Properties

Label 11.105
Level 1111
Weight 00
Character 11.1
Symmetry even
RR 12.03811
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: 12.0381132141352239525395110625±9101012.0381132141352239525395110625 \pm 9 \cdot 10^{-10}

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=1.59997244±5.6108a_{2}= -1.59997244 \pm 5.6 \cdot 10^{-8} a3=+1.10777899±5.9108a_{3}= +1.10777899 \pm 5.9 \cdot 10^{-8}
a4=+1.55991181±4.1108a_{4}= +1.55991181 \pm 4.1 \cdot 10^{-8} a5=1.60982448±4.4108a_{5}= -1.60982448 \pm 4.4 \cdot 10^{-8} a6=1.77241585±6.3108a_{6}= -1.77241585 \pm 6.3 \cdot 10^{-8}
a7=1.40334508±3.4108a_{7}= -1.40334508 \pm 3.4 \cdot 10^{-8} a8=0.89584347±5.6108a_{8}= -0.89584347 \pm 5.6 \cdot 10^{-8} a9=+0.22717428±5.9108a_{9}= +0.22717428 \pm 5.9 \cdot 10^{-8}
a10=+2.57567481±5.0108a_{10}= +2.57567481 \pm 5.0 \cdot 10^{-8} a11=0.30151134±1.0108a_{11}= -0.30151134 \pm 1.0 \cdot 10^{-8} a12=+1.72803752±3.9108a_{12}= +1.72803752 \pm 3.9 \cdot 10^{-8}
a13=1.25099817±4.9108a_{13}= -1.25099817 \pm 4.9 \cdot 10^{-8} a14=+2.24531346±3.9108a_{14}= +2.24531346 \pm 3.9 \cdot 10^{-8} a15=1.78332973±4.8108a_{15}= -1.78332973 \pm 4.8 \cdot 10^{-8}
a16=0.12658695±5.8108a_{16}= -0.12658695 \pm 5.8 \cdot 10^{-8} a17=+0.30046479±4.3108a_{17}= +0.30046479 \pm 4.3 \cdot 10^{-8} a18=0.36347259±6.1108a_{18}= -0.36347259 \pm 6.1 \cdot 10^{-8}
a19=0.15933351±4.6108a_{19}= -0.15933351 \pm 4.6 \cdot 10^{-8} a20=2.51118423±5.4108a_{20}= -2.51118423 \pm 5.4 \cdot 10^{-8} a21=1.55459619±4.7108a_{21}= -1.55459619 \pm 4.7 \cdot 10^{-8}
a22=+0.48240984±6.6108a_{22}= +0.48240984 \pm 6.6 \cdot 10^{-8} a23=0.95239662±4.4108a_{23}= -0.95239662 \pm 4.4 \cdot 10^{-8} a24=0.99239657±5.9108a_{24}= -0.99239657 \pm 5.9 \cdot 10^{-8}
a25=+1.59153487±3.9108a_{25}= +1.59153487 \pm 3.9 \cdot 10^{-8} a26=+2.00156260±5.4108a_{26}= +2.00156260 \pm 5.4 \cdot 10^{-8} a27=0.85612009±3.8108a_{27}= -0.85612009 \pm 3.8 \cdot 10^{-8}
a28=2.18909457±2.7108a_{28}= -2.18909457 \pm 2.7 \cdot 10^{-8} a29=1.66981115±5.3108a_{29}= -1.66981115 \pm 5.3 \cdot 10^{-8} a30=+2.85327843±5.1108a_{30}= +2.85327843 \pm 5.1 \cdot 10^{-8}
a31=+0.69839334±4.1108a_{31}= +0.69839334 \pm 4.1 \cdot 10^{-8} a32=+1.09837910±3.7108a_{32}= +1.09837910 \pm 3.7 \cdot 10^{-8} a33=0.33400793±6.9108a_{33}= -0.33400793 \pm 6.9 \cdot 10^{-8}
a34=0.48073538±4.1108a_{34}= -0.48073538 \pm 4.1 \cdot 10^{-8} a35=+2.25913927±2.9108a_{35}= +2.25913927 \pm 2.9 \cdot 10^{-8} a36=+0.35437184±2.8108a_{36}= +0.35437184 \pm 2.8 \cdot 10^{-8}
a37=0.41081440±4.3108a_{37}= -0.41081440 \pm 4.3 \cdot 10^{-8} a38=+0.25492923±4.5108a_{38}= +0.25492923 \pm 4.5 \cdot 10^{-8} a39=1.38582949±4.3108a_{39}= -1.38582949 \pm 4.3 \cdot 10^{-8}
a40=+1.44215075±5.8108a_{40}= +1.44215075 \pm 5.8 \cdot 10^{-8} a41=+0.44541762±5.1108a_{41}= +0.44541762 \pm 5.1 \cdot 10^{-8} a42=+2.48731106±5.3108a_{42}= +2.48731106 \pm 5.3 \cdot 10^{-8}
a43=0.83075544±4.2108a_{43}= -0.83075544 \pm 4.2 \cdot 10^{-8} a44=0.47033111±5.2108a_{44}= -0.47033111 \pm 5.2 \cdot 10^{-8} a45=0.36571072±4.4108a_{45}= -0.36571072 \pm 4.4 \cdot 10^{-8}
a46=+1.52380834±5.0108a_{46}= +1.52380834 \pm 5.0 \cdot 10^{-8} a47=0.02187978±5.3108a_{47}= -0.02187978 \pm 5.3 \cdot 10^{-8} a48=0.14023036±6.6108a_{48}= -0.14023036 \pm 6.6 \cdot 10^{-8}
a49=+0.96937742±3.6108a_{49}= +0.96937742 \pm 3.6 \cdot 10^{-8} a50=2.54641193±4.3108a_{50}= -2.54641193 \pm 4.3 \cdot 10^{-8} a51=+0.33284858±4.9108a_{51}= +0.33284858 \pm 4.9 \cdot 10^{-8}
a52=1.95144683±2.4108a_{52}= -1.95144683 \pm 2.4 \cdot 10^{-8} a53=+0.89471091±5.4108a_{53}= +0.89471091 \pm 5.4 \cdot 10^{-8} a54=+1.36976855±4.5108a_{54}= +1.36976855 \pm 4.5 \cdot 10^{-8}
a55=+0.48538034±5.4108a_{55}= +0.48538034 \pm 5.4 \cdot 10^{-8} a56=+1.25717753±3.6108a_{56}= +1.25717753 \pm 3.6 \cdot 10^{-8} a57=0.17650631±6.0108a_{57}= -0.17650631 \pm 6.0 \cdot 10^{-8}
a58=+2.67165182±5.5108a_{58}= +2.67165182 \pm 5.5 \cdot 10^{-8} a59=+1.22808960±6.6108a_{59}= +1.22808960 \pm 6.6 \cdot 10^{-8} a60=2.78183712±5.0108a_{60}= -2.78183712 \pm 5.0 \cdot 10^{-8}

Displaying ana_n with nn up to: 60 180 1000