Properties

Level $557$
Weight $0$
Character 557.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 557 \)
Weight: \( 0 \)
Character: 557.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 0.54104829442 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.847663742\) \(a_{3}=-1.728520499\) \(a_{4}=+2.413861279\) \(a_{5}=+0.229485023\)
\(a_{6}=-3.193724557\) \(a_{7}=-0.857699783\) \(a_{8}=+2.612340257\) \(a_{9}=+1.987783023\) \(a_{10}=+0.424011160\)
\(a_{11}=+1.116989529\) \(a_{12}=-4.172408643\) \(a_{13}=+1.675621856\) \(a_{14}=-1.584740840\) \(a_{15}=-0.396669609\)
\(a_{16}=+2.412865197\) \(a_{17}=+0.736588165\) \(a_{18}=+3.672754551\) \(a_{19}=-0.004004115\) \(a_{20}=+0.553945046\)
\(a_{21}=+1.482551710\) \(a_{22}=+2.063821069\) \(a_{23}=+0.999366458\) \(a_{24}=-4.515483733\) \(a_{25}=-0.947336603\)
\(a_{26}=+3.095985884\) \(a_{27}=-1.707403097\) \(a_{28}=-2.070368349\) \(a_{29}=-1.846105570\) \(a_{30}=-0.732911931\)
\(a_{31}=+0.626080250\) \(a_{32}=+1.845823204\) \(a_{33}=-1.930739256\) \(a_{34}=+1.360967294\) \(a_{35}=-0.196829212\)
\(a_{36}=+4.798232479\) \(a_{37}=-0.581711239\) \(a_{38}=-0.007398231\) \(a_{39}=-2.896346760\) \(a_{40}=+0.599492965\)
\(a_{41}=+0.268817267\) \(a_{42}=+2.739256995\) \(a_{43}=+0.405136476\) \(a_{44}=+2.696257908\) \(a_{45}=+0.456166437\)
\(a_{46}=+1.846493218\) \(a_{47}=+0.269964254\) \(a_{48}=-4.170686834\) \(a_{49}=-0.264351070\) \(a_{50}=-1.750359550\)
\(a_{51}=-1.273207793\) \(a_{52}=+4.044718990\) \(a_{53}=+1.127631811\) \(a_{54}=-3.154706854\) \(a_{55}=+0.256332409\)
\(a_{56}=-2.240603717\) \(a_{57}=+0.006921123\) \(a_{58}=-3.410982211\) \(a_{59}=-0.744834697\) \(a_{60}=-0.957505317\)
\(a_{61}=-0.482849668\) \(a_{62}=+1.156785895\) \(a_{63}=-1.704921097\) \(a_{64}=+0.997595336\) \(a_{65}=+0.384530102\)
\(a_{66}=-3.567356963\) \(a_{67}=-1.321862127\) \(a_{68}=+1.778021678\) \(a_{69}=-1.727425422\) \(a_{70}=-0.363674264\)
\(a_{71}=+0.517807162\) \(a_{72}=+5.192765699\) \(a_{73}=-1.256088788\) \(a_{74}=-1.074806760\) \(a_{75}=+1.637490703\)
\(a_{76}=-0.009665357\) \(a_{77}=-0.958041673\) \(a_{78}=-5.351474931\) \(a_{79}=+0.266712835\) \(a_{80}=+0.553716358\)
\(a_{81}=+0.963498285\) \(a_{82}=+0.496684117\) \(a_{83}=+1.563012668\) \(a_{84}=+3.578674097\) \(a_{85}=+0.169035908\)
\(a_{86}=+0.748555985\) \(a_{87}=+3.191031095\) \(a_{88}=+2.917956867\) \(a_{89}=+0.573143220\) \(a_{90}=+0.842842136\)
\(a_{91}=-1.437180553\) \(a_{92}=+2.412332078\) \(a_{93}=-1.082192504\) \(a_{94}=+0.498803075\) \(a_{95}=-0.000918880\)
\(a_{96}=-3.190543233\) \(a_{97}=-1.019517896\) \(a_{98}=-0.488431909\) \(a_{99}=+2.220332853\) \(a_{100}=-2.286739317\)

Showing 100 of 1558 available coefficients

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