Properties

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

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Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 26.8083242393 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+0.906208363\) \(a_{4}=+0.500000000\) \(a_{5}=+0.985735234\)
\(a_{6}=+0.640786079\) \(a_{7}=+1.166735861\) \(a_{8}=+0.353553391\) \(a_{9}=-0.178786402\) \(a_{10}=+0.697020068\)
\(a_{11}=+1.274563911\) \(a_{12}=+0.453104182\) \(a_{13}=-1.160605881\) \(a_{14}=+0.825006839\) \(a_{15}=+0.893281513\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.507793993\) \(a_{18}=-0.126421077\) \(a_{19}=+0.131884130\) \(a_{20}=+0.492867617\)
\(a_{21}=+1.057305795\) \(a_{22}=+0.901252784\) \(a_{23}=-1.780237990\) \(a_{24}=+0.320393039\) \(a_{25}=-0.028326049\)
\(a_{26}=-0.820672289\) \(a_{27}=-1.068226096\) \(a_{28}=+0.583367930\) \(a_{29}=+0.403962058\) \(a_{30}=+0.631645415\)
\(a_{31}=+0.992002338\) \(a_{32}=+0.176776695\) \(a_{33}=+1.155020476\) \(a_{34}=+0.359064576\) \(a_{35}=+1.150092646\)
\(a_{36}=-0.089393201\) \(a_{37}=+1.770534785\) \(a_{38}=+0.093256163\) \(a_{39}=-1.051750756\) \(a_{40}=+0.348510034\)
\(a_{41}=+0.988272102\) \(a_{42}=+0.747628097\) \(a_{43}=-0.704267035\) \(a_{44}=+0.637281955\) \(a_{45}=-0.176236056\)
\(a_{46}=-1.258818355\) \(a_{47}=+0.856587305\) \(a_{48}=+0.226552091\) \(a_{49}=+0.361272568\) \(a_{50}=-0.020029541\)
\(a_{51}=+0.460167163\) \(a_{52}=-0.580302941\) \(a_{53}=-0.664469603\) \(a_{54}=-0.755349917\) \(a_{55}=+1.256382554\)
\(a_{56}=+0.412503419\) \(a_{57}=+0.119514502\) \(a_{58}=+0.285644311\) \(a_{59}=-1.237342483\) \(a_{60}=+0.446640756\)
\(a_{61}=-0.513446068\) \(a_{62}=+0.701451580\) \(a_{63}=-0.208596507\) \(a_{64}=+0.125000000\) \(a_{65}=-1.144050110\)
\(a_{66}=+0.816722811\) \(a_{67}=+1.177539062\) \(a_{68}=+0.253896996\) \(a_{69}=-1.613266556\) \(a_{70}=+0.813238309\)
\(a_{71}=-0.916114743\) \(a_{72}=-0.063210539\) \(a_{73}=-0.593007269\) \(a_{74}=+1.251957153\) \(a_{75}=-0.025669303\)
\(a_{76}=+0.065942065\) \(a_{77}=+1.487079421\) \(a_{78}=-0.743700092\) \(a_{79}=-1.334607990\) \(a_{80}=+0.246433808\)
\(a_{81}=-0.789249020\) \(a_{82}=+0.698813905\) \(a_{83}=-0.292820812\) \(a_{84}=+0.528652897\) \(a_{85}=+0.500550430\)
\(a_{86}=-0.497991996\) \(a_{87}=+0.366073796\) \(a_{88}=+0.450626392\) \(a_{89}=+0.078993978\) \(a_{90}=-0.124617710\)
\(a_{91}=-1.354120502\) \(a_{92}=-0.890118995\) \(a_{93}=+0.898960815\) \(a_{94}=+0.605698692\) \(a_{95}=+0.130002834\)
\(a_{96}=+0.160196520\) \(a_{97}=-0.147669893\) \(a_{98}=+0.255458283\) \(a_{99}=-0.227874696\) \(a_{100}=-0.014163025\)

Showing 100 of 1228 available coefficients

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