The Maass form on $SL(2, \Z)$ with the smallest eigenvalue.
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