Properties

Label 5.53
Level 55
Weight 00
Character 5.1
Symmetry odd
RR 14.03425
Fricke sign 1-1

Related objects

Downloads

Learn more

Maass form invariants

Level: 5 5
Weight: 0 0
Character: 5.1
Symmetry: odd
Fricke sign: 1-1
Spectral parameter: 14.0342548178518598562834278234±210814.0342548178518598562834278234 \pm 2 \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=+1.53474823±4.7106a_{2}= +1.53474823 \pm 4.7 \cdot 10^{-6} a3=+1.80268776±5.1106a_{3}= +1.80268776 \pm 5.1 \cdot 10^{-6}
a4=+1.35545214±4.1106a_{4}= +1.35545214 \pm 4.1 \cdot 10^{-6} a5=+0.44721360±1.0108a_{5}= +0.44721360 \pm 1.0 \cdot 10^{-8} a6=+2.76667185±4.8106a_{6}= +2.76667185 \pm 4.8 \cdot 10^{-6}
a7=0.46705075±1.9106a_{7}= -0.46705075 \pm 1.9 \cdot 10^{-6} a8=+0.54552955±4.4106a_{8}= +0.54552955 \pm 4.4 \cdot 10^{-6} a9=+2.24968314±2.5106a_{9}= +2.24968314 \pm 2.5 \cdot 10^{-6}
a10=+0.68636028±4.7106a_{10}= +0.68636028 \pm 4.7 \cdot 10^{-6} a11=+0.73916855±2.6106a_{11}= +0.73916855 \pm 2.6 \cdot 10^{-6} a12=+2.44345698±4.3106a_{12}= +2.44345698 \pm 4.3 \cdot 10^{-6}
a13=0.71617956±3.3106a_{13}= -0.71617956 \pm 3.3 \cdot 10^{-6} a14=0.71680531±2.0106a_{14}= -0.71680531 \pm 2.0 \cdot 10^{-6} a15=+0.80618647±5.1106a_{15}= +0.80618647 \pm 5.1 \cdot 10^{-6}
a16=0.51820163±2.1106a_{16}= -0.51820163 \pm 2.1 \cdot 10^{-6} a17=1.27938300±5.2106a_{17}= -1.27938300 \pm 5.2 \cdot 10^{-6} a18=+3.45269723±2.2106a_{18}= +3.45269723 \pm 2.2 \cdot 10^{-6}
a19=0.49486548±4.9106a_{19}= -0.49486548 \pm 4.9 \cdot 10^{-6} a20=+0.60617663±4.1106a_{20}= +0.60617663 \pm 4.1 \cdot 10^{-6} a21=0.84194666±2.1106a_{21}= -0.84194666 \pm 2.1 \cdot 10^{-6}
a22=+1.13443763±2.8106a_{22}= +1.13443763 \pm 2.8 \cdot 10^{-6} a23=+1.28901318±2.0106a_{23}= +1.28901318 \pm 2.0 \cdot 10^{-6} a24=+0.98341944±4.6106a_{24}= +0.98341944 \pm 4.6 \cdot 10^{-6}
a25=+0.2a_{25}= +0.2 a26=1.09915532±4.0106a_{26}= -1.09915532 \pm 4.0 \cdot 10^{-6} a27=+2.25278850±3.9106a_{27}= +2.25278850 \pm 3.9 \cdot 10^{-6}
a28=0.63306493±1.6106a_{28}= -0.63306493 \pm 1.6 \cdot 10^{-6} a29=0.99104796±2.4106a_{29}= -0.99104796 \pm 2.4 \cdot 10^{-6} a30=+1.23729327±9.9106a_{30}= +1.23729327 \pm 9.9 \cdot 10^{-6}
a31=+0.90597356±5.1106a_{31}= +0.90597356 \pm 5.1 \cdot 10^{-6} a32=1.34083859±5.1106a_{32}= -1.34083859 \pm 5.1 \cdot 10^{-6} a33=+1.33249009±1.9106a_{33}= +1.33249009 \pm 1.9 \cdot 10^{-6}
a34=1.96353081±5.0106a_{34}= -1.96353081 \pm 5.0 \cdot 10^{-6} a35=0.20887144±1.9106a_{35}= -0.20887144 \pm 1.9 \cdot 10^{-6} a36=+3.04933784±1.1106a_{36}= +3.04933784 \pm 1.1 \cdot 10^{-6}
a37=+0.22283092±6.3106a_{37}= +0.22283092 \pm 6.3 \cdot 10^{-6} a38=0.75949393±3.4106a_{38}= -0.75949393 \pm 3.4 \cdot 10^{-6} a39=1.29104813±2.6106a_{39}= -1.29104813 \pm 2.6 \cdot 10^{-6}
a40=+0.24396823±4.4106a_{40}= +0.24396823 \pm 4.4 \cdot 10^{-6} a41=+0.05756213±5.4106a_{41}= +0.05756213 \pm 5.4 \cdot 10^{-6} a42=1.29217615±2.0106a_{42}= -1.29217615 \pm 2.0 \cdot 10^{-6}
a43=0.40814263±5.3106a_{43}= -0.40814263 \pm 5.3 \cdot 10^{-6} a44=+1.00190760±2.0106a_{44}= +1.00190760 \pm 2.0 \cdot 10^{-6} a45=+1.00608889±2.5106a_{45}= +1.00608889 \pm 2.5 \cdot 10^{-6}
a46=+1.97831071±2.4106a_{46}= +1.97831071 \pm 2.4 \cdot 10^{-6} a47=0.10966020±3.1106a_{47}= -0.10966020 \pm 3.1 \cdot 10^{-6} a48=0.93415574±2.1106a_{48}= -0.93415574 \pm 2.1 \cdot 10^{-6}
a49=0.78186360±4.3106a_{49}= -0.78186360 \pm 4.3 \cdot 10^{-6} a50=+0.30694965±4.7106a_{50}= +0.30694965 \pm 4.7 \cdot 10^{-6} a51=2.30632808±5.1106a_{51}= -2.30632808 \pm 5.1 \cdot 10^{-6}
a52=0.97074712±3.2106a_{52}= -0.97074712 \pm 3.2 \cdot 10^{-6} a53=+0.25023030±5.0106a_{53}= +0.25023030 \pm 5.0 \cdot 10^{-6} a54=+3.45746318±4.0106a_{54}= +3.45746318 \pm 4.0 \cdot 10^{-6}
a55=+0.33056623±2.6106a_{55}= +0.33056623 \pm 2.6 \cdot 10^{-6} a56=0.25478998±1.7106a_{56}= -0.25478998 \pm 1.7 \cdot 10^{-6} a57=0.89208795±5.6106a_{57}= -0.89208795 \pm 5.6 \cdot 10^{-6}
a58=1.52100911±1.8106a_{58}= -1.52100911 \pm 1.8 \cdot 10^{-6} a59=+0.99922716±4.0106a_{59}= +0.99922716 \pm 4.0 \cdot 10^{-6} a60=+1.09274718±9.3106a_{60}= +1.09274718 \pm 9.3 \cdot 10^{-6}

Displaying ana_n with nn up to: 60 180 1000