Properties

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

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 6.24170166435 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.019207193\) \(a_{3}=+0.356375289\) \(a_{4}=+0.038783303\) \(a_{5}=+1.519926915\)
\(a_{6}=-0.363220258\) \(a_{7}=-1.192491461\) \(a_{8}=+0.979678972\) \(a_{9}=-0.872996653\) \(a_{10}=-1.549120445\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.013821411\) \(a_{13}=-1.390187767\) \(a_{14}=+1.215395875\) \(a_{15}=+0.541664394\)
\(a_{16}=-1.037279158\) \(a_{17}=+0.051739057\) \(a_{18}=+0.889764469\) \(a_{19}=-1.504576127\) \(a_{20}=+0.058947785\)
\(a_{21}=-0.424974489\) \(a_{22}=-0.307302531\) \(a_{23}=-0.294691090\) \(a_{24}=+0.349133377\) \(a_{25}=+1.310177827\)
\(a_{26}=+1.416889372\) \(a_{27}=-0.667489724\) \(a_{28}=-0.046248757\) \(a_{29}=-0.614391799\) \(a_{30}=-0.552068247\)
\(a_{31}=+0.075399632\) \(a_{32}=+0.077523407\) \(a_{33}=+0.107451193\) \(a_{34}=-0.052732819\) \(a_{35}=-1.812499868\)
\(a_{36}=-0.033857693\) \(a_{37}=-0.340923168\) \(a_{38}=+1.533474811\) \(a_{39}=-0.495428568\) \(a_{40}=+1.489040438\)
\(a_{41}=+1.206067406\) \(a_{42}=+0.433137056\) \(a_{43}=-1.137221832\) \(a_{44}=+0.011693606\) \(a_{45}=-1.326891110\)
\(a_{46}=+0.300351279\) \(a_{47}=+0.546165813\) \(a_{48}=-0.369660660\) \(a_{49}=+0.422035885\) \(a_{50}=-1.335342666\)
\(a_{51}=+0.018438521\) \(a_{52}=-0.053916073\) \(a_{53}=+0.475397825\) \(a_{54}=+0.680310328\) \(a_{55}=+0.458275208\)
\(a_{56}=-1.168258809\) \(a_{57}=-0.536193752\) \(a_{58}=+0.626192541\) \(a_{59}=-0.911299334\) \(a_{60}=+0.021007534\)
\(a_{61}=+0.713405882\) \(a_{62}=-0.076847847\) \(a_{63}=+1.041041055\) \(a_{64}=+0.958266744\) \(a_{65}=-2.112983804\)
\(a_{66}=-0.109515028\) \(a_{67}=+1.014805663\) \(a_{68}=+0.002006612\) \(a_{69}=-0.105020622\) \(a_{70}=+1.847312903\)
\(a_{71}=+0.222010816\) \(a_{72}=-0.855256464\) \(a_{73}=-1.388807386\) \(a_{74}=+0.347471345\) \(a_{75}=+0.466915002\)
\(a_{76}=-0.058352431\) \(a_{77}=-0.359549704\) \(a_{78}=+0.504944360\) \(a_{79}=-1.310369551\) \(a_{80}=-1.576588511\)
\(a_{81}=+0.635119810\) \(a_{82}=-1.229232576\) \(a_{83}=+0.441955072\) \(a_{84}=-0.016481914\) \(a_{85}=+0.078639585\)
\(a_{86}=+1.159064672\) \(a_{87}=-0.218954055\) \(a_{88}=+0.295384324\) \(a_{89}=+0.270586361\) \(a_{90}=+1.352376964\)
\(a_{91}=+1.657787042\) \(a_{92}=-0.011429094\) \(a_{93}=+0.026870566\) \(a_{94}=-0.556656125\) \(a_{95}=-2.286845751\)
\(a_{96}=+0.027627427\) \(a_{97}=+1.699720973\) \(a_{98}=-0.430142010\) \(a_{99}=-0.263218395\) \(a_{100}=+0.050813023\)

Showing 100 of 546 available coefficients

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