Properties

Level $7$
Weight $0$
Character 7.1
Symmetry odd
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 7 \)
Weight: \( 0 \)
Character: 7.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 6.25758390694 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.314863811\) \(a_{3}=+0.370688885\) \(a_{4}=-0.900860781\) \(a_{5}=-1.068153191\)
\(a_{6}=+0.116716515\) \(a_{7}=-0.377964473\) \(a_{8}=-0.598512269\) \(a_{9}=-0.862589751\) \(a_{10}=-0.336322784\)
\(a_{11}=+1.260761428\) \(a_{12}=-0.333939078\) \(a_{13}=+0.015254204\) \(a_{14}=-0.119007334\) \(a_{15}=-0.395952515\)
\(a_{16}=+0.712410927\) \(a_{17}=-1.139527743\) \(a_{18}=-0.271598296\) \(a_{19}=+0.261053848\) \(a_{20}=+0.962257318\)
\(a_{21}=-0.140107229\) \(a_{22}=+0.396968147\) \(a_{23}=-0.167427710\) \(a_{24}=-0.221861846\) \(a_{25}=+0.140951239\)
\(a_{26}=+0.004802997\) \(a_{27}=-0.690441318\) \(a_{28}=+0.340493370\) \(a_{29}=-1.452617064\) \(a_{30}=-0.124671118\)
\(a_{31}=+1.064013533\) \(a_{32}=+0.822824688\) \(a_{33}=+0.467350248\) \(a_{34}=-0.358796047\) \(a_{35}=+0.403723958\)
\(a_{36}=+0.777073276\) \(a_{37}=-1.864615990\) \(a_{38}=+0.082196409\) \(a_{39}=+0.005654564\) \(a_{40}=+0.639302790\)
\(a_{41}=-0.451063274\) \(a_{42}=-0.044114696\) \(a_{43}=-0.891748190\) \(a_{44}=-1.135770524\) \(a_{45}=+0.921377995\)
\(a_{46}=-0.052716927\) \(a_{47}=+1.682705261\) \(a_{48}=+0.264082812\) \(a_{49}=+0.142857143\) \(a_{50}=+0.044380444\)
\(a_{51}=-0.422410269\) \(a_{52}=-0.013741914\) \(a_{53}=+0.544064885\) \(a_{54}=-0.217394984\) \(a_{55}=-1.346686342\)
\(a_{56}=+0.226216374\) \(a_{57}=+0.096769760\) \(a_{58}=-0.457376544\) \(a_{59}=+0.569410996\) \(a_{60}=+0.356698092\)
\(a_{61}=-1.380927275\) \(a_{62}=+0.335019356\) \(a_{63}=+0.326028281\) \(a_{64}=-0.453333211\) \(a_{65}=-0.016293827\)
\(a_{66}=+0.147151680\) \(a_{67}=+0.466656013\) \(a_{68}=+1.026555853\) \(a_{69}=-0.062063591\) \(a_{70}=+0.127118064\)
\(a_{71}=-0.533184179\) \(a_{72}=+0.516270549\) \(a_{73}=+0.799450243\) \(a_{74}=-0.587100096\) \(a_{75}=+0.052249058\)
\(a_{76}=-0.235173173\) \(a_{77}=-0.476523029\) \(a_{78}=+0.001780418\) \(a_{79}=-1.384330127\) \(a_{80}=-0.760964005\)
\(a_{81}=+0.606650828\) \(a_{82}=-0.142023501\) \(a_{83}=+0.163909471\) \(a_{84}=+0.126217108\) \(a_{85}=+1.217190195\)
\(a_{86}=-0.280779233\) \(a_{87}=-0.538469000\) \(a_{88}=-0.754581182\) \(a_{89}=+1.512591206\) \(a_{90}=+0.290108586\)
\(a_{91}=-0.005765547\) \(a_{92}=+0.150829057\) \(a_{93}=+0.394417990\) \(a_{94}=+0.529822991\) \(a_{95}=-0.278845500\)
\(a_{96}=+0.305011966\) \(a_{97}=-0.227420950\) \(a_{98}=+0.044980544\) \(a_{99}=-1.087519885\) \(a_{100}=-0.126977444\)

Showing 100 of 1228 available coefficients

Rows: Cols: