Properties

Level $17$
Weight $0$
Character 17.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 17 \)
Weight: \( 0 \)
Character: 17.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 6.04912725668 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.848624210\) \(a_{3}=+0.972818681\) \(a_{4}=+2.417411470\) \(a_{5}=+0.886125730\)
\(a_{6}=+1.798376165\) \(a_{7}=-1.878048629\) \(a_{8}=+2.620261159\) \(a_{9}=-0.053623814\) \(a_{10}=+1.638113478\)
\(a_{11}=+0.759835277\) \(a_{12}=+2.351703037\) \(a_{13}=-0.394997573\) \(a_{14}=-3.471806164\) \(a_{15}=+0.862039664\)
\(a_{16}=+2.426466745\) \(a_{17}=+0.242535625\) \(a_{18}=-0.099130282\) \(a_{19}=-0.134083751\) \(a_{20}=+2.142130505\)
\(a_{21}=-1.827000790\) \(a_{22}=+1.404649889\) \(a_{23}=-0.790892826\) \(a_{24}=+2.549039004\) \(a_{25}=-0.214781190\)
\(a_{26}=-0.730202076\) \(a_{27}=-1.024984929\) \(a_{28}=-4.540016297\) \(a_{29}=+0.847410667\) \(a_{30}=+1.593587393\)
\(a_{31}=+0.733639527\) \(a_{32}=+1.865364010\) \(a_{33}=+0.739181952\) \(a_{34}=+0.448357228\) \(a_{35}=-1.664187214\)
\(a_{36}=-0.129630824\) \(a_{37}=+0.306678622\) \(a_{38}=-0.247870469\) \(a_{39}=-0.384261018\) \(a_{40}=+2.321880833\)
\(a_{41}=-0.021497784\) \(a_{42}=-3.377437892\) \(a_{43}=-0.958450601\) \(a_{44}=+1.836834514\) \(a_{45}=-0.047517442\)
\(a_{46}=-1.462063626\) \(a_{47}=+0.033753110\) \(a_{48}=+2.360512177\) \(a_{49}=+2.527066654\) \(a_{50}=-0.397049707\)
\(a_{51}=+0.235943187\) \(a_{52}=-0.954871663\) \(a_{53}=+0.170900045\) \(a_{54}=-1.894811955\) \(a_{55}=+0.673309590\)
\(a_{56}=-4.920977878\) \(a_{57}=-0.130439178\) \(a_{58}=+1.566543876\) \(a_{59}=-0.575600726\) \(a_{60}=+2.083904571\)
\(a_{61}=-0.698835628\) \(a_{62}=+1.356223790\) \(a_{63}=+0.100708131\) \(a_{64}=+1.021890325\) \(a_{65}=-0.350017513\)
\(a_{66}=+1.366469652\) \(a_{67}=+1.638661220\) \(a_{68}=+0.586308402\) \(a_{69}=-0.769395316\) \(a_{70}=-3.076456773\)
\(a_{71}=-0.412509501\) \(a_{72}=-0.140508398\) \(a_{73}=+1.493463207\) \(a_{74}=+0.566933526\) \(a_{75}=-0.208943154\)
\(a_{76}=-0.324135599\) \(a_{77}=-1.427007601\) \(a_{78}=-0.710354220\) \(a_{79}=+0.805723428\) \(a_{80}=+2.150154617\)
\(a_{81}=-0.943500672\) \(a_{82}=-0.039741324\) \(a_{83}=+1.389975909\) \(a_{84}=-4.416612665\) \(a_{85}=+0.214917058\)
\(a_{86}=-1.771814985\) \(a_{87}=+0.824376927\) \(a_{88}=+1.990966863\) \(a_{89}=-1.157911269\) \(a_{90}=-0.087841893\)
\(a_{91}=+0.741824650\) \(a_{92}=-1.911913389\) \(a_{93}=+0.713698236\) \(a_{94}=+0.062396815\) \(a_{95}=-0.118815062\)
\(a_{96}=+1.814660956\) \(a_{97}=+1.182642912\) \(a_{98}=+4.671596597\) \(a_{99}=-0.040745266\) \(a_{100}=-0.519214512\)

Showing 100 of 546 available coefficients

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