Properties

Level $34$
Weight $0$
Character 34.1
Symmetry even
Fricke sign $+1$

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Maass form invariants

Level: \( 34 = 2 \cdot 17 \)
Weight: \( 0 \)
Character: 34.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 0.969123650097 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-1.601462747\) \(a_{4}=+0.500000000\) \(a_{5}=+0.182971535\)
\(a_{6}=+1.132405168\) \(a_{7}=+0.549812661\) \(a_{8}=-0.353553391\) \(a_{9}=+1.564682929\) \(a_{10}=-0.129380413\)
\(a_{11}=-1.230886999\) \(a_{12}=-0.800731373\) \(a_{13}=+1.063354207\) \(a_{14}=-0.388776261\) \(a_{15}=-0.293022097\)
\(a_{16}=+0.250000000\) \(a_{17}=-0.242535625\) \(a_{18}=-1.106397910\) \(a_{19}=+0.225362760\) \(a_{20}=+0.091485767\)
\(a_{21}=-0.880504494\) \(a_{22}=+0.870368544\) \(a_{23}=+0.387385428\) \(a_{24}=+0.566202584\) \(a_{25}=-0.966521418\)
\(a_{26}=-0.751904970\) \(a_{27}=-0.904318675\) \(a_{28}=+0.274906331\) \(a_{29}=+0.986607755\) \(a_{30}=+0.207197911\)
\(a_{31}=+1.467797582\) \(a_{32}=-0.176776696\) \(a_{33}=+1.971219673\) \(a_{34}=+0.171498586\) \(a_{35}=+0.100600066\)
\(a_{36}=+0.782341465\) \(a_{37}=-1.251237504\) \(a_{38}=-0.159355540\) \(a_{39}=-1.702922147\) \(a_{40}=-0.064690207\)
\(a_{41}=+0.008188799\) \(a_{42}=+0.622610704\) \(a_{43}=-0.455146302\) \(a_{44}=-0.615443494\) \(a_{45}=+0.286292437\)
\(a_{46}=-0.273922869\) \(a_{47}=-0.765108699\) \(a_{48}=-0.400365695\) \(a_{49}=-0.697706036\) \(a_{50}=+0.683433857\)
\(a_{51}=+0.388411761\) \(a_{52}=+0.531677114\) \(a_{53}=+0.218032626\) \(a_{54}=+0.639449826\) \(a_{55}=-0.225217239\)
\(a_{56}=-0.194388151\) \(a_{57}=-0.360910051\) \(a_{58}=-0.697635798\) \(a_{59}=+1.518479088\) \(a_{60}=-0.146511004\)
\(a_{61}=-0.273792947\) \(a_{62}=-1.037889711\) \(a_{63}=+0.860282285\) \(a_{64}=+0.125000261\) \(a_{65}=+0.194562653\)
\(a_{66}=-1.393862936\) \(a_{67}=+0.013331935\) \(a_{68}=-0.121266356\) \(a_{69}=-0.620377979\) \(a_{70}=-0.071134087\)
\(a_{71}=-0.123185979\) \(a_{72}=-0.553204052\) \(a_{73}=+0.984591582\) \(a_{74}=+0.884760182\) \(a_{75}=+1.547844691\)
\(a_{76}=+0.112681051\) \(a_{77}=-0.676759195\) \(a_{78}=+1.204141719\) \(a_{79}=-0.059899210\) \(a_{80}=+0.045782007\)
\(a_{81}=-0.116450238\) \(a_{82}=-0.005789861\) \(a_{83}=+1.760149741\) \(a_{84}=-0.440252135\) \(a_{85}=-0.044377707\)
\(a_{86}=+0.321837122\) \(a_{87}=-1.580015926\) \(a_{88}=+0.435184218\) \(a_{89}=+1.229840352\) \(a_{90}=-0.202439083\)
\(a_{91}=+0.584644879\) \(a_{92}=+0.193692710\) \(a_{93}=-2.350623236\) \(a_{94}=+0.541014213\) \(a_{95}=+0.041235338\)
\(a_{96}=+0.283100805\) \(a_{97}=-0.536935137\) \(a_{98}=+0.493352286\) \(a_{99}=-1.925942452\) \(a_{100}=-0.483259479\)

Showing 100 of 2000 available coefficients

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