Properties

Label 11.152
Level 1111
Weight 00
Character 11.1
Symmetry even
RR 14.42998
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: 14.4299835020959630049341856446±610814.4299835020959630049341856446 \pm 6 \cdot 10^{-8}

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=+0.67699455±6.9107a_{2}= +0.67699455 \pm 6.9 \cdot 10^{-7} a3=1.19532106±7.3107a_{3}= -1.19532106 \pm 7.3 \cdot 10^{-7}
a4=0.54167837±5.1107a_{4}= -0.54167837 \pm 5.1 \cdot 10^{-7} a5=+1.40703518±5.4107a_{5}= +1.40703518 \pm 5.4 \cdot 10^{-7} a6=0.80922585±7.8107a_{6}= -0.80922585 \pm 7.8 \cdot 10^{-7}
a7=+0.23829628±4.2107a_{7}= +0.23829628 \pm 4.2 \cdot 10^{-7} a8=1.04370786±6.9107a_{8}= -1.04370786 \pm 6.9 \cdot 10^{-7} a9=+0.42879244±7.4107a_{9}= +0.42879244 \pm 7.4 \cdot 10^{-7}
a10=+0.95255515±6.3107a_{10}= +0.95255515 \pm 6.3 \cdot 10^{-7} a11=0.30151134±1.0108a_{11}= -0.30151134 \pm 1.0 \cdot 10^{-8} a12=+0.64747957±4.8107a_{12}= +0.64747957 \pm 4.8 \cdot 10^{-7}
a13=+0.48285625±6.1107a_{13}= +0.48285625 \pm 6.1 \cdot 10^{-7} a14=+0.16132528±4.9107a_{14}= +0.16132528 \pm 4.9 \cdot 10^{-7} a15=1.68185878±6.0107a_{15}= -1.68185878 \pm 6.0 \cdot 10^{-7}
a16=0.16490617±7.2107a_{16}= -0.16490617 \pm 7.2 \cdot 10^{-7} a17=1.14464083±5.4107a_{17}= -1.14464083 \pm 5.4 \cdot 10^{-7} a18=+0.29029015±7.6107a_{18}= +0.29029015 \pm 7.6 \cdot 10^{-7}
a19=1.14023863±5.7107a_{19}= -1.14023863 \pm 5.7 \cdot 10^{-7} a20=0.76216053±6.7107a_{20}= -0.76216053 \pm 6.7 \cdot 10^{-7} a21=0.28484056±5.9107a_{21}= -0.28484056 \pm 5.9 \cdot 10^{-7}
a22=0.20412154±7.0107a_{22}= -0.20412154 \pm 7.0 \cdot 10^{-7} a23=+0.53931985±5.5107a_{23}= +0.53931985 \pm 5.5 \cdot 10^{-7} a24=+1.24756599±7.3107a_{24}= +1.24756599 \pm 7.3 \cdot 10^{-7}
a25=+0.97974799±4.8107a_{25}= +0.97974799 \pm 4.8 \cdot 10^{-7} a26=+0.32689105±6.7107a_{26}= +0.32689105 \pm 6.7 \cdot 10^{-7} a27=+0.68277643±4.7107a_{27}= +0.68277643 \pm 4.7 \cdot 10^{-7}
a28=0.12907994±3.4107a_{28}= -0.12907994 \pm 3.4 \cdot 10^{-7} a29=0.75389948±6.6107a_{29}= -0.75389948 \pm 6.6 \cdot 10^{-7} a30=1.13860924±6.4107a_{30}= -1.13860924 \pm 6.4 \cdot 10^{-7}
a31=0.28691113±5.1107a_{31}= -0.28691113 \pm 5.1 \cdot 10^{-7} a32=+0.93206729±4.6107a_{32}= +0.93206729 \pm 4.6 \cdot 10^{-7} a33=+0.36040286±7.4107a_{33}= +0.36040286 \pm 7.4 \cdot 10^{-7}
a34=0.77491561±5.2107a_{34}= -0.77491561 \pm 5.2 \cdot 10^{-7} a35=+0.33529125±3.6107a_{35}= +0.33529125 \pm 3.6 \cdot 10^{-7} a36=0.23226759±3.5107a_{36}= -0.23226759 \pm 3.5 \cdot 10^{-7}
a37=+1.16075973±5.4107a_{37}= +1.16075973 \pm 5.4 \cdot 10^{-7} a38=0.77193535±5.6107a_{38}= -0.77193535 \pm 5.6 \cdot 10^{-7} a39=0.57716825±5.4107a_{39}= -0.57716825 \pm 5.4 \cdot 10^{-7}
a40=1.46853368±7.2107a_{40}= -1.46853368 \pm 7.2 \cdot 10^{-7} a41=+0.76632156±6.3107a_{41}= +0.76632156 \pm 6.3 \cdot 10^{-7} a42=0.19283551±6.6107a_{42}= -0.19283551 \pm 6.6 \cdot 10^{-7}
a43=+1.81313126±5.3107a_{43}= +1.81313126 \pm 5.3 \cdot 10^{-7} a44=+0.16332217±5.2107a_{44}= +0.16332217 \pm 5.2 \cdot 10^{-7} a45=+0.60332605±5.5107a_{45}= +0.60332605 \pm 5.5 \cdot 10^{-7}
a46=+0.36511660±6.2107a_{46}= +0.36511660 \pm 6.2 \cdot 10^{-7} a47=+1.00597444±6.5107a_{47}= +1.00597444 \pm 6.5 \cdot 10^{-7} a48=+0.19711581±8.3107a_{48}= +0.19711581 \pm 8.3 \cdot 10^{-7}
a49=0.94321488±4.4107a_{49}= -0.94321488 \pm 4.4 \cdot 10^{-7} a50=+0.66328406±5.4107a_{50}= +0.66328406 \pm 5.4 \cdot 10^{-7} a51=+1.36821330±6.1107a_{51}= +1.36821330 \pm 6.1 \cdot 10^{-7}
a52=0.26155279±3.0107a_{52}= -0.26155279 \pm 3.0 \cdot 10^{-7} a53=+1.42510208±6.7107a_{53}= +1.42510208 \pm 6.7 \cdot 10^{-7} a54=+0.46223592±5.6107a_{54}= +0.46223592 \pm 5.6 \cdot 10^{-7}
a55=0.42423707±5.5107a_{55}= -0.42423707 \pm 5.5 \cdot 10^{-7} a56=0.24871170±4.5107a_{56}= -0.24871170 \pm 4.5 \cdot 10^{-7} a57=+1.36295125±7.4107a_{57}= +1.36295125 \pm 7.4 \cdot 10^{-7}
a58=0.51038584±6.9107a_{58}= -0.51038584 \pm 6.9 \cdot 10^{-7} a59=+0.52172759±8.3107a_{59}= +0.52172759 \pm 8.3 \cdot 10^{-7} a60=+0.91102653±6.2107a_{60}= +0.91102653 \pm 6.2 \cdot 10^{-7}

Displaying ana_n with nn up to: 60 180 1000