Properties

Label 5.28
Level 55
Weight 00
Character 5.1
Symmetry even
RR 10.63115
Fricke sign 1-1

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Maass form invariants

Level: 5 5
Weight: 0 0
Character: 5.1
Symmetry: even
Fricke sign: 1-1
Spectral parameter: 10.631153086564503430411822531±10101110.631153086564503430411822531 \pm 10 \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=0.81166960±1108a_{2}= -0.81166960 \pm 1 \cdot 10^{-8} a3=+0.00486297±1108a_{3}= +0.00486297 \pm 1 \cdot 10^{-8}
a4=0.34119246±1108a_{4}= -0.34119246 \pm 1 \cdot 10^{-8} a5=+0.44721360±1.0108a_{5}= +0.44721360 \pm 1.0 \cdot 10^{-8} a6=0.00394712±1108a_{6}= -0.00394712 \pm 1 \cdot 10^{-8}
a7=+1.42360112±1108a_{7}= +1.42360112 \pm 1 \cdot 10^{-8} a8=+1.08860515±1108a_{8}= +1.08860515 \pm 1 \cdot 10^{-8} a9=0.99997635±1108a_{9}= -0.99997635 \pm 1 \cdot 10^{-8}
a10=0.36298968±1.0108a_{10}= -0.36298968 \pm 1.0 \cdot 10^{-8} a11=0.57357140±1108a_{11}= -0.57357140 \pm 1 \cdot 10^{-8} a12=0.00165921±1108a_{12}= -0.00165921 \pm 1 \cdot 10^{-8}
a13=0.81441857±1108a_{13}= -0.81441857 \pm 1 \cdot 10^{-8} a14=1.15549376±1108a_{14}= -1.15549376 \pm 1 \cdot 10^{-8} a15=+0.00217479±1.0108a_{15}= +0.00217479 \pm 1.0 \cdot 10^{-8}
a16=0.54239525±1108a_{16}= -0.54239525 \pm 1 \cdot 10^{-8} a17=0.31097435±1108a_{17}= -0.31097435 \pm 1 \cdot 10^{-8} a18=+0.81165041±1108a_{18}= +0.81165041 \pm 1 \cdot 10^{-8}
a19=0.57750416±1108a_{19}= -0.57750416 \pm 1 \cdot 10^{-8} a20=0.15258591±1.0108a_{20}= -0.15258591 \pm 1.0 \cdot 10^{-8} a21=+0.00692293±1108a_{21}= +0.00692293 \pm 1 \cdot 10^{-8}
a22=+0.46555047±1108a_{22}= +0.46555047 \pm 1 \cdot 10^{-8} a23=1.24308126±1108a_{23}= -1.24308126 \pm 1 \cdot 10^{-8} a24=+0.00529385±1108a_{24}= +0.00529385 \pm 1 \cdot 10^{-8}
a25=+0.2a_{25}= +0.2 a26=+0.66103879±1108a_{26}= +0.66103879 \pm 1 \cdot 10^{-8} a27=0.00972582±1108a_{27}= -0.00972582 \pm 1 \cdot 10^{-8}
a28=0.48572197±1108a_{28}= -0.48572197 \pm 1 \cdot 10^{-8} a29=+1.45670957±1108a_{29}= +1.45670957 \pm 1 \cdot 10^{-8} a30=0.00176521±1.0108a_{30}= -0.00176521 \pm 1.0 \cdot 10^{-8}
a31=1.60184005±1108a_{31}= -1.60184005 \pm 1 \cdot 10^{-8} a32=0.64835941±1108a_{32}= -0.64835941 \pm 1 \cdot 10^{-8} a33=0.00278926±1108a_{33}= -0.00278926 \pm 1 \cdot 10^{-8}
a34=+0.25240842±1108a_{34}= +0.25240842 \pm 1 \cdot 10^{-8} a35=+0.63665378±1.0108a_{35}= +0.63665378 \pm 1.0 \cdot 10^{-8} a36=+0.34118439±1108a_{36}= +0.34118439 \pm 1 \cdot 10^{-8}
a37=+0.10194376±1108a_{37}= +0.10194376 \pm 1 \cdot 10^{-8} a38=+0.46874257±1108a_{38}= +0.46874257 \pm 1 \cdot 10^{-8} a39=0.00396049±1108a_{39}= -0.00396049 \pm 1 \cdot 10^{-8}
a40=+0.48683902±1.0108a_{40}= +0.48683902 \pm 1.0 \cdot 10^{-8} a41=1.46544734±1108a_{41}= -1.46544734 \pm 1 \cdot 10^{-8} a42=0.00561913±1108a_{42}= -0.00561913 \pm 1 \cdot 10^{-8}
a43=0.62106549±1108a_{43}= -0.62106549 \pm 1 \cdot 10^{-8} a44=+0.19569823±1108a_{44}= +0.19569823 \pm 1 \cdot 10^{-8} a45=0.44720302±1.0108a_{45}= -0.44720302 \pm 1.0 \cdot 10^{-8}
a46=+1.00897127±1108a_{46}= +1.00897127 \pm 1 \cdot 10^{-8} a47=0.19074173±1108a_{47}= -0.19074173 \pm 1 \cdot 10^{-8} a48=0.00263765±1108a_{48}= -0.00263765 \pm 1 \cdot 10^{-8}
a49=+1.02664016±1108a_{49}= +1.02664016 \pm 1 \cdot 10^{-8} a50=0.16233392±1.0108a_{50}= -0.16233392 \pm 1.0 \cdot 10^{-8} a51=0.00151226±1108a_{51}= -0.00151226 \pm 1 \cdot 10^{-8}
a52=+0.27787347±1108a_{52}= +0.27787347 \pm 1 \cdot 10^{-8} a53=1.17316185±1108a_{53}= -1.17316185 \pm 1 \cdot 10^{-8} a54=+0.00789416±1108a_{54}= +0.00789416 \pm 1 \cdot 10^{-8}
a55=0.25650893±1.0108a_{55}= -0.25650893 \pm 1.0 \cdot 10^{-8} a56=+1.54973951±1108a_{56}= +1.54973951 \pm 1 \cdot 10^{-8} a57=0.00280838±1108a_{57}= -0.00280838 \pm 1 \cdot 10^{-8}
a58=1.18236688±1108a_{58}= -1.18236688 \pm 1 \cdot 10^{-8} a59=1.15427601±1108a_{59}= -1.15427601 \pm 1 \cdot 10^{-8} a60=0.00074202±1.0108a_{60}= -0.00074202 \pm 1.0 \cdot 10^{-8}

Displaying ana_n with nn up to: 60 180 1000