Properties

Level $787$
Weight $0$
Character 787.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 787 \)
Weight: \( 0 \)
Character: 787.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.76347610696 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.805649569\) \(a_{3}=-0.971468316\) \(a_{4}=+2.260370936\) \(a_{5}=+0.387712706\)
\(a_{6}=-1.754131346\) \(a_{7}=-0.568656670\) \(a_{8}=+2.275789683\) \(a_{9}=-0.056248991\) \(a_{10}=+0.700072876\)
\(a_{11}=+0.521757826\) \(a_{12}=-2.195878980\) \(a_{13}=-0.479325190\) \(a_{14}=-1.026794796\) \(a_{15}=-0.376650433\)
\(a_{16}=+1.848908835\) \(a_{17}=+0.725777510\) \(a_{18}=-0.101565645\) \(a_{19}=-0.627122113\) \(a_{20}=+0.876374125\)
\(a_{21}=+0.552431420\) \(a_{22}=+0.942111055\) \(a_{23}=-0.063818035\) \(a_{24}=-2.210858471\) \(a_{25}=-0.849679114\)
\(a_{26}=-0.865493882\) \(a_{27}=+1.026111971\) \(a_{28}=-1.285375536\) \(a_{29}=-1.056056832\) \(a_{30}=-0.680098669\)
\(a_{31}=-0.407938985\) \(a_{32}=+1.062692126\) \(a_{33}=-0.506870641\) \(a_{34}=+1.310499869\) \(a_{35}=-0.220475134\)
\(a_{36}=-0.127143432\) \(a_{37}=+0.175692363\) \(a_{38}=-1.132362852\) \(a_{39}=+0.465650048\) \(a_{40}=+0.882352436\)
\(a_{41}=+1.528946709\) \(a_{42}=+0.997498060\) \(a_{43}=+0.519465280\) \(a_{44}=+1.179365064\) \(a_{45}=-0.021808362\)
\(a_{46}=-0.115233481\) \(a_{47}=+1.011253197\) \(a_{48}=-1.796157282\) \(a_{49}=-0.676629500\) \(a_{50}=-1.534223065\)
\(a_{51}=-0.705070008\) \(a_{52}=-1.083454126\) \(a_{53}=+0.122382821\) \(a_{54}=+1.852799596\) \(a_{55}=+0.202292154\)
\(a_{56}=-1.294142393\) \(a_{57}=+0.609229787\) \(a_{58}=-1.906869446\) \(a_{59}=+0.818611248\) \(a_{60}=-0.851369625\)
\(a_{61}=+0.074388799\) \(a_{62}=-0.736594808\) \(a_{63}=+0.031985899\) \(a_{64}=+0.069941374\) \(a_{65}=-0.185840097\)
\(a_{66}=-0.915230937\) \(a_{67}=-0.807932500\) \(a_{68}=+1.640526507\) \(a_{69}=+0.061997193\) \(a_{70}=-0.398100767\)
\(a_{71}=+0.405701122\) \(a_{72}=-0.128010745\) \(a_{73}=+1.168484500\) \(a_{74}=+0.317239593\) \(a_{75}=+0.825436054\)
\(a_{76}=-1.417529030\) \(a_{77}=-0.296700437\) \(a_{78}=+0.840800148\) \(a_{79}=-0.272427159\) \(a_{80}=+0.716845294\)
\(a_{81}=-0.940587868\) \(a_{82}=+2.760743243\) \(a_{83}=+0.527795491\) \(a_{84}=+1.248701244\) \(a_{85}=+0.281393099\)
\(a_{86}=+0.937972801\) \(a_{87}=+1.025926039\) \(a_{88}=+1.187409680\) \(a_{89}=-0.475288365\) \(a_{90}=-0.039378176\)
\(a_{91}=+0.272571398\) \(a_{92}=-0.144253537\) \(a_{93}=+0.396299153\) \(a_{94}=+1.825968360\) \(a_{95}=-0.243142944\)
\(a_{96}=-1.032372526\) \(a_{97}=-1.500560301\) \(a_{98}=-1.221755924\) \(a_{99}=-0.029348101\) \(a_{100}=-1.920590778\)

Showing 100 of 2062 available coefficients

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