Properties

Level $1$
Weight $0$
Character 1.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 1 \)
Weight: \( 0 \)
Character: 1.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 26.0569177607 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.159119245\) \(a_{3}=+0.598888594\) \(a_{4}=+0.343557424\) \(a_{5}=-1.089323876\)
\(a_{6}=+0.694183295\) \(a_{7}=-1.278800293\) \(a_{8}=-0.760895223\) \(a_{9}=-0.641332451\) \(a_{10}=-1.262656269\)
\(a_{11}=+0.975348146\) \(a_{12}=+0.205752623\) \(a_{13}=+0.831360036\) \(a_{14}=-1.482282029\) \(a_{15}=-0.652383639\)
\(a_{16}=-1.225525720\) \(a_{17}=-0.797482371\) \(a_{18}=-0.743380787\) \(a_{19}=+0.137639547\) \(a_{20}=-0.374245305\)
\(a_{21}=-0.765858910\) \(a_{22}=+1.130544807\) \(a_{23}=-0.566024549\) \(a_{24}=-0.455691471\) \(a_{25}=+0.186626507\)
\(a_{26}=+0.963645417\) \(a_{27}=-0.982975285\) \(a_{28}=-0.439341334\) \(a_{29}=+1.236201988\) \(a_{30}=-0.756190438\)
\(a_{31}=+0.478831171\) \(a_{32}=-0.659635225\) \(a_{33}=+0.584124880\) \(a_{34}=-0.924377164\) \(a_{35}=+1.393027692\)
\(a_{36}=-0.220334525\) \(a_{37}=-1.105851371\) \(a_{38}=+0.159540647\) \(a_{39}=+0.497892043\) \(a_{40}=+0.828861334\)
\(a_{41}=-0.659223891\) \(a_{42}=-0.887721801\) \(a_{43}=+0.340034943\) \(a_{44}=+0.335088097\) \(a_{45}=+0.698618752\)
\(a_{46}=-0.656089948\) \(a_{47}=+0.076005107\) \(a_{48}=-0.733953376\) \(a_{49}=+0.635330189\) \(a_{50}=+0.216322376\)
\(a_{51}=-0.477603096\) \(a_{52}=+0.285619912\) \(a_{53}=+0.998983352\) \(a_{54}=-1.139385570\) \(a_{55}=-1.062470023\)
\(a_{56}=+0.973033034\) \(a_{57}=+0.082430755\) \(a_{58}=+1.432905515\) \(a_{59}=-1.078041671\) \(a_{60}=-0.224131245\)
\(a_{61}=-1.096486027\) \(a_{62}=+0.555022430\) \(a_{63}=+0.820136127\) \(a_{64}=+0.460929837\) \(a_{65}=-0.905620336\)
\(a_{66}=+0.677070390\) \(a_{67}=-0.659240338\) \(a_{68}=-0.273980989\) \(a_{69}=-0.338985647\) \(a_{70}=+1.614685206\)
\(a_{71}=-1.525369144\) \(a_{72}=+0.487986799\) \(a_{73}=+1.393496322\) \(a_{74}=-1.281813606\) \(a_{75}=+0.111768486\)
\(a_{76}=+0.047287088\) \(a_{77}=-1.247275495\) \(a_{78}=+0.577116249\) \(a_{79}=+0.371145891\) \(a_{80}=+1.334994428\)
\(a_{81}=+0.052639765\) \(a_{82}=-0.764119098\) \(a_{83}=-1.349909398\) \(a_{84}=-0.263116514\) \(a_{85}=+0.868716588\)
\(a_{86}=+0.394141046\) \(a_{87}=+0.740347271\) \(a_{88}=-0.742137745\) \(a_{89}=-0.086283253\) \(a_{90}=+0.809782440\)
\(a_{91}=-1.063143457\) \(a_{92}=-0.194461936\) \(a_{93}=+0.286766527\) \(a_{94}=+0.088098983\) \(a_{95}=-0.149934044\)
\(a_{96}=-0.395048013\) \(a_{97}=+0.916577614\) \(a_{98}=+0.736423449\) \(a_{99}=-0.625522419\) \(a_{100}=+0.064116922\)

Showing 100 of 5000 available coefficients

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