Properties

Level $293$
Weight $0$
Character 293.1
Symmetry odd
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 293 \)
Weight: \( 0 \)
Character: 293.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.52894536028 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.543979333\) \(a_{3}=-0.934318285\) \(a_{4}=-0.704086480\) \(a_{5}=+0.417536800\)
\(a_{6}=+0.508249833\) \(a_{7}=-1.150501705\) \(a_{8}=+0.926987834\) \(a_{9}=-0.127049353\) \(a_{10}=-0.227131400\)
\(a_{11}=+0.372892148\) \(a_{12}=+0.657840864\) \(a_{13}=+0.280431558\) \(a_{14}=+0.625849137\) \(a_{15}=-0.390112256\)
\(a_{16}=+0.199824251\) \(a_{17}=+1.473454315\) \(a_{18}=+0.069112223\) \(a_{19}=-0.198999870\) \(a_{20}=-0.293982028\)
\(a_{21}=+1.074934770\) \(a_{22}=-0.202845616\) \(a_{23}=+0.776005053\) \(a_{24}=-0.866101671\) \(a_{25}=-0.825663012\)
\(a_{26}=-0.152548965\) \(a_{27}=+1.053022806\) \(a_{28}=+0.810052705\) \(a_{29}=+1.582815349\) \(a_{30}=+0.212213001\)
\(a_{31}=+1.771063494\) \(a_{32}=-1.035688100\) \(a_{33}=-0.348399953\) \(a_{34}=-0.801528684\) \(a_{35}=-0.480376799\)
\(a_{36}=+0.089453737\) \(a_{37}=-0.618637548\) \(a_{38}=+0.108251830\) \(a_{39}=-0.262012336\) \(a_{40}=+0.387051546\)
\(a_{41}=-0.977307188\) \(a_{42}=-0.584742295\) \(a_{43}=-0.120021951\) \(a_{44}=-0.262548313\) \(a_{45}=-0.053047781\)
\(a_{46}=-0.422130703\) \(a_{47}=+1.127404954\) \(a_{48}=-0.186699457\) \(a_{49}=+0.323654157\) \(a_{50}=+0.449143634\)
\(a_{51}=-1.376675298\) \(a_{52}=-0.197448059\) \(a_{53}=+0.100084768\) \(a_{54}=-0.572822629\) \(a_{55}=+0.155696175\)
\(a_{56}=-1.066501059\) \(a_{57}=+0.185929220\) \(a_{58}=-0.861018840\) \(a_{59}=-1.626111120\) \(a_{60}=+0.274672794\)
\(a_{61}=+0.458624654\) \(a_{62}=-0.963421951\) \(a_{63}=+0.146170521\) \(a_{64}=+0.363568647\) \(a_{65}=+0.117090516\)
\(a_{66}=+0.189522351\) \(a_{67}=-0.716749784\) \(a_{68}=-1.037439258\) \(a_{69}=-0.725035719\) \(a_{70}=+0.261315066\)
\(a_{71}=+0.636509462\) \(a_{72}=-0.117773237\) \(a_{73}=+1.622069948\) \(a_{74}=+0.336526077\) \(a_{75}=+0.771432036\)
\(a_{76}=+0.140113125\) \(a_{77}=-0.429013029\) \(a_{78}=+0.142529246\) \(a_{79}=-1.098628995\) \(a_{80}=+0.083433992\)
\(a_{81}=-0.856809080\) \(a_{82}=+0.531634901\) \(a_{83}=+1.455233848\) \(a_{84}=-0.756847067\) \(a_{85}=+0.615221442\)
\(a_{86}=+0.065289433\) \(a_{87}=-1.478853317\) \(a_{88}=+0.345666480\) \(a_{89}=+0.734134470\) \(a_{90}=+0.028856921\)
\(a_{91}=-0.322636965\) \(a_{92}=-0.546374680\) \(a_{93}=-1.654736983\) \(a_{94}=-0.613284979\) \(a_{95}=-0.083089796\)
\(a_{96}=+0.967662345\) \(a_{97}=+1.530538192\) \(a_{98}=-0.176061206\) \(a_{99}=-0.047375682\) \(a_{100}=+0.581338200\)

Showing 100 of 928 available coefficients

Rows: Cols: