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: \( 1.96798635964 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.840039075\) \(a_{3}=-0.821796443\) \(a_{4}=+2.385743796\) \(a_{5}=-0.847560386\)
\(a_{6}=+1.512137567\) \(a_{7}=-0.275254117\) \(a_{8}=-2.549822733\) \(a_{9}=-0.324650606\) \(a_{10}=+1.559544228\)
\(a_{11}=+0.837524895\) \(a_{12}=-1.960595766\) \(a_{13}=-0.789329970\) \(a_{14}=+0.506478330\) \(a_{15}=+0.696522110\)
\(a_{16}=+2.306029666\) \(a_{17}=-0.242535625\) \(a_{18}=+0.597369801\) \(a_{19}=-0.341915950\) \(a_{20}=-2.022061932\)
\(a_{21}=+0.226202854\) \(a_{22}=-1.541078534\) \(a_{23}=-0.600288521\) \(a_{24}=+2.095435253\) \(a_{25}=-0.281641393\)
\(a_{26}=+1.452397987\) \(a_{27}=+1.088593156\) \(a_{28}=-0.656685802\) \(a_{29}=-0.545294833\) \(a_{30}=-1.281627899\)
\(a_{31}=+0.320119230\) \(a_{32}=-1.693361960\) \(a_{33}=-0.688274980\) \(a_{34}=+0.446275027\) \(a_{35}=+0.233294485\)
\(a_{36}=-0.774533169\) \(a_{37}=+1.973318722\) \(a_{38}=+0.629138708\) \(a_{39}=+0.648668562\) \(a_{40}=+2.161128739\)
\(a_{41}=-1.432667607\) \(a_{42}=-0.416222090\) \(a_{43}=-1.294341690\) \(a_{44}=+1.998119824\) \(a_{45}=+0.275160993\)
\(a_{46}=+1.104554334\) \(a_{47}=-0.517974099\) \(a_{48}=-1.895086977\) \(a_{49}=-0.924235171\) \(a_{50}=+0.518231168\)
\(a_{51}=+0.199314914\) \(a_{52}=-1.883139079\) \(a_{53}=+0.562981512\) \(a_{54}=-2.003053944\) \(a_{55}=-0.709852923\)
\(a_{56}=+0.701849204\) \(a_{57}=+0.280985311\) \(a_{58}=+1.003363800\) \(a_{59}=-0.289473140\) \(a_{60}=+1.661723304\)
\(a_{61}=-0.457779482\) \(a_{62}=-0.589031892\) \(a_{63}=+0.089361416\) \(a_{64}=+0.809822507\) \(a_{65}=+0.669004814\)
\(a_{66}=+1.266452858\) \(a_{67}=+0.766041223\) \(a_{68}=-0.578627863\) \(a_{69}=+0.493314971\) \(a_{70}=-0.429270969\)
\(a_{71}=+1.572754432\) \(a_{72}=+0.827801495\) \(a_{73}=-0.565774244\) \(a_{74}=-3.630983555\) \(a_{75}=+0.231451895\)
\(a_{76}=-0.815723856\) \(a_{77}=-0.230532175\) \(a_{78}=-1.193575500\) \(a_{79}=+0.625588150\) \(a_{80}=-1.954499393\)
\(a_{81}=-0.569951378\) \(a_{82}=+2.636164377\) \(a_{83}=+0.556308405\) \(a_{84}=+0.539662056\) \(a_{85}=+0.205563588\)
\(a_{86}=+2.381639286\) \(a_{87}=+0.448121354\) \(a_{88}=-2.135540018\) \(a_{89}=-1.096019761\) \(a_{90}=-0.506306979\)
\(a_{91}=+0.217266324\) \(a_{92}=-1.432134614\) \(a_{93}=-0.263072845\) \(a_{94}=+0.953092583\) \(a_{95}=+0.289794414\)
\(a_{96}=+1.391598835\) \(a_{97}=-1.012537622\) \(a_{98}=+1.700628829\) \(a_{99}=-0.271902965\) \(a_{100}=-0.671924206\)

Showing 100 of 546 available coefficients

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