Properties

Label 1.21
Level 11
Weight 00
Character 1.1
Symmetry even
RR 25.82624
Fricke sign +1+1

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Maass form invariants

Level: 1 1
Weight: 0 0
Character: 1.1
Symmetry: even
Fricke sign: +1+1
Spectral parameter: 25.82624371270915837390410321428202±71092 25.82624371270915837390410321428202\ldots \pm 7 \cdot 10^{-92} (toggle for full precision) Copy content Toggle raw display

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=+0.25806619±1108a_{2}= +0.25806619 \pm 1 \cdot 10^{-8} a3=+1.33374147±1108a_{3}= +1.33374147 \pm 1 \cdot 10^{-8}
a4=0.93340184±1108a_{4}= -0.93340184 \pm 1 \cdot 10^{-8} a5=+1.27636110±1108a_{5}= +1.27636110 \pm 1 \cdot 10^{-8} a6=+0.34419358±1108a_{6}= +0.34419358 \pm 1 \cdot 10^{-8}
a7=+0.74356362±1108a_{7}= +0.74356362 \pm 1 \cdot 10^{-8} a8=0.49894565±1108a_{8}= -0.49894565 \pm 1 \cdot 10^{-8} a9=+0.77886632±1108a_{9}= +0.77886632 \pm 1 \cdot 10^{-8}
a10=+0.32938564±1108a_{10}= +0.32938564 \pm 1 \cdot 10^{-8} a11=0.41901934±1108a_{11}= -0.41901934 \pm 1 \cdot 10^{-8} a12=1.24491675±1108a_{12}= -1.24491675 \pm 1 \cdot 10^{-8}
a13=+0.84232463±1108a_{13}= +0.84232463 \pm 1 \cdot 10^{-8} a14=+0.19188863±1108a_{14}= +0.19188863 \pm 1 \cdot 10^{-8} a15=+1.70233573±1108a_{15}= +1.70233573 \pm 1 \cdot 10^{-8}
a16=+0.80464084±1108a_{16}= +0.80464084 \pm 1 \cdot 10^{-8} a17=+0.71105546±1108a_{17}= +0.71105546 \pm 1 \cdot 10^{-8} a18=+0.20099906±1108a_{18}= +0.20099906 \pm 1 \cdot 10^{-8}
a19=+1.21212165±1108a_{19}= +1.21212165 \pm 1 \cdot 10^{-8} a20=1.19135780±1108a_{20}= -1.19135780 \pm 1 \cdot 10^{-8} a21=+0.99172164±1108a_{21}= +0.99172164 \pm 1 \cdot 10^{-8}
a22=0.10813473±1108a_{22}= -0.10813473 \pm 1 \cdot 10^{-8} a23=+0.11544427±1108a_{23}= +0.11544427 \pm 1 \cdot 10^{-8} a24=0.66546450±1108a_{24}= -0.66546450 \pm 1 \cdot 10^{-8}
a25=+0.62909765±1108a_{25}= +0.62909765 \pm 1 \cdot 10^{-8} a26=+0.21737551±1108a_{26}= +0.21737551 \pm 1 \cdot 10^{-8} a27=0.29493517±1108a_{27}= -0.29493517 \pm 1 \cdot 10^{-8}
a28=0.69404365±1108a_{28}= -0.69404365 \pm 1 \cdot 10^{-8} a29=+0.82572943±1108a_{29}= +0.82572943 \pm 1 \cdot 10^{-8} a30=+0.43931529±1108a_{30}= +0.43931529 \pm 1 \cdot 10^{-8}
a31=1.11688219±1108a_{31}= -1.11688219 \pm 1 \cdot 10^{-8} a32=+0.70659624±1108a_{32}= +0.70659624 \pm 1 \cdot 10^{-8} a33=0.55886348±1108a_{33}= -0.55886348 \pm 1 \cdot 10^{-8}
a34=+0.18349937±1108a_{34}= +0.18349937 \pm 1 \cdot 10^{-8} a35=+0.94905568±1108a_{35}= +0.94905568 \pm 1 \cdot 10^{-8} a36=0.72699525±1108a_{36}= -0.72699525 \pm 1 \cdot 10^{-8}
a37=0.74236320±1108a_{37}= -0.74236320 \pm 1 \cdot 10^{-8} a38=+0.31280761±1108a_{38}= +0.31280761 \pm 1 \cdot 10^{-8} a39=+1.12344330±1108a_{39}= +1.12344330 \pm 1 \cdot 10^{-8}
a40=0.63683481±1108a_{40}= -0.63683481 \pm 1 \cdot 10^{-8} a41=0.22932613±1108a_{41}= -0.22932613 \pm 1 \cdot 10^{-8} a42=+0.25592982±1108a_{42}= +0.25592982 \pm 1 \cdot 10^{-8}
a43=0.79219314±1108a_{43}= -0.79219314 \pm 1 \cdot 10^{-8} a44=+0.39111343±1108a_{44}= +0.39111343 \pm 1 \cdot 10^{-8} a45=+0.99411466±1108a_{45}= +0.99411466 \pm 1 \cdot 10^{-8}
a46=+0.02979226±1108a_{46}= +0.02979226 \pm 1 \cdot 10^{-8} a47=1.72925190±1108a_{47}= -1.72925190 \pm 1 \cdot 10^{-8} a48=+1.07318286±1108a_{48}= +1.07318286 \pm 1 \cdot 10^{-8}
a49=0.44711314±1108a_{49}= -0.44711314 \pm 1 \cdot 10^{-8} a50=+0.16234883±1108a_{50}= +0.16234883 \pm 1 \cdot 10^{-8} a51=+0.94836416±1108a_{51}= +0.94836416 \pm 1 \cdot 10^{-8}
a52=0.78622736±1108a_{52}= -0.78622736 \pm 1 \cdot 10^{-8} a53=+0.10836733±1108a_{53}= +0.10836733 \pm 1 \cdot 10^{-8} a54=0.07611279±1108a_{54}= -0.07611279 \pm 1 \cdot 10^{-8}
a55=0.53481999±1108a_{55}= -0.53481999 \pm 1 \cdot 10^{-8} a56=0.37099783±1108a_{56}= -0.37099783 \pm 1 \cdot 10^{-8} a57=+1.61665691±1108a_{57}= +1.61665691 \pm 1 \cdot 10^{-8}
a58=+0.21309285±1108a_{58}= +0.21309285 \pm 1 \cdot 10^{-8} a59=0.52139665±1108a_{59}= -0.52139665 \pm 1 \cdot 10^{-8} a60=1.58896330±1108a_{60}= -1.58896330 \pm 1 \cdot 10^{-8}

Displaying ana_n with nn up to: 60 180 1000