Properties

Level $73$
Weight $0$
Character 73.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 73 \)
Weight: \( 0 \)
Character: 73.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 3.3751468767 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.527140528\) \(a_{3}=-0.965343794\) \(a_{4}=+1.332158193\) \(a_{5}=+0.525132905\)
\(a_{6}=-1.474215632\) \(a_{7}=-0.746232316\) \(a_{8}=+0.507252239\) \(a_{9}=-0.068111359\) \(a_{10}=+0.801951742\)
\(a_{11}=-1.608049569\) \(a_{12}=-1.285990645\) \(a_{13}=-1.134792058\) \(a_{14}=-1.139601614\) \(a_{15}=-0.506933791\)
\(a_{16}=-0.557512742\) \(a_{17}=+1.156788466\) \(a_{18}=-0.104015617\) \(a_{19}=+0.642728877\) \(a_{20}=+0.699560102\)
\(a_{21}=+0.720370735\) \(a_{22}=-2.455717668\) \(a_{23}=+1.100104608\) \(a_{24}=-0.489672801\) \(a_{25}=-0.724235432\)
\(a_{26}=-1.732986943\) \(a_{27}=+1.031094672\) \(a_{28}=-0.994099494\) \(a_{29}=-1.082994735\) \(a_{30}=-0.774159138\)
\(a_{31}=-0.160357227\) \(a_{32}=-1.358652541\) \(a_{33}=+1.552320672\) \(a_{34}=+1.766578549\) \(a_{35}=-0.391871144\)
\(a_{36}=-0.090735105\) \(a_{37}=-0.218600878\) \(a_{38}=+0.981537316\) \(a_{39}=+1.095464470\) \(a_{40}=+0.266374842\)
\(a_{41}=-0.859108302\) \(a_{42}=+1.100107346\) \(a_{43}=+1.941176597\) \(a_{44}=-2.142176408\) \(a_{45}=-0.035767516\)
\(a_{46}=+1.680014333\) \(a_{47}=+0.199905327\) \(a_{48}=+0.538191465\) \(a_{49}=-0.443137330\) \(a_{50}=-1.106009280\)
\(a_{51}=-1.116698567\) \(a_{52}=-1.511722537\) \(a_{53}=+0.363981984\) \(a_{54}=+1.574626462\) \(a_{55}=-0.844439742\)
\(a_{56}=-0.378528013\) \(a_{57}=-0.620454332\) \(a_{58}=-1.653885151\) \(a_{59}=-0.752788775\) \(a_{60}=-0.675316003\)
\(a_{61}=+0.428846278\) \(a_{62}=-0.244888020\) \(a_{63}=+0.050826897\) \(a_{64}=-1.517340618\) \(a_{65}=-0.595916650\)
\(a_{66}=+2.370611811\) \(a_{67}=-0.422721312\) \(a_{68}=+1.541025233\) \(a_{69}=-1.061979157\) \(a_{70}=-0.598442306\)
\(a_{71}=-0.683990556\) \(a_{72}=-0.034549639\) \(a_{73}=-0.117041148\) \(a_{74}=-0.333834260\) \(a_{75}=+0.699136180\)
\(a_{76}=+0.856216539\) \(a_{77}=+1.199978555\) \(a_{78}=+1.672928190\) \(a_{79}=+0.258477926\) \(a_{80}=-0.292768286\)
\(a_{81}=-0.927249484\) \(a_{82}=-1.311979106\) \(a_{83}=+0.107164150\) \(a_{84}=+0.959647777\) \(a_{85}=+0.607467688\)
\(a_{86}=+2.964449454\) \(a_{87}=+1.045462246\) \(a_{88}=-0.815686744\) \(a_{89}=-1.011246349\) \(a_{90}=-0.054622023\)
\(a_{91}=+0.846818506\) \(a_{92}=+1.465513367\) \(a_{93}=+0.154799854\) \(a_{94}=+0.305283527\) \(a_{95}=+0.337518082\)
\(a_{96}=+1.311566799\) \(a_{97}=-1.538573306\) \(a_{98}=-0.676732976\) \(a_{99}=+0.109526442\) \(a_{100}=-0.964796164\)

Showing 100 of 546 available coefficients

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