Properties

Level $35$
Weight $0$
Character 35.1
Symmetry even
Fricke sign $-1$

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Maass form invariants

Level: \( 35 = 5 \cdot 7 \)
Weight: \( 0 \)
Character: 35.1
Symmetry: even
Fricke sign: $-1$
Spectral parameter: \( 3.1513437635 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.711850844\) \(a_{3}=-0.753296162\) \(a_{4}=-0.493268375\) \(a_{5}=+0.447213596\)
\(a_{6}=-0.536234509\) \(a_{7}=-0.377964473\) \(a_{8}=-1.062984354\) \(a_{9}=-0.432544893\) \(a_{10}=+0.318349376\)
\(a_{11}=+0.529723673\) \(a_{12}=+0.371577174\) \(a_{13}=-1.161735419\) \(a_{14}=-0.269054329\) \(a_{15}=-0.336884285\)
\(a_{16}=-0.263417935\) \(a_{17}=+0.655216744\) \(a_{18}=-0.307907447\) \(a_{19}=-1.541391933\) \(a_{20}=-0.220596324\)
\(a_{21}=+0.284719187\) \(a_{22}=+0.377084244\) \(a_{23}=+0.420258170\) \(a_{24}=+0.800742034\) \(a_{25}=+0.199951172\)
\(a_{26}=-0.826982339\) \(a_{27}=+1.079130569\) \(a_{28}=+0.186437922\) \(a_{29}=+1.118420799\) \(a_{30}=-0.239811363\)
\(a_{31}=-1.269432889\) \(a_{32}=+0.875470075\) \(a_{33}=-0.399038810\) \(a_{34}=+0.466416592\) \(a_{35}=-0.169030851\)
\(a_{36}=+0.213360717\) \(a_{37}=-0.791135048\) \(a_{38}=-1.097241149\) \(a_{39}=+0.875130832\) \(a_{40}=-0.475381055\)
\(a_{41}=-1.005805773\) \(a_{42}=+0.202677594\) \(a_{43}=-1.169704318\) \(a_{44}=-0.261295936\) \(a_{45}=-0.193439957\)
\(a_{46}=+0.299161134\) \(a_{47}=+0.067938745\) \(a_{48}=+0.198431719\) \(a_{49}=+0.142857143\) \(a_{50}=+0.142370169\)
\(a_{51}=-0.493572258\) \(a_{52}=+0.573047343\) \(a_{53}=+1.046238577\) \(a_{54}=+0.768180007\) \(a_{55}=+0.236899628\)
\(a_{56}=+0.401770321\) \(a_{57}=+1.161124627\) \(a_{58}=+0.796148790\) \(a_{59}=-1.914532292\) \(a_{60}=+0.166174364\)
\(a_{61}=-0.302468690\) \(a_{62}=-0.903646874\) \(a_{63}=+0.163486602\) \(a_{64}=+0.886622047\) \(a_{65}=-0.519543874\)
\(a_{66}=-0.284056114\) \(a_{67}=+1.703034964\) \(a_{68}=-0.323197699\) \(a_{69}=-0.316578867\) \(a_{70}=-0.120324754\)
\(a_{71}=-0.677467434\) \(a_{72}=+0.459788453\) \(a_{73}=-0.163569021\) \(a_{74}=-0.563170152\) \(a_{75}=-0.150659232\)
\(a_{76}=+0.760319895\) \(a_{77}=-0.200216729\) \(a_{78}=+0.622962622\) \(a_{79}=-0.786094999\) \(a_{80}=-0.117804082\)
\(a_{81}=-0.380360023\) \(a_{82}=-0.715983689\) \(a_{83}=+0.484746222\) \(a_{84}=-0.140442971\) \(a_{85}=+0.293021836\)
\(a_{86}=-0.832655006\) \(a_{87}=-0.842502095\) \(a_{88}=-0.563087976\) \(a_{89}=+0.249973664\) \(a_{90}=-0.137700397\)
\(a_{91}=+0.439094715\) \(a_{92}=-0.207300065\) \(a_{93}=+0.956258923\) \(a_{94}=+0.048362253\) \(a_{95}=-0.689331428\)
\(a_{96}=-0.659488247\) \(a_{97}=+1.421069110\) \(a_{98}=+0.101692978\) \(a_{99}=-0.229129269\) \(a_{100}=-0.098653675\)

Showing 100 of 280 available coefficients

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