Properties

Level $7$
Weight $0$
Character 7.1
Symmetry even
Fricke sign $-1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 7 \)
Weight: \( 0 \)
Character: 7.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 11.0772643773 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.522595048\) \(a_{3}=+1.130928780\) \(a_{4}=+1.318295679\) \(a_{5}=-1.170853003\)
\(a_{6}=-1.721946560\) \(a_{7}=+0.377964473\) \(a_{8}=-0.484635425\) \(a_{9}=+0.278999905\) \(a_{10}=+1.782734984\)
\(a_{11}=+0.400441859\) \(a_{12}=+1.490898524\) \(a_{13}=+0.420441062\) \(a_{14}=-0.575486835\) \(a_{15}=-1.324151358\)
\(a_{16}=-0.580392181\) \(a_{17}=+1.751487024\) \(a_{18}=-0.424803874\) \(a_{19}=-1.751937633\) \(a_{20}=-1.543530455\)
\(a_{21}=+0.427450900\) \(a_{22}=-0.609710792\) \(a_{23}=+0.336719191\) \(a_{24}=-0.548088150\) \(a_{25}=+0.370896755\)
\(a_{26}=-0.640161479\) \(a_{27}=-0.815399757\) \(a_{28}=+0.498268932\) \(a_{29}=-0.673948930\) \(a_{30}=+2.016146301\)
\(a_{31}=-1.845165161\) \(a_{32}=+1.368337686\) \(a_{33}=+0.452871223\) \(a_{34}=-2.666805469\) \(a_{35}=-0.442540838\)
\(a_{36}=+0.367804370\) \(a_{37}=-0.860170472\) \(a_{38}=+2.667491565\) \(a_{39}=+0.475488898\) \(a_{40}=+0.567436843\)
\(a_{41}=-0.636547125\) \(a_{42}=-0.650834624\) \(a_{43}=-0.459292673\) \(a_{44}=+0.527900773\) \(a_{45}=-0.326667877\)
\(a_{46}=-0.512686972\) \(a_{47}=-0.516936737\) \(a_{48}=-0.656382221\) \(a_{49}=+0.142857143\) \(a_{50}=-0.564725562\)
\(a_{51}=+1.980807083\) \(a_{52}=+0.554265636\) \(a_{53}=+0.282803168\) \(a_{54}=+1.241523633\) \(a_{55}=-0.468858553\)
\(a_{56}=-0.183174973\) \(a_{57}=-1.981316690\) \(a_{58}=+1.026151303\) \(a_{59}=-0.657609217\) \(a_{60}=-1.745623015\)
\(a_{61}=+0.060211926\) \(a_{62}=+2.809439336\) \(a_{63}=+0.105452052\) \(a_{64}=-1.503032003\) \(a_{65}=-0.492274681\)
\(a_{66}=-0.689539482\) \(a_{67}=-0.278188438\) \(a_{68}=+2.308977776\) \(a_{69}=+0.380805424\) \(a_{70}=+0.673810489\)
\(a_{71}=-1.306312290\) \(a_{72}=-0.135213238\) \(a_{73}=+0.099105757\) \(a_{74}=+1.309691301\) \(a_{75}=+0.419457815\)
\(a_{76}=-2.309571813\) \(a_{77}=+0.151352796\) \(a_{78}=-0.723977041\) \(a_{79}=+0.413148893\) \(a_{80}=+0.679553928\)
\(a_{81}=-1.201158958\) \(a_{82}=+0.969203501\) \(a_{83}=+1.242220426\) \(a_{84}=+0.563506675\) \(a_{85}=-2.050733842\)
\(a_{86}=+0.699316750\) \(a_{87}=-0.762188241\) \(a_{88}=-0.194068311\) \(a_{89}=-0.893890212\) \(a_{90}=+0.497382892\)
\(a_{91}=+0.158911785\) \(a_{92}=+0.443895454\) \(a_{93}=-2.086750384\) \(a_{94}=+0.787085316\) \(a_{95}=+2.051261439\)
\(a_{96}=+1.547492470\) \(a_{97}=+1.203523154\) \(a_{98}=-0.217513578\) \(a_{99}=+0.111723241\) \(a_{100}=+0.488951590\)

Showing 100 of 1228 available coefficients

Rows: Cols: