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: \( 3.78293234039 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.777299497\) \(a_{3}=+1.395552312\) \(a_{4}=+2.158793502\) \(a_{5}=-0.332193803\)
\(a_{6}=+2.480314422\) \(a_{7}=+0.525142623\) \(a_{8}=+2.059523109\) \(a_{9}=+0.947566254\) \(a_{10}=-0.590407880\)
\(a_{11}=+0.404547723\) \(a_{12}=+3.012709263\) \(a_{13}=-1.687459821\) \(a_{14}=+0.933335719\) \(a_{15}=-0.463593830\)
\(a_{16}=+1.501595884\) \(a_{17}=+1.031766359\) \(a_{18}=+1.684109027\) \(a_{19}=-0.216266622\) \(a_{20}=-0.717137824\)
\(a_{21}=+0.732864001\) \(a_{22}=+0.719002466\) \(a_{23}=+0.386938449\) \(a_{24}=+2.874172236\) \(a_{25}=-0.889647277\)
\(a_{26}=-2.999121491\) \(a_{27}=-0.073174035\) \(a_{28}=+1.133674482\) \(a_{29}=+1.626695039\) \(a_{30}=-0.823945081\)
\(a_{31}=-0.267711698\) \(a_{32}=+0.609262500\) \(a_{33}=+0.564567511\) \(a_{34}=+1.833757831\) \(a_{35}=-0.174449125\)
\(a_{36}=+2.045599873\) \(a_{37}=-1.452235900\) \(a_{38}=-0.384370558\) \(a_{39}=-2.354938454\) \(a_{40}=-0.684160815\)
\(a_{41}=-0.382098284\) \(a_{42}=+1.302518820\) \(a_{43}=-1.366614523\) \(a_{44}=+0.873334997\) \(a_{45}=-0.314775638\)
\(a_{46}=+0.687705510\) \(a_{47}=+0.059529553\) \(a_{48}=+2.095555606\) \(a_{49}=-0.724225226\) \(a_{50}=-1.581169658\)
\(a_{51}=+1.439883927\) \(a_{52}=-3.642877296\) \(a_{53}=-0.883539972\) \(a_{54}=-0.130052175\) \(a_{55}=-0.134388247\)
\(a_{56}=+1.081543367\) \(a_{57}=-0.301811384\) \(a_{58}=+2.891124275\) \(a_{59}=+1.941636387\) \(a_{60}=-1.000803348\)
\(a_{61}=+0.679951814\) \(a_{62}=-0.475803866\) \(a_{63}=+0.497607428\) \(a_{64}=-0.418753949\) \(a_{65}=+0.560563696\)
\(a_{66}=+1.003405553\) \(a_{67}=+1.506111152\) \(a_{68}=+2.227370512\) \(a_{69}=+0.539992846\) \(a_{70}=-0.310048342\)
\(a_{71}=-0.602985909\) \(a_{72}=+1.951534598\) \(a_{73}=+0.117041147\) \(a_{74}=-2.581058135\) \(a_{75}=-1.241549314\)
\(a_{76}=-0.466874978\) \(a_{77}=+0.212445253\) \(a_{78}=-4.185430929\) \(a_{79}=+1.113033648\) \(a_{80}=-0.498820848\)
\(a_{81}=-1.049684448\) \(a_{82}=-0.679103088\) \(a_{83}=+0.451295659\) \(a_{84}=+1.582102044\) \(a_{85}=-0.342746391\)
\(a_{86}=-2.428883305\) \(a_{87}=+2.270138022\) \(a_{88}=+0.833175385\) \(a_{89}=+0.381514531\) \(a_{90}=-0.559450583\)
\(a_{91}=-0.886157076\) \(a_{92}=+0.835320209\) \(a_{93}=-0.373605679\) \(a_{94}=+0.105801844\) \(a_{95}=+0.071842432\)
\(a_{96}=+0.850257690\) \(a_{97}=+0.148350302\) \(a_{98}=-1.287165130\) \(a_{99}=+0.383335771\) \(a_{100}=-1.920564761\)

Showing 100 of 546 available coefficients

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