Properties

Label 11.155
Level 1111
Weight 00
Character 11.1
Symmetry even
RR 14.61952
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: 14.6195267863392865081993436122±410814.6195267863392865081993436122 \pm 4 \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=+1.92269644±8.7107a_{2}= +1.92269644 \pm 8.7 \cdot 10^{-7} a3=+1.51571954±9.3107a_{3}= +1.51571954 \pm 9.3 \cdot 10^{-7}
a4=+2.69676159±6.5107a_{4}= +2.69676159 \pm 6.5 \cdot 10^{-7} a5=0.56817807±6.9107a_{5}= -0.56817807 \pm 6.9 \cdot 10^{-7} a6=+2.91426856±9.9107a_{6}= +2.91426856 \pm 9.9 \cdot 10^{-7}
a7=+0.87209295±5.4107a_{7}= +0.87209295 \pm 5.4 \cdot 10^{-7} a8=+3.26235745±8.8107a_{8}= +3.26235745 \pm 8.8 \cdot 10^{-7} a9=+1.29740572±9.3107a_{9}= +1.29740572 \pm 9.3 \cdot 10^{-7}
a10=1.09243395±8.0107a_{10}= -1.09243395 \pm 8.0 \cdot 10^{-7} a11=0.30151134±1.0108a_{11}= -0.30151134 \pm 1.0 \cdot 10^{-8} a12=+4.08753423±6.1107a_{12}= +4.08753423 \pm 6.1 \cdot 10^{-7}
a13=+0.12065055±7.7107a_{13}= +0.12065055 \pm 7.7 \cdot 10^{-7} a14=+1.67677000±6.2107a_{14}= +1.67677000 \pm 6.2 \cdot 10^{-7} a15=0.86119860±7.6107a_{15}= -0.86119860 \pm 7.6 \cdot 10^{-7}
a16=+3.57576146±9.1107a_{16}= +3.57576146 \pm 9.1 \cdot 10^{-7} a17=1.83239465±6.8107a_{17}= -1.83239465 \pm 6.8 \cdot 10^{-7} a18=+2.49451736±9.6107a_{18}= +2.49451736 \pm 9.6 \cdot 10^{-7}
a19=0.28643798±7.3107a_{19}= -0.28643798 \pm 7.3 \cdot 10^{-7} a20=1.53224079±8.5107a_{20}= -1.53224079 \pm 8.5 \cdot 10^{-7} a21=+1.32184832±7.5107a_{21}= +1.32184832 \pm 7.5 \cdot 10^{-7}
a22=0.57971479±8.9107a_{22}= -0.57971479 \pm 8.9 \cdot 10^{-7} a23=+1.46712420±6.9107a_{23}= +1.46712420 \pm 6.9 \cdot 10^{-7} a24=+4.94481894±9.2107a_{24}= +4.94481894 \pm 9.2 \cdot 10^{-7}
a25=0.67717368±6.1107a_{25}= -0.67717368 \pm 6.1 \cdot 10^{-7} a26=+0.23197438±8.4107a_{26}= +0.23197438 \pm 8.4 \cdot 10^{-7} a27=+0.45078367±6.0107a_{27}= +0.45078367 \pm 6.0 \cdot 10^{-7}
a28=+2.35182676±4.3107a_{28}= +2.35182676 \pm 4.3 \cdot 10^{-7} a29=+0.72900718±8.3107a_{29}= +0.72900718 \pm 8.3 \cdot 10^{-7} a30=1.65582348±8.0107a_{30}= -1.65582348 \pm 8.0 \cdot 10^{-7}
a31=0.49381992±6.5107a_{31}= -0.49381992 \pm 6.5 \cdot 10^{-7} a32=+3.61274637±5.8107a_{32}= +3.61274637 \pm 5.8 \cdot 10^{-7} a33=0.45700664±9.4107a_{33}= -0.45700664 \pm 9.4 \cdot 10^{-7}
a34=3.52313867±6.5107a_{34}= -3.52313867 \pm 6.5 \cdot 10^{-7} a35=0.49550409±4.6107a_{35}= -0.49550409 \pm 4.6 \cdot 10^{-7} a36=+3.49879392±4.4107a_{36}= +3.49879392 \pm 4.4 \cdot 10^{-7}
a37=+0.80736911±6.9107a_{37}= +0.80736911 \pm 6.9 \cdot 10^{-7} a38=0.55073328±7.1107a_{38}= -0.55073328 \pm 7.1 \cdot 10^{-7} a39=+0.18287239±6.8107a_{39}= +0.18287239 \pm 6.8 \cdot 10^{-7}
a40=1.85359996±9.1107a_{40}= -1.85359996 \pm 9.1 \cdot 10^{-7} a41=1.26331962±8.0107a_{41}= -1.26331962 \pm 8.0 \cdot 10^{-7} a42=+2.54151305±8.3107a_{42}= +2.54151305 \pm 8.3 \cdot 10^{-7}
a43=0.76037262±6.7107a_{43}= -0.76037262 \pm 6.7 \cdot 10^{-7} a44=0.81310421±6.6107a_{44}= -0.81310421 \pm 6.6 \cdot 10^{-7} a45=0.73715748±7.0107a_{45}= -0.73715748 \pm 7.0 \cdot 10^{-7}
a46=+2.82083448±7.9107a_{46}= +2.82083448 \pm 7.9 \cdot 10^{-7} a47=0.28942525±8.3107a_{47}= -0.28942525 \pm 8.3 \cdot 10^{-7} a48=+5.41985152±1.0106a_{48}= +5.41985152 \pm 1.0 \cdot 10^{-6}
a49=0.23945389±5.6107a_{49}= -0.23945389 \pm 5.6 \cdot 10^{-7} a50=1.30199943±6.8107a_{50}= -1.30199943 \pm 6.8 \cdot 10^{-7} a51=2.77739638±7.7107a_{51}= -2.77739638 \pm 7.7 \cdot 10^{-7}
a52=+0.32536576±3.8107a_{52}= +0.32536576 \pm 3.8 \cdot 10^{-7} a53=+0.58139249±8.5107a_{53}= +0.58139249 \pm 8.5 \cdot 10^{-7} a54=+0.86672015±7.1107a_{54}= +0.86672015 \pm 7.1 \cdot 10^{-7}
a55=+0.17131213±7.0107a_{55}= +0.17131213 \pm 7.0 \cdot 10^{-7} a56=+2.84507893±5.7107a_{56}= +2.84507893 \pm 5.7 \cdot 10^{-7} a57=0.43415964±9.4107a_{57}= -0.43415964 \pm 9.4 \cdot 10^{-7}
a58=+1.40165950±8.7107a_{58}= +1.40165950 \pm 8.7 \cdot 10^{-7} a59=+0.29069674±1.0106a_{59}= +0.29069674 \pm 1.0 \cdot 10^{-6} a60=2.32244730±7.9107a_{60}= -2.32244730 \pm 7.9 \cdot 10^{-7}

Displaying ana_n with nn up to: 60 180 1000