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: \( 5.28028460824 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.309095318\) \(a_{3}=-1.483285055\) \(a_{4}=-0.904460084\) \(a_{5}=-1.295589737\)
\(a_{6}=+0.458476466\) \(a_{7}=+0.166690200\) \(a_{8}=+0.588659695\) \(a_{9}=+1.200134554\) \(a_{10}=+0.400460722\)
\(a_{11}=-0.917891002\) \(a_{12}=+1.341572126\) \(a_{13}=-1.697110477\) \(a_{14}=-0.051523160\) \(a_{15}=+1.921728895\)
\(a_{16}=+0.722508129\) \(a_{17}=+0.242535625\) \(a_{18}=-0.370955972\) \(a_{19}=-0.834783122\) \(a_{20}=+1.171809203\)
\(a_{21}=-0.247249083\) \(a_{22}=+0.283715811\) \(a_{23}=-0.297152597\) \(a_{24}=-0.873150129\) \(a_{25}=+0.678552768\)
\(a_{26}=+0.524568902\) \(a_{27}=-0.296856593\) \(a_{28}=-0.150764632\) \(a_{29}=-1.128564795\) \(a_{30}=-0.593997404\)
\(a_{31}=+1.322101087\) \(a_{32}=-0.811983575\) \(a_{33}=+1.361494006\) \(a_{34}=-0.074966626\) \(a_{35}=-0.215962113\)
\(a_{36}=-1.085473800\) \(a_{37}=+0.780688868\) \(a_{38}=+0.258027555\) \(a_{39}=+2.517298607\) \(a_{40}=-0.762661460\)
\(a_{41}=+0.782856072\) \(a_{42}=+0.076423534\) \(a_{43}=-1.927479253\) \(a_{44}=+0.830195773\) \(a_{45}=-1.554882012\)
\(a_{46}=+0.091848477\) \(a_{47}=-0.314059353\) \(a_{48}=-1.071685509\) \(a_{49}=-0.972214377\) \(a_{50}=-0.209737484\)
\(a_{51}=-0.359749468\) \(a_{52}=+1.534968685\) \(a_{53}=+0.545540971\) \(a_{54}=+0.091756983\) \(a_{55}=+1.189210163\)
\(a_{56}=+0.098123802\) \(a_{57}=+1.238221329\) \(a_{58}=+0.348834094\) \(a_{59}=+0.117487713\) \(a_{60}=-1.738127078\)
\(a_{61}=-0.748120260\) \(a_{62}=-0.408655256\) \(a_{63}=+0.200050669\) \(a_{64}=-0.471527807\) \(a_{65}=+2.198758917\)
\(a_{66}=-0.420831423\) \(a_{67}=-0.367816668\) \(a_{68}=-0.219363792\) \(a_{69}=+0.440762007\) \(a_{70}=+0.066752878\)
\(a_{71}=-0.280460073\) \(a_{72}=+0.706470841\) \(a_{73}=+0.718476380\) \(a_{74}=-0.241307274\) \(a_{75}=-1.006487179\)
\(a_{76}=+0.755028013\) \(a_{77}=-0.153003435\) \(a_{78}=-0.778085213\) \(a_{79}=-1.806851757\) \(a_{80}=-0.936074117\)
\(a_{81}=-0.759811606\) \(a_{82}=-0.241977147\) \(a_{83}=+1.280547592\) \(a_{84}=+0.223626926\) \(a_{85}=-0.314226667\)
\(a_{86}=+0.595774813\) \(a_{87}=+1.673983293\) \(a_{88}=-0.540325438\) \(a_{89}=+0.823747745\) \(a_{90}=+0.480606750\)
\(a_{91}=-0.282891685\) \(a_{92}=+0.268762663\) \(a_{93}=-1.961052784\) \(a_{94}=+0.097074276\) \(a_{95}=+1.081536446\)
\(a_{96}=+1.204403102\) \(a_{97}=+0.941993949\) \(a_{98}=+0.300506912\) \(a_{99}=-1.101592709\) \(a_{100}=-0.613723894\)

Showing 100 of 546 available coefficients

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