Properties

Level $787$
Weight $0$
Character 787.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 787 \)
Weight: \( 0 \)
Character: 787.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 0.92681762827 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.110932850\) \(a_{3}=+0.713119795\) \(a_{4}=-0.987693894\) \(a_{5}=+0.040192250\)
\(a_{6}=+0.079108341\) \(a_{7}=+0.086180629\) \(a_{8}=-0.220500402\) \(a_{9}=-0.491460171\) \(a_{10}=+0.004458565\)
\(a_{11}=+0.148484935\) \(a_{12}=-0.704344049\) \(a_{13}=+0.609342727\) \(a_{14}=+0.009560169\) \(a_{15}=+0.028661964\)
\(a_{16}=+0.963233184\) \(a_{17}=+0.371798054\) \(a_{18}=-0.054519086\) \(a_{19}=-0.190245998\) \(a_{20}=-0.039697770\)
\(a_{21}=+0.061457047\) \(a_{22}=+0.016471880\) \(a_{23}=-1.638390043\) \(a_{24}=-0.157243295\) \(a_{25}=-0.998384566\)
\(a_{26}=+0.067596040\) \(a_{27}=-1.063589739\) \(a_{28}=-0.085120002\) \(a_{29}=-1.386111574\) \(a_{30}=+0.003179596\)
\(a_{31}=-1.528596816\) \(a_{32}=+0.327354552\) \(a_{33}=+0.105887580\) \(a_{34}=+0.041244606\) \(a_{35}=+0.003463809\)
\(a_{36}=+0.485412168\) \(a_{37}=-0.615488550\) \(a_{38}=-0.021104528\) \(a_{39}=+0.434534414\) \(a_{40}=-0.008862445\)
\(a_{41}=+0.293168873\) \(a_{42}=+0.006817590\) \(a_{43}=+0.675176563\) \(a_{44}=-0.146657680\) \(a_{45}=-0.019752914\)
\(a_{46}=-0.181751256\) \(a_{47}=+1.393044722\) \(a_{48}=+0.686900597\) \(a_{49}=-0.992572868\) \(a_{50}=-0.110753567\)
\(a_{51}=+0.265136572\) \(a_{52}=-0.601844216\) \(a_{53}=-1.177431973\) \(a_{54}=-0.117986993\) \(a_{55}=+0.005967931\)
\(a_{56}=-0.019002857\) \(a_{57}=-0.135668194\) \(a_{58}=-0.153765149\) \(a_{59}=-1.482628895\) \(a_{60}=-0.028309125\)
\(a_{61}=+1.559133429\) \(a_{62}=-0.169571511\) \(a_{63}=-0.042354323\) \(a_{64}=-0.926918804\) \(a_{65}=+0.024490945\)
\(a_{66}=+0.011746287\) \(a_{67}=-1.312556766\) \(a_{68}=-0.367222754\) \(a_{69}=-1.168368444\) \(a_{70}=+0.000384229\)
\(a_{71}=+1.770215577\) \(a_{72}=+0.108367220\) \(a_{73}=+1.083048522\) \(a_{74}=-0.068277760\) \(a_{75}=-0.711967831\)
\(a_{76}=+0.187904907\) \(a_{77}=+0.012796545\) \(a_{78}=+0.048204164\) \(a_{79}=-1.401318337\) \(a_{80}=+0.038714557\)
\(a_{81}=-0.267006734\) \(a_{82}=+0.032522089\) \(a_{83}=+0.721492277\) \(a_{84}=-0.060700763\) \(a_{85}=+0.014943428\)
\(a_{86}=+0.074899244\) \(a_{87}=-0.988463603\) \(a_{88}=-0.032740984\) \(a_{89}=+1.244164519\) \(a_{90}=-0.002191213\)
\(a_{91}=+0.052513509\) \(a_{92}=+1.618227998\) \(a_{93}=-1.090072650\) \(a_{94}=+0.154534374\) \(a_{95}=-0.007646366\)
\(a_{96}=+0.233443002\) \(a_{97}=-0.927896270\) \(a_{98}=-0.110108854\) \(a_{99}=-0.072974457\) \(a_{100}=+0.986098392\)

Showing 100 of 2140 available coefficients

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