# Properties

 Level 10 Weight 0 Character 10.1 Symmetry even Fricke sign +1

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## Maass form invariants

 Level: $$10 = 2 \cdot 5$$ Weight: $$0$$ Character: 10.1 Symmetry: even Fricke sign: $$+1$$ Spectral parameter: $$13.8221167093$$

## Maass form coefficients

$$a_{1}=+1.000000000$$ $$a_{2}=-0.707106781$$ $$a_{3}=+0.461639468$$ $$a_{4}=+0.500000000$$ $$a_{5}=-0.447213595$$
$$a_{6}=-0.326428398$$ $$a_{7}=-0.215020653$$ $$a_{8}=-0.353553391$$ $$a_{9}=-0.786889002$$ $$a_{10}=+0.316227766$$
$$a_{11}=-0.124202660$$ $$a_{12}=+0.230819734$$ $$a_{13}=+1.363876039$$ $$a_{14}=+0.152042562$$ $$a_{15}=-0.206451446$$
$$a_{16}=+0.250000000$$ $$a_{17}=-1.124964084$$ $$a_{18}=+0.556414549$$ $$a_{19}=+0.842811281$$ $$a_{20}=-0.223606798$$
$$a_{21}=-0.099262020$$ $$a_{22}=+0.087824543$$ $$a_{23}=-1.190663896$$ $$a_{24}=-0.163214199$$ $$a_{25}=+0.199951172$$
$$a_{26}=-0.964405996$$ $$a_{27}=-0.824898487$$ $$a_{28}=-0.107510327$$ $$a_{29}=-0.604757462$$ $$a_{30}=+0.145983218$$
$$a_{31}=+0.213566518$$ $$a_{32}=-0.176776695$$ $$a_{33}=-0.057336850$$ $$a_{34}=+0.795469732$$ $$a_{35}=+0.096160160$$
$$a_{36}=-0.393444501$$ $$a_{37}=+0.753576545$$ $$a_{38}=-0.595957572$$ $$a_{39}=+0.629619008$$ $$a_{40}=+0.158113883$$
$$a_{41}=+1.529101041$$ $$a_{42}=+0.070188847$$ $$a_{43}=+1.754380426$$ $$a_{44}=-0.062101330$$ $$a_{45}=+0.351907460$$
$$a_{46}=+0.841926515$$ $$a_{47}=+0.281474979$$ $$a_{48}=+0.115409867$$ $$a_{49}=-0.953766119$$ $$a_{50}=-0.141421356$$
$$a_{51}=-0.519327821$$ $$a_{52}=+0.681938019$$ $$a_{53}=+0.758559699$$ $$a_{54}=+0.583291314$$ $$a_{55}=+0.055545118$$
$$a_{56}=+0.076021281$$ $$a_{57}=+0.389074951$$ $$a_{58}=+0.427628102$$ $$a_{59}=+0.627697312$$ $$a_{60}=-0.103225723$$
$$a_{61}=+0.305090709$$ $$a_{62}=-0.151014333$$ $$a_{63}=+0.169197387$$ $$a_{64}=+0.125000000$$ $$a_{65}=-0.609943907$$
$$a_{66}=+0.040543275$$ $$a_{67}=-0.843445355$$ $$a_{68}=-0.562482042$$ $$a_{69}=-0.549657447$$ $$a_{70}=-0.067995501$$
$$a_{71}=+1.454710227$$ $$a_{72}=+0.278207275$$ $$a_{73}=+0.564005592$$ $$a_{74}=-0.532859085$$ $$a_{75}=+0.092327894$$
$$a_{76}=+0.421405640$$ $$a_{77}=+0.026706137$$ $$a_{78}=-0.445207870$$ $$a_{79}=+0.980754319$$ $$a_{80}=-0.111803399$$
$$a_{81}=+0.406083303$$ $$a_{82}=-1.081237715$$ $$a_{83}=+0.466283254$$ $$a_{84}=-0.049631010$$ $$a_{85}=+0.503099233$$
$$a_{86}=-1.240534296$$ $$a_{87}=-0.279179914$$ $$a_{88}=+0.043912271$$ $$a_{89}=+0.777058232$$ $$a_{90}=-0.248836151$$
$$a_{91}=-0.293261519$$ $$a_{92}=-0.595331948$$ $$a_{93}=+0.098590733$$ $$a_{94}=-0.199032866$$ $$a_{95}=-0.376916663$$
$$a_{96}=-0.081607099$$ $$a_{97}=+1.239016667$$ $$a_{98}=+0.674414490$$ $$a_{99}=+0.097733753$$ $$a_{100}=+0.099975586$$

Showing 100 of 162 available coefficients

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