(a_{43}=-1.003474073\) \(a_{44}=-1.889804210\) \(a_{45}=-0.048664498\)
\(a_{46}=+2.153171519\) \(a_{47}=+0.158354949\) \(a_{48}=+1.720026345\) \(a_{49}=-0.928794669\) \(a_{50}=-1.845657093\)
\(a_{51}=+0.917618574\) \(a_{52}=-0.250575165\) \(a_{53}=-0.629122650\) \(a_{54}=-1.926404378\) \(a_{55}=-0.067030900\)
\(a_{56}=+0.724000964\) \(a_{57}=+0.673209808\) \(a_{58}=+0.117483613\) \(a_{59}=-0.569075839\) \(a_{60}=+0.142568825\)
\(a_{61}=-1.849522504\) \(a_{62}=-0.562106232\) \(a_{63}=-0.148896319\) \(a_{64}=+1.315401724\) \(a_{65}=-0.008889167\)
\(a_{66}=-0.950313654\) \(a_{67}=-1.704787769\) \(a_{68}=+3.393742883\) \(a_{69}=+0.769711709\) \(a_{70}=+0.043283481\)
\(a_{71}=-0.341895576\) \(a_{72}=-1.513933470\) \(a_{73}=+0.727736310\) \(a_{74}=-2.238621084\) \(a_{75}=-0.659782279\)
\(a_{76}=+2.489818258\) \(a_{77}=-0.205086275\) \(a_{78}=-0.126006610\) \(a_{79}=+1.668405942\) \(a_{80}=+0.225631427\)
\(a_{81}=-0.130655748\) \(a_{82}=+0.255284938\) \(a_{83}=+1.275464764\) \(a_{84}=+0.436225263\) \(a_{85}=+0.120373036\)
\(a_{86}=-1.866261322\) \(a_{87}=+0.041999081\) \(a_{88}=-2.085270565\) \(a_{89}=+0.438936015\) \(a_{90}=-0.090505725\)
\(a_{91}=-0.027191513\) \(a_{92}=+2.846727553\) \(a_{93}=-0.200941347\) \(a_{94}=+0.294509669\) \(a_{95}=+0.088311004\)
\(a_{96}=+1.395072908\) \(a_{97}=+0.313470829\) \(a_{98}=-1.727373301\) \(a_{99}=+0.428851867\) \(a_{100}=-2.440159701\)

Showing 100 of 2346 available coefficients

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