Properties

Level $2$
Weight $0$
Character 2.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 21.6299863738 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106780\) \(a_{3}=-1.076270092\) \(a_{4}=+0.500000000\) \(a_{5}=-0.274152405\)
\(a_{6}=-0.761037879\) \(a_{7}=+1.645259737\) \(a_{8}=+0.353553388\) \(a_{9}=+0.158357311\) \(a_{10}=-0.193855024\)
\(a_{11}=-0.433552577\) \(a_{12}=-0.538135044\) \(a_{13}=-1.585015848\) \(a_{14}=+1.163374314\) \(a_{15}=+0.295062034\)
\(a_{16}=+0.249999998\) \(a_{17}=+0.353679937\) \(a_{18}=+0.111975528\) \(a_{19}=-1.274619044\) \(a_{20}=-0.137076202\)
\(a_{21}=-1.770743848\) \(a_{22}=-0.306567966\) \(a_{23}=-0.383832509\) \(a_{24}=-0.380518938\) \(a_{25}=-0.924840459\)
\(a_{26}=-1.120775452\) \(a_{27}=+0.905834854\) \(a_{28}=+0.822629865\) \(a_{29}=-1.566629401\) \(a_{30}=+0.208640365\)
\(a_{31}=-0.417814595\) \(a_{32}=+0.176776693\) \(a_{33}=+0.466619672\) \(a_{34}=+0.250089481\) \(a_{35}=-0.451051913\)
\(a_{36}=+0.079178655\) \(a_{37}=-0.422543554\) \(a_{38}=-0.901291767\) \(a_{39}=+1.705905153\) \(a_{40}=-0.096927512\)
\(a_{41}=+0.207069147\) \(a_{42}=-1.252104980\) \(a_{43}=+0.762510654\) \(a_{44}=-0.216776288\) \(a_{45}=-0.043414038\)
\(a_{46}=-0.271410569\) \(a_{47}=+0.188136877\) \(a_{48}=-0.269067521\) \(a_{49}=+1.706879601\) \(a_{50}=-0.653960959\)
\(a_{51}=-0.380655139\) \(a_{52}=-0.792507921\) \(a_{53}=-0.471213914\) \(a_{54}=+0.640521967\) \(a_{55}=+0.118859482\)
\(a_{56}=+0.581687155\) \(a_{57}=+1.371834356\) \(a_{58}=-1.107774271\) \(a_{59}=-1.140290962\) \(a_{60}=+0.147531016\)
\(a_{61}=+0.207644044\) \(a_{62}=-0.295439533\) \(a_{63}=+0.260538908\) \(a_{64}=+0.124999998\) \(a_{65}=+0.434535907\)
\(a_{66}=+0.329949934\) \(a_{67}=-0.568729683\) \(a_{68}=+0.176839968\) \(a_{69}=+0.413107450\) \(a_{70}=-0.318941866\)
\(a_{71}=-1.507340231\) \(a_{72}=+0.055987764\) \(a_{73}=+1.222764318\) \(a_{74}=-0.298783411\) \(a_{75}=+0.995378126\)
\(a_{76}=-0.637309519\) \(a_{77}=-0.713306598\) \(a_{78}=+1.206257099\) \(a_{79}=+0.078244042\) \(a_{80}=-0.068538101\)
\(a_{81}=-1.133280273\) \(a_{82}=+0.146419998\) \(a_{83}=+0.126288223\) \(a_{84}=-0.885371920\) \(a_{85}=-0.096962205\)
\(a_{86}=+0.539176453\) \(a_{87}=+1.686116370\) \(a_{88}=-0.153283983\) \(a_{89}=+0.795483235\) \(a_{90}=-0.030698360\)
\(a_{91}=-2.607762757\) \(a_{92}=-0.191916254\) \(a_{93}=+0.449681353\) \(a_{94}=+0.133032861\) \(a_{95}=+0.349439876\)
\(a_{96}=-0.190259468\) \(a_{97}=-0.099950316\) \(a_{98}=+1.206946138\) \(a_{99}=-0.068656220\) \(a_{100}=-0.462420228\)

Showing 100 of 1228 available coefficients

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