Properties

Level $11$
Weight $0$
Character 11.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 3.0325128349 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.798620396\) \(a_{3}=-1.271845848\) \(a_{4}=+2.235035328\) \(a_{5}=-0.203754907\)
\(a_{6}=-2.287567882\) \(a_{7}=+0.336099844\) \(a_{8}=+2.221359730\) \(a_{9}=+0.617591861\) \(a_{10}=-0.366477731\)
\(a_{11}=+0.301511345\) \(a_{12}=-2.842620401\) \(a_{13}=-0.291135704\) \(a_{14}=+0.604516035\) \(a_{15}=+0.259144832\)
\(a_{16}=+1.760347588\) \(a_{17}=-1.413646826\) \(a_{18}=+1.110813318\) \(a_{19}=+0.509497923\) \(a_{20}=-0.455399417\)
\(a_{21}=-0.427467193\) \(a_{22}=+0.542304460\) \(a_{23}=+1.579394848\) \(a_{24}=-2.825227149\) \(a_{25}=-0.958483938\)
\(a_{26}=-0.523642615\) \(a_{27}=+0.486364205\) \(a_{28}=+0.751195025\) \(a_{29}=+0.900900798\) \(a_{30}=+0.466103181\)
\(a_{31}=-0.225375937\) \(a_{32}=+0.944837351\) \(a_{33}=-0.383475957\) \(a_{34}=-2.542614014\) \(a_{35}=-0.068481990\)
\(a_{36}=+1.380339625\) \(a_{37}=+0.407673902\) \(a_{38}=+0.916393328\) \(a_{39}=+0.370279728\) \(a_{40}=-0.452612924\)
\(a_{41}=-0.040053392\) \(a_{42}=-0.768851148\) \(a_{43}=-1.076298249\) \(a_{44}=+0.673888506\) \(a_{45}=-0.125837373\)
\(a_{46}=+2.840731786\) \(a_{47}=-0.837765167\) \(a_{48}=-2.238890769\) \(a_{49}=-0.887036895\) \(a_{50}=-1.723948762\)
\(a_{51}=+1.797940843\) \(a_{52}=-0.650698581\) \(a_{53}=+0.458374322\) \(a_{54}=+0.874784584\) \(a_{55}=-0.061434421\)
\(a_{56}=+0.746598648\) \(a_{57}=-0.648002814\) \(a_{58}=+1.620378564\) \(a_{59}=+1.137668814\) \(a_{60}=+0.579197867\)
\(a_{61}=-0.079328148\) \(a_{62}=-0.405365755\) \(a_{63}=+0.207572572\) \(a_{64}=-0.060943802\) \(a_{65}=+0.059320329\)
\(a_{66}=-0.689727672\) \(a_{67}=-0.721250334\) \(a_{68}=-3.159550593\) \(a_{69}=-2.008746790\) \(a_{70}=-0.123173105\)
\(a_{71}=+0.516927507\) \(a_{72}=+1.371893745\) \(a_{73}=+0.083184358\) \(a_{74}=+0.733250548\) \(a_{75}=+1.219043815\)
\(a_{76}=+1.138745857\) \(a_{77}=+0.101337931\) \(a_{78}=+0.665992662\) \(a_{79}=+0.779295516\) \(a_{80}=-0.358679488\)
\(a_{81}=-1.236172146\) \(a_{82}=-0.072040882\) \(a_{83}=+0.783334795\) \(a_{84}=-0.955404277\) \(a_{85}=+0.288037500\)
\(a_{86}=-1.935852016\) \(a_{87}=-1.145806902\) \(a_{88}=+0.669765151\) \(a_{89}=+1.739923290\) \(a_{90}=-0.226333658\)
\(a_{91}=-0.097850671\) \(a_{92}=+3.530003365\) \(a_{93}=+0.286643367\) \(a_{94}=-1.506821453\) \(a_{95}=-0.103812748\)
\(a_{96}=-1.201687476\) \(a_{97}=-0.858846101\) \(a_{98}=-1.595442717\) \(a_{99}=+0.186210867\) \(a_{100}=-2.142245407\)

Showing 100 of 1000 available coefficients

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