Properties

 Level $1$ Weight $0$ Character 1.1 Symmetry even Fricke sign $+1$

Related objects

Maass form invariants

 Level: $$1$$ Weight: $$0$$ Character: 1.1 Symmetry: even Fricke sign: $+1$ Spectral parameter: $$43.2671820388$$

Maass form coefficients

$$a_{1}=+1.000000000$$ $$a_{2}=-1.439681699$$ $$a_{3}=+0.476956413$$ $$a_{4}=+1.072683394$$ $$a_{5}=-0.080803978$$
$$a_{6}=-0.686665420$$ $$a_{7}=-1.321960303$$ $$a_{8}=-0.104640952$$ $$a_{9}=-0.772512580$$ $$a_{10}=+0.116332009$$
$$a_{11}=+1.331967459$$ $$a_{12}=+0.511623224$$ $$a_{13}=-0.808836451$$ $$a_{14}=+1.903202055$$ $$a_{15}=-0.038539976$$
$$a_{16}=-0.922033730$$ $$a_{17}=+0.834255069$$ $$a_{18}=+1.112172223$$ $$a_{19}=-0.012706860$$ $$a_{20}=-0.086677084$$
$$a_{21}=-0.630517462$$ $$a_{22}=-1.917609174$$ $$a_{23}=-1.821881568$$ $$a_{24}=-0.049909173$$ $$a_{25}=-0.993470717$$
$$a_{26}=+1.164467037$$ $$a_{27}=-0.845411243$$ $$a_{28}=-1.418044865$$ $$a_{29}=+0.511832151$$ $$a_{30}=+0.055485298$$
$$a_{31}=-0.237007819$$ $$a_{32}=+1.432076039$$ $$a_{33}=+0.635290422$$ $$a_{34}=-1.201061755$$ $$a_{35}=+0.106819652$$
$$a_{36}=-0.828661416$$ $$a_{37}=-0.925032107$$ $$a_{38}=+0.018293833$$ $$a_{39}=-0.385779733$$ $$a_{40}=+0.008455405$$
$$a_{41}=+1.371828129$$ $$a_{42}=+0.907744426$$ $$a_{43}=+0.213777669$$ $$a_{44}=+1.428779375$$ $$a_{45}=+0.062422090$$
$$a_{46}=+2.622929552$$ $$a_{47}=-0.160279124$$ $$a_{48}=-0.439769901$$ $$a_{49}=+0.747579043$$ $$a_{50}=+1.430281610$$
$$a_{51}=+0.397903305$$ $$a_{52}=-0.867625430$$ $$a_{53}=-0.294864090$$ $$a_{54}=+1.217123094$$ $$a_{55}=-0.107628270$$
$$a_{56}=+0.138331185$$ $$a_{57}=-0.006060618$$ $$a_{58}=-0.736875381$$ $$a_{59}=+0.810032875$$ $$a_{60}=-0.041341192$$
$$a_{61}=-0.553434565$$ $$a_{62}=+0.341215819$$ $$a_{63}=+1.021230964$$ $$a_{64}=-1.139699936$$ $$a_{65}=+0.065357204$$
$$a_{66}=-0.914615998$$ $$a_{67}=+1.200006738$$ $$a_{68}=+0.894891569$$ $$a_{69}=-0.868958106$$ $$a_{70}=-0.153786298$$
$$a_{71}=-0.636305723$$ $$a_{72}=+0.080836452$$ $$a_{73}=+0.201337437$$ $$a_{74}=+1.331751796$$ $$a_{75}=-0.473842230$$
$$a_{76}=-0.013630437$$ $$a_{77}=-1.760808106$$ $$a_{78}=+0.555400021$$ $$a_{79}=+1.054035988$$ $$a_{80}=+0.074503994$$
$$a_{81}=+0.369288266$$ $$a_{82}=-1.974995851$$ $$a_{83}=+1.853511745$$ $$a_{84}=-0.676345593$$ $$a_{85}=-0.067411129$$
$$a_{86}=-0.307771797$$ $$a_{87}=+0.244121627$$ $$a_{88}=-0.139378344$$ $$a_{89}=+0.592554397$$ $$a_{90}=-0.089867940$$
$$a_{91}=+1.069249680$$ $$a_{92}=-1.954302105$$ $$a_{93}=-0.113042399$$ $$a_{94}=+0.230750922$$ $$a_{95}=+0.001026765$$
$$a_{96}=+0.683037851$$ $$a_{97}=+1.601140951$$ $$a_{98}=-1.076275866$$ $$a_{99}=-1.028961618$$ $$a_{100}=-1.065679541$$

Showing 100 of 5000 available coefficients

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