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: \( 12.6585068804 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.010444783\) \(a_{3}=+0.912434390\) \(a_{4}=+0.020998660\) \(a_{5}=-0.447213595\)
\(a_{6}=+0.921964569\) \(a_{7}=-1.775925383\) \(a_{8}=-0.989226797\) \(a_{9}=-0.167463484\) \(a_{10}=-0.451884645\)
\(a_{11}=-0.229721212\) \(a_{12}=+0.019159900\) \(a_{13}=+1.615814554\) \(a_{14}=-1.794474538\) \(a_{15}=-0.408053064\)
\(a_{16}=-1.020557716\) \(a_{17}=-0.585857745\) \(a_{18}=-0.169212604\) \(a_{19}=-0.250685290\) \(a_{20}=-0.009390886\)
\(a_{21}=-1.620415391\) \(a_{22}=-0.232120601\) \(a_{23}=+0.074755891\) \(a_{24}=-0.902604549\) \(a_{25}=+0.200000000\)
\(a_{26}=+1.632691387\) \(a_{27}=-1.065233832\) \(a_{28}=-0.037292053\) \(a_{29}=-0.598600187\) \(a_{30}=-0.412315090\)
\(a_{31}=+0.744022462\) \(a_{32}=-0.041990424\) \(a_{33}=-0.209605534\) \(a_{34}=-0.591976902\) \(a_{35}=+0.794217976\)
\(a_{36}=-0.003516509\) \(a_{37}=-0.334032386\) \(a_{38}=-0.253303643\) \(a_{39}=+1.474324767\) \(a_{40}=+0.442395673\)
\(a_{41}=-0.694615019\) \(a_{42}=-1.637340280\) \(a_{43}=-0.079760182\) \(a_{44}=-0.004823838\) \(a_{45}=+0.074891947\)
\(a_{46}=+0.075536700\) \(a_{47}=+1.114950716\) \(a_{48}=-0.931191957\) \(a_{49}=+2.153910965\) \(a_{50}=+0.202088956\)
\(a_{51}=-0.534556754\) \(a_{52}=+0.033929940\) \(a_{53}=-1.907203121\) \(a_{54}=-1.076359967\) \(a_{55}=+0.102734448\)
\(a_{56}=+1.756792977\) \(a_{57}=-0.228733874\) \(a_{58}=-0.604852443\) \(a_{59}=+0.712708153\) \(a_{60}=-0.008568546\)
\(a_{61}=-0.431825871\) \(a_{62}=+0.751793582\) \(a_{63}=+0.297402717\) \(a_{64}=+0.978128676\) \(a_{65}=-0.722614237\)
\(a_{66}=-0.211794818\) \(a_{67}=-1.177416716\) \(a_{68}=-0.012302228\) \(a_{69}=+0.068209846\) \(a_{70}=+0.802513410\)
\(a_{71}=-0.834577843\) \(a_{72}=+0.165659366\) \(a_{73}=-0.109687023\) \(a_{74}=-0.337521282\) \(a_{75}=+0.182486878\)
\(a_{76}=-0.005264055\) \(a_{77}=+0.407967732\) \(a_{78}=+1.489723769\) \(a_{79}=-0.890387374\) \(a_{80}=+0.456407286\)
\(a_{81}=-0.804492497\) \(a_{82}=-0.701870123\) \(a_{83}=+1.153501579\) \(a_{84}=-0.034026551\) \(a_{85}=+0.262003548\)
\(a_{86}=-0.080593261\) \(a_{87}=-0.546183395\) \(a_{88}=+0.227246382\) \(a_{89}=+0.203728490\) \(a_{90}=+0.075674176\)
\(a_{91}=-2.869566075\) \(a_{92}=+0.001569772\) \(a_{93}=+0.678871670\) \(a_{94}=+1.126596140\) \(a_{95}=+0.112109888\)
\(a_{96}=-0.038313522\) \(a_{97}=-0.854337989\) \(a_{98}=+2.176408123\) \(a_{99}=+0.038469926\) \(a_{100}=+0.004199657\)

Showing 100 of 5000 available coefficients

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