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: \( 4.8107831646 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.998462530\) \(a_{3}=+1.239845664\) \(a_{4}=-0.003072576\) \(a_{5}=+0.431937597\)
\(a_{6}=-1.237939439\) \(a_{7}=-1.529629500\) \(a_{8}=+1.001530382\) \(a_{9}=+0.537217271\) \(a_{10}=-0.431273505\)
\(a_{11}=-1.024580457\) \(a_{12}=-0.003809520\) \(a_{13}=-1.500492736\) \(a_{14}=+1.527277741\) \(a_{15}=+0.535535956\)
\(a_{16}=-0.996917983\) \(a_{17}=-0.242535625\) \(a_{18}=-0.536391316\) \(a_{19}=+0.629687733\) \(a_{20}=-0.001327161\)
\(a_{21}=-1.896504504\) \(a_{22}=+1.023005195\) \(a_{23}=+0.065329345\) \(a_{24}=+1.241743102\) \(a_{25}=-0.813429913\)
\(a_{26}=+1.498185773\) \(a_{27}=-0.573779160\) \(a_{28}=+0.004699903\) \(a_{29}=+0.515730102\) \(a_{30}=-0.534712586\)
\(a_{31}=-0.033985066\) \(a_{32}=-0.006145131\) \(a_{33}=-1.270321637\) \(a_{34}=+0.242162734\) \(a_{35}=-0.660704490\)
\(a_{36}=-0.001650641\) \(a_{37}=+1.360879694\) \(a_{38}=-0.628719607\) \(a_{39}=-1.860379413\) \(a_{40}=+0.432598626\)
\(a_{41}=-0.577840856\) \(a_{42}=+1.893588685\) \(a_{43}=+1.090185843\) \(a_{44}=+0.003148102\) \(a_{45}=+0.232044337\)
\(a_{46}=-0.065228904\) \(a_{47}=-0.391317000\) \(a_{48}=-1.236024439\) \(a_{49}=+1.339766408\) \(a_{50}=+0.812179289\)
\(a_{51}=-0.300706743\) \(a_{52}=+0.004610378\) \(a_{53}=+0.569036573\) \(a_{54}=+0.572896991\) \(a_{55}=-0.442554820\)
\(a_{56}=-1.531970418\) \(a_{57}=+0.780715605\) \(a_{58}=-0.514937182\) \(a_{59}=-1.738851545\) \(a_{60}=-0.001645475\)
\(a_{61}=-1.209607797\) \(a_{62}=+0.033932815\) \(a_{63}=-0.821743386\) \(a_{64}=+1.003053666\) \(a_{65}=-0.648119226\)
\(a_{66}=+1.268368556\) \(a_{67}=+1.307523236\) \(a_{68}=+0.000745209\) \(a_{69}=+0.080998306\) \(a_{70}=+0.659688677\)
\(a_{71}=+1.549774371\) \(a_{72}=+0.538039419\) \(a_{73}=-1.057740544\) \(a_{74}=-1.358787382\) \(a_{75}=-1.008527550\)
\(a_{76}=-0.001934764\) \(a_{77}=+1.567228492\) \(a_{78}=+1.857519135\) \(a_{79}=-0.014210409\) \(a_{80}=-0.430606358\)
\(a_{81}=-1.248614875\) \(a_{82}=+0.576952443\) \(a_{83}=-1.613267555\) \(a_{84}=+0.005827155\) \(a_{85}=-0.104760255\)
\(a_{86}=-1.088509715\) \(a_{87}=+0.639425731\) \(a_{88}=-1.026148457\) \(a_{89}=+0.376883075\) \(a_{90}=-0.231687576\)
\(a_{91}=+2.295197954\) \(a_{92}=-0.000200729\) \(a_{93}=-0.042136237\) \(a_{94}=+0.390715362\) \(a_{95}=+0.271985806\)
\(a_{96}=-0.007619014\) \(a_{97}=-0.297667676\) \(a_{98}=-1.337706557\) \(a_{99}=-0.550422317\) \(a_{100}=+0.002499325\)

Showing 100 of 546 available coefficients

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