Properties

Level $739$
Weight $0$
Character 739.1
Symmetry even
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 739 \)
Weight: \( 0 \)
Character: 739.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.4497692771 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.364076066\) \(a_{3}=+0.712980988\) \(a_{4}=+0.860703834\) \(a_{5}=-1.138342917\)
\(a_{6}=+0.972560393\) \(a_{7}=-0.683635087\) \(a_{8}=-0.190010735\) \(a_{9}=-0.491658220\) \(a_{10}=-1.552786349\)
\(a_{11}=-0.627337050\) \(a_{12}=+0.613664907\) \(a_{13}=+0.955745272\) \(a_{14}=-0.932530259\) \(a_{15}=-0.811616934\)
\(a_{16}=-1.119892894\) \(a_{17}=+1.448489869\) \(a_{18}=-0.670658820\) \(a_{19}=+1.535934348\) \(a_{20}=-0.979775473\)
\(a_{21}=-0.487418454\) \(a_{22}=-0.855735457\) \(a_{23}=-1.469360592\) \(a_{24}=-0.135474785\) \(a_{25}=+0.295824696\)
\(a_{26}=+1.303709046\) \(a_{27}=-1.063523630\) \(a_{28}=-0.588407372\) \(a_{29}=-1.525025739\) \(a_{30}=-1.107107241\)
\(a_{31}=+0.402161174\) \(a_{32}=-1.337608025\) \(a_{33}=-0.447279079\) \(a_{34}=+1.975850137\) \(a_{35}=+0.778210924\)
\(a_{36}=-0.423171316\) \(a_{37}=+0.079864315\) \(a_{38}=+2.095131459\) \(a_{39}=+0.681428841\) \(a_{40}=+0.216297934\)
\(a_{41}=+1.015015628\) \(a_{42}=-0.664875944\) \(a_{43}=+1.885183177\) \(a_{44}=-0.539950997\) \(a_{45}=+0.559675156\)
\(a_{46}=-2.004319804\) \(a_{47}=+0.432136285\) \(a_{48}=-0.798462932\) \(a_{49}=-0.532643173\) \(a_{50}=+0.403527008\)
\(a_{51}=+1.032745759\) \(a_{52}=+0.822613086\) \(a_{53}=-0.313864613\) \(a_{54}=-1.450727378\) \(a_{55}=+0.714124514\)
\(a_{56}=+0.129898100\) \(a_{57}=+1.095092182\) \(a_{58}=-2.080251337\) \(a_{59}=+1.300326565\) \(a_{60}=-0.698561689\)
\(a_{61}=+0.030082063\) \(a_{62}=+0.548578248\) \(a_{63}=+0.336114345\) \(a_{64}=-0.704706174\) \(a_{65}=-1.087966124\)
\(a_{66}=-0.610122669\) \(a_{67}=+0.605420729\) \(a_{68}=+1.246719921\) \(a_{69}=-1.047626987\) \(a_{70}=+1.061539034\)
\(a_{71}=-0.945344241\) \(a_{72}=+0.093420912\) \(a_{73}=-0.339369207\) \(a_{74}=+0.108941117\) \(a_{75}=+0.210917352\)
\(a_{76}=+1.321984583\) \(a_{77}=+0.428869367\) \(a_{78}=+0.929520603\) \(a_{79}=+0.128505286\) \(a_{80}=+1.274822227\)
\(a_{81}=-0.266614717\) \(a_{82}=+1.384558608\) \(a_{83}=-1.019877470\) \(a_{84}=-0.419522887\) \(a_{85}=-1.648878085\)
\(a_{86}=+2.571532930\) \(a_{87}=-1.087315131\) \(a_{88}=+0.119200843\) \(a_{89}=+0.060287961\) \(a_{90}=+0.763439623\)
\(a_{91}=-0.653380842\) \(a_{92}=-1.264684010\) \(a_{93}=+0.286733818\) \(a_{94}=+0.589466773\) \(a_{95}=-1.748420123\)
\(a_{96}=-0.953689409\) \(a_{97}=+0.307278328\) \(a_{98}=-0.726565767\) \(a_{99}=+0.308434725\) \(a_{100}=+0.254616972\)

Showing 100 of 2062 available coefficients

Rows: Cols: