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: \( 7.57048468838 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.703591987\) \(a_{3}=+1.643754698\) \(a_{4}=+1.902225657\) \(a_{5}=+1.404221814\)
\(a_{6}=-2.800287332\) \(a_{7}=+0.811069856\) \(a_{8}=-1.537024399\) \(a_{9}=+1.701929509\) \(a_{10}=-2.392221029\)
\(a_{11}=-0.301511345\) \(a_{12}=+3.126792361\) \(a_{13}=+0.191120278\) \(a_{14}=-1.381732108\) \(a_{15}=+2.308196204\)
\(a_{16}=+0.716236792\) \(a_{17}=+0.365380481\) \(a_{18}=-2.899393473\) \(a_{19}=-1.034454624\) \(a_{20}=+2.671146762\)
\(a_{21}=+1.333199887\) \(a_{22}=+0.513652310\) \(a_{23}=+0.542449921\) \(a_{24}=-2.526491077\) \(a_{25}=+0.971838903\)
\(a_{26}=-0.325590974\) \(a_{27}=+1.153799928\) \(a_{28}=+1.542837890\) \(a_{29}=-0.794369338\) \(a_{30}=-3.932224557\)
\(a_{31}=+1.058664886\) \(a_{32}=+0.316849139\) \(a_{33}=-0.495610689\) \(a_{34}=-0.622459260\) \(a_{35}=+1.138921985\)
\(a_{36}=+3.237453977\) \(a_{37}=-1.003678574\) \(a_{38}=+1.762288608\) \(a_{39}=+0.314154855\) \(a_{40}=-2.158323189\)
\(a_{41}=-0.355755550\) \(a_{42}=-2.271228644\) \(a_{43}=-0.474195996\) \(a_{44}=-0.573542615\) \(a_{45}=+2.389886542\)
\(a_{46}=-0.924113338\) \(a_{47}=+1.323861495\) \(a_{48}=+1.177317593\) \(a_{49}=-0.342165688\) \(a_{50}=-1.655616967\)
\(a_{51}=+0.600595883\) \(a_{52}=+0.363553896\) \(a_{53}=+1.810847935\) \(a_{54}=-1.965604311\) \(a_{55}=-0.423388807\)
\(a_{56}=-1.246634158\) \(a_{57}=-1.700389649\) \(a_{58}=+1.353281238\) \(a_{59}=+0.209530390\) \(a_{60}=+4.390710040\)
\(a_{61}=-0.367744764\) \(a_{62}=-1.803533016\) \(a_{63}=+1.380383722\) \(a_{64}=-1.256018446\) \(a_{65}=+0.268375264\)
\(a_{66}=+0.844318399\) \(a_{67}=-1.843823403\) \(a_{68}=+0.695036126\) \(a_{69}=+0.891654606\) \(a_{70}=-1.940258367\)
\(a_{71}=-0.559372610\) \(a_{72}=-2.615907180\) \(a_{73}=+1.181825812\) \(a_{74}=+1.709858776\) \(a_{75}=+1.597464762\)
\(a_{76}=-1.967766127\) \(a_{77}=-0.244546763\) \(a_{78}=-0.535191694\) \(a_{79}=-0.378135997\) \(a_{80}=+1.005755328\)
\(a_{81}=+0.194634544\) \(a_{82}=+0.606062305\) \(a_{83}=+0.855538614\) \(a_{84}=+2.536047031\) \(a_{85}=+0.513075242\)
\(a_{86}=+0.807836498\) \(a_{87}=-1.305748331\) \(a_{88}=+0.463430293\) \(a_{89}=-1.006242818\) \(a_{90}=-4.071391561\)
\(a_{91}=+0.155011896\) \(a_{92}=+1.031862157\) \(a_{93}=+1.740185380\) \(a_{94}=-2.255319833\) \(a_{95}=-1.452603749\)
\(a_{96}=+0.520822261\) \(a_{97}=-0.098140616\) \(a_{98}=+0.582910724\) \(a_{99}=-0.513151055\) \(a_{100}=+1.848656895\)

Showing 100 of 546 available coefficients

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