Properties

Label 11.38
Level 1111
Weight 00
Character 11.1
Symmetry odd
RR 7.599266
Fricke sign +1+1

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Maass form invariants

Level: 11 11
Weight: 0 0
Character: 11.1
Symmetry: odd
Fricke sign: +1+1
Spectral parameter: 7.59926619692645837952332821359±210117.59926619692645837952332821359 \pm 2 \cdot 10^{-11}

Maass form coefficients

The coefficients here are shown to at most 88 digits of precision. Full precision coefficients are available in the downloads.

a1=+1a_{1}= +1 a2=+0.87766224±2.3108a_{2}= +0.87766224 \pm 2.3 \cdot 10^{-8} a3=+1.16124289±1.9108a_{3}= +1.16124289 \pm 1.9 \cdot 10^{-8}
a4=0.22970900±2.7108a_{4}= -0.22970900 \pm 2.7 \cdot 10^{-8} a5=1.92995095±2.0108a_{5}= -1.92995095 \pm 2.0 \cdot 10^{-8} a6=+1.01917903±2.3108a_{6}= +1.01917903 \pm 2.3 \cdot 10^{-8}
a7=0.08110149±2.0108a_{7}= -0.08110149 \pm 2.0 \cdot 10^{-8} a8=1.07926915±2.3108a_{8}= -1.07926915 \pm 2.3 \cdot 10^{-8} a9=+0.34848504±2.1108a_{9}= +0.34848504 \pm 2.1 \cdot 10^{-8}
a10=1.69384507±2.4108a_{10}= -1.69384507 \pm 2.4 \cdot 10^{-8} a11=0.30151134±1.0108a_{11}= -0.30151134 \pm 1.0 \cdot 10^{-8} a12=0.26674794±2.5108a_{12}= -0.26674794 \pm 2.5 \cdot 10^{-8}
a13=+0.69505004±1.5108a_{13}= +0.69505004 \pm 1.5 \cdot 10^{-8} a14=0.07117971±1.6108a_{14}= -0.07117971 \pm 1.6 \cdot 10^{-8} a15=2.24114181±1.5108a_{15}= -2.24114181 \pm 1.5 \cdot 10^{-8}
a16=0.71752478±2.0108a_{16}= -0.71752478 \pm 2.0 \cdot 10^{-8} a17=0.54788802±1.9108a_{17}= -0.54788802 \pm 1.9 \cdot 10^{-8} a18=+0.30585216±2.2108a_{18}= +0.30585216 \pm 2.2 \cdot 10^{-8}
a19=+0.25455234±1.4108a_{19}= +0.25455234 \pm 1.4 \cdot 10^{-8} a20=+0.44332710±2.6108a_{20}= +0.44332710 \pm 2.6 \cdot 10^{-8} a21=0.09417852±1.5108a_{21}= -0.09417852 \pm 1.5 \cdot 10^{-8}
a22=0.26462512±3.4108a_{22}= -0.26462512 \pm 3.4 \cdot 10^{-8} a23=1.28028189±1.8108a_{23}= -1.28028189 \pm 1.8 \cdot 10^{-8} a24=1.25329362±2.6108a_{24}= -1.25329362 \pm 2.6 \cdot 10^{-8}
a25=+2.72471067±1.6108a_{25}= +2.72471067 \pm 1.6 \cdot 10^{-8} a26=+0.61001917±1.2108a_{26}= +0.61001917 \pm 1.2 \cdot 10^{-8} a27=0.75656711±1.8108a_{27}= -0.75656711 \pm 1.8 \cdot 10^{-8}
a28=+0.01862974±2.0108a_{28}= +0.01862974 \pm 2.0 \cdot 10^{-8} a29=0.49018473±1.8108a_{29}= -0.49018473 \pm 1.8 \cdot 10^{-8} a30=1.96696554±1.4108a_{30}= -1.96696554 \pm 1.4 \cdot 10^{-8}
a31=+1.19909892±1.9108a_{31}= +1.19909892 \pm 1.9 \cdot 10^{-8} a32=+0.44952475±1.6108a_{32}= +0.44952475 \pm 1.6 \cdot 10^{-8} a33=0.35012790±2.9108a_{33}= -0.35012790 \pm 2.9 \cdot 10^{-8}
a34=0.48086063±2.3108a_{34}= -0.48086063 \pm 2.3 \cdot 10^{-8} a35=+0.15652189±1.9108a_{35}= +0.15652189 \pm 1.9 \cdot 10^{-8} a36=0.08005015±2.2108a_{36}= -0.08005015 \pm 2.2 \cdot 10^{-8}
a37=+0.26849749±1.9108a_{37}= +0.26849749 \pm 1.9 \cdot 10^{-8} a38=+0.22341098±1.9108a_{38}= +0.22341098 \pm 1.9 \cdot 10^{-8} a39=+0.80712192±1.1108a_{39}= +0.80712192 \pm 1.1 \cdot 10^{-8}
a40=+2.08293652±1.8108a_{40}= +2.08293652 \pm 1.8 \cdot 10^{-8} a41=1.85859339±1.3108a_{41}= -1.85859339 \pm 1.3 \cdot 10^{-8} a42=0.08265693±1.7108a_{42}= -0.08265693 \pm 1.7 \cdot 10^{-8}
a43=+0.20634587±1.9108a_{43}= +0.20634587 \pm 1.9 \cdot 10^{-8} a44=+0.06925987±3.7108a_{44}= +0.06925987 \pm 3.7 \cdot 10^{-8} a45=0.67255904±2.1108a_{45}= -0.67255904 \pm 2.1 \cdot 10^{-8}
a46=1.12365507±2.6108a_{46}= -1.12365507 \pm 2.6 \cdot 10^{-8} a47=+0.09776346±1.6108a_{47}= +0.09776346 \pm 1.6 \cdot 10^{-8} a48=0.83322055±2.0108a_{48}= -0.83322055 \pm 2.0 \cdot 10^{-8}
a49=0.99342255±1.7108a_{49}= -0.99342255 \pm 1.7 \cdot 10^{-8} a50=+2.39137566±2.5108a_{50}= +2.39137566 \pm 2.5 \cdot 10^{-8} a51=0.63623107±1.9108a_{51}= -0.63623107 \pm 1.9 \cdot 10^{-8}
a52=0.15965925±1.6108a_{52}= -0.15965925 \pm 1.6 \cdot 10^{-8} a53=+1.22319198±1.5108a_{53}= +1.22319198 \pm 1.5 \cdot 10^{-8} a54=0.66401038±1.5108a_{54}= -0.66401038 \pm 1.5 \cdot 10^{-8}
a55=+0.58190211±3.0108a_{55}= +0.58190211 \pm 3.0 \cdot 10^{-8} a56=+0.08753033±1.3108a_{56}= +0.08753033 \pm 1.3 \cdot 10^{-8} a57=+0.29559710±1.2108a_{57}= +0.29559710 \pm 1.2 \cdot 10^{-8}
a58=0.43021663±1.8108a_{58}= -0.43021663 \pm 1.8 \cdot 10^{-8} a59=+0.27735127±2.2108a_{59}= +0.27735127 \pm 2.2 \cdot 10^{-8} a60=+0.51481044±1.2108a_{60}= +0.51481044 \pm 1.2 \cdot 10^{-8}

Displaying ana_n with nn up to: 60 180 1000