Properties

Label 11.58
Level 1111
Weight 00
Character 11.1
Symmetry even
RR 9.226402
Fricke sign 1-1

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Maass form invariants

Level: 11 11
Weight: 0 0
Character: 11.1
Symmetry: even
Fricke sign: 1-1
Spectral parameter: 9.22640277044793374436943012276±610119.22640277044793374436943012276 \pm 6 \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=0.77968923±1108a_{2}= -0.77968923 \pm 1 \cdot 10^{-8} a3=1.65621401±1108a_{3}= -1.65621401 \pm 1 \cdot 10^{-8}
a4=0.39208470±1108a_{4}= -0.39208470 \pm 1 \cdot 10^{-8} a5=+0.01817320±1108a_{5}= +0.01817320 \pm 1 \cdot 10^{-8} a6=+1.29133223±1108a_{6}= +1.29133223 \pm 1 \cdot 10^{-8}
a7=0.49861412±1108a_{7}= -0.49861412 \pm 1 \cdot 10^{-8} a8=+1.08539345±1108a_{8}= +1.08539345 \pm 1 \cdot 10^{-8} a9=+1.74304484±1108a_{9}= +1.74304484 \pm 1 \cdot 10^{-8}
a10=0.01416945±1108a_{10}= -0.01416945 \pm 1 \cdot 10^{-8} a11=+0.30151134±1.0108a_{11}= +0.30151134 \pm 1.0 \cdot 10^{-8} a12=+0.64937617±1108a_{12}= +0.64937617 \pm 1 \cdot 10^{-8}
a13=+1.09793050±1108a_{13}= +1.09793050 \pm 1 \cdot 10^{-8} a14=+0.38876406±1108a_{14}= +0.38876406 \pm 1 \cdot 10^{-8} a15=0.03009870±1108a_{15}= -0.03009870 \pm 1 \cdot 10^{-8}
a16=0.45418489±1108a_{16}= -0.45418489 \pm 1 \cdot 10^{-8} a17=1.03231354±1108a_{17}= -1.03231354 \pm 1 \cdot 10^{-8} a18=1.35903330±1108a_{18}= -1.35903330 \pm 1 \cdot 10^{-8}
a19=0.81700415±1108a_{19}= -0.81700415 \pm 1 \cdot 10^{-8} a20=0.00712543±1108a_{20}= -0.00712543 \pm 1 \cdot 10^{-8} a21=+0.82581169±1108a_{21}= +0.82581169 \pm 1 \cdot 10^{-8}
a22=0.23508515±1.1108a_{22}= -0.23508515 \pm 1.1 \cdot 10^{-8} a23=+1.41882221±1108a_{23}= +1.41882221 \pm 1 \cdot 10^{-8} a24=1.79764384±1108a_{24}= -1.79764384 \pm 1 \cdot 10^{-8}
a25=0.99966973±1108a_{25}= -0.99966973 \pm 1 \cdot 10^{-8} a26=0.85604459±1108a_{26}= -0.85604459 \pm 1 \cdot 10^{-8} a27=1.23064128±1108a_{27}= -1.23064128 \pm 1 \cdot 10^{-8}
a28=+0.19549897±1108a_{28}= +0.19549897 \pm 1 \cdot 10^{-8} a29=+1.28247641±1108a_{29}= +1.28247641 \pm 1 \cdot 10^{-8} a30=+0.02346763±1108a_{30}= +0.02346763 \pm 1 \cdot 10^{-8}
a31=+0.05249040±1108a_{31}= +0.05249040 \pm 1 \cdot 10^{-8} a32=0.73127038±1108a_{32}= -0.73127038 \pm 1 \cdot 10^{-8} a33=0.49936731±1.1108a_{33}= -0.49936731 \pm 1.1 \cdot 10^{-8}
a34=+0.80488375±1108a_{34}= +0.80488375 \pm 1 \cdot 10^{-8} a35=0.00906141±1108a_{35}= -0.00906141 \pm 1 \cdot 10^{-8} a36=0.68342121±1108a_{36}= -0.68342121 \pm 1 \cdot 10^{-8}
a37=+0.99628271±1108a_{37}= +0.99628271 \pm 1 \cdot 10^{-8} a38=+0.63700934±1108a_{38}= +0.63700934 \pm 1 \cdot 10^{-8} a39=1.81840787±1108a_{39}= -1.81840787 \pm 1 \cdot 10^{-8}
a40=+0.01972507±1108a_{40}= +0.01972507 \pm 1 \cdot 10^{-8} a41=+1.83052949±1108a_{41}= +1.83052949 \pm 1 \cdot 10^{-8} a42=0.64387648±1108a_{42}= -0.64387648 \pm 1 \cdot 10^{-8}
a43=0.94170151±1108a_{43}= -0.94170151 \pm 1 \cdot 10^{-8} a44=0.11821798±1.0108a_{44}= -0.11821798 \pm 1.0 \cdot 10^{-8} a45=+0.03167670±1108a_{45}= +0.03167670 \pm 1 \cdot 10^{-8}
a46=1.10624040±1108a_{46}= -1.10624040 \pm 1 \cdot 10^{-8} a47=+0.04480637±1108a_{47}= +0.04480637 \pm 1 \cdot 10^{-8} a48=+0.75222738±1108a_{48}= +0.75222738 \pm 1 \cdot 10^{-8}
a49=0.75138396±1108a_{49}= -0.75138396 \pm 1 \cdot 10^{-8} a50=+0.77943173±1108a_{50}= +0.77943173 \pm 1 \cdot 10^{-8} a51=+1.70973214±1108a_{51}= +1.70973214 \pm 1 \cdot 10^{-8}
a52=0.43048175±1108a_{52}= -0.43048175 \pm 1 \cdot 10^{-8} a53=0.85818343±1108a_{53}= -0.85818343 \pm 1 \cdot 10^{-8} a54=+0.95951775±1108a_{54}= +0.95951775 \pm 1 \cdot 10^{-8}
a55=+0.00547943±1.1108a_{55}= +0.00547943 \pm 1.1 \cdot 10^{-8} a56=0.54119250±1108a_{56}= -0.54119250 \pm 1 \cdot 10^{-8} a57=+1.35313372±1108a_{57}= +1.35313372 \pm 1 \cdot 10^{-8}
a58=0.99993305±1108a_{58}= -0.99993305 \pm 1 \cdot 10^{-8} a59=0.94159054±1108a_{59}= -0.94159054 \pm 1 \cdot 10^{-8} a60=+0.01180124±1108a_{60}= +0.01180124 \pm 1 \cdot 10^{-8}

Displaying ana_n with nn up to: 60 180 1000