Properties

Level $2$
Weight $0$
Character 2.1
Symmetry odd
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 30.6269936449 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.788880772\) \(a_{4}=+0.500000000\) \(a_{5}=+0.568860582\)
\(a_{6}=-0.557822943\) \(a_{7}=-1.463575231\) \(a_{8}=+0.353553391\) \(a_{9}=-0.377667128\) \(a_{10}=+0.402245175\)
\(a_{11}=+1.204979260\) \(a_{12}=-0.394440386\) \(a_{13}=+0.714076804\) \(a_{14}=-1.034903971\) \(a_{15}=-0.448763175\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.149059673\) \(a_{18}=-0.267050987\) \(a_{19}=-0.259005792\) \(a_{20}=+0.284430291\)
\(a_{21}=+1.154586358\) \(a_{22}=+0.852049006\) \(a_{23}=+0.379842985\) \(a_{24}=-0.278911472\) \(a_{25}=-0.676397638\)
\(a_{26}=+0.504928551\) \(a_{27}=+1.086815107\) \(a_{28}=-0.731787616\) \(a_{29}=+1.537780603\) \(a_{30}=-0.317323484\)
\(a_{31}=+0.073676361\) \(a_{32}=+0.176776695\) \(a_{33}=-0.950584968\) \(a_{34}=-0.812507887\) \(a_{35}=-0.832570258\)
\(a_{36}=-0.188833564\) \(a_{37}=+1.189265112\) \(a_{38}=-0.183144752\) \(a_{39}=-0.563321460\) \(a_{40}=+0.201122588\)
\(a_{41}=+1.678184965\) \(a_{42}=+0.816415843\) \(a_{43}=+1.145086268\) \(a_{44}=+0.602489630\) \(a_{45}=-0.214839942\)
\(a_{46}=+0.268589551\) \(a_{47}=+1.820751415\) \(a_{48}=-0.197220193\) \(a_{49}=+1.142052457\) \(a_{50}=-0.478285357\)
\(a_{51}=+0.906471082\) \(a_{52}=+0.357038402\) \(a_{53}=-1.231574134\) \(a_{54}=+0.768494332\) \(a_{55}=+0.685465203\)
\(a_{56}=-0.517451985\) \(a_{57}=+0.204324689\) \(a_{58}=+1.087375092\) \(a_{59}=-0.510881861\) \(a_{60}=-0.224381588\)
\(a_{61}=-0.719472027\) \(a_{62}=+0.052097054\) \(a_{63}=+0.552744254\) \(a_{64}=+0.125000000\) \(a_{65}=+0.406210147\)
\(a_{66}=-0.672165077\) \(a_{67}=+1.159020454\) \(a_{68}=-0.574529836\) \(a_{69}=-0.299650827\) \(a_{70}=-0.588716075\)
\(a_{71}=-0.243975800\) \(a_{72}=-0.133525494\) \(a_{73}=+0.849179842\) \(a_{74}=+0.840937426\) \(a_{75}=+0.533597091\)
\(a_{76}=-0.129502896\) \(a_{77}=-1.763577798\) \(a_{78}=-0.398328425\) \(a_{79}=+0.667389585\) \(a_{80}=+0.142215146\)
\(a_{81}=-0.479700413\) \(a_{82}=+1.186655969\) \(a_{83}=-0.496790833\) \(a_{84}=+0.577293179\) \(a_{85}=-0.653654755\)
\(a_{86}=+0.809698266\) \(a_{87}=-1.213125549\) \(a_{88}=+0.426024503\) \(a_{89}=+0.381549000\) \(a_{90}=-0.151914780\)
\(a_{91}=-1.045105124\) \(a_{92}=+0.189921493\) \(a_{93}=-0.058121864\) \(a_{94}=+1.287465673\) \(a_{95}=-0.147338186\)
\(a_{96}=-0.139455736\) \(a_{97}=-0.085743660\) \(a_{98}=+0.807553037\) \(a_{99}=-0.455081056\) \(a_{100}=-0.338198819\)

Showing 100 of 1228 available coefficients

Rows: Cols: