Properties

Level $11$
Weight $0$
Character 11.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 11 \)
Weight: \( 0 \)
Character: 11.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 6.06921835946 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.320414380\) \(a_{3}=+1.213498477\) \(a_{4}=+0.743494135\) \(a_{5}=-0.194919750\)
\(a_{6}=+1.602320839\) \(a_{7}=+1.678187884\) \(a_{8}=-0.338694033\) \(a_{9}=+0.472578554\) \(a_{10}=-0.257374840\)
\(a_{11}=+0.301511345\) \(a_{12}=+0.902229000\) \(a_{13}=-0.154593405\) \(a_{14}=+2.215903414\) \(a_{15}=-0.236534819\)
\(a_{16}=-1.190710606\) \(a_{17}=-0.678954026\) \(a_{18}=+0.623999518\) \(a_{19}=-1.472748870\) \(a_{20}=-0.144921691\)
\(a_{21}=+2.036478441\) \(a_{22}=+0.398119915\) \(a_{23}=+0.504917111\) \(a_{24}=-0.411004693\) \(a_{25}=-0.962006291\)
\(a_{26}=-0.204127355\) \(a_{27}=-0.640025122\) \(a_{28}=+1.247722849\) \(a_{29}=+0.160034895\) \(a_{30}=-0.312323977\)
\(a_{31}=+1.380376387\) \(a_{32}=-1.233537374\) \(a_{33}=+0.365883557\) \(a_{34}=-0.896500659\) \(a_{35}=-0.327111962\)
\(a_{36}=+0.351359383\) \(a_{37}=+0.403225222\) \(a_{38}=-1.944638786\) \(a_{39}=-0.187598861\) \(a_{40}=+0.066018156\)
\(a_{41}=+1.247971532\) \(a_{42}=+2.688995418\) \(a_{43}=-0.661011229\) \(a_{44}=+0.224171916\) \(a_{45}=-0.092114893\)
\(a_{46}=+0.666699814\) \(a_{47}=-1.365768758\) \(a_{48}=-1.444925507\) \(a_{49}=+1.816314574\) \(a_{50}=-1.270246941\)
\(a_{51}=-0.823909676\) \(a_{52}=-0.114939290\) \(a_{53}=+1.771771256\) \(a_{54}=-0.845098375\) \(a_{55}=-0.058770516\)
\(a_{56}=-0.568392222\) \(a_{57}=-1.787178511\) \(a_{58}=+0.211312376\) \(a_{59}=+0.951424455\) \(a_{60}=-0.175862251\)
\(a_{61}=+0.828398007\) \(a_{62}=+1.822668831\) \(a_{63}=+0.793075603\) \(a_{64}=-0.438069881\) \(a_{65}=+0.030133308\)
\(a_{66}=+0.483117911\) \(a_{67}=-0.719286952\) \(a_{68}=-0.504798336\) \(a_{69}=+0.612716146\) \(a_{70}=-0.431923339\)
\(a_{71}=-0.264906300\) \(a_{72}=-0.160059536\) \(a_{73}=-0.392893846\) \(a_{74}=+0.532424381\) \(a_{75}=-1.167393169\)
\(a_{76}=-1.094980147\) \(a_{77}=+0.505992685\) \(a_{78}=-0.247708234\) \(a_{79}=-0.561735383\) \(a_{80}=+0.232093013\)
\(a_{81}=-1.249248064\) \(a_{82}=+1.647839557\) \(a_{83}=+1.444812571\) \(a_{84}=+1.514109777\) \(a_{85}=+0.132341549\)
\(a_{86}=-0.872808732\) \(a_{87}=+0.194202101\) \(a_{88}=-0.102120093\) \(a_{89}=-1.207510121\) \(a_{90}=-0.121629830\)
\(a_{91}=-0.259436779\) \(a_{92}=+0.375402911\) \(a_{93}=+1.675084643\) \(a_{94}=-1.803380708\) \(a_{95}=+0.287067841\)
\(a_{96}=-1.496895725\) \(a_{97}=+1.041282990\) \(a_{98}=+2.398287882\) \(a_{99}=+0.142487795\) \(a_{100}=-0.715246035\)

Showing 100 of 546 available coefficients

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