Properties

Level $617$
Weight $0$
Character 617.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 617 \)
Weight: \( 0 \)
Character: 617.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.5797352217 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.697755417\) \(a_{3}=+1.763926201\) \(a_{4}=-0.513137747\) \(a_{5}=-0.692177417\)
\(a_{6}=-1.230789050\) \(a_{7}=-0.623609922\) \(a_{8}=+1.055799512\) \(a_{9}=+2.111435679\) \(a_{10}=+0.482970746\)
\(a_{11}=+1.742707341\) \(a_{12}=-0.905136912\) \(a_{13}=-0.473941311\) \(a_{14}=+0.435127097\) \(a_{15}=-1.220949998\)
\(a_{16}=-0.223552615\) \(a_{17}=+0.099845863\) \(a_{18}=-1.473265412\) \(a_{19}=-0.205786322\) \(a_{20}=+0.355182536\)
\(a_{21}=-1.100001897\) \(a_{22}=-1.215983491\) \(a_{23}=+0.974589646\) \(a_{24}=+1.862352743\) \(a_{25}=-0.520890397\)
\(a_{26}=+0.330695378\) \(a_{27}=+1.960490568\) \(a_{28}=+0.319997589\) \(a_{29}=+1.764512779\) \(a_{30}=+0.851924474\)
\(a_{31}=+0.898040053\) \(a_{32}=-0.899815235\) \(a_{33}=+3.074007145\) \(a_{34}=-0.069668205\) \(a_{35}=+0.431648767\)
\(a_{36}=-1.083456838\) \(a_{37}=+1.462679984\) \(a_{38}=+0.143588514\) \(a_{39}=-0.835997692\) \(a_{40}=-0.730800596\)
\(a_{41}=+0.235731103\) \(a_{42}=+0.767532073\) \(a_{43}=+0.454911266\) \(a_{44}=-0.894248817\) \(a_{45}=-1.461488360\)
\(a_{46}=-0.680025098\) \(a_{47}=-1.296615300\) \(a_{48}=-0.394330073\) \(a_{49}=-0.611110669\) \(a_{50}=+0.363453959\)
\(a_{51}=+0.176120746\) \(a_{52}=+0.243197463\) \(a_{53}=+1.407201070\) \(a_{54}=-1.367942460\) \(a_{55}=-1.206262671\)
\(a_{56}=-0.658407297\) \(a_{57}=-0.362991883\) \(a_{58}=-1.231197843\) \(a_{59}=+0.959355148\) \(a_{60}=+0.626515486\)
\(a_{61}=-1.225124599\) \(a_{62}=-0.626612087\) \(a_{63}=-1.316712261\) \(a_{64}=+0.851402739\) \(a_{65}=+0.328051543\)
\(a_{66}=-2.144905001\) \(a_{67}=+1.737973072\) \(a_{68}=-0.051234991\) \(a_{69}=+1.719104162\) \(a_{70}=-0.301185052\)
\(a_{71}=-0.370738694\) \(a_{72}=+2.229253341\) \(a_{73}=+0.227158107\) \(a_{74}=-1.020592352\) \(a_{75}=-0.918812168\)
\(a_{76}=+0.105596752\) \(a_{77}=-1.086769552\) \(a_{78}=+0.583322022\) \(a_{79}=-1.915712626\) \(a_{80}=+0.154738179\)
\(a_{81}=+1.346724865\) \(a_{82}=-0.164482532\) \(a_{83}=-1.249466995\) \(a_{84}=+0.564452208\) \(a_{85}=-0.069110999\)
\(a_{86}=-0.317416717\) \(a_{87}=+3.112470193\) \(a_{88}=+1.839949657\) \(a_{89}=-0.982247136\) \(a_{90}=+1.019761201\)
\(a_{91}=+0.295554608\) \(a_{92}=-0.500098559\) \(a_{93}=+1.584076238\) \(a_{94}=+0.904719996\) \(a_{95}=+0.142440644\)
\(a_{96}=-1.587207387\) \(a_{97}=-0.424801248\) \(a_{98}=+0.426405954\) \(a_{99}=+3.679614408\) \(a_{100}=+0.267288287\)

Showing 100 of 1720 available coefficients

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