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: \( 0.95419922138 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.147136189\) \(a_{3}=-1.392155559\) \(a_{4}=+0.315921436\) \(a_{5}=-0.447213595\)
\(a_{6}=+1.596992022\) \(a_{7}=-0.377964473\) \(a_{8}=+0.784731277\) \(a_{9}=+0.938097099\) \(a_{10}=+0.513014900\)
\(a_{11}=-0.863500981\) \(a_{12}=-0.439811783\) \(a_{13}=-0.501058253\) \(a_{14}=+0.433576725\) \(a_{15}=+0.622590893\)
\(a_{16}=-1.216115082\) \(a_{17}=-0.221758010\) \(a_{18}=-1.076125131\) \(a_{19}=-0.401992096\) \(a_{20}=-0.141284361\)
\(a_{21}=+0.526185342\) \(a_{22}=+0.990553225\) \(a_{23}=+0.074060914\) \(a_{24}=-1.092468009\) \(a_{25}=+0.199951172\)
\(a_{26}=+0.574782054\) \(a_{27}=+0.086178468\) \(a_{28}=-0.119407079\) \(a_{29}=-0.723150446\) \(a_{30}=-0.714196544\)
\(a_{31}=+1.608521653\) \(a_{32}=+0.610318344\) \(a_{33}=+1.202127691\) \(a_{34}=+0.254386639\) \(a_{35}=+0.169030851\)
\(a_{36}=+0.296364983\) \(a_{37}=-0.266762503\) \(a_{38}=+0.461139681\) \(a_{39}=+0.697551031\) \(a_{40}=-0.350942496\)
\(a_{41}=-1.166094825\) \(a_{42}=-0.603606248\) \(a_{43}=-1.777302956\) \(a_{44}=-0.272798470\) \(a_{45}=-0.419529777\)
\(a_{46}=-0.084957954\) \(a_{47}=-0.846478848\) \(a_{48}=+1.693021372\) \(a_{49}=+0.142857143\) \(a_{50}=-0.229427238\)
\(a_{51}=+0.308721647\) \(a_{52}=-0.158295043\) \(a_{53}=+1.065929386\) \(a_{54}=-0.098858439\) \(a_{55}=+0.386169379\)
\(a_{56}=-0.296600543\) \(a_{57}=+0.559635531\) \(a_{58}=+0.829552047\) \(a_{59}=-1.685107397\) \(a_{60}=+0.196689809\)
\(a_{61}=+0.351553179\) \(a_{62}=-1.845193399\) \(a_{63}=-0.354567376\) \(a_{64}=+0.515996823\) \(a_{65}=+0.224080063\)
\(a_{66}=-1.379004178\) \(a_{67}=+0.559022112\) \(a_{68}=-0.070058109\) \(a_{69}=-0.103104313\) \(a_{70}=-0.193901406\)
\(a_{71}=+1.244818137\) \(a_{72}=+0.736154134\) \(a_{73}=-0.320176840\) \(a_{74}=+0.306012921\) \(a_{75}=-0.278431112\)
\(a_{76}=-0.126997920\) \(a_{77}=+0.326372693\) \(a_{78}=-0.800186032\) \(a_{79}=+0.605213620\) \(a_{80}=+0.543863199\)
\(a_{81}=-1.058070932\) \(a_{82}=+1.337669573\) \(a_{83}=-0.504350091\) \(a_{84}=+0.166233229\) \(a_{85}=+0.099173197\)
\(a_{86}=+2.038808539\) \(a_{87}=+1.006737914\) \(a_{88}=-0.677616228\) \(a_{89}=+1.185400940\) \(a_{90}=+0.481257789\)
\(a_{91}=+0.189382218\) \(a_{92}=+0.023397430\) \(a_{93}=-2.239312361\) \(a_{94}=+0.971026520\) \(a_{95}=+0.179776331\)
\(a_{96}=-0.849658075\) \(a_{97}=-0.404720600\) \(a_{98}=-0.163876598\) \(a_{99}=-0.810047766\) \(a_{100}=+0.063184287\)

Showing 100 of 310 available coefficients

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