Properties

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

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Maass form invariants

Level: \( 5 \)
Weight: \( 0 \)
Character: 5.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 11.1539349348 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.488286553\) \(a_{3}=-0.696402247\) \(a_{4}=+1.214996864\) \(a_{5}=-0.447213596\)
\(a_{6}=-1.036446100\) \(a_{7}=-0.712795552\) \(a_{8}=+0.319976942\) \(a_{9}=-0.515023910\) \(a_{10}=-0.665581981\)
\(a_{11}=+0.517749183\) \(a_{12}=-0.846126546\) \(a_{13}=-1.486863805\) \(a_{14}=-1.060844036\) \(a_{15}=+0.311440553\)
\(a_{16}=-0.738779484\) \(a_{17}=+1.133539254\) \(a_{18}=-0.766503162\) \(a_{19}=-1.638814943\) \(a_{20}=-0.543363116\)
\(a_{21}=+0.496392424\) \(a_{22}=+0.770559148\) \(a_{23}=+0.608564734\) \(a_{24}=-0.222832661\) \(a_{25}=+0.199951172\)
\(a_{26}=-2.212879408\) \(a_{27}=+1.055066055\) \(a_{28}=-0.866044361\) \(a_{29}=+1.225422994\) \(a_{30}=+0.463512787\)
\(a_{31}=+0.054385101\) \(a_{32}=-1.419492514\) \(a_{33}=-0.360561695\) \(a_{34}=+1.687031229\) \(a_{35}=+0.318771862\)
\(a_{36}=-0.625752436\) \(a_{37}=+0.872465690\) \(a_{38}=-2.439026247\) \(a_{39}=+1.035455295\) \(a_{40}=-0.143098038\)
\(a_{41}=-0.128145545\) \(a_{42}=+0.738774170\) \(a_{43}=-1.164685576\) \(a_{44}=+0.629063634\) \(a_{45}=+0.230325694\)
\(a_{46}=+0.905718711\) \(a_{47}=-0.139196943\) \(a_{48}=+0.514487691\) \(a_{49}=-0.491922498\) \(a_{50}=+0.297657308\)
\(a_{51}=-0.789399282\) \(a_{52}=-1.806534858\) \(a_{53}=-0.736229369\) \(a_{54}=+1.570240615\) \(a_{55}=-0.231544458\)
\(a_{56}=-0.228078153\) \(a_{57}=+1.141274358\) \(a_{58}=+1.823780702\) \(a_{59}=-0.067466888\) \(a_{60}=+0.378399295\)
\(a_{61}=-1.935849912\) \(a_{62}=+0.080940614\) \(a_{63}=+0.367106753\) \(a_{64}=-1.373832136\) \(a_{65}=+0.664945708\)
\(a_{66}=-0.536619122\) \(a_{67}=-1.178894052\) \(a_{68}=+1.377246639\) \(a_{69}=-0.423805848\) \(a_{70}=+0.474423876\)
\(a_{71}=+0.972124171\) \(a_{72}=-0.164795776\) \(a_{73}=-0.317344057\) \(a_{74}=+1.298478953\) \(a_{75}=-0.139280449\)
\(a_{76}=-1.991155019\) \(a_{77}=-0.369049316\) \(a_{78}=+1.541054194\) \(a_{79}=-0.435697496\) \(a_{80}=+0.330392228\)
\(a_{81}=-0.219726462\) \(a_{82}=-0.190717294\) \(a_{83}=+1.095822184\) \(a_{84}=+0.603115251\) \(a_{85}=-0.506934169\)
\(a_{86}=-1.733385890\) \(a_{87}=-0.853387309\) \(a_{88}=+0.165667767\) \(a_{89}=-0.705473454\) \(a_{90}=+0.342790672\)
\(a_{91}=+1.059829903\) \(a_{92}=+0.739404259\) \(a_{93}=-0.037873891\) \(a_{94}=-0.207165035\) \(a_{95}=+0.732900323\)
\(a_{96}=+0.988537779\) \(a_{97}=+0.562728096\) \(a_{98}=-0.732121645\) \(a_{99}=-0.266653208\) \(a_{100}=+0.242999374\)

Showing 100 of 5000 available coefficients

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