Properties

Level $35$
Weight $0$
Character 35.1
Symmetry odd
Fricke sign $+1$

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Maass form invariants

Level: \( 35 = 5 \cdot 7 \)
Weight: \( 0 \)
Character: 35.1
Symmetry: odd
Fricke sign: $+1$
Spectral parameter: \( 3.84737205904 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.643871335\) \(a_{3}=-0.034540114\) \(a_{4}=+1.702312968\) \(a_{5}=+0.447213596\)
\(a_{6}=+0.056779503\) \(a_{7}=+0.377964473\) \(a_{8}=-1.154512156\) \(a_{9}=-0.998806981\) \(a_{10}=-0.735161610\)
\(a_{11}=+0.161897098\) \(a_{12}=-0.058798084\) \(a_{13}=+1.172465866\) \(a_{14}=-0.621324963\) \(a_{15}=-0.015446809\)
\(a_{16}=+0.195556472\) \(a_{17}=-0.982417283\) \(a_{18}=+1.641910165\) \(a_{19}=-1.334308197\) \(a_{20}=+0.761297503\)
\(a_{21}=-0.013054936\) \(a_{22}=-0.266137998\) \(a_{23}=-0.487780529\) \(a_{24}=+0.039876982\) \(a_{25}=+0.199951172\)
\(a_{26}=-1.927383029\) \(a_{27}=+0.069039021\) \(a_{28}=+0.643413824\) \(a_{29}=-1.309120395\) \(a_{30}=+0.025392566\)
\(a_{31}=+0.035652533\) \(a_{32}=+0.833042477\) \(a_{33}=-0.005591944\) \(a_{34}=+1.614967611\) \(a_{35}=+0.169030851\)
\(a_{36}=-1.700282075\) \(a_{37}=+0.103436579\) \(a_{38}=+2.193430998\) \(a_{39}=-0.040497105\) \(a_{40}=-0.516313532\)
\(a_{41}=-1.907608678\) \(a_{42}=+0.021460635\) \(a_{43}=+0.975440936\) \(a_{44}=+0.275599529\) \(a_{45}=-0.446680061\)
\(a_{46}=+0.801848430\) \(a_{47}=-1.743305518\) \(a_{48}=-0.006754543\) \(a_{49}=+0.142857143\) \(a_{50}=-0.328774267\)
\(a_{51}=+0.033932805\) \(a_{52}=+1.995903848\) \(a_{53}=-0.369314734\) \(a_{54}=-0.113491268\) \(a_{55}=+0.072402583\)
\(a_{56}=-0.436364579\) \(a_{57}=+0.046087157\) \(a_{58}=+2.152025491\) \(a_{59}=+0.085650120\) \(a_{60}=-0.026295303\)
\(a_{61}=-0.055615907\) \(a_{62}=-0.058608178\) \(a_{63}=-0.377513554\) \(a_{64}=-1.564971121\) \(a_{65}=+0.524342675\)
\(a_{66}=+0.009192437\) \(a_{67}=-0.087268061\) \(a_{68}=-1.672381681\) \(a_{69}=+0.016847995\) \(a_{70}=-0.277864971\)
\(a_{71}=-1.596484388\) \(a_{72}=+1.153134801\) \(a_{73}=-0.523458080\) \(a_{74}=-0.170036428\) \(a_{75}=-0.006908023\)
\(a_{76}=-2.271410147\) \(a_{77}=+0.061191351\) \(a_{78}=+0.066572030\) \(a_{79}=+1.397612858\) \(a_{80}=+0.087455513\)
\(a_{81}=+0.996422365\) \(a_{82}=+3.135863225\) \(a_{83}=+1.047479980\) \(a_{84}=-0.022223587\) \(a_{85}=-0.439350366\)
\(a_{86}=-1.603499395\) \(a_{87}=+0.045217168\) \(a_{88}=-0.186912167\) \(a_{89}=+0.190122310\) \(a_{90}=+0.734284548\)
\(a_{91}=+0.443150443\) \(a_{92}=-0.830355120\) \(a_{93}=-0.001231443\) \(a_{94}=+2.865769971\) \(a_{95}=-0.596720766\)
\(a_{96}=-0.028773382\) \(a_{97}=-0.603233254\) \(a_{98}=-0.234838762\) \(a_{99}=-0.161703951\) \(a_{100}=+0.340462594\)

Showing 100 of 276 available coefficients

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