# Properties

 Level $5$ Weight $0$ Character 5.1 Symmetry odd Fricke sign $+1$

# Related objects

## Maass form invariants

 Level: $$5$$ Weight: $$0$$ Character: 5.1 Symmetry: odd Fricke sign: $+1$ Spectral parameter: $$7.32552437933$$

## Maass form coefficients

$$a_{1}=+1.000000000$$ $$a_{2}=-0.129511870$$ $$a_{3}=+0.804283739$$ $$a_{4}=-0.983226676$$ $$a_{5}=-0.447213596$$
$$a_{6}=-0.104164291$$ $$a_{7}=-1.598177541$$ $$a_{8}=+0.256851395$$ $$a_{9}=-0.353127668$$ $$a_{10}=+0.057919469$$
$$a_{11}=+0.763749451$$ $$a_{12}=-0.790793227$$ $$a_{13}=-0.551102876$$ $$a_{14}=+0.206982963$$ $$a_{15}=-0.359686626$$
$$a_{16}=+0.949961376$$ $$a_{17}=+0.229847614$$ $$a_{18}=+0.045734224$$ $$a_{19}=-0.622634648$$ $$a_{20}=+0.439712337$$
$$a_{21}=-1.285388208$$ $$a_{22}=-0.098914619$$ $$a_{23}=+0.917388761$$ $$a_{24}=+0.206581400$$ $$a_{25}=+0.199951172$$
$$a_{26}=+0.071374364$$ $$a_{27}=-1.088298580$$ $$a_{28}=+1.571370791$$ $$a_{29}=-0.075291958$$ $$a_{30}=+0.046583687$$
$$a_{31}=-1.840554077$$ $$a_{32}=-0.379882668$$ $$a_{33}=+0.614271264$$ $$a_{34}=-0.029767994$$ $$a_{35}=+0.714726724$$
$$a_{36}=+0.347204543$$ $$a_{37}=+0.587551989$$ $$a_{38}=+0.080638577$$ $$a_{39}=-0.443243081$$ $$a_{40}=-0.114867436$$
$$a_{41}=-0.776471739$$ $$a_{42}=+0.166473030$$ $$a_{43}=+0.522940899$$ $$a_{44}=-0.750938836$$ $$a_{45}=+0.157923495$$
$$a_{46}=-0.118812733$$ $$a_{47}=-1.447498414$$ $$a_{48}=+0.764038491$$ $$a_{49}=+1.554171451$$ $$a_{50}=-0.025902385$$
$$a_{51}=+0.184862696$$ $$a_{52}=+0.541859063$$ $$a_{53}=-0.460077755$$ $$a_{54}=+0.140947641$$ $$a_{55}=-0.341559136$$
$$a_{56}=-0.410494228$$ $$a_{57}=-0.500774861$$ $$a_{58}=+0.009751038$$ $$a_{59}=-0.779193900$$ $$a_{60}=+0.353653832$$
$$a_{61}=+0.225030119$$ $$a_{62}=+0.238373600$$ $$a_{63}=+0.564360708$$ $$a_{64}=-0.900762057$$ $$a_{65}=+0.246460698$$
$$a_{66}=-0.079555420$$ $$a_{67}=+1.249307122$$ $$a_{68}=-0.225992305$$ $$a_{69}=+0.737840863$$ $$a_{70}=-0.092565594$$
$$a_{71}=-0.374127433$$ $$a_{72}=-0.090701334$$ $$a_{73}=-0.916408083$$ $$a_{74}=-0.076094959$$ $$a_{75}=+0.160856747$$
$$a_{76}=+0.612190997$$ $$a_{77}=-1.220607218$$ $$a_{78}=+0.057405238$$ $$a_{79}=-0.183150792$$ $$a_{80}=-0.424835641$$
$$a_{81}=-0.522173183$$ $$a_{82}=+0.100562306$$ $$a_{83}=+1.676459342$$ $$a_{84}=+1.263827992$$ $$a_{85}=-0.102790979$$
$$a_{86}=-0.067727071$$ $$a_{87}=-0.060556106$$ $$a_{88}=+0.196170114$$ $$a_{89}=-0.676298149$$ $$a_{90}=-0.020452962$$
$$a_{91}=+0.880760259$$ $$a_{92}=-0.902001084$$ $$a_{93}=-1.480327705$$ $$a_{94}=+0.187468064$$ $$a_{95}=+0.278450692$$
$$a_{96}=-0.305533327$$ $$a_{97}=+1.087157467$$ $$a_{98}=-0.201283598$$ $$a_{99}=-0.269701067$$ $$a_{100}=-0.196645335$$

Showing 100 of 5000 available coefficients

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