Properties

Level $73$
Weight $0$
Character 73.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 73 \)
Weight: \( 0 \)
Character: 73.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 3.897705879 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+1.567491484\) \(a_{3}=+1.082228950\) \(a_{4}=+1.457029552\) \(a_{5}=-0.487702235\)
\(a_{6}=+1.696384663\) \(a_{7}=+1.222636024\) \(a_{8}=+0.716389931\) \(a_{9}=+0.171219500\) \(a_{10}=-0.764469100\)
\(a_{11}=+0.712245550\) \(a_{12}=+1.576839563\) \(a_{13}=+1.806647521\) \(a_{14}=+1.916471556\) \(a_{15}=-0.527805478\)
\(a_{16}=-0.334094436\) \(a_{17}=+1.563907239\) \(a_{18}=+0.268385108\) \(a_{19}=-1.568294108\) \(a_{20}=-0.710596569\)
\(a_{21}=+1.323172101\) \(a_{22}=+1.116438834\) \(a_{23}=-0.431412962\) \(a_{24}=+0.775297923\) \(a_{25}=-0.762146530\)
\(a_{26}=+2.831904604\) \(a_{27}=-0.896930250\) \(a_{28}=+1.781416819\) \(a_{29}=-0.317388985\) \(a_{30}=-0.827330591\)
\(a_{31}=-1.302904612\) \(a_{32}=-1.240080114\) \(a_{33}=+0.770812754\) \(a_{34}=+2.451411279\) \(a_{35}=-0.596282322\)
\(a_{36}=+0.249471872\) \(a_{37}=+0.347890173\) \(a_{38}=-2.458287659\) \(a_{39}=+1.955206250\) \(a_{40}=-0.349384971\)
\(a_{41}=-0.081160745\) \(a_{42}=+2.074061000\) \(a_{43}=+0.716082739\) \(a_{44}=+1.037762815\) \(a_{45}=-0.083504133\)
\(a_{46}=-0.676236144\) \(a_{47}=-0.981095992\) \(a_{48}=-0.361566670\) \(a_{49}=+0.494838847\) \(a_{50}=-1.194658195\)
\(a_{51}=+1.692505689\) \(a_{52}=+2.632338829\) \(a_{53}=+1.693164149\) \(a_{54}=-1.405930529\) \(a_{55}=-0.347363747\)
\(a_{56}=+0.875884137\) \(a_{57}=-1.697253286\) \(a_{58}=-0.497504532\) \(a_{59}=-1.691932194\) \(a_{60}=-0.769028179\)
\(a_{61}=+0.438332035\) \(a_{62}=-2.042291883\) \(a_{63}=+0.209339129\) \(a_{64}=-1.609720583\) \(a_{65}=-0.881106034\)
\(a_{66}=+1.208242427\) \(a_{67}=-0.066130564\) \(a_{68}=+2.278659065\) \(a_{69}=-0.466887597\) \(a_{70}=-0.934667461\)
\(a_{71}=-0.138260219\) \(a_{72}=+0.122659926\) \(a_{73}=-0.117041147\) \(a_{74}=+0.545314884\) \(a_{75}=-0.824817039\)
\(a_{76}=-2.285050862\) \(a_{77}=+0.870817067\) \(a_{78}=+3.064769146\) \(a_{79}=-0.165314471\) \(a_{80}=+0.162938603\)
\(a_{81}=-1.141903383\) \(a_{82}=-0.127218777\) \(a_{83}=+0.996383078\) \(a_{84}=+1.927900853\) \(a_{85}=-0.762721056\)
\(a_{86}=+1.122453595\) \(a_{87}=-0.343487548\) \(a_{88}=+0.510245541\) \(a_{89}=+0.311401915\) \(a_{90}=-0.130892017\)
\(a_{91}=+2.208872342\) \(a_{92}=-0.628581435\) \(a_{93}=-1.410041090\) \(a_{94}=-1.537859613\) \(a_{95}=+0.764860542\)
\(a_{96}=-1.342050600\) \(a_{97}=+0.263705481\) \(a_{98}=+0.775655679\) \(a_{99}=+0.121950327\) \(a_{100}=-1.110470017\)

Showing 100 of 546 available coefficients

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