Properties

Level $773$
Weight $0$
Character 773.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 773 \)
Weight: \( 0 \)
Character: 773.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 0.8679504781 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.594519382\) \(a_{3}=+0.098447128\) \(a_{4}=-0.646546609\) \(a_{5}=+0.357739359\)
\(a_{6}=-0.058528745\) \(a_{7}=-1.231469531\) \(a_{8}=+0.978903851\) \(a_{9}=-0.990308163\) \(a_{10}=-0.212682964\)
\(a_{11}=-0.907389123\) \(a_{12}=-0.063650694\) \(a_{13}=-1.347674413\) \(a_{14}=+0.732132416\) \(a_{15}=+0.035218436\)
\(a_{16}=+0.064569288\) \(a_{17}=+1.101460528\) \(a_{18}=+0.588757404\) \(a_{19}=+0.341852788\) \(a_{20}=-0.231295197\)
\(a_{21}=-0.121234615\) \(a_{22}=+0.539460339\) \(a_{23}=+1.223508214\) \(a_{24}=+0.096370344\) \(a_{25}=-0.872022677\)
\(a_{26}=+0.801218702\) \(a_{27}=-0.195940129\) \(a_{28}=+0.796202533\) \(a_{29}=-0.188970956\) \(a_{30}=-0.020937987\)
\(a_{31}=-1.109660091\) \(a_{32}=-1.017291618\) \(a_{33}=-0.089329822\) \(a_{34}=-0.654839579\) \(a_{35}=-0.440544903\)
\(a_{36}=+0.640280426\) \(a_{37}=-1.324189478\) \(a_{38}=-0.203238025\) \(a_{39}=-0.132674795\) \(a_{40}=+0.350192436\)
\(a_{41}=+1.747667279\) \(a_{42}=+0.072076386\) \(a_{43}=-0.000521050\) \(a_{44}=+0.586669394\) \(a_{45}=-0.354272203\)
\(a_{46}=-0.727399437\) \(a_{47}=-0.993690201\) \(a_{48}=+0.006356668\) \(a_{49}=+0.516516802\) \(a_{50}=+0.518434263\)
\(a_{51}=+0.108435681\) \(a_{52}=+0.871334319\) \(a_{53}=+0.706346537\) \(a_{54}=+0.116490133\) \(a_{55}=-0.324608708\)
\(a_{56}=-1.205490172\) \(a_{57}=+0.033654345\) \(a_{58}=+0.112346861\) \(a_{59}=+1.747879121\) \(a_{60}=-0.022770424\)
\(a_{61}=+0.907347240\) \(a_{62}=+0.659714636\) \(a_{63}=+1.219534180\) \(a_{64}=+0.540230489\) \(a_{65}=-0.482116280\)
\(a_{66}=+0.053108373\) \(a_{67}=-0.490760037\) \(a_{68}=-0.712145706\) \(a_{69}=+0.120450994\) \(a_{70}=+0.261912503\)
\(a_{71}=+0.419211992\) \(a_{72}=-0.969416491\) \(a_{73}=-1.075066628\) \(a_{74}=+0.787256258\) \(a_{75}=-0.085848120\)
\(a_{76}=-0.221023772\) \(a_{77}=+1.117421941\) \(a_{78}=+0.078877687\) \(a_{79}=-0.301823342\) \(a_{80}=+0.023099081\)
\(a_{81}=+0.971018328\) \(a_{82}=-1.039022090\) \(a_{83}=-0.785440816\) \(a_{84}=+0.078383870\) \(a_{85}=+0.394035641\)
\(a_{86}=+0.000309698\) \(a_{87}=-0.018603499\) \(a_{88}=-0.888246655\) \(a_{89}=+1.492176399\) \(a_{90}=+0.210621757\)
\(a_{91}=+1.659620055\) \(a_{92}=-0.791055319\) \(a_{93}=-0.109242969\) \(a_{94}=+0.590768067\) \(a_{95}=+0.122294038\)
\(a_{96}=-0.100149496\) \(a_{97}=-0.282792771\) \(a_{98}=-0.307079293\) \(a_{99}=+0.898594783\) \(a_{100}=+0.563803360\)

Showing 100 of 2098 available coefficients

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