Properties

Level $62$
Weight $0$
Character 62.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 62 = 2 \cdot 31 \)
Weight: \( 0 \)
Character: 62.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 3.64698537729 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.585003231\) \(a_{4}=+0.500000000\) \(a_{5}=+0.544397435\)
\(a_{6}=-0.413659752\) \(a_{7}=-0.092796706\) \(a_{8}=+0.353553391\) \(a_{9}=-0.657771219\) \(a_{10}=+0.384947118\)
\(a_{11}=-1.685448101\) \(a_{12}=-0.292501616\) \(a_{13}=-0.336776037\) \(a_{14}=-0.065617180\) \(a_{15}=-0.318474259\)
\(a_{16}=+0.250000000\) \(a_{17}=-1.685000900\) \(a_{18}=-0.465114490\) \(a_{19}=+1.453252830\) \(a_{20}=+0.272198717\)
\(a_{21}=+0.054286373\) \(a_{22}=-1.191791782\) \(a_{23}=-1.741445847\) \(a_{24}=-0.206829876\) \(a_{25}=-0.703631433\)
\(a_{26}=-0.238136619\) \(a_{27}=+0.969801520\) \(a_{28}=-0.046398353\) \(a_{29}=+0.835789794\) \(a_{30}=-0.225195308\)
\(a_{31}=+0.179605302\) \(a_{32}=+0.176776695\) \(a_{33}=+0.985992586\) \(a_{34}=-1.191475563\) \(a_{35}=-0.050518289\)
\(a_{36}=-0.328885610\) \(a_{37}=+0.977603616\) \(a_{38}=+1.027604931\) \(a_{39}=+0.197015070\) \(a_{40}=+0.192473559\)
\(a_{41}=+0.203372381\) \(a_{42}=+0.038386262\) \(a_{43}=-1.409133027\) \(a_{44}=-0.842724051\) \(a_{45}=-0.358088964\)
\(a_{46}=-1.231388167\) \(a_{47}=+1.343200383\) \(a_{48}=-0.146250808\) \(a_{49}=-0.991388771\) \(a_{50}=-0.497542558\)
\(a_{51}=+0.985730971\) \(a_{52}=-0.168388018\) \(a_{53}=-1.347546793\) \(a_{54}=+0.685753231\) \(a_{55}=-0.917553623\)
\(a_{56}=-0.032808590\) \(a_{57}=-0.850157601\) \(a_{58}=+0.590992631\) \(a_{59}=+0.249132055\) \(a_{60}=-0.159237129\)
\(a_{61}=-0.182795702\) \(a_{62}=+0.127000127\) \(a_{63}=+0.061039003\) \(a_{64}=+0.125000000\) \(a_{65}=-0.183340010\)
\(a_{66}=+0.697202043\) \(a_{67}=+1.112981201\) \(a_{68}=-0.842500450\) \(a_{69}=+1.018751448\) \(a_{70}=-0.035721825\)
\(a_{71}=-0.950462383\) \(a_{72}=-0.232557245\) \(a_{73}=+0.743961211\) \(a_{74}=+0.691270146\) \(a_{75}=+0.411626662\)
\(a_{76}=+0.726626415\) \(a_{77}=+0.156404032\) \(a_{78}=+0.139310692\) \(a_{79}=+1.042845439\) \(a_{80}=+0.136099359\)
\(a_{81}=+0.090434196\) \(a_{82}=+0.143805990\) \(a_{83}=+1.276169252\) \(a_{84}=+0.027143186\) \(a_{85}=-0.917310168\)
\(a_{86}=-0.996407519\) \(a_{87}=-0.488939730\) \(a_{88}=-0.595895891\) \(a_{89}=-0.603263923\) \(a_{90}=-0.253207135\)
\(a_{91}=+0.031251707\) \(a_{92}=-0.870722923\) \(a_{93}=-0.105069682\) \(a_{94}=+0.949786099\) \(a_{95}=+0.791147113\)
\(a_{96}=-0.103414938\) \(a_{97}=-0.348198384\) \(a_{98}=-0.701017723\) \(a_{99}=+1.108639253\) \(a_{100}=-0.351815716\)

Showing 100 of 556 available coefficients

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