Properties

Level $11$
Weight $0$
Character 11.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 4.93319801574 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.293474030\) \(a_{3}=+1.447238045\) \(a_{4}=-0.913872994\) \(a_{5}=+1.634918834\)
\(a_{6}=+0.424726781\) \(a_{7}=+0.701216756\) \(a_{8}=-0.561672020\) \(a_{9}=+1.094497958\) \(a_{10}=+0.479806218\)
\(a_{11}=-0.301511345\) \(a_{12}=-1.322591765\) \(a_{13}=-0.557528547\) \(a_{14}=+0.205788907\) \(a_{15}=+2.366116736\)
\(a_{16}=+0.749036843\) \(a_{17}=-1.346861063\) \(a_{18}=+0.321206726\) \(a_{19}=-0.064714955\) \(a_{20}=-1.494108169\)
\(a_{21}=+1.014827567\) \(a_{22}=-0.088485749\) \(a_{23}=-0.759588596\) \(a_{24}=-0.812873116\) \(a_{25}=+1.672959592\)
\(a_{26}=-0.163620149\) \(a_{27}=+0.136761041\) \(a_{28}=-0.640823056\) \(a_{29}=+0.439683275\) \(a_{30}=+0.694393813\)
\(a_{31}=-0.547701537\) \(a_{32}=+0.781494880\) \(a_{33}=-0.436358689\) \(a_{34}=-0.395268743\) \(a_{35}=+1.146432481\)
\(a_{36}=-1.000232126\) \(a_{37}=+0.806601026\) \(a_{38}=-0.018992159\) \(a_{39}=-0.806876525\) \(a_{40}=-0.918288163\)
\(a_{41}=-0.863220657\) \(a_{42}=+0.297825535\) \(a_{43}=-0.855812574\) \(a_{44}=+0.275543075\) \(a_{45}=+1.789415326\)
\(a_{46}=-0.222919526\) \(a_{47}=+0.894587148\) \(a_{48}=+1.084034616\) \(a_{49}=-0.508295061\) \(a_{50}=+0.490970193\)
\(a_{51}=-1.949228571\) \(a_{52}=+0.509510283\) \(a_{53}=+0.946613803\) \(a_{54}=+0.040135814\) \(a_{55}=-0.492946576\)
\(a_{56}=-0.393853832\) \(a_{57}=-0.093657945\) \(a_{58}=+0.129035622\) \(a_{59}=+0.600587036\) \(a_{60}=-2.162330186\)
\(a_{61}=+0.616051279\) \(a_{62}=-0.160736177\) \(a_{63}=+0.767480308\) \(a_{64}=-0.519688391\) \(a_{65}=-0.911513923\)
\(a_{66}=-0.128059943\) \(a_{67}=+0.658273164\) \(a_{68}=+1.230859952\) \(a_{69}=-1.099305515\) \(a_{70}=+0.336448160\)
\(a_{71}=+0.506916464\) \(a_{72}=-0.614748879\) \(a_{73}=-0.524149967\) \(a_{74}=+0.236716453\) \(a_{75}=+2.421170770\)
\(a_{76}=+0.059141250\) \(a_{77}=-0.211424807\) \(a_{78}=-0.236797305\) \(a_{79}=+1.099360350\) \(a_{80}=+1.224614442\)
\(a_{81}=-0.896572177\) \(a_{82}=-0.253332845\) \(a_{83}=-1.888118904\) \(a_{84}=-0.927423507\) \(a_{85}=-2.202008518\)
\(a_{86}=-0.251158765\) \(a_{87}=+0.636326363\) \(a_{88}=+0.169350486\) \(a_{89}=+1.388228800\) \(a_{90}=+0.525146926\)
\(a_{91}=-0.390948359\) \(a_{92}=+0.694167505\) \(a_{93}=-0.792654502\) \(a_{94}=+0.262538095\) \(a_{95}=-0.105803699\)
\(a_{96}=+1.131009123\) \(a_{97}=+0.781945884\) \(a_{98}=-0.149171400\) \(a_{99}=-0.330003551\) \(a_{100}=-1.528872591\)

Showing 100 of 546 available coefficients

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