Properties

Label 11.18
Level 1111
Weight 00
Character 11.1
Symmetry odd
RR 5.663265
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: 5.66326548840428820607758576913±510125.66326548840428820607758576913 \pm 5 \cdot 10^{-12}

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=0.08234733±1108a_{2}= -0.08234733 \pm 1 \cdot 10^{-8} a3=1.08679552±1108a_{3}= -1.08679552 \pm 1 \cdot 10^{-8}
a4=0.99321892±1108a_{4}= -0.99321892 \pm 1 \cdot 10^{-8} a5=+1.49733502±1108a_{5}= +1.49733502 \pm 1 \cdot 10^{-8} a6=+0.08949471±1108a_{6}= +0.08949471 \pm 1 \cdot 10^{-8}
a7=+0.74641102±1108a_{7}= +0.74641102 \pm 1 \cdot 10^{-8} a8=+0.16413626±1108a_{8}= +0.16413626 \pm 1 \cdot 10^{-8} a9=+0.18112451±1108a_{9}= +0.18112451 \pm 1 \cdot 10^{-8}
a10=0.12330154±1108a_{10}= -0.12330154 \pm 1 \cdot 10^{-8} a11=+0.30151134±1.0108a_{11}= +0.30151134 \pm 1.0 \cdot 10^{-8} a12=+1.07942587±1108a_{12}= +1.07942587 \pm 1 \cdot 10^{-8}
a13=+0.69282341±1108a_{13}= +0.69282341 \pm 1 \cdot 10^{-8} a14=0.06146496±1108a_{14}= -0.06146496 \pm 1 \cdot 10^{-8} a15=1.62729700±1108a_{15}= -1.62729700 \pm 1 \cdot 10^{-8}
a16=+0.97970273±1108a_{16}= +0.97970273 \pm 1 \cdot 10^{-8} a17=0.24372822±1108a_{17}= -0.24372822 \pm 1 \cdot 10^{-8} a18=0.01491512±1108a_{18}= -0.01491512 \pm 1 \cdot 10^{-8}
a19=+1.12472606±1108a_{19}= +1.12472606 \pm 1 \cdot 10^{-8} a20=1.48718147±1108a_{20}= -1.48718147 \pm 1 \cdot 10^{-8} a21=0.81119615±1108a_{21}= -0.81119615 \pm 1 \cdot 10^{-8}
a22=0.02482865±1.3108a_{22}= -0.02482865 \pm 1.3 \cdot 10^{-8} a23=+1.52957076±1108a_{23}= +1.52957076 \pm 1 \cdot 10^{-8} a24=0.17838255±1108a_{24}= -0.17838255 \pm 1 \cdot 10^{-8}
a25=+1.24201217±1108a_{25}= +1.24201217 \pm 1 \cdot 10^{-8} a26=0.05705216±1108a_{26}= -0.05705216 \pm 1 \cdot 10^{-8} a27=+0.88995022±1108a_{27}= +0.88995022 \pm 1 \cdot 10^{-8}
a28=0.74134954±1108a_{28}= -0.74134954 \pm 1 \cdot 10^{-8} a29=1.88947615±1108a_{29}= -1.88947615 \pm 1 \cdot 10^{-8} a30=+0.13400357±1108a_{30}= +0.13400357 \pm 1 \cdot 10^{-8}
a31=0.08079573±1108a_{31}= -0.08079573 \pm 1 \cdot 10^{-8} a32=0.24481216±1108a_{32}= -0.24481216 \pm 1 \cdot 10^{-8} a33=0.32768118±1.3108a_{33}= -0.32768118 \pm 1.3 \cdot 10^{-8}
a34=+0.02007037±1108a_{34}= +0.02007037 \pm 1 \cdot 10^{-8} a35=+1.11762736±1108a_{35}= +1.11762736 \pm 1 \cdot 10^{-8} a36=0.17989629±1108a_{36}= -0.17989629 \pm 1 \cdot 10^{-8}
a37=+0.46326240±1108a_{37}= +0.46326240 \pm 1 \cdot 10^{-8} a38=0.09261819±1108a_{38}= -0.09261819 \pm 1 \cdot 10^{-8} a39=0.75295738±1108a_{39}= -0.75295738 \pm 1 \cdot 10^{-8}
a40=+0.24576697±1108a_{40}= +0.24576697 \pm 1 \cdot 10^{-8} a41=+0.86995430±1108a_{41}= +0.86995430 \pm 1 \cdot 10^{-8} a42=+0.06679984±1108a_{42}= +0.06679984 \pm 1 \cdot 10^{-8}
a43=+0.08117713±1108a_{43}= +0.08117713 \pm 1 \cdot 10^{-8} a44=0.29946677±1.4108a_{44}= -0.29946677 \pm 1.4 \cdot 10^{-8} a45=+0.27120407±1108a_{45}= +0.27120407 \pm 1 \cdot 10^{-8}
a46=0.12595607±1108a_{46}= -0.12595607 \pm 1 \cdot 10^{-8} a47=+1.02899101±1108a_{47}= +1.02899101 \pm 1 \cdot 10^{-8} a48=1.06473655±1108a_{48}= -1.06473655 \pm 1 \cdot 10^{-8}
a49=0.44287059±1108a_{49}= -0.44287059 \pm 1 \cdot 10^{-8} a50=0.10227639±1108a_{50}= -0.10227639 \pm 1 \cdot 10^{-8} a51=+0.26488273±1108a_{51}= +0.26488273 \pm 1 \cdot 10^{-8}
a52=0.68812532±1108a_{52}= -0.68812532 \pm 1 \cdot 10^{-8} a53=0.84889823±1108a_{53}= -0.84889823 \pm 1 \cdot 10^{-8} a54=0.07328503±1108a_{54}= -0.07328503 \pm 1 \cdot 10^{-8}
a55=+0.45146350±1.3108a_{55}= +0.45146350 \pm 1.3 \cdot 10^{-8} a56=+0.12251311±1108a_{56}= +0.12251311 \pm 1 \cdot 10^{-8} a57=1.22234725±1108a_{57}= -1.22234725 \pm 1 \cdot 10^{-8}
a58=+0.15559332±1108a_{58}= +0.15559332 \pm 1 \cdot 10^{-8} a59=+0.87909090±1108a_{59}= +0.87909090 \pm 1 \cdot 10^{-8} a60=+1.61626216±1108a_{60}= +1.61626216 \pm 1 \cdot 10^{-8}

Displaying ana_n with nn up to: 60 180 1000