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: \( 1.97928209991 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.247589957\) \(a_{3}=+1.816176000\) \(a_{4}=-0.938699213\) \(a_{5}=-0.431878789\)
\(a_{6}=-0.449666937\) \(a_{7}=-0.768914642\) \(a_{8}=+0.480002454\) \(a_{9}=+2.298495265\) \(a_{10}=+0.106928851\)
\(a_{11}=+0.334011985\) \(a_{12}=-1.704842983\) \(a_{13}=-0.068507087\) \(a_{14}=+0.190375543\) \(a_{15}=-0.784367891\)
\(a_{16}=+0.819855426\) \(a_{17}=+0.242535625\) \(a_{18}=-0.569084343\) \(a_{19}=+0.196906058\) \(a_{20}=+0.405404279\)
\(a_{21}=-1.396484320\) \(a_{22}=-0.082698013\) \(a_{23}=-0.298406769\) \(a_{24}=+0.871768938\) \(a_{25}=-0.813480712\)
\(a_{26}=+0.016961667\) \(a_{27}=+2.358295936\) \(a_{28}=+0.721779570\) \(a_{29}=+0.551674510\) \(a_{30}=+0.194201612\)
\(a_{31}=-1.613656039\) \(a_{32}=-0.682990424\) \(a_{33}=+0.606624551\) \(a_{34}=-0.060049385\) \(a_{35}=+0.332077924\)
\(a_{36}=-2.157595697\) \(a_{37}=-0.093977641\) \(a_{38}=-0.048751962\) \(a_{39}=-0.124420927\) \(a_{40}=-0.207302879\)
\(a_{41}=+0.975387508\) \(a_{42}=+0.345755492\) \(a_{43}=+0.700085508\) \(a_{44}=-0.313536787\) \(a_{45}=-0.992671351\)
\(a_{46}=+0.073882519\) \(a_{47}=-0.950634409\) \(a_{48}=+1.489001749\) \(a_{49}=-0.408770273\) \(a_{50}=+0.201409654\)
\(a_{51}=+0.440487381\) \(a_{52}=+0.064307549\) \(a_{53}=+1.439877731\) \(a_{54}=-0.583890389\) \(a_{55}=-0.144252691\)
\(a_{56}=-0.369080916\) \(a_{57}=+0.357616056\) \(a_{58}=-0.136589068\) \(a_{59}=+0.730577163\) \(a_{60}=+0.736285522\)
\(a_{61}=+0.074580372\) \(a_{62}=+0.399525029\) \(a_{63}=-1.767346664\) \(a_{64}=-0.650753857\) \(a_{65}=+0.029586758\)
\(a_{66}=-0.150194146\) \(a_{67}=-1.254257261\) \(a_{68}=-0.227668000\) \(a_{69}=-0.541959212\) \(a_{70}=-0.082219159\)
\(a_{71}=-0.420727250\) \(a_{72}=+1.103283369\) \(a_{73}=+1.154630371\) \(a_{74}=+0.023267920\) \(a_{75}=-1.477424146\)
\(a_{76}=-0.184835561\) \(a_{77}=-0.256826706\) \(a_{78}=+0.030805372\) \(a_{79}=+1.388747369\) \(a_{80}=-0.354078168\)
\(a_{81}=+1.984585217\) \(a_{82}=-0.241496151\) \(a_{83}=-0.108898732\) \(a_{84}=+1.310878733\) \(a_{85}=-0.104745992\)
\(a_{86}=-0.173334141\) \(a_{87}=+1.001938006\) \(a_{88}=+0.160326572\) \(a_{89}=-1.653694110\) \(a_{90}=+0.245775457\)
\(a_{91}=+0.052676102\) \(a_{92}=+0.280114199\) \(a_{93}=-2.930683371\) \(a_{94}=+0.235367532\) \(a_{95}=-0.085039550\)
\(a_{96}=-1.240430817\) \(a_{97}=+1.458861900\) \(a_{98}=+0.101207414\) \(a_{99}=+0.767724965\) \(a_{100}=+0.763613704\)

Showing 100 of 546 available coefficients

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