Properties

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

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Maass form invariants

Level: \( 1 \)
Weight: \( 0 \)
Character: 1.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 26.1520854492 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.866161662\) \(a_{3}=-0.403762750\) \(a_{4}=+2.482559347\) \(a_{5}=-0.160387917\)
\(a_{6}=+0.753486565\) \(a_{7}=-0.621129114\) \(a_{8}=-2.766695415\) \(a_{9}=-0.836975642\) \(a_{10}=+0.299309782\)
\(a_{11}=-0.438052147\) \(a_{12}=-1.002364989\) \(a_{13}=-0.273934594\) \(a_{14}=+1.159127344\) \(a_{15}=+0.064758626\)
\(a_{16}=+2.680541566\) \(a_{17}=-0.816051246\) \(a_{18}=+1.561931854\) \(a_{19}=+0.397598715\) \(a_{20}=-0.398172523\)
\(a_{21}=+0.250788799\) \(a_{22}=+0.817476122\) \(a_{23}=-1.162690726\) \(a_{24}=+1.117088549\) \(a_{25}=-0.974275716\)
\(a_{26}=+0.511206236\) \(a_{27}=+0.741702337\) \(a_{28}=-1.541989887\) \(a_{29}=+0.745354320\) \(a_{30}=-0.120850141\)
\(a_{31}=+1.441668187\) \(a_{32}=-2.235628487\) \(a_{33}=+0.176869140\) \(a_{34}=+1.522883549\) \(a_{35}=+0.099621605\)
\(a_{36}=-2.077841703\) \(a_{37}=+1.731702471\) \(a_{38}=-0.741983479\) \(a_{39}=+0.110604585\) \(a_{40}=+0.443744515\)
\(a_{41}=-0.138558989\) \(a_{42}=-0.468012442\) \(a_{43}=+0.642886356\) \(a_{44}=-1.087490452\) \(a_{45}=+0.134240780\)
\(a_{46}=+2.169768856\) \(a_{47}=-1.203246332\) \(a_{48}=-1.082302834\) \(a_{49}=-0.614198624\) \(a_{50}=+1.818155989\)
\(a_{51}=+0.329491095\) \(a_{52}=-0.680058886\) \(a_{53}=+0.295307540\) \(a_{54}=-1.384136465\) \(a_{55}=+0.070258271\)
\(a_{56}=+1.718475071\) \(a_{57}=-0.160535549\) \(a_{58}=-1.390951658\) \(a_{59}=+0.714877983\) \(a_{60}=+0.160767230\)
\(a_{61}=+1.077862816\) \(a_{62}=-2.690385896\) \(a_{63}=+0.519869934\) \(a_{64}=+1.491502607\) \(a_{65}=+0.043935799\)
\(a_{66}=-0.330066407\) \(a_{67}=+0.709586785\) \(a_{68}=-2.025895648\) \(a_{69}=+0.469451205\) \(a_{70}=-0.185910019\)
\(a_{71}=+0.214542863\) \(a_{72}=+2.315656670\) \(a_{73}=+0.027736917\) \(a_{74}=-3.231636760\) \(a_{75}=+0.393376242\)
\(a_{76}=+0.987062407\) \(a_{77}=+0.272086942\) \(a_{78}=-0.206406036\) \(a_{79}=+0.183308471\) \(a_{80}=-0.429926478\)
\(a_{81}=+0.537503866\) \(a_{82}=+0.258573473\) \(a_{83}=-1.021312217\) \(a_{84}=+0.622598077\) \(a_{85}=+0.130884759\)
\(a_{86}=-1.199729870\) \(a_{87}=-0.300946310\) \(a_{88}=+1.211956867\) \(a_{89}=+1.394661926\) \(a_{90}=-0.250514997\)
\(a_{91}=+0.170148751\) \(a_{92}=-2.886448729\) \(a_{93}=-0.582091912\) \(a_{94}=+2.245452174\) \(a_{95}=-0.063770030\)
\(a_{96}=+0.902663506\) \(a_{97}=-1.181480697\) \(a_{98}=+1.146193925\) \(a_{99}=+0.366638975\) \(a_{100}=-2.418697285\)

Showing 100 of 5000 available coefficients

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