Properties

Level $34$
Weight $0$
Character 34.1
Symmetry odd
Fricke sign $-1$

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Maass form invariants

Level: \( 34 = 2 \cdot 17 \)
Weight: \( 0 \)
Character: 34.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 1.43772610252 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=+0.368783210\) \(a_{4}=+0.500000000\) \(a_{5}=-1.092201659\)
\(a_{6}=+0.260769108\) \(a_{7}=+0.650306891\) \(a_{8}=+0.353553391\) \(a_{9}=-0.863998944\) \(a_{10}=-0.772303200\)
\(a_{11}=-0.953448383\) \(a_{12}=+0.184391605\) \(a_{13}=+1.431474757\) \(a_{14}=+0.459836412\) \(a_{15}=-0.402785634\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.242535625\) \(a_{18}=-0.610939512\) \(a_{19}=+1.523323133\) \(a_{20}=-0.546100830\)
\(a_{21}=+0.239822262\) \(a_{22}=-0.674189817\) \(a_{23}=+0.810994736\) \(a_{24}=+0.130384554\) \(a_{25}=+0.192904464\)
\(a_{26}=+1.012205508\) \(a_{27}=-0.687411514\) \(a_{28}=+0.325153445\) \(a_{29}=+0.172927474\) \(a_{30}=-0.284812453\)
\(a_{31}=-1.626403998\) \(a_{32}=+0.176776695\) \(a_{33}=-0.351615755\) \(a_{34}=-0.171498585\) \(a_{35}=-0.710266265\)
\(a_{36}=-0.431999472\) \(a_{37}=-0.934850318\) \(a_{38}=+1.077152117\) \(a_{39}=+0.527903856\) \(a_{40}=-0.386151600\)
\(a_{41}=-0.377456527\) \(a_{42}=+0.169579948\) \(a_{43}=+0.006253564\) \(a_{44}=-0.476724192\) \(a_{45}=+0.943661080\)
\(a_{46}=+0.573459878\) \(a_{47}=+1.096143985\) \(a_{48}=+0.092195802\) \(a_{49}=-0.577100948\) \(a_{50}=+0.136404055\)
\(a_{51}=-0.089443066\) \(a_{52}=+0.715737379\) \(a_{53}=-0.620059393\) \(a_{54}=-0.486073343\) \(a_{55}=+1.041357906\)
\(a_{56}=+0.229918206\) \(a_{57}=+0.561775995\) \(a_{58}=+0.122278189\) \(a_{59}=+0.797648306\) \(a_{60}=-0.201392817\)
\(a_{61}=+1.728323423\) \(a_{62}=-1.150041296\) \(a_{63}=-0.561864467\) \(a_{64}=+0.125000000\) \(a_{65}=-1.563459105\)
\(a_{66}=-0.248629885\) \(a_{67}=-0.247246608\) \(a_{68}=-0.121267813\) \(a_{69}=+0.299081242\) \(a_{70}=-0.502234092\)
\(a_{71}=-0.150904300\) \(a_{72}=-0.305469756\) \(a_{73}=-1.785483141\) \(a_{74}=-0.661038999\) \(a_{75}=+0.071139927\)
\(a_{76}=+0.761661566\) \(a_{77}=-0.620034053\) \(a_{78}=+0.373284396\) \(a_{79}=+0.451449688\) \(a_{80}=-0.273050415\)
\(a_{81}=+0.610493120\) \(a_{82}=-0.266902070\) \(a_{83}=+0.953392050\) \(a_{84}=+0.119911131\) \(a_{85}=+0.264897812\)
\(a_{86}=+0.004421938\) \(a_{87}=+0.063772749\) \(a_{88}=-0.337094909\) \(a_{89}=-0.282467595\) \(a_{90}=+0.667269149\)
\(a_{91}=+0.930897898\) \(a_{92}=+0.405497368\) \(a_{93}=-0.599790487\) \(a_{94}=+0.775090845\) \(a_{95}=-1.663776053\)
\(a_{96}=+0.065192277\) \(a_{97}=+0.489705286\) \(a_{98}=-0.408071994\) \(a_{99}=+0.823778396\) \(a_{100}=+0.096452232\)

Showing 100 of 310 available coefficients

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