Properties

Level $94$
Weight $0$
Character 94.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 94 = 2 \cdot 47 \)
Weight: \( 0 \)
Character: 94.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 1.78013801592 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+0.832031132\) \(a_{4}=+0.500000000\) \(a_{5}=+1.498461317\)
\(a_{6}=+0.588334856\) \(a_{7}=-1.459178133\) \(a_{8}=+0.353553391\) \(a_{9}=-0.307724195\) \(a_{10}=+1.059572159\)
\(a_{11}=+1.309846051\) \(a_{12}=+0.416015566\) \(a_{13}=+0.631023865\) \(a_{14}=-1.031794753\) \(a_{15}=+1.246766467\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.634035957\) \(a_{18}=-0.217593865\) \(a_{19}=-1.596809283\) \(a_{20}=+0.749230659\)
\(a_{21}=-1.214081635\) \(a_{22}=+0.926201025\) \(a_{23}=-1.308757032\) \(a_{24}=+0.294167428\) \(a_{25}=+1.245386319\)
\(a_{26}=+0.446201254\) \(a_{27}=-1.088067243\) \(a_{28}=-0.729589067\) \(a_{29}=+1.307948171\) \(a_{30}=+0.881597023\)
\(a_{31}=-0.288525017\) \(a_{32}=+0.176776695\) \(a_{33}=+1.089832693\) \(a_{34}=-0.448331125\) \(a_{35}=-2.186521988\)
\(a_{36}=-0.153862097\) \(a_{37}=-1.155215457\) \(a_{38}=-1.129114672\) \(a_{39}=+0.525031501\) \(a_{40}=+0.529786079\)
\(a_{41}=+1.522240634\) \(a_{42}=-0.858485357\) \(a_{43}=+0.506697512\) \(a_{44}=+0.654923025\) \(a_{45}=-0.461112802\)
\(a_{46}=-0.925430972\) \(a_{47}=-0.145864991\) \(a_{48}=+0.208007783\) \(a_{49}=+1.129200825\) \(a_{50}=+0.880621111\)
\(a_{51}=-0.527537655\) \(a_{52}=+0.315511933\) \(a_{53}=+0.870997156\) \(a_{54}=-0.769379726\) \(a_{55}=+1.962753638\)
\(a_{56}=-0.515897377\) \(a_{57}=-1.328595036\) \(a_{58}=+0.924859021\) \(a_{59}=+0.070859043\) \(a_{60}=+0.623383233\)
\(a_{61}=-0.168883988\) \(a_{62}=-0.204017996\) \(a_{63}=+0.449024416\) \(a_{64}=+0.125000000\) \(a_{65}=+0.945564852\)
\(a_{66}=+0.770628087\) \(a_{67}=+0.216954723\) \(a_{68}=-0.317017979\) \(a_{69}=-1.088926595\) \(a_{70}=-1.546104525\)
\(a_{71}=-0.592008751\) \(a_{72}=-0.108796932\) \(a_{73}=+0.974558045\) \(a_{74}=-0.816860684\) \(a_{75}=+1.036200189\)
\(a_{76}=-0.798404641\) \(a_{77}=-1.911298715\) \(a_{78}=+0.371253335\) \(a_{79}=+0.820656937\) \(a_{80}=+0.374615329\)
\(a_{81}=-0.597581625\) \(a_{82}=+1.076386675\) \(a_{83}=+1.251174939\) \(a_{84}=-0.607040817\) \(a_{85}=-0.950078356\)
\(a_{86}=+0.358289247\) \(a_{87}=+1.088253598\) \(a_{88}=+0.463100512\) \(a_{89}=+0.845183412\) \(a_{90}=-0.326055989\)
\(a_{91}=-0.920776226\) \(a_{92}=-0.654378516\) \(a_{93}=-0.240061797\) \(a_{94}=-0.103142125\) \(a_{95}=-2.392756941\)
\(a_{96}=+0.147083714\) \(a_{97}=+0.302925176\) \(a_{98}=+0.798465561\) \(a_{99}=-0.403071321\) \(a_{100}=+0.622693160\)

Showing 100 of 760 available coefficients

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