Properties

Level $919$
Weight $0$
Character 919.1
Symmetry odd
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 919 \)
Weight: \( 0 \)
Character: 919.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.9697425902 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.436962791\) \(a_{3}=+1.346931529\) \(a_{4}=+1.064863123\) \(a_{5}=+1.530635551\)
\(a_{6}=+1.935491248\) \(a_{7}=-0.503372237\) \(a_{8}=+0.093205977\) \(a_{9}=+0.814223902\) \(a_{10}=+2.199467493\)
\(a_{11}=+1.616271440\) \(a_{12}=+1.434298249\) \(a_{13}=-0.083938703\) \(a_{14}=-0.723326940\) \(a_{15}=+2.061660780\)
\(a_{16}=-0.930930054\) \(a_{17}=-1.502523266\) \(a_{18}=+1.170010729\) \(a_{19}=-0.219444367\) \(a_{20}=+1.629917998\)
\(a_{21}=-0.678008157\) \(a_{22}=+2.322522370\) \(a_{23}=-0.928116563\) \(a_{24}=+0.125542053\) \(a_{25}=+1.342845190\)
\(a_{26}=-0.120616972\) \(a_{27}=-0.250226956\) \(a_{28}=-0.536022131\) \(a_{29}=+1.152926522\) \(a_{30}=+2.962531828\)
\(a_{31}=-1.510525317\) \(a_{32}=-1.430918731\) \(a_{33}=+2.177007595\) \(a_{34}=-2.159070304\) \(a_{35}=-0.770479218\)
\(a_{36}=+0.867038973\) \(a_{37}=-0.364327711\) \(a_{38}=-0.315333945\) \(a_{39}=-0.113060421\) \(a_{40}=+0.142665313\)
\(a_{41}=+1.903556403\) \(a_{42}=-0.974273006\) \(a_{43}=-0.211049412\) \(a_{44}=+1.721107537\) \(a_{45}=+1.246280491\)
\(a_{46}=-1.333668841\) \(a_{47}=+1.562133395\) \(a_{48}=-1.253899515\) \(a_{49}=-0.746615846\) \(a_{50}=+1.929618282\)
\(a_{51}=-2.023796617\) \(a_{52}=-0.089383738\) \(a_{53}=+0.841139844\) \(a_{54}=-0.359566086\) \(a_{55}=+2.473923072\)
\(a_{56}=-0.046917541\) \(a_{57}=-0.295576844\) \(a_{58}=+1.656712412\) \(a_{59}=+1.148351780\) \(a_{60}=+2.195388243\)
\(a_{61}=-1.061863735\) \(a_{62}=-2.170568258\) \(a_{63}=-0.409858602\) \(a_{64}=-1.125246608\) \(a_{65}=-0.128479250\)
\(a_{66}=+3.128279156\) \(a_{67}=-1.517840864\) \(a_{68}=-1.599980710\) \(a_{69}=-1.250109618\) \(a_{70}=-1.107149087\)
\(a_{71}=-0.690753747\) \(a_{72}=+0.075891302\) \(a_{73}=+0.344407837\) \(a_{74}=-0.523525692\) \(a_{75}=+1.808720490\)
\(a_{76}=-0.233678931\) \(a_{77}=-0.813586639\) \(a_{78}=-0.162462667\) \(a_{79}=+1.149667305\) \(a_{80}=-1.424914278\)
\(a_{81}=-1.151263484\) \(a_{82}=+2.735339479\) \(a_{83}=+0.280774087\) \(a_{84}=-0.721985617\) \(a_{85}=-2.299815450\)
\(a_{86}=-0.303270743\) \(a_{87}=+1.552913325\) \(a_{88}=+0.150645416\) \(a_{89}=-1.359133175\) \(a_{90}=+1.790859913\)
\(a_{91}=+0.042253034\) \(a_{92}=-0.988316685\) \(a_{93}=-2.034574647\) \(a_{94}=+2.244727666\) \(a_{95}=-0.335889281\)
\(a_{96}=-1.927349203\) \(a_{97}=-0.089860261\) \(a_{98}=-1.072860264\) \(a_{99}=+1.316009090\) \(a_{100}=+1.429945616\)

Showing 100 of 2292 available coefficients

Rows: Cols: