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: \( 8.15572563068 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.633508749\) \(a_{3}=+1.496585288\) \(a_{4}=-0.598666664\) \(a_{5}=+0.338126686\)
\(a_{6}=-0.948099874\) \(a_{7}=-0.377964473\) \(a_{8}=+1.012769319\) \(a_{9}=+1.239767525\) \(a_{10}=-0.214206214\)
\(a_{11}=+1.361047182\) \(a_{12}=-0.895955723\) \(a_{13}=+0.648923983\) \(a_{14}=+0.239443801\) \(a_{15}=+0.506035424\)
\(a_{16}=-0.042931560\) \(a_{17}=+1.326503518\) \(a_{18}=-0.785403574\) \(a_{19}=-0.298803789\) \(a_{20}=-0.202425175\)
\(a_{21}=-0.565656070\) \(a_{22}=-0.862235298\) \(a_{23}=+1.614842898\) \(a_{24}=+1.515695664\) \(a_{25}=-0.885670344\)
\(a_{26}=-0.411099021\) \(a_{27}=+0.358832550\) \(a_{28}=+0.226274730\) \(a_{29}=-1.140562833\) \(a_{30}=-0.320577868\)
\(a_{31}=+0.650870587\) \(a_{32}=-0.985571800\) \(a_{33}=+2.036923190\) \(a_{34}=-0.840351585\) \(a_{35}=-0.127799875\)
\(a_{36}=-0.742207489\) \(a_{37}=-0.017681342\) \(a_{38}=+0.189294815\) \(a_{39}=+0.971170086\) \(a_{40}=+0.342444334\)
\(a_{41}=+0.729589938\) \(a_{42}=+0.358348069\) \(a_{43}=-1.219168791\) \(a_{44}=-0.814813577\) \(a_{45}=+0.419198485\)
\(a_{46}=-1.023017105\) \(a_{47}=-0.815546651\) \(a_{48}=-0.064250742\) \(a_{49}=+0.142857143\) \(a_{50}=+0.561079912\)
\(a_{51}=+1.985225649\) \(a_{52}=-0.388489157\) \(a_{53}=+0.258238842\) \(a_{54}=-0.227323560\) \(a_{55}=+0.460206373\)
\(a_{56}=-0.382790822\) \(a_{57}=-0.447185355\) \(a_{58}=+0.722556534\) \(a_{59}=-1.078421619\) \(a_{60}=-0.302946539\)
\(a_{61}=+0.788671774\) \(a_{62}=-0.412332211\) \(a_{63}=-0.468588079\) \(a_{64}=+0.667299919\) \(a_{65}=+0.219418516\)
\(a_{66}=-1.290408662\) \(a_{67}=-1.250852816\) \(a_{68}=-0.794133436\) \(a_{69}=+2.416750124\) \(a_{70}=+0.080962339\)
\(a_{71}=+0.657153972\) \(a_{72}=+1.255598512\) \(a_{73}=+0.420337665\) \(a_{74}=+0.011201285\) \(a_{75}=-1.325481207\)
\(a_{76}=+0.178883868\) \(a_{77}=-0.514427481\) \(a_{78}=-0.615244747\) \(a_{79}=+1.176334775\) \(a_{80}=-0.014516306\)
\(a_{81}=-0.702744009\) \(a_{82}=-0.462201609\) \(a_{83}=-0.908980627\) \(a_{84}=+0.338639432\) \(a_{85}=+0.448526238\)
\(a_{86}=+0.772354096\) \(a_{87}=-1.706949555\) \(a_{88}=+1.378426828\) \(a_{89}=+0.305914801\) \(a_{90}=-0.265565908\)
\(a_{91}=-0.245270211\) \(a_{92}=-0.966752611\) \(a_{93}=+0.974083344\) \(a_{94}=+0.516655939\) \(a_{95}=-0.101033535\)
\(a_{96}=-1.474992256\) \(a_{97}=+1.051395061\) \(a_{98}=-0.090501250\) \(a_{99}=+1.687382096\) \(a_{100}=+0.530221311\)

Showing 100 of 1228 available coefficients

Rows: Cols: