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: \( 4.09967453245 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.422953216\) \(a_{3}=-1.167048379\) \(a_{4}=+1.024795856\) \(a_{5}=-0.337333894\)
\(a_{6}=+1.660655245\) \(a_{7}=-0.998024330\) \(a_{8}=-0.035283343\) \(a_{9}=+0.362001920\) \(a_{10}=+0.480010350\)
\(a_{11}=-0.312640746\) \(a_{12}=-1.195986343\) \(a_{13}=+1.473628088\) \(a_{14}=+1.420141930\) \(a_{15}=+0.393684975\)
\(a_{16}=-0.974589309\) \(a_{17}=+0.242535625\) \(a_{18}=-0.515111797\) \(a_{19}=-1.541903208\) \(a_{20}=-0.345698377\)
\(a_{21}=+1.164742677\) \(a_{22}=+0.444873155\) \(a_{23}=+1.617228580\) \(a_{24}=+0.041177369\) \(a_{25}=-0.886205844\)
\(a_{26}=-2.096903828\) \(a_{27}=+0.744574625\) \(a_{28}=-1.022771198\) \(a_{29}=+0.767824276\) \(a_{30}=-0.560195301\)
\(a_{31}=+0.389559718\) \(a_{32}=+1.422078336\) \(a_{33}=+0.364866876\) \(a_{34}=-0.345116848\) \(a_{35}=+0.336667434\)
\(a_{36}=+0.370978068\) \(a_{37}=-0.239060375\) \(a_{38}=+2.194056129\) \(a_{39}=-1.719795272\) \(a_{40}=+0.011902268\)
\(a_{41}=+0.487300589\) \(a_{42}=-1.657374339\) \(a_{43}=-0.355814364\) \(a_{44}=-0.320392941\) \(a_{45}=-0.122115517\)
\(a_{46}=-2.301240609\) \(a_{47}=-0.781365251\) \(a_{48}=+1.137392874\) \(a_{49}=-0.003947437\) \(a_{50}=+1.261029456\)
\(a_{51}=-0.283050808\) \(a_{52}=+1.510167958\) \(a_{53}=+1.499853680\) \(a_{54}=-1.059494858\) \(a_{55}=+0.105464320\)
\(a_{56}=+0.035213635\) \(a_{57}=+1.799475640\) \(a_{58}=-1.092578023\) \(a_{59}=-0.419656065\) \(a_{60}=+0.403446731\)
\(a_{61}=+1.613167290\) \(a_{62}=-0.554325253\) \(a_{63}=-0.361286724\) \(a_{64}=-1.048961633\) \(a_{65}=-0.497104702\)
\(a_{66}=-0.519188495\) \(a_{67}=+0.586056530\) \(a_{68}=+0.248549504\) \(a_{69}=-1.887383993\) \(a_{70}=-0.479062008\)
\(a_{71}=+0.227440771\) \(a_{72}=-0.012772638\) \(a_{73}=-0.200639554\) \(a_{74}=+0.340171730\) \(a_{75}=+1.034245094\)
\(a_{76}=-1.580136018\) \(a_{77}=+0.312023071\) \(a_{78}=+2.447188214\) \(a_{79}=+0.372719364\) \(a_{80}=+0.328762007\)
\(a_{81}=-1.230956530\) \(a_{82}=-0.693405941\) \(a_{83}=-1.347177967\) \(a_{84}=+1.193623469\) \(a_{85}=-0.081815487\)
\(a_{86}=+0.506307193\) \(a_{87}=-0.896088077\) \(a_{88}=+0.011031011\) \(a_{89}=+1.440767006\) \(a_{90}=+0.173764668\)
\(a_{91}=-1.470716685\) \(a_{92}=+1.657329147\) \(a_{93}=-0.454635037\) \(a_{94}=+1.111846198\) \(a_{95}=+0.520136214\)
\(a_{96}=-1.659634217\) \(a_{97}=+0.719468760\) \(a_{98}=+0.005617018\) \(a_{99}=-0.113176550\) \(a_{100}=-0.908180076\)

Showing 100 of 546 available coefficients

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