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: \( 4.55176008183 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.220894440\) \(a_{3}=-0.458960171\) \(a_{4}=-0.951205646\) \(a_{5}=+1.356856570\)
\(a_{6}=+0.101381750\) \(a_{7}=+1.291638108\) \(a_{8}=+0.431010480\) \(a_{9}=-0.789355561\) \(a_{10}=-0.299722073\)
\(a_{11}=+0.592521151\) \(a_{12}=+0.436565506\) \(a_{13}=+0.595713565\) \(a_{14}=-0.285315677\) \(a_{15}=-0.622743124\)
\(a_{16}=+0.855997827\) \(a_{17}=+0.242535625\) \(a_{18}=+0.174364255\) \(a_{19}=+1.698446060\) \(a_{20}=-1.290649630\)
\(a_{21}=-0.592810448\) \(a_{22}=-0.130884628\) \(a_{23}=-1.178002954\) \(a_{24}=-0.197816644\) \(a_{25}=+0.841059751\)
\(a_{26}=-0.131589815\) \(a_{27}=+0.821242935\) \(a_{28}=-1.228613461\) \(a_{29}=+1.385380173\) \(a_{30}=+0.137560494\)
\(a_{31}=-0.553109417\) \(a_{32}=-0.620095641\) \(a_{33}=-0.271943609\) \(a_{34}=-0.053574771\) \(a_{35}=+1.752567653\)
\(a_{36}=+0.750839466\) \(a_{37}=+0.177684161\) \(a_{38}=-0.375177292\) \(a_{39}=-0.273408800\) \(a_{40}=+0.584819401\)
\(a_{41}=-0.506514591\) \(a_{42}=+0.130948532\) \(a_{43}=-1.294932279\) \(a_{44}=-0.563609464\) \(a_{45}=-1.071042279\)
\(a_{46}=+0.260214303\) \(a_{47}=+0.292963209\) \(a_{48}=-0.392868910\) \(a_{49}=+0.668329002\) \(a_{50}=-0.185785423\)
\(a_{51}=-0.111314192\) \(a_{52}=-0.566646107\) \(a_{53}=+1.665973898\) \(a_{54}=-0.181407999\) \(a_{55}=+0.803966216\)
\(a_{56}=+0.556709560\) \(a_{57}=-0.779519095\) \(a_{58}=-0.306022778\) \(a_{59}=+0.502709152\) \(a_{60}=+0.592356776\)
\(a_{61}=+0.296730834\) \(a_{62}=+0.122178795\) \(a_{63}=-1.019561723\) \(a_{64}=-0.719022148\) \(a_{65}=+0.808297865\)
\(a_{66}=+0.060070831\) \(a_{67}=+0.397508386\) \(a_{68}=-0.230701256\) \(a_{69}=+0.540656438\) \(a_{70}=-0.387132451\)
\(a_{71}=-0.662019611\) \(a_{72}=-0.340220519\) \(a_{73}=-0.100287595\) \(a_{74}=-0.039249443\) \(a_{75}=-0.386012928\)
\(a_{76}=-1.615571482\) \(a_{77}=+0.765322898\) \(a_{78}=+0.060394484\) \(a_{79}=-0.417038848\) \(a_{80}=+1.161466276\)
\(a_{81}=+0.412437763\) \(a_{82}=+0.111886257\) \(a_{83}=-1.465043491\) \(a_{84}=+0.563884645\) \(a_{85}=+0.329086056\)
\(a_{86}=+0.286043341\) \(a_{87}=-0.635834322\) \(a_{88}=+0.255382825\) \(a_{89}=-0.619927198\) \(a_{90}=+0.236587285\)
\(a_{91}=+0.769446342\) \(a_{92}=+1.120523061\) \(a_{93}=+0.253855193\) \(a_{94}=-0.064713944\) \(a_{95}=+2.304547695\)
\(a_{96}=+0.284599202\) \(a_{97}=-1.667415669\) \(a_{98}=-0.147630161\) \(a_{99}=-0.467709865\) \(a_{100}=-0.800020784\)

Showing 100 of 546 available coefficients

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