Properties

Level $5$
Weight $0$
Character 5.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 10.045820825 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.766049972\) \(a_{3}=-1.515675468\) \(a_{4}=-0.413167440\) \(a_{5}=+0.447213595\)
\(a_{6}=-1.161083143\) \(a_{7}=+1.452995700\) \(a_{8}=-1.082556874\) \(a_{9}=+1.297272124\) \(a_{10}=+0.342587965\)
\(a_{11}=+1.181983865\) \(a_{12}=+0.626227751\) \(a_{13}=-0.099586167\) \(a_{14}=+1.113067311\) \(a_{15}=-0.677830680\)
\(a_{16}=-0.416125189\) \(a_{17}=+0.991163869\) \(a_{18}=+0.993775278\) \(a_{19}=+0.129421300\) \(a_{20}=-0.184774097\)
\(a_{21}=-2.202269942\) \(a_{22}=+0.905458706\) \(a_{23}=-0.405895619\) \(a_{24}=+1.640804904\) \(a_{25}=+0.199951172\)
\(a_{26}=-0.076287986\) \(a_{27}=-0.450568071\) \(a_{28}=-0.600330515\) \(a_{29}=+0.327474907\) \(a_{30}=-0.519252170\)
\(a_{31}=+0.407564624\) \(a_{32}=+0.763784158\) \(a_{33}=-1.791503947\) \(a_{34}=+0.759281137\) \(a_{35}=+0.649799427\)
\(a_{36}=-0.535990602\) \(a_{37}=+0.875336769\) \(a_{38}=+0.099143171\) \(a_{39}=+0.150940330\) \(a_{40}=-0.484134147\)
\(a_{41}=+0.013886851\) \(a_{42}=-1.687048814\) \(a_{43}=+1.000223500\) \(a_{44}=-0.488357287\) \(a_{45}=+0.580157734\)
\(a_{46}=-0.310936327\) \(a_{47}=-0.083422187\) \(a_{48}=+0.630710799\) \(a_{49}=+1.111196517\) \(a_{50}=+0.153209992\)
\(a_{51}=-1.502282927\) \(a_{52}=+0.041145766\) \(a_{53}=+1.082013118\) \(a_{54}=-0.345157668\) \(a_{55}=+0.528599252\)
\(a_{56}=-1.572950464\) \(a_{57}=-0.196160695\) \(a_{58}=+0.250862099\) \(a_{59}=-1.870043591\) \(a_{60}=+0.280057601\)
\(a_{61}=+1.229331578\) \(a_{62}=+0.312214882\) \(a_{63}=+1.884930938\) \(a_{64}=+1.001222063\) \(a_{65}=-0.044536302\)
\(a_{66}=-1.372381555\) \(a_{67}=-1.285079701\) \(a_{68}=-0.409516682\) \(a_{69}=+0.615206019\) \(a_{70}=+0.497778847\)
\(a_{71}=-0.571868728\) \(a_{72}=-1.404370900\) \(a_{73}=+0.672550085\) \(a_{74}=+0.670551748\) \(a_{75}=-0.303135075\)
\(a_{76}=-0.053472704\) \(a_{77}=+1.717417481\) \(a_{78}=+0.115627901\) \(a_{79}=-1.746466807\) \(a_{80}=-0.186096960\)
\(a_{81}=-0.614356986\) \(a_{82}=+0.010638151\) \(a_{83}=+1.433918582\) \(a_{84}=+0.909906275\) \(a_{85}=+0.443262260\)
\(a_{86}=+0.766220815\) \(a_{87}=-0.496346035\) \(a_{88}=-1.279564357\) \(a_{89}=-1.249100666\) \(a_{90}=+0.444429174\)
\(a_{91}=-0.144698628\) \(a_{92}=+0.167704081\) \(a_{93}=-0.617736481\) \(a_{94}=-0.063907936\) \(a_{95}=+0.057880751\)
\(a_{96}=-1.157645271\) \(a_{97}=+0.523539544\) \(a_{98}=+0.851230952\) \(a_{99}=+1.533358716\) \(a_{100}=-0.082634980\)

Showing 100 of 5000 available coefficients

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