Properties

Label 5.25
Level 55
Weight 00
Character 5.1
Symmetry even
RR 10.24630
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: 10.2463013805270121750530441218±6101110.2463013805270121750530441218 \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=+0.01624402±1108a_{2}= +0.01624402 \pm 1 \cdot 10^{-8} a3=1.63907484±1108a_{3}= -1.63907484 \pm 1 \cdot 10^{-8}
a4=0.99973613±1108a_{4}= -0.99973613 \pm 1 \cdot 10^{-8} a5=0.44721360±1.0108a_{5}= -0.44721360 \pm 1.0 \cdot 10^{-8} a6=0.02662517±1108a_{6}= -0.02662517 \pm 1 \cdot 10^{-8}
a7=1.32493634±1108a_{7}= -1.32493634 \pm 1 \cdot 10^{-8} a8=0.03248376±1108a_{8}= -0.03248376 \pm 1 \cdot 10^{-8} a9=+1.68656634±1108a_{9}= +1.68656634 \pm 1 \cdot 10^{-8}
a10=0.00726455±1.0108a_{10}= -0.00726455 \pm 1.0 \cdot 10^{-8} a11=0.09961259±1108a_{11}= -0.09961259 \pm 1 \cdot 10^{-8} a12=+1.63864234±1108a_{12}= +1.63864234 \pm 1 \cdot 10^{-8}
a13=+0.19482900±1108a_{13}= +0.19482900 \pm 1 \cdot 10^{-8} a14=0.02152230±1108a_{14}= -0.02152230 \pm 1 \cdot 10^{-8} a15=+0.73301655±1.0108a_{15}= +0.73301655 \pm 1.0 \cdot 10^{-8}
a16=+0.99920846±1108a_{16}= +0.99920846 \pm 1 \cdot 10^{-8} a17=0.70098840±1108a_{17}= -0.70098840 \pm 1 \cdot 10^{-8} a18=+0.02739662±1108a_{18}= +0.02739662 \pm 1 \cdot 10^{-8}
a19=1.22846819±1108a_{19}= -1.22846819 \pm 1 \cdot 10^{-8} a20=+0.44709559±1.0108a_{20}= +0.44709559 \pm 1.0 \cdot 10^{-8} a21=+2.17166983±1108a_{21}= +2.17166983 \pm 1 \cdot 10^{-8}
a22=0.00161811±1108a_{22}= -0.00161811 \pm 1 \cdot 10^{-8} a23=1.41718153±1108a_{23}= -1.41718153 \pm 1 \cdot 10^{-8} a24=+0.05324332±1108a_{24}= +0.05324332 \pm 1 \cdot 10^{-8}
a25=+0.2a_{25}= +0.2 a26=+0.00316481±1108a_{26}= +0.00316481 \pm 1 \cdot 10^{-8} a27=1.12533362±1108a_{27}= -1.12533362 \pm 1 \cdot 10^{-8}
a28=+1.32458673±1108a_{28}= +1.32458673 \pm 1 \cdot 10^{-8} a29=0.39668619±1108a_{29}= -0.39668619 \pm 1 \cdot 10^{-8} a30=+0.01190714±1.0108a_{30}= +0.01190714 \pm 1.0 \cdot 10^{-8}
a31=+0.44121375±1108a_{31}= +0.44121375 \pm 1 \cdot 10^{-8} a32=+0.04871493±1108a_{32}= +0.04871493 \pm 1 \cdot 10^{-8} a33=+0.16327248±1108a_{33}= +0.16327248 \pm 1 \cdot 10^{-8}
a34=0.01138687±1108a_{34}= -0.01138687 \pm 1 \cdot 10^{-8} a35=+0.59252955±1.0108a_{35}= +0.59252955 \pm 1.0 \cdot 10^{-8} a36=1.68612131±1108a_{36}= -1.68612131 \pm 1 \cdot 10^{-8}
a37=0.04512503±1108a_{37}= -0.04512503 \pm 1 \cdot 10^{-8} a38=0.01995527±1108a_{38}= -0.01995527 \pm 1 \cdot 10^{-8} a39=0.31933932±1108a_{39}= -0.31933932 \pm 1 \cdot 10^{-8}
a40=+0.01452718±1.0108a_{40}= +0.01452718 \pm 1.0 \cdot 10^{-8} a41=+1.44099787±1108a_{41}= +1.44099787 \pm 1 \cdot 10^{-8} a42=+0.03527666±1108a_{42}= +0.03527666 \pm 1 \cdot 10^{-8}
a43=+0.53679678±1108a_{43}= +0.53679678 \pm 1 \cdot 10^{-8} a44=+0.09958630±1108a_{44}= +0.09958630 \pm 1 \cdot 10^{-8} a45=0.75425540±1.0108a_{45}= -0.75425540 \pm 1.0 \cdot 10^{-8}
a46=0.02302073±1108a_{46}= -0.02302073 \pm 1 \cdot 10^{-8} a47=0.02569594±1108a_{47}= -0.02569594 \pm 1 \cdot 10^{-8} a48=1.63777746±1108a_{48}= -1.63777746 \pm 1 \cdot 10^{-8}
a49=+0.75545631±1108a_{49}= +0.75545631 \pm 1 \cdot 10^{-8} a50=+0.00324880±1.0108a_{50}= +0.00324880 \pm 1.0 \cdot 10^{-8} a51=+1.14897244±1108a_{51}= +1.14897244 \pm 1 \cdot 10^{-8}
a52=0.19477759±1108a_{52}= -0.19477759 \pm 1 \cdot 10^{-8} a53=1.22055137±1108a_{53}= -1.22055137 \pm 1 \cdot 10^{-8} a54=0.01827995±1108a_{54}= -0.01827995 \pm 1 \cdot 10^{-8}
a55=+0.04454810±1.0108a_{55}= +0.04454810 \pm 1.0 \cdot 10^{-8} a56=+0.04303892±1108a_{56}= +0.04303892 \pm 1 \cdot 10^{-8} a57=+2.01355130±1108a_{57}= +2.01355130 \pm 1 \cdot 10^{-8}
a58=0.00644378±1108a_{58}= -0.00644378 \pm 1 \cdot 10^{-8} a59=0.53721441±1108a_{59}= -0.53721441 \pm 1 \cdot 10^{-8} a60=0.73282313±1.0108a_{60}= -0.73282313 \pm 1.0 \cdot 10^{-8}

Displaying ana_n with nn up to: 60 180 1000