Properties

Level $2$
Weight $0$
Character 2.1
Symmetry odd
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 15.2740224848 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-0.437760008\) \(a_{4}=+0.500000000\) \(a_{5}=+0.349277179\)
\(a_{6}=+0.309543070\) \(a_{7}=+1.354310082\) \(a_{8}=-0.353553391\) \(a_{9}=-0.808366175\) \(a_{10}=-0.246976262\)
\(a_{11}=-1.851386583\) \(a_{12}=-0.218880004\) \(a_{13}=+0.265012143\) \(a_{14}=-0.957641843\) \(a_{15}=-0.152899581\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.214426554\) \(a_{18}=+0.571601204\) \(a_{19}=-0.752604452\) \(a_{20}=+0.174638590\)
\(a_{21}=-0.592862793\) \(a_{22}=+1.309128007\) \(a_{23}=-0.458443954\) \(a_{24}=+0.154771535\) \(a_{25}=-0.878005452\)
\(a_{26}=-0.187391883\) \(a_{27}=+0.791630392\) \(a_{28}=+0.677155041\) \(a_{29}=-0.553361845\) \(a_{30}=+0.108116330\)
\(a_{31}=-0.887521324\) \(a_{32}=-0.176776695\) \(a_{33}=+0.810463006\) \(a_{34}=+0.151622470\) \(a_{35}=+0.473029605\)
\(a_{36}=-0.404183088\) \(a_{37}=-0.755663598\) \(a_{38}=+0.532171711\) \(a_{39}=-0.116011718\) \(a_{40}=-0.123488131\)
\(a_{41}=-0.529288963\) \(a_{42}=+0.419217301\) \(a_{43}=+1.599601350\) \(a_{44}=-0.925693291\) \(a_{45}=-0.282343857\)
\(a_{46}=+0.324168829\) \(a_{47}=-1.391182745\) \(a_{48}=-0.109440002\) \(a_{49}=+0.834155798\) \(a_{50}=+0.620843609\)
\(a_{51}=+0.093867370\) \(a_{52}=+0.132506071\) \(a_{53}=+0.144785157\) \(a_{54}=-0.559767218\) \(a_{55}=-0.646647083\)
\(a_{56}=-0.478820921\) \(a_{57}=+0.329460131\) \(a_{58}=+0.391285913\) \(a_{59}=+0.490840629\) \(a_{60}=-0.076449790\)
\(a_{61}=+0.150136058\) \(a_{62}=+0.627572347\) \(a_{63}=-1.094778461\) \(a_{64}=+0.125000000\) \(a_{65}=+0.092562694\)
\(a_{66}=-0.573083887\) \(a_{67}=+0.127989592\) \(a_{68}=-0.107213277\) \(a_{69}=+0.200688429\) \(a_{70}=-0.334482441\)
\(a_{71}=+1.008844487\) \(a_{72}=+0.285800602\) \(a_{73}=-0.503330441\) \(a_{74}=+0.534334855\) \(a_{75}=+0.384355674\)
\(a_{76}=-0.376302226\) \(a_{77}=-2.507351514\) \(a_{78}=+0.082032672\) \(a_{79}=+1.203318121\) \(a_{80}=+0.087319295\)
\(a_{81}=+0.461822048\) \(a_{82}=+0.374263815\) \(a_{83}=+0.668431280\) \(a_{84}=-0.296431396\) \(a_{85}=-0.074894302\)
\(a_{86}=-1.131088962\) \(a_{87}=+0.242239686\) \(a_{88}=+0.654564004\) \(a_{89}=-1.492264113\) \(a_{90}=+0.199647256\)
\(a_{91}=+0.358908617\) \(a_{92}=-0.229221977\) \(a_{93}=+0.388521342\) \(a_{94}=+0.983714753\) \(a_{95}=-0.262867560\)
\(a_{96}=+0.077385768\) \(a_{97}=-0.255373789\) \(a_{98}=-0.589837221\) \(a_{99}=+1.496598290\) \(a_{100}=-0.439002726\)

Showing 100 of 1228 available coefficients

Rows: Cols: