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: \( 4.0349843595 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.062082091\) \(a_{3}=+0.812610009\) \(a_{4}=-0.996145814\) \(a_{5}=-1.796624545\)
\(a_{6}=+0.050448529\) \(a_{7}=+0.299913956\) \(a_{8}=-0.123924906\) \(a_{9}=-0.339664973\) \(a_{10}=-0.111538209\)
\(a_{11}=+0.428080770\) \(a_{12}=-0.809478059\) \(a_{13}=+0.235028990\) \(a_{14}=+0.018619286\) \(a_{15}=-1.459955089\)
\(a_{16}=+0.988452297\) \(a_{17}=-0.242535625\) \(a_{18}=-0.021087112\) \(a_{19}=-1.411693920\) \(a_{20}=+1.789700020\)
\(a_{21}=+0.243713082\) \(a_{22}=+0.026576149\) \(a_{23}=-0.333674985\) \(a_{24}=-0.100702619\) \(a_{25}=+2.227859756\)
\(a_{26}=+0.014591091\) \(a_{27}=-1.088625166\) \(a_{28}=-0.298758031\) \(a_{29}=-0.945491721\) \(a_{30}=-0.090637065\)
\(a_{31}=-1.148643861\) \(a_{32}=+0.185290092\) \(a_{33}=+0.347862719\) \(a_{34}=-0.015057119\) \(a_{35}=-0.538832774\)
\(a_{36}=+0.338355841\) \(a_{37}=+1.483218668\) \(a_{38}=-0.087640911\) \(a_{39}=+0.190986910\) \(a_{40}=+0.222646528\)
\(a_{41}=-1.184769625\) \(a_{42}=+0.015130218\) \(a_{43}=+0.329182290\) \(a_{44}=-0.426430867\) \(a_{45}=+0.610250427\)
\(a_{46}=-0.020715241\) \(a_{47}=+1.410535642\) \(a_{48}=+0.803226230\) \(a_{49}=-0.910051619\) \(a_{50}=+0.138310192\)
\(a_{51}=-0.197086877\) \(a_{52}=-0.234123145\) \(a_{53}=-0.537184337\) \(a_{54}=-0.067584127\) \(a_{55}=-0.769100419\)
\(a_{56}=-0.037166809\) \(a_{57}=-1.147156610\) \(a_{58}=-0.058698103\) \(a_{59}=-0.972893496\) \(a_{60}=+1.454328150\)
\(a_{61}=+1.263994073\) \(a_{62}=-0.071310213\) \(a_{63}=-0.101870266\) \(a_{64}=-0.976949100\) \(a_{65}=-0.422258853\)
\(a_{66}=+0.021596045\) \(a_{67}=+1.160413433\) \(a_{68}=+0.241600848\) \(a_{69}=-0.271147633\) \(a_{70}=-0.033451865\)
\(a_{71}=-0.939540303\) \(a_{72}=+0.042092950\) \(a_{73}=+0.743584482\) \(a_{74}=+0.092081316\) \(a_{75}=+1.810381138\)
\(a_{76}=+1.406252989\) \(a_{77}=+0.128387397\) \(a_{78}=+0.011856867\) \(a_{79}=+0.238977448\) \(a_{80}=-1.775877658\)
\(a_{81}=-0.544962734\) \(a_{82}=-0.073552976\) \(a_{83}=-0.758216098\) \(a_{84}=-0.242773767\) \(a_{85}=+0.435745457\)
\(a_{86}=+0.020436325\) \(a_{87}=-0.768316037\) \(a_{88}=-0.053049869\) \(a_{89}=-1.089375880\) \(a_{90}=+0.037885623\)
\(a_{91}=+0.070488474\) \(a_{92}=+0.332388940\) \(a_{93}=-0.933399498\) \(a_{94}=+0.087569002\) \(a_{95}=+2.536283947\)
\(a_{96}=+0.150568583\) \(a_{97}=+0.244242685\) \(a_{98}=-0.056497908\) \(a_{99}=-0.145404043\) \(a_{100}=-2.219273170\)

Showing 100 of 546 available coefficients

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