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: \( 2.51945014895 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-1.868963108\) \(a_{4}=+0.500000000\) \(a_{5}=-0.616074118\)
\(a_{6}=-1.321556487\) \(a_{7}=-0.279788347\) \(a_{8}=+0.353553391\) \(a_{9}=+2.493023099\) \(a_{10}=-0.435630186\)
\(a_{11}=-1.542481170\) \(a_{12}=-0.934481554\) \(a_{13}=-0.228532076\) \(a_{14}=-0.197840237\) \(a_{15}=+1.151419798\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.242535625\) \(a_{18}=+1.762833539\) \(a_{19}=-1.336085487\) \(a_{20}=-0.308037059\)
\(a_{21}=+0.522914098\) \(a_{22}=-1.090698895\) \(a_{23}=+0.769723755\) \(a_{24}=-0.660778244\) \(a_{25}=-0.620452681\)
\(a_{26}=-0.161596581\) \(a_{27}=-2.790405091\) \(a_{28}=-0.139894173\) \(a_{29}=+0.783021968\) \(a_{30}=+0.814176747\)
\(a_{31}=-1.017328597\) \(a_{32}=+0.176776695\) \(a_{33}=+2.882840402\) \(a_{34}=+0.171498585\) \(a_{35}=+0.172370359\)
\(a_{36}=+1.246511549\) \(a_{37}=+0.867718128\) \(a_{38}=-0.944755108\) \(a_{39}=+0.427118019\) \(a_{40}=-0.217815093\)
\(a_{41}=-0.436838663\) \(a_{42}=+0.369756105\) \(a_{43}=+0.615224447\) \(a_{44}=-0.771240585\) \(a_{45}=-1.535887006\)
\(a_{46}=+0.544276887\) \(a_{47}=+0.799381071\) \(a_{48}=-0.467240777\) \(a_{49}=-0.921718481\) \(a_{50}=-0.438726298\)
\(a_{51}=-0.453290136\) \(a_{52}=-0.114266038\) \(a_{53}=-0.453660609\) \(a_{54}=-1.973114362\) \(a_{55}=+0.950282726\)
\(a_{56}=-0.098920119\) \(a_{57}=+2.497094484\) \(a_{58}=+0.553680143\) \(a_{59}=+0.102028192\) \(a_{60}=+0.575709899\)
\(a_{61}=-1.409583765\) \(a_{62}=-0.719359950\) \(a_{63}=-0.697518811\) \(a_{64}=+0.125000000\) \(a_{65}=+0.140792697\)
\(a_{66}=+2.038475997\) \(a_{67}=-1.510326890\) \(a_{68}=+0.121267813\) \(a_{69}=-1.438585301\) \(a_{70}=+0.121884250\)
\(a_{71}=-0.112725743\) \(a_{72}=+0.881416769\) \(a_{73}=-0.401330165\) \(a_{74}=+0.613569373\) \(a_{75}=+1.159603172\)
\(a_{76}=-0.668042743\) \(a_{77}=+0.431568256\) \(a_{78}=+0.302018048\) \(a_{79}=+0.464083047\) \(a_{80}=-0.154018529\)
\(a_{81}=+2.722141072\) \(a_{82}=-0.308891581\) \(a_{83}=-0.819423526\) \(a_{84}=+0.261457049\) \(a_{85}=-0.149419921\)
\(a_{86}=+0.435029379\) \(a_{87}=-1.463439170\) \(a_{88}=-0.545349448\) \(a_{89}=+0.006606252\) \(a_{90}=-1.086036117\)
\(a_{91}=+0.063940612\) \(a_{92}=+0.384861877\) \(a_{93}=+1.901349616\) \(a_{94}=+0.565247776\) \(a_{95}=+0.823127687\)
\(a_{96}=-0.330389122\) \(a_{97}=-0.479529728\) \(a_{98}=-0.651753388\) \(a_{99}=-3.845441187\) \(a_{100}=-0.310226341\)

Showing 100 of 330 available coefficients

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