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: \( 5.04213569759 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.026683558\) \(a_{3}=-0.311692016\) \(a_{4}=+0.054079129\) \(a_{5}=-0.155822458\)
\(a_{6}=-0.320009068\) \(a_{7}=-1.199039515\) \(a_{8}=-0.971161406\) \(a_{9}=-0.902848087\) \(a_{10}=-0.159980356\)
\(a_{11}=+0.230136121\) \(a_{12}=-0.016856033\) \(a_{13}=+1.236265776\) \(a_{14}=-1.231034156\) \(a_{15}=+0.048568616\)
\(a_{16}=-1.051154577\) \(a_{17}=-0.242535625\) \(a_{18}=-0.926939287\) \(a_{19}=+0.060919337\) \(a_{20}=-0.008426743\)
\(a_{21}=+0.373731043\) \(a_{22}=+0.236276972\) \(a_{23}=+0.758776460\) \(a_{24}=+0.302703256\) \(a_{25}=-0.975719362\)
\(a_{26}=+1.269253746\) \(a_{27}=+0.593102556\) \(a_{28}=-0.064843012\) \(a_{29}=-1.157212302\) \(a_{30}=+0.049864599\)
\(a_{31}=-0.656245276\) \(a_{32}=-0.108041715\) \(a_{33}=-0.071731591\) \(a_{34}=-0.249007339\) \(a_{35}=+0.186837284\)
\(a_{36}=-0.048825238\) \(a_{37}=-0.284060583\) \(a_{38}=+0.062544882\) \(a_{39}=-0.385334171\) \(a_{40}=+0.151328757\)
\(a_{41}=+1.371366399\) \(a_{42}=+0.383703517\) \(a_{43}=-1.175466278\) \(a_{44}=+0.012445561\) \(a_{45}=+0.140684008\)
\(a_{46}=+0.779023316\) \(a_{47}=-0.167952459\) \(a_{48}=+0.327636489\) \(a_{49}=+0.437695759\) \(a_{50}=-1.001755026\)
\(a_{51}=+0.075596418\) \(a_{52}=+0.066856176\) \(a_{53}=-0.615142109\) \(a_{54}=+0.608928642\) \(a_{55}=-0.035860376\)
\(a_{56}=+1.164460901\) \(a_{57}=-0.018988071\) \(a_{58}=-1.188090844\) \(a_{59}=+0.533103458\) \(a_{60}=+0.002626548\)
\(a_{61}=-1.836172581\) \(a_{62}=-0.673756235\) \(a_{63}=+1.082550533\) \(a_{64}=+0.940229924\) \(a_{65}=-0.192637972\)
\(a_{66}=-0.073645646\) \(a_{67}=-1.416626890\) \(a_{68}=-0.013116115\) \(a_{69}=-0.236504564\) \(a_{70}=+0.191822768\)
\(a_{71}=-0.818469656\) \(a_{72}=+0.876811218\) \(a_{73}=+1.490200144\) \(a_{74}=-0.291640330\) \(a_{75}=+0.304123934\)
\(a_{76}=+0.003294465\) \(a_{77}=-0.275942303\) \(a_{78}=-0.395616258\) \(a_{79}=+1.286427096\) \(a_{80}=+0.163793490\)
\(a_{81}=+0.717982756\) \(a_{82}=+1.407959334\) \(a_{83}=-0.147620423\) \(a_{84}=+0.020211049\) \(a_{85}=+0.037792497\)
\(a_{86}=-1.206831901\) \(a_{87}=+0.360693835\) \(a_{88}=-0.223499319\) \(a_{89}=-1.766340919\) \(a_{90}=+0.144437958\)
\(a_{91}=-1.482331517\) \(a_{92}=+0.041033970\) \(a_{93}=+0.204546413\) \(a_{94}=-0.172434029\) \(a_{95}=-0.009492601\)
\(a_{96}=+0.033675740\) \(a_{97}=-0.750833545\) \(a_{98}=+0.449375040\) \(a_{99}=-0.207777957\) \(a_{100}=-0.052766053\)

Showing 100 of 546 available coefficients

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