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: \( 7.14170556725 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.642368691\) \(a_{3}=-0.966660318\) \(a_{4}=+1.697374916\) \(a_{5}=-0.083343559\)
\(a_{6}=-1.587612641\) \(a_{7}=-0.473234741\) \(a_{8}=+1.145346728\) \(a_{9}=-0.065567830\) \(a_{10}=-0.136880851\)
\(a_{11}=-0.841088980\) \(a_{12}=-1.640784976\) \(a_{13}=-0.375856678\) \(a_{14}=-0.777225922\) \(a_{15}=+0.080564911\)
\(a_{16}=+0.183706690\) \(a_{17}=-0.242535625\) \(a_{18}=-0.107686551\) \(a_{19}=-1.681874401\) \(a_{20}=-0.141465266\)
\(a_{21}=+0.457457245\) \(a_{22}=-1.381378207\) \(a_{23}=+0.885953708\) \(a_{24}=-1.107161232\) \(a_{25}=-0.993053851\)
\(a_{26}=-0.617295240\) \(a_{27}=+1.030042137\) \(a_{28}=-0.803256778\) \(a_{29}=+0.195914028\) \(a_{30}=+0.132317287\)
\(a_{31}=+1.269352006\) \(a_{32}=-0.843632613\) \(a_{33}=+0.813047341\) \(a_{34}=-0.398332917\) \(a_{35}=+0.039441067\)
\(a_{36}=-0.111293190\) \(a_{37}=+0.471426006\) \(a_{38}=-2.762257858\) \(a_{39}=+0.363325736\) \(a_{40}=-0.095457272\)
\(a_{41}=+0.868247996\) \(a_{42}=+0.751313456\) \(a_{43}=+0.924421116\) \(a_{44}=-1.427643337\) \(a_{45}=+0.005464656\)
\(a_{46}=+1.455062631\) \(a_{47}=-0.733680402\) \(a_{48}=-0.177581967\) \(a_{49}=-0.776048880\) \(a_{50}=-1.630960553\)
\(a_{51}=+0.234449564\) \(a_{52}=-0.637969697\) \(a_{53}=+0.678820913\) \(a_{54}=+1.691708956\) \(a_{55}=+0.070099349\)
\(a_{56}=-0.542017862\) \(a_{57}=+1.625801243\) \(a_{58}=+0.321763065\) \(a_{59}=-0.974826793\) \(a_{60}=+0.136748859\)
\(a_{61}=-1.298604232\) \(a_{62}=+2.084743993\) \(a_{63}=+0.031028975\) \(a_{64}=-1.569262479\) \(a_{65}=+0.031325233\)
\(a_{66}=+1.335323496\) \(a_{67}=+1.095199665\) \(a_{68}=-0.411673886\) \(a_{69}=-0.856416293\) \(a_{70}=+0.064776774\)
\(a_{71}=-1.873001952\) \(a_{72}=-0.075097899\) \(a_{73}=-1.598334835\) \(a_{74}=+0.774255312\) \(a_{75}=+0.959945751\)
\(a_{76}=-2.854771420\) \(a_{77}=+0.398032525\) \(a_{78}=+0.596714813\) \(a_{79}=+0.796890250\) \(a_{80}=-0.015310769\)
\(a_{81}=-0.930133030\) \(a_{82}=+1.425983325\) \(a_{83}=+1.014858132\) \(a_{84}=+0.776476453\) \(a_{85}=+0.020213782\)
\(a_{86}=+1.518240298\) \(a_{87}=-0.189382316\) \(a_{88}=-0.963338511\) \(a_{89}=+1.333615824\) \(a_{90}=+0.008974980\)
\(a_{91}=+0.177868438\) \(a_{92}=+1.503795601\) \(a_{93}=-1.227032214\) \(a_{94}=-1.204973721\) \(a_{95}=+0.140173398\)
\(a_{96}=+0.815506169\) \(a_{97}=-0.870249662\) \(a_{98}=-1.274558383\) \(a_{99}=+0.055148379\) \(a_{100}=-1.685584697\)

Showing 100 of 546 available coefficients

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