Properties

Level $1$
Weight $0$
Character 1.1
Symmetry even
Fricke sign $+1$

Related objects

Downloads

Learn more

Maass form invariants

Level: \( 1 \)
Weight: \( 0 \)
Character: 1.1
Symmetry: even
Fricke sign: $+1$
Spectral parameter: \( 46.1014563216 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=-1.235228658\) \(a_{3}=-1.698054983\) \(a_{4}=+0.525789838\) \(a_{5}=+0.269591490\)
\(a_{6}=+2.097486178\) \(a_{7}=-1.158381808\) \(a_{8}=+0.585757982\) \(a_{9}=+1.883390724\) \(a_{10}=-0.333007134\)
\(a_{11}=+1.159175111\) \(a_{12}=-0.892820054\) \(a_{13}=+0.904960550\) \(a_{14}=+1.430866407\) \(a_{15}=-0.457781173\)
\(a_{16}=-1.249334884\) \(a_{17}=-0.550436373\) \(a_{18}=-2.326418197\) \(a_{19}=-0.856529072\) \(a_{20}=+0.141748462\)
\(a_{21}=+1.966996027\) \(a_{22}=-1.431846541\) \(a_{23}=+0.346419245\) \(a_{24}=-0.994649260\) \(a_{25}=-0.927320429\)
\(a_{26}=-1.117833206\) \(a_{27}=-1.500046020\) \(a_{28}=-0.609065383\) \(a_{29}=+0.604187008\) \(a_{30}=+0.565464424\)
\(a_{31}=-1.335318257\) \(a_{32}=+0.957456271\) \(a_{33}=-1.968343073\) \(a_{34}=+0.679914783\) \(a_{35}=-0.312289878\)
\(a_{36}=+0.990267704\) \(a_{37}=+0.466247451\) \(a_{38}=+1.058009256\) \(a_{39}=-1.536672772\) \(a_{40}=+0.157915367\)
\(a_{41}=+0.584861127\) \(a_{42}=-2.429689831\) \(a_{43}=-0.609685065\) \(a_{44}=+0.609482494\) \(a_{45}=+0.507746112\)
\(a_{46}=-0.427906979\) \(a_{47}=+0.080061434\) \(a_{48}=+2.121439325\) \(a_{49}=+0.341848413\) \(a_{50}=+1.145452769\)
\(a_{51}=+0.934671226\) \(a_{52}=+0.475819061\) \(a_{53}=+0.244381822\) \(a_{54}=+1.852899833\) \(a_{55}=+0.312503745\)
\(a_{56}=-0.678531390\) \(a_{57}=+1.454433459\) \(a_{58}=-0.746309107\) \(a_{59}=+0.925331696\) \(a_{60}=-0.240696689\)
\(a_{61}=+0.091166504\) \(a_{62}=+1.649423380\) \(a_{63}=-2.181685552\) \(a_{64}=+0.066657459\) \(a_{65}=+0.243969666\)
\(a_{66}=+2.431353768\) \(a_{67}=-1.736947859\) \(a_{68}=-0.289413838\) \(a_{69}=-0.588238969\) \(a_{70}=+0.385749501\)
\(a_{71}=+0.723101420\) \(a_{72}=+1.103211150\) \(a_{73}=-1.744719941\) \(a_{74}=-0.575922213\) \(a_{75}=+1.574641074\)
\(a_{76}=-0.450354282\) \(a_{77}=-1.342767361\) \(a_{78}=+1.898142246\) \(a_{79}=-0.501399375\) \(a_{80}=-0.336810053\)
\(a_{81}=+0.663769895\) \(a_{82}=-0.722437225\) \(a_{83}=-0.761828694\) \(a_{84}=+1.034226509\) \(a_{85}=-0.148392962\)
\(a_{86}=+0.753100464\) \(a_{87}=-1.025942759\) \(a_{88}=+0.678996074\) \(a_{89}=+0.082805589\) \(a_{90}=-0.627182548\)
\(a_{91}=-1.048289839\) \(a_{92}=+0.182143719\) \(a_{93}=+2.267443820\) \(a_{94}=-0.098894177\) \(a_{95}=-0.230912949\)
\(a_{96}=-1.625813391\) \(a_{97}=-0.190106836\) \(a_{98}=-0.422260957\) \(a_{99}=+2.183179651\) \(a_{100}=-0.487575658\)

Showing 100 of 5000 available coefficients

Rows: Cols: