Properties

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

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 34 = 2 \cdot 17 \)
Weight: \( 0 \)
Character: 34.1
Symmetry: odd
Fricke sign: $-1$
Spectral parameter: \( 3.01242186933 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-0.707106781\) \(a_{3}=-1.496221462\) \(a_{4}=+0.500000000\) \(a_{5}=+1.654750582\)
\(a_{6}=+1.057988342\) \(a_{7}=-0.994036482\) \(a_{8}=-0.353553391\) \(a_{9}=+1.238678664\) \(a_{10}=-1.170085358\)
\(a_{11}=+1.409886534\) \(a_{12}=-0.748110731\) \(a_{13}=+0.739578490\) \(a_{14}=+0.702889937\) \(a_{15}=-2.475873335\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.242535625\) \(a_{18}=-0.875878083\) \(a_{19}=+0.808889992\) \(a_{20}=+0.827375291\)
\(a_{21}=+1.487298718\) \(a_{22}=-0.996940329\) \(a_{23}=-0.821786182\) \(a_{24}=+0.528994171\) \(a_{25}=+1.738199489\)
\(a_{26}=-0.522960966\) \(a_{27}=-0.357116139\) \(a_{28}=-0.497018241\) \(a_{29}=+0.565992439\) \(a_{30}=+1.750706825\)
\(a_{31}=-0.057649822\) \(a_{32}=-0.176776695\) \(a_{33}=-2.109502491\) \(a_{34}=-0.171498585\) \(a_{35}=-1.644882446\)
\(a_{36}=+0.619339332\) \(a_{37}=+1.213106040\) \(a_{38}=-0.571971598\) \(a_{39}=-1.106573210\) \(a_{40}=-0.585042679\)
\(a_{41}=+0.496540990\) \(a_{42}=-1.051679009\) \(a_{43}=+1.029640600\) \(a_{44}=+0.704943267\) \(a_{45}=+2.049704239\)
\(a_{46}=+0.581090582\) \(a_{47}=-1.136631615\) \(a_{48}=-0.374055366\) \(a_{49}=-0.011891473\) \(a_{50}=-1.229092645\)
\(a_{51}=-0.362887007\) \(a_{52}=+0.369789245\) \(a_{53}=+0.001501346\) \(a_{54}=+0.252519244\) \(a_{55}=+2.333010563\)
\(a_{56}=+0.351444968\) \(a_{57}=-1.210278566\) \(a_{58}=-0.400217092\) \(a_{59}=+1.300176532\) \(a_{60}=-1.237936668\)
\(a_{61}=-1.295637986\) \(a_{62}=+0.040764580\) \(a_{63}=-1.231291781\) \(a_{64}=+0.125000000\) \(a_{65}=+1.223817937\)
\(a_{66}=+1.491643517\) \(a_{67}=-0.566243064\) \(a_{68}=+0.121267813\) \(a_{69}=+1.229574123\) \(a_{70}=+1.163107532\)
\(a_{71}=+1.439480230\) \(a_{72}=-0.437939041\) \(a_{73}=+0.610537202\) \(a_{74}=-0.857795507\) \(a_{75}=-2.600731380\)
\(a_{76}=+0.404444996\) \(a_{77}=-1.401478650\) \(a_{78}=+0.782465420\) \(a_{79}=-0.188364297\) \(a_{80}=+0.413687645\)
\(a_{81}=-0.704353832\) \(a_{82}=-0.351107501\) \(a_{83}=-1.055479961\) \(a_{84}=+0.743649359\) \(a_{85}=+0.401335967\)
\(a_{86}=-0.728065850\) \(a_{87}=-0.846850034\) \(a_{88}=-0.498470164\) \(a_{89}=-0.440870228\) \(a_{90}=-1.449359767\)
\(a_{91}=-0.735168000\) \(a_{92}=-0.410893091\) \(a_{93}=+0.086256901\) \(a_{94}=+0.803719922\) \(a_{95}=+1.338511184\)
\(a_{96}=+0.264497085\) \(a_{97}=+0.889978829\) \(a_{98}=+0.008408541\) \(a_{99}=+1.746396368\) \(a_{100}=+0.869099744\)

Showing 100 of 336 available coefficients

Rows: Cols: