Properties

Level $9$
Weight $0$
Character 9.1
Symmetry odd
Fricke sign $+1$

Related objects

Downloads

Learn more about

Maass form invariants

Level: \( 9 = 3^{2} \)
Weight: \( 0 \)
Character: 9.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 12.8574162785 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.935085735\) \(a_{3}=+0.000000000\) \(a_{4}=+2.744556803\) \(a_{5}=+0.793499433\)
\(a_{6}=+0.000000000\) \(a_{7}=+0.251461664\) \(a_{8}=-3.375866984\) \(a_{9}=+0.000000000\) \(a_{10}=-1.535489434\)
\(a_{11}=-1.022050668\) \(a_{12}=+0.000000000\) \(a_{13}=+0.548441518\) \(a_{14}=-0.486599879\) \(a_{15}=+0.000000000\)
\(a_{16}=+3.788035243\) \(a_{17}=-0.807790997\) \(a_{18}=+0.000000000\) \(a_{19}=+0.533178996\) \(a_{20}=+2.177804268\)
\(a_{21}=+0.000000000\) \(a_{22}=+1.977755669\) \(a_{23}=-0.223023007\) \(a_{24}=+0.000000000\) \(a_{25}=-0.370358649\)
\(a_{26}=-1.061281358\) \(a_{27}=+0.000000000\) \(a_{28}=+0.690150822\) \(a_{29}=+0.517738704\) \(a_{30}=+0.000000000\)
\(a_{31}=-1.345263125\) \(a_{32}=-3.954305979\) \(a_{33}=+0.000000000\) \(a_{34}=+1.563144836\) \(a_{35}=+0.199534686\)
\(a_{36}=+0.000000000\) \(a_{37}=+0.619352692\) \(a_{38}=-1.031747075\) \(a_{39}=+0.000000000\) \(a_{40}=-2.678748531\)
\(a_{41}=+0.184895328\) \(a_{42}=+0.000000000\) \(a_{43}=+1.559445434\) \(a_{44}=-2.805076031\) \(a_{45}=+0.000000000\)
\(a_{46}=+0.431568041\) \(a_{47}=+1.171098345\) \(a_{48}=+0.000000000\) \(a_{49}=-0.936768658\) \(a_{50}=+0.716677354\)
\(a_{51}=+0.000000000\) \(a_{52}=+1.505217460\) \(a_{53}=-0.538901334\) \(a_{54}=+0.000000000\) \(a_{55}=-0.811050794\)
\(a_{56}=-0.848796838\) \(a_{57}=+0.000000000\) \(a_{58}=-1.001960759\) \(a_{59}=-1.344010754\) \(a_{60}=+0.000000000\)
\(a_{61}=-1.269276903\) \(a_{62}=+2.605262398\) \(a_{63}=+0.000000000\) \(a_{64}=+3.855317381\) \(a_{65}=+0.446123431\)
\(a_{66}=+0.000000000\)

Showing all 66 available coefficients

Rows: Cols: