Properties

Level 1
Weight 0
Character 1.1
Symmetry odd
Fricke sign +1

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Maass form invariants

Level: \( 1 \)
Weight: \( 0 \)
Character: 1.1
Symmetry: odd
Fricke sign: \(+1\)
Spectral parameter: \( 9.53369526135 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.068333551\) \(a_{3}=-0.456197355\) \(a_{4}=+0.141336577\) \(a_{5}=-0.290672555\)
\(a_{6}=+0.487370940\) \(a_{7}=-0.744941612\) \(a_{8}=+0.917338945\) \(a_{9}=-0.791883974\) \(a_{10}=+0.310535243\)
\(a_{11}=+0.166163597\) \(a_{12}=-0.064477372\) \(a_{13}=-0.586688528\) \(a_{14}=+0.795846118\) \(a_{15}=+0.132604051\)
\(a_{16}=-1.121360549\) \(a_{17}=+0.570695802\) \(a_{18}=+0.845996218\) \(a_{19}=-0.981938587\) \(a_{20}=-0.041082664\)
\(a_{21}=+0.339840393\) \(a_{22}=-0.177518145\) \(a_{23}=+0.662968959\) \(a_{24}=-0.418487600\) \(a_{25}=-0.915509466\)
\(a_{26}=+0.626779038\) \(a_{27}=+0.817452728\) \(a_{28}=-0.105287497\) \(a_{29}=-1.048688564\) \(a_{30}=-0.141665356\)
\(a_{31}=+0.786268441\) \(a_{32}=+0.280648153\) \(a_{33}=-0.075803393\) \(a_{34}=-0.609693473\) \(a_{35}=+0.216534082\)
\(a_{36}=-0.111922170\) \(a_{37}=-0.448198120\) \(a_{38}=+1.049037937\) \(a_{39}=+0.267645754\) \(a_{40}=-0.266645255\)
\(a_{41}=-1.198252638\) \(a_{42}=-0.363062894\) \(a_{43}=+1.562030916\) \(a_{44}=+0.023484994\) \(a_{45}=+0.230178938\)
\(a_{46}=-0.708271982\) \(a_{47}=-0.603152239\) \(a_{48}=+0.511561716\) \(a_{49}=-0.445061995\) \(a_{50}=+0.978069478\)
\(a_{51}=-0.260349913\) \(a_{52}=-0.082920548\) \(a_{53}=+0.594710329\) \(a_{54}=-0.873312173\) \(a_{55}=-0.048299197\)
\(a_{56}=-0.683363952\) \(a_{57}=+0.447957785\) \(a_{58}=+1.120349178\) \(a_{59}=+0.240776401\) \(a_{60}=+0.018741803\)
\(a_{61}=-1.269015757\) \(a_{62}=-0.839996956\) \(a_{63}=+0.589907324\) \(a_{64}=+0.821534711\) \(a_{65}=+0.170534253\)
\(a_{66}=+0.080983308\) \(a_{67}=-0.291094611\) \(a_{68}=+0.080660191\) \(a_{69}=-0.302444685\) \(a_{70}=-0.231330624\)
\(a_{71}=+0.185866954\) \(a_{72}=-0.726426009\) \(a_{73}=+0.639072395\) \(a_{74}=+0.478825089\) \(a_{75}=+0.417652996\)
\(a_{76}=-0.138783838\) \(a_{77}=-0.123782178\) \(a_{78}=-0.285934939\) \(a_{79}=-1.454497047\) \(a_{80}=+0.325948736\)
\(a_{81}=+0.418964202\) \(a_{82}=+1.280133496\) \(a_{83}=+0.074497508\) \(a_{84}=+0.048031878\) \(a_{85}=-0.165885607\)
\(a_{86}=-1.668770036\) \(a_{87}=+0.478408949\) \(a_{88}=+0.152428338\) \(a_{89}=+0.310514384\) \(a_{90}=-0.245907882\)
\(a_{91}=+0.437048696\) \(a_{92}=+0.093701762\) \(a_{93}=-0.358693584\) \(a_{94}=+0.644367775\) \(a_{95}=+0.285422595\)
\(a_{96}=-0.128030949\) \(a_{97}=-1.777984562\) \(a_{98}=+0.475474661\) \(a_{99}=-0.131582289\) \(a_{100}=-0.129394974\)

Showing 100 of 5000 available coefficients

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