Properties

Level $7$
Weight $0$
Character 7.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 7 \)
Weight: \( 0 \)
Character: 7.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 8.94499430391 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.670902742\) \(a_{3}=+1.730475055\) \(a_{4}=+1.791915972\) \(a_{5}=+0.770322278\)
\(a_{6}=-2.891455514\) \(a_{7}=+0.377964473\) \(a_{8}=-1.323214569\) \(a_{9}=+1.994543917\) \(a_{10}=-1.287133606\)
\(a_{11}=-0.749495369\) \(a_{12}=+3.100865890\) \(a_{13}=+0.153685085\) \(a_{14}=-0.631541874\) \(a_{15}=+1.333023486\)
\(a_{16}=+0.419046878\) \(a_{17}=+0.591258711\) \(a_{18}=-3.332688899\) \(a_{19}=+1.342002580\) \(a_{20}=+1.380352793\)
\(a_{21}=+0.654058092\) \(a_{22}=+1.252333868\) \(a_{23}=-0.445167361\) \(a_{24}=-2.289789804\) \(a_{25}=-0.406603588\)
\(a_{26}=-0.256792829\) \(a_{27}=+1.721033439\) \(a_{28}=+0.677280576\) \(a_{29}=+0.381252217\) \(a_{30}=-2.227352598\)
\(a_{31}=+1.070815747\) \(a_{32}=+0.623027991\) \(a_{33}=-1.296983041\) \(a_{34}=-0.987935801\) \(a_{35}=+0.291154454\)
\(a_{36}=+3.574055101\) \(a_{37}=+0.353401351\) \(a_{38}=-2.242355789\) \(a_{39}=+0.265948205\) \(a_{40}=-1.019301660\)
\(a_{41}=-0.440069866\) \(a_{42}=-1.092867460\) \(a_{43}=+1.470613295\) \(a_{44}=-1.343032723\) \(a_{45}=+1.536441613\)
\(a_{46}=+0.743831365\) \(a_{47}=-0.744056261\) \(a_{48}=+0.725150170\) \(a_{49}=+0.142857143\) \(a_{50}=+0.679395051\)
\(a_{51}=+1.023158450\) \(a_{52}=+0.275390758\) \(a_{53}=-1.225211191\) \(a_{54}=-2.875679492\) \(a_{55}=-0.577352980\)
\(a_{56}=-0.500128097\) \(a_{57}=+2.322301988\) \(a_{58}=-0.637035375\) \(a_{59}=-1.293555763\) \(a_{60}=+2.388666076\)
\(a_{61}=+1.513386144\) \(a_{62}=-1.789228967\) \(a_{63}=+0.753866740\) \(a_{64}=-1.460066056\) \(a_{65}=+0.118387044\)
\(a_{66}=+2.167132519\) \(a_{67}=-0.672430312\) \(a_{68}=+1.059485927\) \(a_{69}=-0.770351014\) \(a_{70}=-0.486490775\)
\(a_{71}=+0.912760488\) \(a_{72}=-2.639209568\) \(a_{73}=+0.274833381\) \(a_{74}=-0.590499286\) \(a_{75}=-0.703617367\)
\(a_{76}=+2.404755857\) \(a_{77}=-0.283282622\) \(a_{78}=-0.444373585\) \(a_{79}=-0.621251494\) \(a_{80}=+0.322801146\)
\(a_{81}=+0.983661519\) \(a_{82}=+0.735313945\) \(a_{83}=-1.147815636\) \(a_{84}=+1.172017142\) \(a_{85}=+0.455459757\)
\(a_{86}=-2.457251786\) \(a_{87}=+0.659747452\) \(a_{88}=+0.991743192\) \(a_{89}=+0.616948413\) \(a_{90}=-2.567244504\)
\(a_{91}=+0.058087502\) \(a_{92}=-0.797702505\) \(a_{93}=+1.853019939\) \(a_{94}=+1.243245647\) \(a_{95}=+1.033774484\)
\(a_{96}=+1.078134396\) \(a_{97}=-0.347308884\) \(a_{98}=-0.238700392\) \(a_{99}=-1.494901430\) \(a_{100}=-0.728599464\)

Showing 100 of 1228 available coefficients

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